{"text":"Question: Simplify ((((p*p**(-1\/2))\/p*p**(3\/5))\/(p**5*p**8))**(-2\/19))**(-32) assuming p is positive.\nAnswer: p**(-4128\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.003846882426 to 5 decimal places.\nAnswer: -0.00385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose f**2 - 83456*f\/3 - 333872\/3 = 0. What is f?\nAnswer: -4, 83468\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(h**(-1)*h))**47)**(-3\/2)\/((((h*h\/h**(-1\/3)*h)\/h)\/h*h**(-3))\/(h**(2\/3)*h)**(-44)) assuming h is positive.\nAnswer: h**(-853\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 7590? (a) 2 (b) -0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n be -3 + 23\/((-69)\/3720). Let h = -274 - n. What are the prime factors of h?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 8 (b) -6 (c) 0 (d) 34.3 (e) 0.1 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the third derivative of 1\/20*b**5 + 5\/6*b**3 - 5*b**2 + 0*b**4 + 0*b + 0. Differentiate j(u) with respect to u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 689667 is divided by 229862.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (-8 + -60 - -29) + 16\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -p. Let l(v) = 3*v - 13632. What is l(d(o))?\nAnswer: -3*o - 13632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 11110100022 (base 3) to base 16.\nAnswer: 156b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (78\/(-16))\/(-8*189\/(-1008))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n**3 - 23*n**2 + 26*n + 37. Give t(-24).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = n**2 + n - 2. Let s be o(1). Suppose 0 = -2*i - s*i + 498. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 17472766, 17472766, 17472768, 17472772, 17472778?\nAnswer: 17472786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*u - 4*u = -60. Calculate the greatest common factor of 8 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t + 2*t = r - 8, -3*r - 2*t - 8 = 0. Suppose r*o = 25*o - 575. Let z(h) = -7*h**3 + h**2. What is the remainder when o is divided by z(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -9 + 15. Let j = a - 30. Let m = -24.2 - j. What is the biggest value in -2\/9, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 9*k**2 - 4*k + 24. Let w(y) = y**3 - 9*y**2 + 3*y - 20. Give 5*r(l) + 6*w(l).\nAnswer: 6*l**3 - 9*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be (0 + 0)\/(-3) - -74. Suppose -1 = -t - 46. Let h = t + n. Calculate the remainder when h is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 41\/6 of a year?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 22*v - 2*v + 4*v + (0 - 5 + 3)*(3*v - 4*v + 2*v) + 5*v - 3*v - 4*v + (v + 3 - 3)*(-2 + 3 - 2).\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 12963778207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**3 + 3*y**2 + 7*y + 10. Give g(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 269072628457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.8? (a) 2\/81 (b) -29 (c) 2\/25 (d) 7 (e) -2\/13 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.01*1.32.\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -2*g**3 - 7*g**2 - 7*g - 4. Let o be f(-4). Let b = -35 + o. Suppose -b*j + j = -5*m + 7053, 0 = j + 2. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 2*d + 7. Let o(s) = s - 1. Let b(k) = -8*k + 2. Let g be b(-2). Let j be (-2)\/(-9) - 76\/g. Let z be o(j). Give l(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 + 10 + 3 + -2 - 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0 - (-68)\/(4\/(-4)). Let k = y - -679\/10. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v + 25 = -4*o, -20 = 5*o + 339*v - 344*v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1.26, -0.4, 1036, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -6*b**2 + b + 2. Let v be p(2). Find the common denominator of 8 - (902\/32 + -16) and (-3)\/(-6) - (-3)\/v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 11310 - a?\nAnswer: 11302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 779*i + 781 - 781 - 99*i as q + p*i and give p.\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b**3 + 3*b**2 - 3. Let j(w) = 2*w**3 + 5*w**2 - 5. Let t = 12 + -22. Give t*i(l) + 6*j(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49621 is divided by 141?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 22 = b - 0*b, 4*b + 2 = -2*s. Suppose -b*u = -u - 48. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**2 + 14*y**3 + 1 - 2*y + 2*y. Let q be k(-1). What is the units digit of 88\/14 + 4\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1195861239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 262 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w + 8. Suppose 4*h = 3 + 21. Give p(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -34132504*o**4 + 385785*o**2 + 44*o + 2 wrt o?\nAnswer: -819180096*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27597 is divided by 200?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*m**2 - m**4 - 16*m - 96 + 48*m**2 + 5*m**4 + 36*m**3 + 31*m**2 = 0. What is m?\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -51349 + 6*g**2 + 51338 - 5*g**2 in the form m + s*g + q*g**2 and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 17144033759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - -12 - -3) + (-16 - (57 + 21)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5076 + 5092. Let o = 4 + -14. Let n = o + d. Calculate the lowest common multiple of n and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v + 45 = -3*q, -5*q + 2*v - 1476 = -692 - 697 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1743411, -3486830, -5230249?\nAnswer: -6973668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2068, -4459, -6830, -9187, -11536?\nAnswer: -13883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3 - 3. Find the third derivative of k**2 + 3*k**5 + x*k**2 - 4*k**2 wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1948643357.\nAnswer: 17783, 109579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 104*x = -32*x + 816 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3\/2 - -33\/14. What is the nearest to 1\/4 in c, -1\/6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 2*o**2 + 16*o - 5. Let a(h) = -292*h**2. What is z(a(n))?\nAnswer: 170528*n**4 - 4672*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*b**2 - 2*b**2 - 3*b**2)*(-1 - 2 + 0) - 5*b**2 + 2*b**2 + 0*b**2 + (-3*b + 2*b - b)*(1 + 1 - 3)*(0*b + 4*b - 3*b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 15 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be 5\/(4\/12 - 0). Suppose -s = 5*o - 75, -4*o = 3*s - 117 - 108. What is the highest common factor of v and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -14 + 12. Let s = -13 + 13.35. Let i = s + -0.05. Which is the second biggest value? (a) i (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/6, -2\/17, -9, -4.86?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (1\/(6\/(-43)))\/(((-150650)\/2760)\/(-655))\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 43*c**2 - 2*c - 1. Calculate the remainder when d(2) is divided by 22 + 5 + 3 - (20 - 18).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 5*s + 7. Let l(q) = -4*q - 6. Let z = 70 + -65. Give z*f(g) + 6*l(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1110 - -1000?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x be (6\/(-12))\/(830\/(-832) - -1). What is the units digit of 3092\/6 - x\/(-156)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -97\/2460 and 35\/1368.\nAnswer: 280440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.8 + 1.63. Let l = r - -0.18. Let x = -0.09 - l. Which is the closest to 2? (a) x (b) 2\/11 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -r**3 + 13*r**2 + 14*r - 6. Let w be x(14). Let l(s) = 4*s**2 - s - 8 - 3*s**2 + 5*s. Is l(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 67 and 64186?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -59487, -59486, -59485, -59484, -59483?\nAnswer: -59482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -138*x + 2354. Give s(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -219579 (base 12) in base 3?\nAnswer: -1000011120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*x - 38*x - 748 = -85*x for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = h. Let j be 0 - (16\/4)\/(-4). Let r(q) = -11*q**2 - 2*q + 7. Let w(y) = j*r(y) + 2*b(y). Find the first derivative of w(d) wrt d.\nAnswer: -22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 40952 and 1104?\nAnswer: 5651376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 308730 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 161004 is divided by 287.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.3792 - -0.0792. Which is the nearest to 0.08? (a) -3\/4 (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 16*p**2. Let w(k) = -15*k**2. Give -3*s(b) - 4*w(b).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 13 + 17. Let g = z - 25. Suppose -q - 10 = 3*a, 0 = -2*q - 3*a - 0 - g. Solve -x = 4 - q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 h and 1 z when four letters picked without replacement from hhzhz.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 - -5 - ((4 - 1) + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.25 and -0.5.\nAnswer: -0.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, j: 1, m: 3}. Give prob of sequence mj.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 12911*p + 3147*p - 57260*p - 36478*p.\nAnswer: -103502*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 180*g**4 - 29*g**4 - 48*g**4 + g - 70*g**4 + 3 + 13*g**2 - g**3 in the form b*g**3 + p*g**4 + z*g + o + w*g**2 and give p.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -5*j**2 + 28*j - 15. Let s(g) = -2*g**2 + 9*g - 5. Let n(x) = -3*p(x) + 8*s(x). Let a be n(-10). Calculate the greatest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5075)\/3480*828\/230?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -0.3 (c) 21 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 25 = -29. Solve -n - 7 = -2*q, -n = -3*q + 3*n + i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 4, l: 15}. What is prob of picking 3 m?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1644, 6509, 14610, 25953, 40544?\nAnswer: 58389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 477598972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out -1161 * -5.\nAnswer: 5805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*n**2 + n**2 + 4*n**2)*(3*n**3 - 7*n**3 + n**3) + 0*n**5 + 3*n**5 + 0*n**5.\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2914537 minus -1980.1511?\nAnswer: 2916517.1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 5043566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -5 at most -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) be the first derivative of -h**7\/840 + h**5\/30 + 2*h**3 + 9. Let t(l) be the third derivative of o(l). What is the second derivative of t(m) wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1375.55 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -54\/11 and (-7)\/(-1) + (-14)\/(-21) + 361\/(-24).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 36299, 36302, 36305?\n\"Answer: 3*q + 36296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*r + 1029 = 11*r. Suppose r = -10*c + 3119. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**3 + 2*q**2 - 4*q + 4. Let c(u) = 4*u**3 - 9*u**2 + 16*u - 17. Let p(x) = -97*x - 677. Let a be p(-7). Determine a*c(n) + 9*o(n).\nAnswer: -n**3 - 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o + 4. Let n = 11 + -6. Suppose 0 = -n*w - 14 - 51. Let s = w + 18. What is r(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 65*r - 104*r + 20*r**2 + 151*r - 16*r**2 + 40*r.\nAnswer: 4*r**2 + 152*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*x + 13*x - 4*v + 26 = 0, 5*v = x + 23. Suppose -3*p + 20 = x*h, 2*h - 24 = p - 5*p. Solve -q + p*q = -6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-7213)\/7 + 2*(-6)\/(-28). Let z = w - -1533. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1.1 - -0.1. Let t = 2.2 + -1.3. Let s = t - 0.6. What is the second biggest value in f, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2411438833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2744387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 83083523.1 rounded to the nearest one million?\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 2949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(5\/8)*f)\/f)**(-7)*f**(-10)\/f*f*f\/f**(4\/27) assuming f is positive.\nAnswer: f**(-2921\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2*-2)\/((-3)\/3). Suppose 0 = -3*t + 4*s + 67 + 100, -k*t + 171 = 5*s. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -19\/4196436 and 29\/1192.\nAnswer: 8392872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37 = 17*w - 14. Suppose 2*y - w*k = 41, 9*y - 13*y + 97 = -k. Calculate the remainder when 139 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*q - 11828 = -2214. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = -2*d + 145. Let n = -67 + d. Let z = 11 + n. What is the highest common divisor of 44 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -294445843*g**4 + g - 366570118 wrt g?\nAnswer: -3533350116*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -13 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify i\/(i*i\/(i\/((i\/i**28)\/i)))*i*i**(-31)*i assuming i is positive.\nAnswer: 1\/i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -4*j**2. Let w(l) = -21 + 21 + l. Let x(f) = -f**2 - 3*f. Let n(b) = 3*w(b) + x(b). What is n(z(o))?\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-225)\/(-135) + (-94)\/(-3). Solve -6*x + 45 = p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 627 + 5*o**2 - 1293 + 666.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 7081*c*p**3 - 46*c*p*w + 570233*p**3*w wrt c?\nAnswer: 7081*p**3 - 46*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide 256530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -21*v - 144. Let f(n) = -n. Let i(j) = 18*f(j) - q(j). What is the remainder when 52 is divided by i(-42)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*j**3 + 286174*j**2 + 1313496*j wrt j.\nAnswer: -12*j + 572348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1.9162 + 1.9762. What is the nearest to 0.31 in -7, -3\/4, t, -2\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = a**2 - 9*a + 2. Suppose 8*w + 268 = 332. Give k(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-16)\/(-28) + 1392\/(-84). List the prime factors of (-2716)\/(-5)*(-40)\/o - -6.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10 - 1100011?\nAnswer: -1100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -i**3 + 9*i**2 - 11*i - 1. What is q(8)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1\/(-5) + 131\/5. Let p = a + -16. Suppose -75 = -7*m + 4*m. Solve 0 = 5*r - p*r + m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 147716 + -59433. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = s + 31, -65 = -0*r - 2*r + 3*s. Calculate the remainder when r is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -w + 5*p, -2*w - p + 8 + 6 = 0. Let c = w + -1. What is the lowest common multiple of c and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 1, z: 2, w: 1, u: 4, t: 7}. Give prob of picking 1 w, 1 t, and 1 z.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 2*i + 1. Let r(y) = 5*y + 3. Give -6*r(q) + 13*x(q).\nAnswer: -4*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -17 - 23 + 19 - 20*q**2 with respect to q.\nAnswer: -40*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 573 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -16, -9, 2, 17, 36?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4565366\/39 + (-10)\/15. What is n rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8285 greater than 74567\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(-5)*9864\/2192?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 10024055 and 10.\nAnswer: 20048110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j be (2\/6)\/(1\/15). Suppose z - 1 = 0, z = -j*v - z + 72. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -137655*a*t**2 + 16*a*t - 114*a - 2*t**2 - 6*t - 1 wrt t.\nAnswer: -275310*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -117 (base 12) to base 5\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 5 = -d. Let u(c) = -3 + d + 2 + 12*c. Let q be u(-9). Round q to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*w - 15 = 13*w. Suppose 2*c - 15 = -c. Suppose 0 = 5*i + a - c, -i = 4*i + w*a - 5. What is the second smallest value in 2, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 7*k + 6. Let h be (-4 - -2)*4*(-15 + 14). Let a(n) be the second derivative of 11*n**3\/6 + 9*n**2\/2 - n. What is h*g(d) - 5*a(d)?\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 230882.\nAnswer: 2, 67, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y - 1. Let r(w) = 5*w - 4. Let x be 0\/2 - (-10)\/5. Let z(i) = 0*i**3 + 0*i**3 + 3 - 2*i**2 - 3*i + i**3. Let t be z(x). Calculate t*a(m) + r(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ggn when three letters picked without replacement from gggxgxggxgngx.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5*0.051.\nAnswer: 0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*q + 624 = -172*q - 926 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t**2. Let l(k) = -3 - 8*k - 9 - 8 - k**2 + 16. Let i(q) = 5*q**2 + 30*q + 15. Let r(y) = 4*i(y) + 15*l(y). Calculate b(r(u)).\nAnswer: -25*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -31 or -33?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = 24 + -19. Suppose -z*r + 163 = -22. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.572010432 rounded to 5 dps?\nAnswer: 0.57201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 109 divide 115325182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -w**3 + 5*w**2 - w + 10. Let f be n(5). Let x(b) = 0 + f - b + 4*b + b**2. Is 5 a factor of x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0131832 rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100 - -111001101110?\nAnswer: 111001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 43274691093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 3 + 1)*(0*q**3 + q**3 + 0*q**3) + q + 2*q**3 - q + (32 + 12*q - 32)*(0 + 3*q**2 + 0).\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -10421985.\nAnswer: 1\/2084397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 853067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -1. Suppose 18 = -4*n + n. Let o = n - -4. Let x(a) = -187 + 564 + 0*a - 186 + a - 189. Give o*x(y) - 5*w(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2591.\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 223576363, 447152724, 670729083, 894305440, 1117881795, 1341458148?\n\"Answer: -m**2 + 223576364*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-1\/9)*x)\/(x\/(x*x**(-2\/29))))\/((x*((x**(-1)\/x)\/x)\/x*x*x)\/x*x)**(-24\/5) assuming x is positive.\nAnswer: x**(-5194\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from cwdcjpc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 121 - 29*j**2 - 71*j - j**3 + 2*j**2 - 18*j**2. Let r(z) = 45*z**2 + 70*z - 120. Let q(p) = -5*o(p) - 4*r(p). Factor q(a).\nAnswer: 5*(a - 1)*(a + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*v - 6*v + 44. Suppose -4*k + 4*p + 372 = 0, -v*k + 4*p = k - 469. Suppose 2*m - 37 = k. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 8\/3*(-15)\/(-10). Suppose y = 4*h - 4. Suppose 23 + 17 = h*z. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -93136 divided by 18\nAnswer: -46568\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -81\/8 and 75\/45*11\/(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 85 = s - 2*s, -5*y = -2*s - 460. Let k = -48 + y. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 93 less than -4.85?\nAnswer: -97.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 0.02283+-0.2\nAnswer: -0.17717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -11 - -16. Let k = 5.00008 - n. Round k to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 7036, 7035, 7034, 7033, 7032, 7031?\n\"Answer: -f + 7037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 157\/221676 and -101\/4524.\nAnswer: 221676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 46, 4, 3, 25.\nAnswer: -2, 3, 4, 25, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -233*j**4 + 682*j**2 wrt j?\nAnswer: -5592*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 39 and 429.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1300.984 + 1301. Sort j, 1, -1\/7, 2\/7.\nAnswer: -1\/7, j, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 82698 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**3 - 4*s**2 - s + 3. Let x(w) = w + 5. Let g be x(-8). Let m be r(g). What is the common denominator of 85\/4 and (348\/11)\/4 + m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 35467492 is divided by 118?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -20*i*l**2*r**2 + 2*i*l**2 - 2*i*l + 58*l**2*r - 5*l*r**2 - 4*l wrt i.\nAnswer: -20*l**2*r**2 + 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/6 - (23\/(-115) + (-1)\/(-5))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s - 1. Let b = 40 - 10. Let g = b - 17. Suppose -3*q - w - 3 = 0, 1 = -4*w + g. What is r(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 535 - 539. Let q = -119 - -471\/4. What is the nearest to 1 in 0, q, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -17202, -13863, -10524, -7185, -3846?\n\"Answer: 3339*t - 20541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.041839 plus -0.08600093?\nAnswer: -0.12783993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -176178 - -176020. Let q = 0.2 + -0.1. Which is smaller: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 6265 by 5.\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4732014831 to the nearest integer?\nAnswer: 68790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1343029 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:13 PM and 7:24 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1942 or 1891?\nAnswer: 1942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47*r + 12017 = -29249. Suppose 3*y - 1337 = 2*j, y + 4*j + r = 3*y. List the prime factors of y.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -u**3 - 7*u**2 - 5*u + 11. Let h be 1\/(-4) + 23\/(-4). What is the remainder when n(h) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*b - 4*b + 9*b)*(-86 - 95 + 6) + (-3*b + b - 3*b)*(0 - 1 + 0).\nAnswer: -2095*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -8 (b) 3 (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 478684, 957367, 1436052, 1914739, 2393428, 2872119?\n\"Answer: d**2 + 478680*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(-5) - 40\/100.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -230124002 (base 5) to base 6\nAnswer: -33512314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -181 = -7*r - 76. Solve 0 = 11*u + r - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6 + 17. Suppose m - 14 = -m. Suppose q = -3*u + 2*q + m, -2*q - 8 = 0. Which is smaller: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 416 minutes before 10:29 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {x: 1, q: 2, s: 3, i: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.144 and -84813?\nAnswer: -12213.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*-2*sqrt(132))\/(sqrt(44) + sqrt(88)\/sqrt(2)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -33*n**2*p**3*t - 483*n**2*t**3 - n*p**3 - 18*n*p**2*t**3 - 43*n*t**3 - p**2*t**2 + 3*t**2 wrt n.\nAnswer: -66*p**3*t - 966*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 679626093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2*2\/(-8)*1*-10. Sort -2, -5, o in ascending order.\nAnswer: -5, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the first derivative of t**7\/420 + t**6\/120 - t**3\/3 + 3. Let q(r) be the third derivative of h(r). Find the third derivative of q(v) wrt v.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (2 - (-99)\/(-27))\/(18\/(25704\/(-70)))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1.1 - 1. Let w = -0.5812 + 0.0812. Let h be 8\/5 - (-24)\/60. Which is the fourth biggest value? (a) h (b) t (c) -4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 20464096694632 from 0.5.\nAnswer: -20464096694631.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a + 9. Let t be w(-7). Let y = t + 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**0*j)**(1\/31))**(-3\/8) assuming j is positive.\nAnswer: j**(-3\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 17 and 9367?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = n - 3*j + 1974, 2*j - 1971 = -3*n. Suppose 5 = 5*l - n. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2961 and 1129266180.\nAnswer: 2961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -14 + 20. Let h be (-30)\/7 + (-24)\/(-84). Let b be h\/42*d\/(-2). Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -39*t**2 - 13*t**2 + 6*t**3 + 5*t**3 + 52*t**2.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -182*m - 1813 = 2919 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 1481342 (base 9) to base 15\nAnswer: 113475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 0 greater than or equal to -5\/89287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -22423889020 - 231.9?\nAnswer: -22423889251.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (-y**2 - 5*y**2 + 25*y**2)*(2 - 2 - 2*y)*((5 - 2 - 2)*(1 + 1 - 4) + 3 + 2 - 2) in the form a*y**2 + t*y + v + s*y**3 and give s.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -64*m - 2. Let z(p) = 5*p. Let u(q) = 10*q. Let s(b) = 3*u(b) - 5*z(b). Give s(i(j)).\nAnswer: -320*j - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 250*a**3*v**3 + 124*a**3 - 6*a**2*v**6 - 7*v**2 wrt v?\nAnswer: 1500*a**3 - 720*a**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in seven halves of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l**29)**(-18)\/(l**(-3)*l)**24)**(-15\/4) assuming l is positive.\nAnswer: l**1845","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2*(-1)\/(-12))\/(4\/(-8)). Sort 0.1, 7, d, 0 in decreasing order.\nAnswer: 7, 0.1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 16590 and 1050?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5.628 + -6.35832. Let a = o + -10.27478. Let b = a - -11. What is b rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y = -80*t - 52, -t - 3745 + 3723 = -3*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -7*h**2 - 16*h + 2. Suppose -i = -3*m - 5, 19 = -11*m + 6*m - i. Let u be q(m). Let g be 1*-16 - 2\/(-1). Does u = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -o**2 - 197*o + 10006. Determine i(-239).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -23983567+-0.6\nAnswer: -23983567.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 31.4 - 29.4. Let f be -2 + 4 - (-18)\/(-8). Let g = 2.6 - 3. What is the third smallest value in g, n, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2273646290 to the nearest 100000.\nAnswer: 2273600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1.6383 - 4.3997. Round t to one decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 7*d**3 - d**2 + 7*d + 6. Let s(l) = -8*l**3 + l**2 - 8*l - 7. Calculate 5*b(o) + 4*s(o).\nAnswer: 3*o**3 - o**2 + 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -1 + (-1 + 13 - 3 - 24)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 3 = -7. Let h = r - -1. Let n(d) = -d - 6. Calculate n(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 621*o - 2*t = 614*o + 30, 5*o = -2*t + 18. Solve 40 = -o*b - 5*q, -5*b + 12 = 2*q + 45 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from kxjxxnnnnknnxkkk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 68, -1468, 2, -5, 4, 5, -11.\nAnswer: -1468, -11, -5, 2, 4, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 94*j - 22. Let q = -98 - -100. Let o be m(q). Let i = o + -62. Calculate the highest common factor of 13 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -56 + 61. Solve 2*n = u*h - 9 - 6, n = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 314040 at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) be the first derivative of 376*i**4 - 16*i**2 + 20*i + 725. Find the second derivative of d(l) wrt l.\nAnswer: 9024*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 961 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: List the prime factors of 71063.\nAnswer: 179, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from rqrqeqqqeqqeqqqreq.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 1, t: 2, e: 2, g: 1, y: 2}. What is prob of picking 1 g, 2 e, and 1 j?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 10) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is q in -4*q**2\/3 - 82*q\/3 - 88 = 0?\nAnswer: -33\/2, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c be (315\/6)\/(-7)*2. Let r = 43 + c. Is (-3)\/4 + (-7)\/r - -582 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 2 + 0)*(-12 + 4 - 4 + (-2 + 0 + 0)*(-1 + 4 - 2))*(2*o - 6 + 6) as j + f*o and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -94 + 81 - (111 - 100)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be (2\/(-8))\/(28\/(-10528)). Solve 111*o = b*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 2*c - 4*c**2 - c**2 + 1 - 4*c. Let j(k) be the third derivative of -k**5\/60 + 5*k**4\/24 + 7*k**3\/6 - 17*k**2. Let p be j(6). Give z(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 5*z. Let y(g) be the third derivative of -g**7\/1260 + g**4\/12 + g**2. Let o(k) be the second derivative of y(k). Determine a(o(c)).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/11 + 102754\/163416)*80\/(-3)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.11 from -10422696267.\nAnswer: -10422696267.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Expand 2*w - 6*w - 2*w**3 + 3*w - 2 + (2 + 2*w**2 - 2)*(5*w - w - 3*w) - w**3 + w**2 - w**2.\nAnswer: -w**3 - w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -l - 7. Let q be g(-7). Let b be q - 3 - -66 - -2. What is the greatest common divisor of b and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 36239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.066, -0.27, -3\/5?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4\/9 or -1\/16?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -1898, 11, -3666, 1\/6 in descending order.\nAnswer: 11, 1\/6, -1898, -3666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**2 - 20*w - 81. Let q be y(-7). Suppose -2*g + 3*v + 6 = -3*g, -q = 5*v. Let d = 4 + -2. What is the nearest to -1\/3 in -0.3, d, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert f8 (base 16) to base 12.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.56*-31.\nAnswer: 17.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (33\/((-99)\/(-24)))\/12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -15645 (base 7) in base 3?\nAnswer: -20002120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14127*s**2 + 13840*s**2 + 14136*s**2 - 56237*s**2 + 14139*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 68442*k**2 + 16*k + 68977*k**2 - 16*k - 205856*k**2 + 68435*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 22032 and 5712?\nAnswer: 154224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2545009 and 217621.\nAnswer: 2058912281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((b\/(b\/b**12))\/b*b*b*b\/(b\/b**(-3\/4)))\/(b**14*((b*(b**(-1)\/b)\/b*b)\/b)\/b))**(-3\/43))**46 assuming b is positive.\nAnswer: b**(-345\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 41481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**2 + 3*l + 2. Let t be d(3). Let c(w) = -t*w - 7*w + 1 + 3*w + 2*w. What are the prime factors of c(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (3 - 7 - -3)*(-2)\/5. Find w, given that -r*w**3 + 0*w + 0 + 0*w**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 3 g when four letters picked without replacement from uuuuuuguuuuuuggguu?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = -27 + 32. Suppose -33 = 2*q - z*q. Calculate the remainder when 42 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 164604 (base 7) to base 8.\nAnswer: 100163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 - 0. Let r be ((-9)\/18)\/(s\/(-1)). Let d = -101\/42 + r. Is -4 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 659*o + 9882. Let v be n(-15). Let a(d) = 68*d + 11. Let w(q) = -34*q - 5. Calculate v*a(i) - 7*w(i).\nAnswer: 34*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*w - 27*w - 11 = 0. Let m be (3 - 2 - 5)\/(2\/w). Suppose o + 5 = -3*k, -2*k + m = 3*o + 2. Solve 3*q - 2 - o = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/13? (a) 1 (b) 50 (c) -1\/5 (d) -2685\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that -5*p**3 + 60*p**2 - 160*p = 0.\nAnswer: 0, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**3 + 11*v**2 - 11*v + 17. Let o be z(-12). Suppose g - 457 = -3*y, 0*g = 4*g + o*y - 1800. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes after 3:57 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3\/8 - -1\/24. Let b = -0.09501 + 5.09501. What is the closest to -3 in b, p, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 718985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7 - 0. Let g = -4 - 1. Let m = i + g. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -17 + -21 + 14 + 9 - -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (6\/5)\/(6\/20). Suppose -2*h = h - 15. What is the second derivative of -z*x**5 + 5*x**5 - h*x + 7*x wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -2*(-18)\/(-10)*(-175)\/14. Let n = -54 + w. Let p(s) = s**3 + 8*s**2 - 13*s - 8. What is the units digit of p(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 1\/3 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uclculuyuouuycuuul. Give prob of sequence lc.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 254380 a multiple of 395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/(-4)*68\/(-1632)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(480) - sqrt(480)*2*3)*3)\/(((2*sqrt(200))\/sqrt(4))\/sqrt(5)))**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -3*h - 7. Let n be 2*(9\/(-6) - h). Let b be (-2)\/6 - (-46)\/n. What is the highest common divisor of b and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27119254017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = 112279 - 56955. Round b to the nearest 1000.\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 + 1 + (7 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sxuxunyrxnyx. What is prob of picking 1 u and 2 x?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 49.2397 litres in millilitres?\nAnswer: 49239.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 2288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kmy when three letters picked without replacement from {k: 2, y: 2, m: 1, v: 6}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 121\/50 and -27\/250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (417\/40 - 9)*(-10)\/(-6) - 2\/1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Factor 3*b**2 - 20880*b.\nAnswer: 3*b*(b - 6960)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -8c8a - -15?\nAnswer: -8c75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 750 = 4*w - 2886. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) be the first derivative of -45*w**2 + 40*w + 333. Let q(y) = -7*y + 3. Calculate 3*j(r) - 40*q(r).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -361, -531, -507, -289, 123, 729, 1529?\nAnswer: 2523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ccrecreereerareer. What is prob of picking 2 r?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 692 = -4*r, -2*c - 499 = c + 2*r. Let m = c + -55. Find the common denominator of (-2 - m\/110)*65 and -35\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 7*o**3 - o**2 - 2*o + 2. Give b(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence beb when three letters picked without replacement from bbbbebbbebbbb?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2*o + 0*o + o)*(-19*o**2 + 3*o**2 - 3*o**2) - 2*o**3 + 0*o**3 + 3*o**3)*(o - o + o).\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 6*i = -9*i + 47, x - 4*i - 7 = 0. Suppose -2*o - x*o = -o. Let c(d) = d**2 + d - 25. Calculate c(o).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 851086 is divided by 851061.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 9\/19427792?\nAnswer: 9\/19427792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1276*x + 568*x + 165 + 444*x + 599*x wrt x.\nAnswer: 335","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2310 and 1995?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1 - 1. Let c = -4 + 3.5. Let o = f - c. What is the third biggest value in -4\/7, -0.1, o?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n**2 - 17*n - 11. Let f be k(-16). Let p be f + (-6 - (-85)\/50). Suppose -3*a - 4 = -7*a. Which is smaller: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20 - -466?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -5484204.5 rounded to the nearest one thousand?\nAnswer: -5484000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 + 1 - 2 + 24*l to the form j*l + i and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1\/227516 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00007300585 to 6 dps.\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = k**2. Suppose -n - 5*h = 13, -3*n - 6*h - 9 = -h. Let x(q) = 7*q + n*q - 3*q - 4*q. Give x(b(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -98310, -98311, -98312?\nAnswer: -98313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7 - 5. Suppose -5*o + 17 = 2*h, -4*o = -h - o + 3. Suppose 5*x - h*x = -3*r + 27, 0 = -4*x - 12. Solve w*n - r = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f + 25 = 3. Let v(b) = b**3 + 11*b**2 - b - 6. Let g be v(f). Differentiate g - 10 + 8*w**2 + 5*w**2 - 9 with respect to w.\nAnswer: 26*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4 and 8.821339?\nAnswer: 35.285356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 9*q. Let j be w(1). Suppose -r - 4*v + 9 = 0, 7*r = 2*r + 4*v + 69. Solve r = 4*s + l, 2*l - j - 3 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 1 and -212.9?\nAnswer: 213.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = -225 - -226.27. Let l = h + -52.27. Let c = l + 50.4. What is the nearest to -1\/3 in c, 0.4, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11000 + 20002?\nAnswer: 101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 18234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**3 - 13*p**2 - p + 12. Let g be y(13). Let s be (g\/(-3))\/((-3)\/36). Let a = 17 - s. Calculate the remainder when a is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*r + 5 = -61 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4798*i - 373996 = -8559*i for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -62 plus -251.43?\nAnswer: -313.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-8)\/(-12))\/(2\/15). Suppose 5*b = -3*l + 133 - 40, -5*l + q = 0. Calculate the least common multiple of b and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*c + 2*c + c - 8 + 27 to the form v*c + q and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 38a + 16660?\nAnswer: 169ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6 in 7, -14, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 2, o: 1, j: 4, h: 2, u: 1}. What is prob of sequence uuj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 18121595 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 9a8 (base 11) to base 10\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) -2\/19 (b) 2\/9 (c) -2 (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, e: 6, f: 9}. What is prob of picking 1 f and 1 r?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*v**3\/19 + 10750*v**2\/19 - 95728*v\/19 + 84992\/19 = 0.\nAnswer: 1, 8, 5312\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -25*f. Let r(x) be the first derivative of 0*x**2 + 0*x - 1\/3*x**3 + 72. Give r(d(a)).\nAnswer: -625*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 69527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(19) + 0 + 3)**2*4.\nAnswer: 24*sqrt(19) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-5)\/(-15))\/(2\/(-42)). Let w be (-16)\/4 - (r - 1). Suppose 3*o = 0, w*o + 12 = z - 17. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2*2\/3*6\/4. Suppose 3 = f - 0. Solve s = 5*k + 4*r - 7, -4*k - f*r = -7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2800.553 millennia to decades.\nAnswer: 280055.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3024 divided by -189.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1677 a factor of 13764816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -5*q**2 + q + 57. Let v(k) = 3201*k. Calculate d(v(n)).\nAnswer: -51232005*n**2 + 3201*n + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does -87 = 129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3.4 + -3. Suppose o + w - 5 = -w, 4*o + w = -1. Let k be o - (10\/4)\/(-5). Sort 5, m, k in increasing order.\nAnswer: k, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 102\/1506607 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xxp when three letters picked without replacement from {x: 3, e: 3, p: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-10)\/(-8))\/(34\/816). Suppose 0 = 46*t - z*t - 12176. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 45.8 - -8.2. Let i = v + -52. What is the third smallest value in -1, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5 (b) 0.4 (c) -3730.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10238 divided by -2.\nAnswer: -5119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -i + 42. Is o(-6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-42)\/(-10) + (-1)\/5. Suppose 3*m - 12 = -v, 8*v - 4*v = r*m. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.123 * 644.\nAnswer: -79.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 18*l + 2. Let g be h(11). Find the common denominator of 5\/(-2)*(-488)\/g and -79\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at least as big as -8\/1302703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000002158957877 to 7 decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1271, 1509, 1749, 1991, 2235, 2481?\nAnswer: 2729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2499716749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 22490*h**3 + 49*h**2 + 7*h + 21. Let d(a) = -22489*a**3 - 42*a**2 - 6*a - 18. What is -7*d(q) - 6*f(q)?\nAnswer: 22483*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 6660101 divided by -30?\nAnswer: -6660101\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 210310*f - 38646*f + 303335*f - 12. Let h be c(-12). What is h rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4 - -594652bb?\nAnswer: 594652b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 5085187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.079 + -0.02457653760573.\nAnswer: -0.10357653760573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 12917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 0 - -412?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 0.415 * -1\nAnswer: -0.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = 15 + -11. Let y = -26 + 16. Let g = y - -9. Which is greater: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 83 in -0.3, 1739, 2\/13, 21, -0.5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by 33.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 5, e: 8, q: 2}. Give prob of picking 3 e and 1 b.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*sqrt(448) + 4 + sqrt(343).\nAnswer: -41*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 411 is divided by 67.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-172)\/(-258)*69\/(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 1456\/156*3\/(-4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1285128 divided by 78\nAnswer: -16476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*c + 3*c + 30 = 5*q, 4*q + 47*c - 45*c - 2 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 32330221 + 3030?\nAnswer: 32333311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/2)\/((-14)\/(616\/(-165))).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - ((-77)\/22)\/(2\/1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1747 - -1753. Let j = -2 + 2. Let x = 18 - j. What is the highest common divisor of x and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 35933 is divided by 3992.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3555154703 to the nearest integer?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 59 a factor of 98859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 181227331 and 2718.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 120 is divided by 1182\/42 - 0 - ((-216)\/56 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = m, 0 = -3*k - 48*m + 51*m + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h be (12\/(-14))\/((-16)\/168). Suppose 12*p - h*p = 30. Let m(d) = d**2 - 11*d - 8. What is m(p)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -178885 divided by 25555.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 2663327256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z = 4*w + 12, 56*w - 53*w = -z - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j + j = t - 7, 2*j - t + 10 = 0. Let z(f) = -f + 1. What is the units digit of z(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1 + -21?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -51*p = 11*p - 86*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 889947 or 97?\nAnswer: 889947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*q**2\/7 - 485663340*q\/7 - 29483609977494450\/7.\nAnswer: -2*(q + 121415835)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1070270 divided by 5.\nAnswer: -214054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -0.98155 to 2 decimal places.\nAnswer: -0.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ljuwjrjudllwlrwdwjww. What is prob of sequence wu?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s = 3*z - s - 80, 5*s = 5*z - 150. Suppose 4*v - 3*h - 275 - 166 = 0, 4*h + 551 = 5*v. Let c = v - 94. Calculate the remainder when z is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 230*f - 229*f - 580 = 4*u, u = -f + 575. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 10 = -4*v + 2*d, 4*v - 3*d = 21. Suppose 3*i + 12 = v*i. Suppose -i*r - r = -630. What is the highest common factor of r and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j. Let l(d) = -7*d - 4. Let i be 2*1\/((-2)\/(-7)). Let w be -3*1 - (i - 13). Let h(n) = 6*n + 3. Let s(k) = w*l(k) + 4*h(k). Give -11*g(z) + 4*s(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in -5, -0.070109, -5.8?\nAnswer: -0.070109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6 - 4. Suppose 0 = -0*p + a*p - 64. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2)\/(-9) - 238\/(-63). Find the third derivative of -t**3 - b*t**2 - 14 + 14 wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11 - 3*w + 3*w**2 - 4*w**2 + 4*w**3 + w**2.\nAnswer: 4*w**3 - 3*w - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 95 and 35473?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7 + -13. Let p(l) = -l**2 - 6*l - 6. Determine p(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (l + 0*l - 3*l)*(-4 + 7 + 0)*(5*l**3 + 10*l**3 - l**3).\nAnswer: -84*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 249266573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 2 i when three letters picked without replacement from iiveiveiiveiv?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fflfffffcffff. Give prob of picking 1 l and 3 f.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = -13034.7 + 13070. Which is the third smallest value? (a) -0.4 (b) z (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -6*j**2 + 10*j + 13 + 3*j**2 - j**2 + 3*j**2. Let l be z(11). Suppose -4*m + 10 = -l. Solve 2*t = -b + 3, -3*b + 5*b - 13 = m*t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 10 - 5. Let m(g) = 6*g - 66. Let d be m(11). Suppose 9*a - j*a = d. Are 6\/11 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*j - 11 - 20*j + 11)*(3 + 8 - 10).\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 5*s = -15, -s - 1 = 4*i + 2. Suppose r + 2*r + 3 = i. Sort r, -5, -10 in decreasing order.\nAnswer: r, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the second derivative of -v**4\/6 + 626*v**3\/3 - 97969*v**2 + 4*v + 127. Factor h(z).\nAnswer: -2*(z - 313)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 15 and 151.8833 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put together -33251395 and -0.3.\nAnswer: -33251395.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*x - 24*x = 948. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*i, -l - l = -5*i - 739. What is the smallest common multiple of 2 and l?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pgipqfgppqppgig. What is prob of sequence ppqg?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -153, 7, 161, 291, 379?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4962047 or 4962074?\nAnswer: 4962047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -520, -494, -278, 224, 1108, 2470?\nAnswer: 4406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1\/353 (b) -1.4 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*m - 3 = -11*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = 7*a - 20. Suppose -6*s = -2*b - s + 30, -5*b + 2*s + 33 = 0. Suppose -c - 2*w - 2*w = 15, 0 = -b*c + 4*w + 45. Solve 9*f = a*f - c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 6734\/(-1428) + (-3 - (-98)\/34) and 67\/3194.\nAnswer: 9582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -126709 divided by 16?\nAnswer: -126709\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8 + 13. Find the third derivative of 2*p**2 - 3*p**2 - 5*p**v - 4*p**2 wrt p.\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 237607353 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9*w**5 + w**3 + 319*w**2 wrt w.\nAnswer: 540*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2148 - -5529. Suppose y = 34*m - 27*m. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = u**3 - 11*u**2 + 2*u + 11. Suppose 3*v - 1 = 8, 5*t - 4*v = -22. Let d(z) = -3*z**3 + 34*z**2 - 3*z - 35. Let r(k) = t*d(k) - 7*m(k). What is r(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.255843 millilitres in litres?\nAnswer: 0.000255843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -1\/100 (b) -2\/7 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the first derivative of -l**4\/20 + 47*l**3\/3 - 467*l**2\/10 + 233*l\/5 + 17. What is w in j(w) = 0?\nAnswer: 1, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Multiply 0.41 and 12.69733.\nAnswer: 5.2059053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (22\/33)\/((-3)\/(9\/2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 694 = -6*n + 1258. Calculate the remainder when n is divided by ((-126)\/2 + 1)*10\/(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4963, -4964, -4965, -4966, -4967, -4968?\nAnswer: -4969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -56672 by 4048.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 617428 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1310*t**3 - 2077*t - 16 + 54 - 38 - 2486*t wrt t?\nAnswer: 7860*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2\/497 + 5447\/4970. Calculate the common denominator of r and 133\/234.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -1.5 (b) -0.3 (c) 4\/5 (d) 1\/9 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -133 - 2*t - 6 + 95 + 44.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor z**5 - 64*z**4 - 642*z**3 - 1120*z**2 + 1825*z.\nAnswer: z*(z - 73)*(z - 1)*(z + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -1018910.4 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = 24944 - 24950. Put -3, 2, 0, d, 1 in decreasing order.\nAnswer: 2, 1, 0, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 21875 and 1985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, n: 2, q: 1, o: 1}. Give prob of sequence ww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -2*s**2 + 28749*s. Let l(c) = -8*c**2. Give u(l(f)).\nAnswer: -128*f**4 - 229992*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) be the first derivative of g**4\/4 + 4*g**3\/3 - 4*g + 7. Give q(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + (-2 - (5 + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0, 0.9, -3\/5, 68, 0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2997 - 2889. What is the greatest common factor of 156 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4220*a**2 - 3204*a**2 + 1827*a**2.\nAnswer: -5597*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2109, -4319, -6527, -8733, -10937, -13139, -15339?\nAnswer: -17537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -3*s**3 + 247*s**2 - 101*s - 128. Let p be l(82). Let f(z) = -14*z**2 - z - 4. Let n be f(-4). Let x = p + n. Round x to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 11*d - 6. Determine p(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -230330*x + 5297623. Determine n(23).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.01, -5, 2, 1\/8, -4 in ascending order.\nAnswer: -5, -4, -0.01, 1\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 2, v: 3, m: 1, a: 6, d: 5, k: 3}. What is prob of picking 1 v, 1 a, and 2 k?\nAnswer: 18\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = l + 12. Let m be g(-7). Suppose -2*c + z + 2*z + 89 = 0, -216 = -m*c + z. List the prime factors of c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -239*b*w - 701*b - 2*w + 2 with respect to w.\nAnswer: -239*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -z. Let n(r) = -r**2 + 4*r + 1. Let l(k) = -k - 13. Let v(t) = t - 6. Let q be v(-3). Let d be l(q). Give d*j(x) - n(x).\nAnswer: x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 5, g: 14}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 39000*k + 156034. Determine x(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.07 in 1\/2, -11, 1\/4, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4\/8*(-46 + 0). Suppose 0 = -27*b + 23*b + 112. Let z = b + j. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 + 8. Let p be t - (1 + 2 + -3). Suppose -3*v + p*v = 88. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1384 + 1439. Suppose -85*n + 88*n = f. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 4, h: 6, s: 9}. What is prob of picking 2 s?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*m + m - 48. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 65407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 7, p: 4}. Give prob of picking 4 p.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a**2 + 48*a + 244. Calculate t(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2017*n - 1094*n + 3103*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 21201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 543 by 1.\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 512.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*c = -3796 + 3772 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the first derivative of h**2\/2 + 4*h - 9. Let x be b(11). Suppose -4*d = d - x. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 32\/5931 and -38\/1977?\nAnswer: 5931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*b - b + b + (b - 4 + 4)*(-4 + 2 + 0) - 4*b - b + 3*b + 6 - 6 + 2*b)*(1 - 1 + 5*b).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 814775660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*h + 685 = 11*h - a, 0 = 3*h - 2*a - 418. Let r = 139 - h. Solve 0 = 4*p + 2*q + 2, p - r*q = -3*p - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 9, j: 3}. What is prob of picking 2 w?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -11*b + 4*b - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 32, 17, 338 in increasing order.\nAnswer: 5, 17, 32, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from {t: 4, b: 8, x: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 2 = 8. Let f be (6\/(-5)*3)\/(93\/(-310)). Suppose d*k - 6*k = -f. Calculate the smallest common multiple of k and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -w**2 + 136*w - 4624.\nAnswer: -(w - 68)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in 0.4, 0, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-569)\/1)\/(2 - 1). Let w = -392 - g. Find the common denominator of 23\/9 and w\/18 - 6\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 290 and -1.\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -97 + 101. What is the third derivative of -53*w + w**2 + 7127*w**5 - 4*w**v + 5*w**4 - 7078*w**5 wrt w?\nAnswer: 2940*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zpmezzzez. Give prob of sequence mep.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z - 11 = -8*z + 4*m, -5*z - 25 = 5*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -4 (b) -7\/4 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 324*s**2 + 327*s**2 + 68*s**5 - 571*s**2 wrt s.\nAnswer: 4080*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.68 + 0.06. Let v = 0.26 + n. Which is the smallest value? (a) -0.1 (b) v (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6 + -4.5. Let l = h + -1. Let q = 6 + -11. Which is the second smallest value? (a) l (b) 2\/9 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -2*z. Let y be s(-1). Suppose 0*j + 104 = y*j. What is j rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (2\/4)\/((-2)\/4). Suppose -4*t - 99 = -27. Let r be t\/10 - 1*-2. Which is smaller: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 1576 (b) -318 (c) -3\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 526427 and 3971?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j\/j**(-2\/9))*j**1\/j)\/(j\/j**1)**(3\/19)*(j\/j**8*j**(-2\/3))**(-4\/25) assuming j is positive.\nAnswer: j**(226\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the first derivative of -4*t**3\/15 + 2*t**2 - 16*t\/5 + 58. Factor f(d).\nAnswer: -4*(d - 4)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 230 divide 151310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 6098 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 0, 10, 16, 6, -32?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 27.4 - 29. Which is the closest to l? (a) 0.4 (b) 0.1 (c) 2\/17 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -32, 0.13, 0.94?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (1022\/(-22338))\/(126\/108)\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*g = -1095 + 1015 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 68 a factor of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 26 and 9?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r = 9*y - 6*y - 5, -4*r + 4 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3783 + 359382\/95. Calculate the common denominator of p and -16\/11.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4212 and 8384454.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1084841 is divided by 195.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - k)*(-1 + 4 - 5) + 0*k + 2*k - 1 + 0*k.\nAnswer: 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 10101000011011 (base 2) to base 6.\nAnswer: 121523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 233 + -121273?\nAnswer: -121040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1486.\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-1)\/(l**(-1\/2)\/l))\/(((l\/((l\/(l*(((l\/l**4)\/l*l)\/l)\/l))\/l*l*l*l))\/l*l)\/l)**(6\/7) assuming l is positive.\nAnswer: l**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**2. Suppose -5*q + 3*z - 2 = -18, 3*q + 3*z = 0. Let h(y) = y + 1. Determine q*g(x) - h(x).\nAnswer: -2*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9981*i - 10038*i + 23020*i)*(-4*i - 2*i + 5*i).\nAnswer: -3001*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 821892720 divided by -6.\nAnswer: -136982120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.2 from -8341.\nAnswer: -8341.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 4 + 2)*(2*h - 3*h**2 - 2*h) + (3*h**2 - h**2 + 0*h**2 + (0*h + 3*h - 4*h)*(3 + h - 3))*(-3 - 3 + 5).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*c - 7 - 5. Let x = c - -2. Calculate the remainder when 27 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/(-2 + 15\/7). Suppose -2*m + q + u = 0, m = 4*m - 5*q. Suppose i - 20 = m*i. Put 0, -3, i in increasing order.\nAnswer: i, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -14 + 15. Let t be (-1)\/(2\/4*o). Is t + 3 - (-334 - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = -6 - 2. Suppose 3*p = q + q - 165, 3*q + h*p = 254. 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: Simplify ((sqrt(78) - -5*sqrt(78)*1 - (sqrt(78) - 1*sqrt(78)*6))\/((-3*sqrt(168)\/sqrt(4))\/(sqrt(7) + -3*(sqrt(7) + 1*sqrt(7)))))**2.\nAnswer: 39325\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1624*u + 4877*u - 3809*u**3 - 1625*u + 3737*u**3 - 1626*u.\nAnswer: -72*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r - r = 0. Let u(h) = h**3 + h. Let t be u(r). Let p(k) = k**2 - k + 91. Is p(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -16918, -16916, -16904, -16876, -16826?\nAnswer: -16748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -a**2. Let g(o) = -16519*o. Calculate q(g(l)).\nAnswer: -272877361*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -5*v**3 + 10*v**2 + 10*v - 2. Let k(n) = n**3 - n**2 - 2*n. Let r(m) = b(m) + 6*k(m). Let h be (-5)\/(-15)*(-3 + 0) + 3. Calculate r(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 3\/3844456 and 133\/13730200?\nAnswer: 96111400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 54.837*-7427\nAnswer: -407274.399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 2*m**2 + 3*m + 3. Let f be i(-3). Calculate the highest common factor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-2 - -1) + 0)*-2. Suppose 5*v + 3*t + 10 = 31, 27 = b*v - 5*t. Let z(c) = -2*c + 6 - v. Let g(x) = -4*x. Calculate z(g(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -9 in -4, 0.8, 614?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -93629214 divided by -6687801.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -9*x + 14. Suppose 5*v = 10*v + 30. What is the tens digit of g(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 29 = -2*z. What is the remainder when z is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 60673759 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h + 0 = -5*i - 56, -3*i - 719813*h - 26 - 22 = -719809*h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 423b559 + 14?\nAnswer: 423b570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 1 - 2)*(2*c + 89 - 89) + 162*c + 235*c - 27*c - 38*c to the form m*c + g and give m.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 6*s. Let l(t) = 3*t - 1. Calculate z(l(y)).\nAnswer: 18*y - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/(z\/((z\/(z\/z**(-3\/4)))\/z)))\/z**(-1\/2))\/(z**(-2\/3)\/z)**(2\/43)*(z**4*z\/((z**(1\/6)*z)\/z))**46 assuming z is positive.\nAnswer: z**(114119\/516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46 - 12 = 3*a + 5*h, -4*a = -3*h + 3. Suppose -x + 2 = -a. Suppose 9*i = 4*i + 25. Solve -x = i*y + 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 25*t**2. Let z(d) = -5*d + 3. Let l(s) = -s + 1. Let c(r) = 3*l(r) - z(r). Give c(x(u)).\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -2 + 9. Suppose -600 = 4*g - f*g. Round g to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the third derivative of -i**4\/24 - 2*i**2. Let s(j) = j. What is b(s(r))?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6296955 divided by 2098985.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 11\/40 and -115\/6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*k - 2*b = 2*k - 8479728, -5*k = -b + 10599660. Let a = k + -790068. Round a to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 43289384 - 16?\nAnswer: 43289368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 682 minutes after 12:06 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*y**2 - 3*y**2 - y**2)*(-2 - 2*y + 2)*(-23*y - 40*y + 88*y) to the form s + m*y**2 + f*y**3 + l*y**4 + o*y and give l.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 49360?\nAnswer: 2, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 + (-7 - (16 - (10 + 2))) + 40.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 6*g. Let d(w) = 49*w. Give m(d(x)).\nAnswer: 294*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g - 87 = g - 22, 46 + 380 = 2*c - 4*c - 32*g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 254 minutes after 9:04 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Multiply -16481 and 0.139.\nAnswer: -2290.859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -16, -43, -96, -187, -328?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4639?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add 3.22 and 382.\nAnswer: 385.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.1061 (b) -3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*q**2 - q**2 - q**2 + (1 + 2*q - 1)*(q + 0 + 0))*(7 - 5*q - 7)*(0 + 0 - q).\nAnswer: 20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1001 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 20122 = -2*g, -5*c + 3 = -2. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*b + 16*b. Suppose -9*i - 11 - 16 = b. Let c(k) be the second derivative of k**4\/6 + k**3\/6 - k**2 - 4*k. Calculate c(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*y - y + 206 + 202.\nAnswer: -y + 408","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-15\/8)*u*((u*u\/u**(-1\/32))\/u)\/u*u*u*u assuming u is positive.\nAnswer: u**(69\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 333 + -100?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 55 - 60. Let d = h + 10. Suppose -36\/7*n**4 + 0*n - 108\/7*n**2 + 4\/7*n**d + 108\/7*n**3 + 0 = 0. Calculate n.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 3*p**2 + 2*p - 7. Calculate the remainder when w(-3) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 14*d - 15*d - 88. Let x = d - -93. Suppose -x*z + 104 = -z. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 42 = -1842*n + 1840*n + 2*d, -n - d + 19 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.29, 3\/4, 0.07, 2.\nAnswer: 0.07, 0.29, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Product of 764 and -44.0895.\nAnswer: -33684.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-905)\/(-30) - -2) + 2\/(-12). Suppose -n = -3*y + 4. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*((-1)\/8)\/((-159706)\/27184).\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 8) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:55 PM and 3:22 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 3*q**3 - 1852*q + 34. Let x(p) = -p**3 + 617*p - 12. Determine -6*b(n) - 17*x(n).\nAnswer: -n**3 + 623*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2454047027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 307334 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o be (6 - 1) + (11 - 2). Solve 3*r + 2 = o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 808307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 8*f**2 - 963*f - 3630. What is c(124)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c\/(c\/(c\/c**(-1\/8))))\/(c*((c*c**(1\/9))\/c)\/c))**15 assuming c is positive.\nAnswer: c**(725\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i - 3 = -21. Find the second derivative of 184*n + 7*n**i - n**3 - 223*n wrt n.\nAnswer: 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*l - 106 - 91 - 4*l + 158 + 24.\nAnswer: -2*l - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 23541 and 18753.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -8*w + 6. Calculate j(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 366 a factor of 160610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:09 PM and 2:00 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 - 16 = -6*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-105 - -3))\/(34\/(-136)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 24*o**2 - 354*o + 354*o - 1 in the form p*o**2 + t*o + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -3*s - 17*s + 35*s as a*s + l and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -38*b**3 + 132*b**2 + 36*b. Let k(o) = 13*o**3 - 44*o**2 - 12*o. Let z be -2 + -2 + -6 + 0 + 0. Let l(j) = z*k(j) - 3*r(j). Factor l(c).\nAnswer: -4*c*(c - 3)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -14803 + 14805. Solve -n*l - 5*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -i**2 + 29*i + 109. Let h be g(32). Solve -3 - h = 8*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -3316 - 2?\nAnswer: -3318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*p**2 - 5*p - p**2 + 0*p**2 wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2957 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 8389543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 27203 and 284395?\nAnswer: 3128345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (24\/(-432))\/(1\/4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 8.7 - 0.4. Let v = a - 8.3. What is the nearest to v in -0.05, 0, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*c**6 - 25*c**5 - 164*c**2?\nAnswer: 240*c**3 - 1500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -6574*l - 39445. Let p be f(-6). Suppose x = 4*x + 6. Put -4, p, 8, x in decreasing order.\nAnswer: 8, p, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1135773839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 8 - 8 = 0. Let w = r + 11. Suppose -3*h = 5*f - 66, 2*h = w*f - 8*f + 44. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (6 - 11) + 0 + -3 - (27 - 14)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (3028\/2)\/((-30)\/(-135)).\nAnswer: 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vooovvooooovoovvooo. What is prob of picking 2 o?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -62, -81, -98, -119, -150, -197, -266?\n\"Answer: -g**3 + 7*g**2 - 33*g - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 79 = m, -3*m - 9 = 3. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14129*a = -14200*a + 28511*a + 20748 for a.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (b - 5*b + 0*b)*(-1 - 1 + 0)*(38*b**3 - 148*b**2 + 148*b**2).\nAnswer: 304*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 230229 is divided by 5519?\nAnswer: 3950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 558565.52 to the nearest one thousand.\nAnswer: 559000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6203\/12 + 517. Let h(j) be the first derivative of 0*j - o*j**3 + 4 - 1\/8*j**2. Factor h(c).\nAnswer: -c*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10052336667 + -1450099825905398\/144255. Let o = b + -4\/885. Let x = -10894\/489 + o. What is the common denominator of x and -51\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 7*i**2 + 5*i - 6. Suppose -28*n + 130 = 56 - 66. Let t(d) = 2*d - 30. Let g be t(14). Let q(p) = 3*p**2 + 2*p - 3. Give g*a(m) + n*q(m).\nAnswer: m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-57)\/(-36) - 2\/8. Let m = -19 - -14. What is the third smallest value in -2, m, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -r**2 + r**2 - 2*r**2 + (27 + 37*r - 27)*(3*r - 2*r + r) + 3*r**2 - 4*r**2 - r**2.\nAnswer: 70*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.120587 times -13?\nAnswer: -1.567631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put together 1397539435 and 4.\nAnswer: 1397539439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 83050679773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*t**2 - 21 + 22 - 2*t**2)*(13 + 11 - 4) to the form l*t + s + q*t**2 and give q.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 0 - 135?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 43 divided by -27?\nAnswer: -43\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the third derivative of s**4\/24 + 4*s**2. Let p(u) = -2*u. Let f(h) = 3*p(h) + 4*x(h). Let g(n) = -2*n. What is g(f(m))?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -1423 (base 11) in base 12?\nAnswer: -1094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -46832740 or -46832732?\nAnswer: -46832740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/18 + 78\/(-36).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = o. Suppose o = -4*q + 7*q. Suppose 3*x - 3 + 0 = q. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) be the second derivative of s**4\/4 + s**3\/6 - 5*s**2 - 5*s + 1. Is c(9) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7948866.\nAnswer: 2, 3, 167, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/448, -0.2, -0.8, 1\/2 in decreasing order.\nAnswer: 1\/2, 1\/448, -0.2, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 225\/6*(-136)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8*(-6)\/36*5\/(-60)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) -11 (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 353*z + 163394 = 367*z. What are the prime factors of z?\nAnswer: 11, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -118 = -2*m - 3*n, 2*m - 3*n - 26 = 104. What is the remainder when 109 is divided by (-18 - -12) + (m - -1)\/1?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -74, -119, -200, -323, -494, -719, -1004?\nAnswer: -1355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(192)*-6)\/(sqrt(726)*2 - sqrt(6)) + -4.\nAnswer: -4 - 8*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 11584648 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 47843599.\nAnswer: 101, 641, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -35229.25 rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3369 is divided by 548.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-5*(-24)\/28)\/(-2). What is the second smallest value in j, -2.9, -5?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 42*p + 1. Let l be u(1). Suppose l = m - 2. Suppose -4*k = -k - m. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 2*i**3 - 5*i**2 + 4*i - 2. Let r(l) = 2*l**2 + 1. Let a = 3 + -4. Let h be r(a). Is c(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z - 5*z + 5 = c, 5*c + 4*z = 4. Suppose 5*d - 6 = 4. Suppose -m = -2*r + m, 5*r - d*m - 9 = 0. Is c less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 461945604.\nAnswer: 2, 3, 38495467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 83 = -3*n, h + 2*n - 4*n - 29 = 0. Let d = 86 - h. Let s(t) = t**2 - 5*t - 18. Let q be s(-4). Calculate the highest common divisor of d and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1 - 2\/4)*4. What is the common denominator of 4\/((-8)\/(-41)) - (-4)\/n and -23\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 27 - 0. Suppose 0 = 5*y + 2*m - 10 - a, -4*m - 25 = -y. Solve 3*i + 0*i = y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-10) - (26\/(-10) + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 5060550 divided by 10\nAnswer: 506055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 17898, 35413, 52958, 70533?\n\"Answer: 15*o**2 + 17470*o + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 15 - 15. Suppose -3*d + y = -26, u*y - 10 = 2*y. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = 5*d + 85, q + 2*q - 65 = -4*d. Find the second derivative of -q*s - 11*s**3 + 9*s**3 - 16*s**3 wrt s.\nAnswer: -108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -1401379232 and -5.\nAnswer: -1401379237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-4)\/(-9) + (-79)\/9 and 215\/100 + (0 - 1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -13*t + 47. Let z(d) = 2*d - 8. Let m(c) = -1. Let i(w) = t*m(w) - z(w). What is i(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3 + 13. Let l = -9 + k. What is the nearest to 0 in l, -1\/5, 6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -4087*m + 1854. Let t(o) = -4117*o + 1853. Let h(z) = 3*a(z) - 4*t(z). Differentiate h(g) wrt g.\nAnswer: 4207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-255495)\/(-45) + -2 - (-2)\/(-3) - 6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z - 31 + 41 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 57*a - 12*a - 3864 = -52*a - 64*a for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1 + 3 + (-3 - -2). Let c = 16 + -5. What is the remainder when -2 + 3 - (-19 - l) is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3\/4)\/(2\/(-8)). Let s be (2\/z)\/(14\/(-273)). Suppose -s = -p + 17. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 - b + 2 + (-3*b - b + 3*b)*(-2 + 0 + 0) + 28*b + 16*b + 15*b.\nAnswer: 60*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1 + 0 + 4869\/1292. Let m = y - 6\/323. Calculate the common denominator of (-2)\/3*(-13671)\/(-3234) and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 6390\/(-1704)*(-16)\/(-3)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000509716211 to 6 decimal places.\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = x. Let r(j) = -7*j. Let q(v) = -r(v) + 2*s(v). Determine q(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y - 3. Let i be x(3). Let f be -1*((i - 1) + 1). Suppose -q - q = f. Which is the third biggest value? (a) -1 (b) q (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 527923679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.23? (a) 0.016 (b) 0 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4 + 102a30a1?\nAnswer: 102a3099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -214933974.5 to the nearest ten thousand.\nAnswer: -214930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 7, g: 1, a: 2, v: 2, b: 1, h: 1}. Give prob of sequence vhg.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 45948.6l?\nAnswer: 45948600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 6*k - 6. Let d be 12\/18 - 7\/(-3). Suppose -o - d + 5 = 0. Let w be r(o). Solve 5*z + 4 = -w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/13 < -0.14669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2334*l - 101610 = -2352*l. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 136, -0.3, 4, -1, -0.11?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 7, 4, -4382, -3 in increasing order.\nAnswer: -4382, -3, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 15*t**2*x**2*y - 12*t**2*y**3 + 3*t*x**2*y**3 - 4*t*x**2*y**2 + 34*y**3 wrt t?\nAnswer: 30*x**2*y - 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 103527546 (base 8) to base 6.\nAnswer: 1432115514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffffsfsf. What is prob of picking 2 f?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 69906853?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add together -63.25885453 and -0.29.\nAnswer: -63.54885453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Let o = 952 - 952.5. What is the smallest value in 1, o, -2.472?\nAnswer: -2.472","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y**3\/3 - 13*y**2\/3 + 14*y\/3 = 0. Calculate y.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert -1772424 (base 10) to base 16.\nAnswer: -1b0b88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 17 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -55 + 80. Solve k = 6*v - v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -277972*c + 1779438 wrt c.\nAnswer: -277972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be (3\/((-27)\/(-12)))\/((-6)\/(-45)). Suppose -4*k - 5*f + 3370 = 0, -4*k + 5*f = -6*k + 1690. Suppose 0*d = -w*d + k. Round d to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 39 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -i**3 - 8*i**2 + 11*i + 1. Calculate h(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 20 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*r - 2645 = -35*r + d, -5*r - 5*d + 13195 = 0. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28533 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes before 8:02 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = j**3 + 5*j**2 + 3*j - 5. Let h be z(-4). Let p(u) = u + 2. Calculate p(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15\/47 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1194816 and 1078?\nAnswer: 13142976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3\/(-6)*10 + -12529. Let x = g - -29681. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -2*-2*(-18)\/8. Let g = -9 - y. Suppose 4*o = -g*o + 16. Which is smaller: o or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 3*m**2 - 12*m - 12. Let t be n(5). Differentiate 57*h - 57*h - 20*h**t + 20 with respect to h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000015445303 rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*a*g + 84*a*r**2 - 2*g*r + 34*g + 6*r**2 wrt a.\nAnswer: -3*g + 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -11*p + 8. Let y(w) = 133*w - 98. Let z(q) = 49*r(q) + 4*y(q). Let v(f) = 7*f. What is z(v(c))?\nAnswer: -49*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 7291097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = 2*n - 54. Suppose 3*q = n + 6. What is the lowest common multiple of 6 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(2\/21)*p*p\/(p\/p**10))**41*p**(2\/9)\/(p\/p**(-1\/7))*p**8\/(p*p\/(p\/(p\/(p*p*p*p*p**(-4\/11)\/p*p)))*p*p) assuming p is positive.\nAnswer: p**(319903\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-352 + b**2 + 352)*(-6*b + 2*b + 3*b)*(2*b - 99*b - 15*b).\nAnswer: 112*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/3, -20, -24004, 0.16, -0.1.\nAnswer: -24004, -20, -0.1, 0.16, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.011 + -0.188. Let a = 0.031 - j. Round a to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (3*2)\/(2556\/(-5964))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 149270.65 and -0.5?\nAnswer: 149271.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = 2*i - 12. Let c(g) = i - 3*g + 3*g + g. Is c(6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2 smaller than -1.5399533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/571 or 0?\nAnswer: 1\/571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 836 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 2*y**2 + y - 2. Let q(w) = -187*w**2 - w - 6. Give 3*b(h) - q(h).\nAnswer: 193*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 0.6808312 micrometers?\nAnswer: 0.0000006808312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 134 is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ymn when three letters picked without replacement from {m: 7, w: 2, y: 2, k: 4, n: 3}?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10981, 10966, 10925, 10846, 10717, 10526?\nAnswer: 10261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 73 divided by -3456.\nAnswer: -73\/3456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 162*u + 3 + 5*u**2 - 154*u + 2. Let n(d) = 6*d**2 + 9*d + 6. What is -7*k(t) + 6*n(t)?\nAnswer: t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000014255225 to 7 decimal places.\nAnswer: 0.0000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - -47 - (-2200 + 25)\/(-75).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 22\/15 of a decade?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -c113 - 55?\nAnswer: -c168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 78*p - 1 + 1 - 77*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ytvplvyq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 740*b - 16318 - 16242 = 0 for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 = -4*v + 32. Suppose 282 = -v*h + 22*h. Does 24 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 5, -2, -0.3, 0.6 in increasing order.\nAnswer: -4, -2, -0.3, 0.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-46)\/(-10))\/(2\/10). Suppose -3*p + t = 2. Suppose -p - 40 = -4*z - 3*g, g - 25 = -2*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -2*g - 5. Let a(d) = -58 + 3*d + 64 + 0*d. Suppose 4*i - 20 = 8*i. Give i*a(h) - 6*v(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4.1 - 0.1. Let w be 2\/5 - 53\/(-5). Let r = w - 8. Sort j, r, -3\/8 in descending order.\nAnswer: j, r, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 128098 - 128102. Suppose 507 = -3*h + 72. Let p = h + 1013\/7. Which is the third smallest value? (a) -0.09 (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(80)\/(2*sqrt(8)))\/(-5*(sqrt(8) - -2*sqrt(8))*5)*-1)**2 + 2.\nAnswer: 36001\/18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((1*sqrt(10))\/sqrt(5) + 4)*4)**2 - (-1*sqrt(2) + 2 + (1 + sqrt(2))*-1)*5.\nAnswer: 138*sqrt(2) + 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 200*u**4 - 3*u**3 - 119*u - 2. Let m(a) = -399*a**4 + 7*a**3 + 238*a + 4. Let b(z) = -3*m(z) - 7*s(z). Find the second derivative of b(p) wrt p.\nAnswer: -2436*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -15 in 93, -3\/7, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, f: 4, w: 2, q: 1}. Give prob of sequence ff.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -11, -33, -65, -107, -159?\n\"Answer: -5*o**2 - 7*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 10930 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(704) + 0 + (sqrt(704) + 0 - sqrt(704)) - (3 + 1*sqrt(704)) - (4 + sqrt(275) + 1 + sqrt(275) + -5))**2.\nAnswer: 60*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.13751 to 3 dps.\nAnswer: 0.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 68 and 833?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 41, -2543, -9553, -23203, -45707, -79279, -126133, -188483?\n\"Answer: -369*b**3 + b**2 - 4*b + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -8805125?\nAnswer: 1\/1761025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -768*y + 60 = -765*y. What is the least common multiple of y and 420?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 21556.9661 - 21557. Which is greater: -0.02 or m?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a + 6 = 4*s, -2*a - 62 = 1634*s - 1647*s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1248064?\nAnswer: 2, 19501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4496765*-2.\nAnswer: 8993530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o**3 - 57. Let l(t) = 2*t**3 - t**2 - 3*t - 1. Let c(r) = -11*r**3 + 4*r**2 + 12*r - 109. Let x(n) = -c(n) - 4*l(n). Determine 7*h(w) + 3*x(w).\nAnswer: 2*w**3 - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -5*h**2 - 4*h + 4. Let o(f) be the second derivative of -f**4\/3 - f**3\/2 + 3*f**2\/2 + 2*f. Let u = 15 + -18. Determine u*g(n) + 4*o(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:57 AM and 9:45 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = -67.2 + 67. What is the closest to 3\/11 in -2, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 65.3 + -56. Let i = d + -8.8. What is the closest to 1 in 1\/5, -0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 667719152?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in thirty-three fifths of a kilometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 2*q**3 - 134*q**2 - 32*q + 406. Does 93 divide r(69)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(1323) - sqrt(1323))\/sqrt(9) + sqrt(243) + sqrt(36)\/sqrt(3))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*s + t - 9925, 2*t + 4647 = -4*s + 17885. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 30514 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 2770366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 228 = 2*i + 2*i. Suppose o - 17 - i = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.01928 and 0.06.\nAnswer: 0.04072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 364*f**2 - 1788*f**2 + 346*f**2 + 358*f**2 + 360*f**2 + 356*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 71\/21 and 151\/630?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**31*r*r*((r*r*r**(-26)*r)\/r)\/r*r)\/((r*(r\/r**24)\/r*r)\/((((r**(-6)*r*r)\/r)\/r)\/r*r)) assuming r is positive.\nAnswer: r**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 15289708271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 29\/240 and 187\/37320?\nAnswer: 74640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -398, 131, 5, -3 in descending order.\nAnswer: 131, 5, -3, -398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -273 (b) -2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 3\/2, -18.511, -78.\nAnswer: -78, -18.511, 0.1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*d - 7*d + 5*a = 20, -4*d - 2*a = -26 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 133 and -0.016?\nAnswer: -2.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 + 22 + -8 + (-6 - -11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s + 113 = s - 4*z, -5*s - 2*z = -543. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-30)\/70 + 14\/7 + 499\/(-322)?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -460*j**2\/7 - 502862*j\/7 - 89626\/7 = 0 for j.\nAnswer: -1093, -41\/230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-34400)\/(((-6)\/(-24))\/(3\/(-12))). What is x rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3288\/(0 + (25\/(-10) - -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 70673.\nAnswer: 29, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2165 in -26, 2\/19, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that -3*c**3 - 111*c**2 + 231*c - 117 = 0.\nAnswer: -39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - (-1)\/(4\/(-14))*(18 + (-12444)\/357).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 2*n + 48. Let k be u(-26). What are the prime factors of (k - (-68)\/16)*584?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -264209 and -264209 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find k such that 2\/7*k**2 + 2\/7 - 4\/7*k = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*w - 315 = -9*w. Let k be (-396)\/w - 8\/10. Suppose 12*c - 288 = k*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -99 - -46. What is the units digit of k\/(-5) + 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3993 divide 436275180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*((-11)\/33)\/(10\/(-9))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 < -33\/154273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 1083 - 37893 = 6135*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put together 944289201516 and -44.\nAnswer: 944289201472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 14*p**2 - 82*p + 12 - 4 - 4422*p**3 - 2158*p**3 - 15*p**2 wrt p.\nAnswer: -39480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 3*z**2. Let c(a) = 7*a**2. Give c(h(o)).\nAnswer: 63*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the second derivative of m**6\/360 + 5*m**4\/6 + 4*m**3\/3 - 27*m. Let u(n) be the second derivative of l(n). What is the derivative of u(b) wrt b?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (8 - 816\/104) + 100\/26. Suppose -5*g + 3276 = -k*c, 2*c = 2*g - 789 - 523. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1101011001000111 (base 2) to base 14.\nAnswer: -15dc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -85 or -7352?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 529 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12 + 18 + 12 + -24 + 13.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -6*c**2 + 14*c - 14. Suppose -6*v - 32 - 10 = 0. Let i(l) = -2*l**2 + 4*l - 4. Let d(y) = v*i(y) + 2*a(y). Let j(n) = 2*n**2. What is j(d(w))?\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and 33\/833 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17378192 is divided by 2172.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.25556 + -0.04444. Suppose -5*s + 0*s - 10 = 0. Which is the closest to s? (a) 5 (b) w (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 16*a - 12. Let l be j(5). Calculate the highest common factor of l and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g**3 + 1380*g**2 - 2769*g + 1386 = 0. Calculate g.\nAnswer: -462, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the third derivative of -k**6\/120 - k**3\/2 + 8*k**2. Let l be w(-3). Calculate the highest common factor of 16 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5006, -7398, -9790, -12182, -14574?\nAnswer: -16966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (3 + 2 - 2)*(-j + 4*j - j - j - j + 0*j + (0 + 1 - 3)*(-1 - 2*j + 1) + 3 - 3 - j - j + 0*j + 0*j) + 26 - 26 + 8*j in the form s*j + r and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/t**(-8))\/t*(t\/t**(-1\/8))\/t)**(-2\/29)*(t*t\/((t*t*t*t**(-6)\/t*t)\/t))\/t**8*(t*t**(-3))\/t**(2\/13) assuming t is positive.\nAnswer: t**(-7109\/1508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that c**2 + 51049*c + 51048 = 0.\nAnswer: -51048, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b**3 + 6*b**2 + 3*b - 8. Let n be o(-4). Suppose n*h - 70 = 7*h. Calculate the remainder when 53 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o**3. Let a(c) = 6*c**3 - 2*c**2 - c. Calculate -a(x) - 3*k(x).\nAnswer: -3*x**3 + 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 14*d**6 + 5*d**4 + 12*d**2 + 1?\nAnswer: 1680*d**3 + 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 63\/15760 and -117\/280.\nAnswer: 110320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 2*l**2 - 2*l. Let g be f(2). What is the lowest common multiple of 6 and 1\/1 - (g\/(-2))\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-3)\/(z**(-5\/4)*z))\/((z*(z*z**(1\/6))\/z)\/z**3) assuming z is positive.\nAnswer: z**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 7129746*z - 762. Let f be o(-3). Round f to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 702 minutes before 8:10 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45931 = 10*m - 270166 + 6375. What are the prime factors of m?\nAnswer: 2, 3, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1094 + -780. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5621 + -5620.956. What is the closest to 1 in 2\/9, -18, 0.1, p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(800) - sqrt(800))*-5 + sqrt(800) + sqrt(800) + 1*1*sqrt(800))\/((sqrt(324)\/(sqrt(27)\/sqrt(3)))\/(sqrt(18)\/(sqrt(2) - (-1*sqrt(2) - sqrt(2))))).\nAnswer: 130*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -19 in 3\/5, -5, -3231.7, 19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 + -7.01?\nAnswer: -7.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 3*q + 4*p + 21, -4*p = q + 3. Let w = 9 + -9. Which is the nearest to -8? (a) -0.4 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.26152 rounded to 3 decimal places?\nAnswer: -1.262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 15, 56, 91, 114, 119, 100, 51?\n\"Answer: -z**3 + 3*z**2 + 39*z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from fllf.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36*r + 32*r - 36 = 0. Put 2, r, -5, 4, -3 in ascending order.\nAnswer: r, -5, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 821 + -152262?\nAnswer: -151441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w be (49\/10 - 2\/(-4)) + 1094\/(-2735). Let s(z) be the second derivative of -1\/10*z**w + z**4 + 0 - 10*z**2 - 43*z - z**3. Factor s(l).\nAnswer: -2*(l - 5)*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.02578 * 122.1.\nAnswer: -3.147738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 2832 = 746*r - 864*r for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 20178, 20163, 20124, 20049, 19926, 19743, 19488, 19149?\n\"Answer: -2*o**3 - o + 20181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 29.11, -10, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 16.2? (a) 2\/21 (b) -2\/9 (c) 3 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = -2*k + 3*k + 13, 5*k = 4*d - 2. Suppose v - k = 0, -4*v + 7*v = -4*i + 134. Calculate the greatest common factor of i and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 11240413 or 11240441?\nAnswer: 11240413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -17*g - 1. Suppose -18*n + 12 = -6*n. What is a(n)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t**4\/7 - 4792*t**3\/7 + 5343042*t**2\/7 + 970239600*t\/7 - 422668125 = 0. What is t?\nAnswer: -161, 3, 2475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-17146)\/6*(-2 + 8). Let i = -343017\/20 - g. What is the common denominator of -31\/22 and i?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 73, 142, 211?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 6*m - 2. Let j be i(1). Suppose -d - 8 = 2*d + j*q, 0 = -4*d + q + 21. Suppose 4*c = 2*c + 3*t + 54, d*t = -c + 27. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3336 divided by 5514?\nAnswer: -556\/919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the second derivative of 1\/3*s**3 + 0 + 5\/2*s**2 - 2*s. Let g(x) = -2*x - 4. Let v(p) = -5*g(p) - 4*t(p). Let o(m) = -4*m. Calculate o(v(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -a - 6. Let d(u) = -u - 11. Let l(r) = 3*d(r) - 5*h(r). List the prime factors of l(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c\/(c**(-3)*c))*c*(c**(-2\/15)\/c)\/c)\/((c\/((c*((((c*c\/(c*c*c**(-3\/4)))\/c)\/c)\/c)\/c)\/c))\/(c\/((c*c**(-2)\/c*c)\/c)*c)))**(-2\/25) assuming c is positive.\nAnswer: c**(203\/750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2533706 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 -81*(-117)\/94770*1\/(2\/(-260))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m**3\/8 + 57*m**2 + 2553*m\/2 - 1058 = 0. Calculate m.\nAnswer: -46, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5597 is divided by 175.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 270432566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4 - 528?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3 - -6. Suppose 4*f + f - r = 145, -105 = -4*f + t*r. What is the remainder when f is divided by (-119)\/(-14) + 1\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the first derivative of 3787*l**6\/3 + 4107*l**2\/2 - 2198. Find the second derivative of o(t) wrt t.\nAnswer: 151480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.100982 - 1.401428. Let p = -1.1704 - h. Let y = -0.13 + p. Round y to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 545 + -41447\/76. Calculate the common denominator of -67\/171 and o.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*j = -14*j. Solve -4*y + 6 - 2 = j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -2 (b) 2 (c) -30 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-9)\/(v**(3\/10)*v) assuming v is positive.\nAnswer: v**(-103\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 201*h**3*j + 18*h**3 + 826*h**2 + 134*j**2 wrt j.\nAnswer: 201*h**3 + 268*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 2 c when three letters picked without replacement from {t: 1, e: 1, c: 3, b: 3, n: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -35 - -1c442?\nAnswer: 1c40b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/13? (a) 0 (b) -2\/21 (c) -0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 18935 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 68*s = 65*s + 24. Calculate the highest common divisor of 136 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the first derivative of -2*j**4\/9 - 10*j**3\/9 - 4*j**2\/3 + 8*j\/9 + 51. Factor y(r).\nAnswer: -2*(r + 2)**2*(4*r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find q such that 4*q**3 + 25148*q**2 - 5672360*q = 0.\nAnswer: -6505, 0, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2 + -254?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 3982.86263 rounded to the nearest 10?\nAnswer: 3980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = 4*l - 2, 2*w + 3*l = -2*l + 7. Suppose -1 = -3*r + 4*m + 10, 14 = 12*r - m. Let q be (-2 + w\/6)\/(r\/(-3)). Solve -d = q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 140*w**2 + 5*w + 16. Let b(z) = 211*z**2 + 8*z + 30. Calculate 5*b(u) - 8*p(u).\nAnswer: -65*u**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -237 - 30 = -3*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 129061 is divided by 308?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 822 - 822.2. What is the second biggest value in -1\/20, -0.1, -4, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -393*c - 14724 + 110036 = -71*c. Put c, -15, 0, 3 in increasing order.\nAnswer: -15, 0, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 72 is divided by 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4\/(-18) - (-362)\/9. Suppose -3*t + a = 6*a - y, -6 = -3*a. Let s = -5 + t. Solve 0 = 5*q + 2*n + 5, 1 = 5*q - s*n + 41 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (12 - 8 + 8*b - 5*b)*(3*b - 6*b + 2*b)*(-4 + 2 + 4).\nAnswer: -6*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 = -2*a + 4*a. Let p(u) = -u**2 + 11*u + 16. Let r be p(a). Is 13 a factor of (195\/r)\/(1\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t\/(t\/t**1))\/(t**(-39)*t))**16)**(-1\/8) assuming t is positive.\nAnswer: t**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -307238, 0.13, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 531.491102 to zero decimal places.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -16171293*r**2 + 31298630 with respect to r.\nAnswer: -32342586*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.03 * -4.079.\nAnswer: -0.12237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 11260*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iiy when three letters picked without replacement from ttoiity?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -1, -147, 511?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -14\/305 and -31\/35.\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 200 a factor of 76600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -1221 = 1871*m - 1908*m for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -22\/5255 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 356*l**5\/5 - 99672*l**4\/5 - 4643*l**3\/5 + 675189*l**2\/5 - 657666*l\/5 - 3024 = 0 for l.\nAnswer: -3, -2\/89, 3\/2, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -7\/46057 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 7*f + 12. What is the units digit of a(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 265 and 25052994?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -w**3 + 4*w**2 + w + 1. Let r = -14 - -18. Let i be o(r). Suppose 5*c + i*d + 13 + 2 = 0, -5*c + 3 = -d. Let g(l) = -l**3 + l + 17. Calculate g(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 64506 and 1367.\nAnswer: 88179702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 129*z - 218 - 3007 = 0 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 1.5, 3, -620, -1, 0.4 in decreasing order.\nAnswer: 3, 1.5, 0.4, -1, -620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -221 in 1, 1\/3, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 7 = 5*o, o - 40 = 5*q - o. Let l be -2*(-3)\/q - -5. Suppose -l*r - 3*i = -r - 156, 2*r = 5*i + 111. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -119*h + 67*h = -5*i - 47*h + 65, -2*i + 5*h = -53 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify h\/h**(-3\/2)*h*h*h**(-15) assuming h is positive.\nAnswer: h**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11574, 23091, 34478, 45669, 56598?\nAnswer: 67199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1 - 5. Let h = 14 + -8. Calculate the remainder when 102\/(-4)*l\/9 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.410905t in nanograms?\nAnswer: 410905000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 334182, 334181, 334180, 334179, 334178?\n\"Answer: -a + 334183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -13 (b) 6 (c) -0.1 (d) 1 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be (6\/(-30))\/((-12)\/(-5)). Which is the smallest value? (a) -15 (b) x (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 38801576?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 278622 is divided by 163?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 920 = 164. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*f - 450 = -593. Put -2, f, -8 in descending order.\nAnswer: f, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(26)\/((2*sqrt(20))\/sqrt(10))*-2)**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -516 + 6058*b**3 + 516 - 6060*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by 129292\nAnswer: -1\/64646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 118*n**2 - 28688*n + 3490. Give w(243).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y, 1 v, and 1 o when three letters picked without replacement from ovyyo?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -4\/3, 1\/32, 3, 5, 19\/7?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4343*u**3 - 1317*u**2 + 47500946*u wrt u?\nAnswer: -26058*u - 2634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*r + 7 = -3*d + 2*r + 88, -45*r + 12*r = 21*r + 26*r for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 - 11. What is the second smallest value in s, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10460336 is divided by 42.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(176) + -3 + -4*sqrt(704)*1 + -3.\nAnswer: -28*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = c**3 + 8*c**2 + 8*c + 5. Suppose -4*f = -3*f - 14. What is the remainder when y(-5) is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 1 + sqrt(1008) + -5 + (1 + sqrt(1008) - sqrt(1008)) + -3 + 4*(sqrt(1008) - (sqrt(1008) + -2)).\nAnswer: 4 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -4665, -5, 5, -1 in descending order.\nAnswer: 5, -1, -5, -4665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let -3*f**3 + 39*f**2 - 150*f + 168 = 0. Calculate f.\nAnswer: 2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) be the first derivative of 0*w - 1\/5*w**3 + 2 - 3\/10*w**2. Factor a(t).\nAnswer: -3*t*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -p + 18. Let f be ((-1)\/(-2))\/((-2)\/80). What is the tens digit of m(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from {h: 1, d: 2, u: 4, i: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = -5*b - 3*g + 53, -b - 2*g = -24. Suppose u = 3*l - 4493, 39*u - 4481 = -3*l + b*u. List the prime factors of l.\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 669, 667, 631, 549, 409?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pn when two letters picked without replacement from {u: 1, b: 2, y: 1, n: 2, p: 2, c: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 258019481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Product of -3 and 794116.\nAnswer: -2382348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 732\/241 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 3640550437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -49 times -1\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -63, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 167*f**5*q**2 + 4*f**2*q**2 + 29*f**2 - q wrt f.\nAnswer: 10020*f**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-6)\/30 - 102\/(-10). Differentiate -10*x + s*x + 2 + x**4 wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t + 142*c + 149*c + 15 = 294*c, t - 25 = -5*c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1 and 51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 308164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-3\/4)\/z)**(-37)\/(z*z\/(z**0\/z*z*z)*z)**(-28) assuming z is positive.\nAnswer: z**(483\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 5) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -25*z**2 + 5*z + 228. What is k(-9)?\nAnswer: -1842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7\/180 + 1003\/1980. Let o be 0\/(2\/(2\/(-1))). Factor 2\/11*n**2 + o - y*n.\nAnswer: 2*n*(n - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -105336, -105335, -105334, -105333, -105332?\nAnswer: -105331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be 5\/(5\/(-2)) - 153335. Let v = q + 263337. What is v rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 73214 at most as big as 73213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4, 0.4, -94, -7, 9.56?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -15 (base 13) in base 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 152149 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:19 PM and 7:48 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2064321895?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -14*v + 114. Let p = 61 - 53. Let i be u(p). Solve 0 = -2*a + 3*r + 6, -3*a + i*r - 6*r = 25 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-121)\/(-726)*-1)\/((-1)\/((-9)\/(-5))).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 55 and 6550.\nAnswer: 72050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Add -11 and -9185.\nAnswer: -9196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in 4, -1, -1\/7, 0.303?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 17*o - 2. Determine j(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 6046*b**2 - 2 - b - b**3 - 6043*b**2 + 5. Calculate p(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + (-6)\/(-4)*-2 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i**3 + 104*i**2 - 12884*i - 39480 = 0 for i.\nAnswer: -70, -3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (32\/28 - -9) + 136\/(-168)*-6 + -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 16, 8, -26, -98, -220, -404, -662, -1006?\nAnswer: -1448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -35120, -140441, -315980, -561737?\nAnswer: -877712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-b**3 - 10 - 18 + 16)*(-10 + 5 - 23).\nAnswer: 28*b**3 + 336","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 44048, -376, -1 in decreasing order.\nAnswer: 44048, -1, -376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Do 74 and 71 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -52\/7, -0.2, 0.4, 89735 in ascending order.\nAnswer: -52\/7, -0.2, 0.4, 89735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 21857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of 7323.81 and 98.\nAnswer: 717733.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 29007\/8 + -3635. Let u be (56\/10)\/(6\/(-15)). Calculate the common denominator of p and (14 - 1358\/98) + (-96)\/u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*l + 19 = -11*k, -279*k + 276*k = -l + 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + -2 + (2*(0 + sqrt(2000)*1 + -5))**2.\nAnswer: -800*sqrt(5) + 8095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: ((6 - 1) + -13 - 4) + (-30 - 0 - -34)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r + 2*j + 3*j - 10 = 0, -5*r = 3*j. Let a = -1 - r. Suppose -12 = -3*p - 3*d, -d - 10 = -a*p + 7. What is the remainder when 10 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (39\/78)\/(35\/5)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 + 15 = -l. Suppose l = -3*j - u, 4 = -j - 0*j - 4*u. Solve -3*v + 0*v + 9 = j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -85 - -127. Suppose 6*r - 60 = -m. Solve -3*l + 4*o = -l + 16, -3*o + 12 = -r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 76?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -29211, -58388, -87535, -116664, -145787, -174916, -204063?\nAnswer: -233240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - p + 59 = 0, -50*m + 5*p = -45*m - 265. What is the third biggest value in -1, m, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 596 = 700. Suppose 4*b = -4*r + 432, 0*b + 4*b - 3*r - l = 0. Suppose b = 3*f + 6*f. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 2*v = 208, 0 = 5*v - 2*v - 12. Calculate the remainder when 5 is divided by (-150)\/r + (-2)\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -20665, -41304, -61943, -82582, -103221, -123860?\nAnswer: -144499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-8*(-3)\/12)\/((-18)\/2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -192*j**2 + 720*j - 675 = 0.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -151 (base 6) to base 11\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 10756033577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y + 4*h + 41 = 8, 8*y - 1067 = 3*h - 1054 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 2 + 2*a**3 + (2 - 2 + 2*a**2)*(-82*a - 13*a - 10*a).\nAnswer: -208*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o, 1 x, and 2 b when four letters picked without replacement from {o: 7, x: 2, b: 3}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 4\/5*k**2 - 536 - 516\/5*k.\nAnswer: 4*(k - 134)*(k + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t + 14*l = -8*t - 90, 63 = -3*t - 5*l for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n - 3*r = -5, 24*n - 3*r = 27*n + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 107 at least 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.5? (a) 0.2 (b) -2146\/7 (c) 31\/152\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/5, -0.5, -6, -14, 100, -5 in increasing order.\nAnswer: -14, -6, -5, -0.5, 2\/5, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -10*r**2. Let s(x) = -7*x + 16*x - 6*x. Calculate i(s(y)).\nAnswer: -90*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**1)**(-2\/15)\/(t**0\/(t\/(t\/(t\/t**(-1\/2))))))\/((t*t**(-2))\/t**(-3\/7))**(-3\/23) assuming t is positive.\nAnswer: t**(6241\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*l + 0*l = -1040. Suppose l = 2*w + 4*a, 0 - 1 = -a. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the second derivative of w**4\/12 + 17*w**3\/3 + 21*w**2\/2 + w + 2. Let x be l(-34). Calculate the greatest common divisor of x and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 15786 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -i**2 + 20*i + 2. Let f(v) = 0*v**3 - 19 + 2*v**3 - 25*v**2 + 0*v**3 + 25*v - v**3. Calculate the remainder when x(19) is divided by f(24).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) be the first derivative of -94*t**3\/3 - 26*t**2 - 229. Find the second derivative of d(a) wrt a.\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = -4*l + 214, -18 + 134 = 2*l - 2*r. Suppose 0 = -2*a + 3*a - l. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21876413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c be (134\/4)\/((-3)\/6). Let l = -35 - c. What is the highest common factor of 96 and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 9 - -34. Calculate the remainder when i is divided by (-1 - (-14)\/(-8))*-4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2574.53 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -4293 - 2*v**2 + 4295 + 2*v**2 + v + 58*v**3 in the form r*v + i + o*v**3 + j*v**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from koklelellllelle. What is prob of sequence eklo?\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1202988037 to the nearest integer?\nAnswer: 34684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-1)\/((-2)\/(-18)))\/(-1). Let z be (-16)\/(-6) + 3\/j. Factor 32*k + 4*k**5 - 12*k**z - 201*k**4 + 205*k**4 - 16*k**2 - 12*k**3.\nAnswer: 4*k*(k - 2)*(k - 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 792 and 7653492?\nAnswer: 15306984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = 54742\/63 - 869. Find the common denominator of s and 17\/91.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 903075 and 50?\nAnswer: 1806150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 2*p + 2. Let u be s(3). Suppose 2*j = -2*j + u. Which is the second smallest value? (a) j (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 11*d. Let u(n) = 6*n**2. What is u(h(m))?\nAnswer: 726*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 1179*b - 1183*b = 24 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 210 and 172410.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-101)\/(1616\/(-156)))\/(3\/(-8)*1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the second derivative of -1\/3*g**2 - 2\/3*g**3 - 1\/2*g**4 - 3*g - 2\/15*g**5 + 0. Find z, given that k(z) = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 - -47.685064.\nAnswer: 47.185064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = -60 - -33. Let y be -2 + (-3)\/(z\/(-8)). Which is smaller: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 97\/3732 and (-1)\/2 - (75048\/144)\/(-53).\nAnswer: 3732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/4, 10\/31, -2.3, -134\/13, 2\/7?\nAnswer: 10\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 2, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = m**2 + 25*m + 46. Suppose -11*q - 325 = -72. Let h be r(q). Suppose 0*u - 2*u = -4*a + 252, h = 4*a + u - 252. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the first derivative of 2189*p**3\/3 + 1452*p**2 + 4342. Find the second derivative of b(n) wrt n.\nAnswer: 4378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -23400 + 23499. Solve 104 - f = h, 0 = 5*b - 2*h - 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/7? (a) -27 (b) 1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 113.72 + -3.\nAnswer: 110.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(-44) - (-185)\/110 - (-164)\/(-88).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*f**2*q + 31398*f - 28295*q wrt f.\nAnswer: 4*f*q + 31398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 3, l: 12}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + 3 + (0 - 6) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 3*j - 5*c - 770 = 0, 3*j - 2270 = 5*c. Round j to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -22 or -5617\/272?\nAnswer: -5617\/272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.078 - -0.278. Which is the nearest to -11? (a) -0.5 (b) g (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from {v: 2, q: 1, f: 1, p: 4, b: 3, o: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a be 282\/5 + 2\/(-5). Suppose 83 - 58 = 5*t. Suppose -t*x + 29 = -a. Calculate the remainder when 63 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -8*y - 1. Suppose 2*f = z - 3, -4*z + 8*f - 3*f + 9 = 0. Calculate d(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 42 - 46. Let d(b) = -2*b - 6. Calculate d(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2211130 + 3312?\nAnswer: 2221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 11) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-2)\/(-7))\/(18\/(-210)))\/(86\/(-129)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -31.75 - -32. Let j = l - -0.05. Which is the second biggest value? (a) -3 (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.5, 0.2, 12, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 22183722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2370*i*l**2 + 10*i + 52*l**2 + 315087 wrt l.\nAnswer: 4740*i*l + 104*l","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-1 + sqrt(1216) + 1 + -1 + sqrt(1216) + -3)*5.\nAnswer: -60 + 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x be 8*(1 + (-6)\/12). Sort x, 32, 1 in decreasing order.\nAnswer: 32, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = -i + 57. Suppose -x = -4*x + i. Factor 11*j**2 + 7*j**2 + 2*j**3 - 5*j**3 - x*j**2.\nAnswer: -3*j**2*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2717 is divided by 392?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 10*p**3 - 2*p**2 - 2*p - 2. Let g(x) be the third derivative of 1\/24*x**4 + 183*x**2 + 1\/6*x**3 + 1\/60*x**5 + 0*x + 0. What is 2*g(f) + s(f)?\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1095340?\nAnswer: 2, 5, 54767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 14*t**3*u**2 + 10*t**3*u - 8*t**3 + 506*t**2*u - 5*t*u**2 wrt t?\nAnswer: 84*u**2 + 60*u - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:44 PM and 11:25 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 8*c. Let r(d) = -13986809*d + 2. What is m(r(t))?\nAnswer: -111894472*t + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-217 + 6*j + 452 - 233)*(3*j**4 + j**4 - j**4).\nAnswer: 18*j**5 + 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**3\/5 + 85176*j**2\/5 + 136292*j + 1022208\/5.\nAnswer: -(j - 85184)*(j + 2)*(j + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -479250723 by -14161.\nAnswer: 33843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n**3 + 3*n**3 - 4*n**3)*(n + 2*n + 0*n) - 2*n**4 + 3*n - 3*n + 28*n**4 - 158*n**4 - 205*n**4 - 51*n**4 + 77*n**4.\nAnswer: -314*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.3, 0.1, -2\/15, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 158.9 + -159. What is the biggest value in j, -5, -3\/37?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 323.1153 times -3?\nAnswer: -969.3459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 175995 - 7*q - 19*q**2 - 4*q**2 + q**3 - 175995 in the form u*q + x + o*q**2 + l*q**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -s**5 - 1207*s**4 - 759*s**3 - 370986*s**2.\nAnswer: -60*s**2 - 28968*s - 4554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 230, -4, -3, -2 in ascending order.\nAnswer: -4, -3, -2, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1 + 11243?\nAnswer: 11244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 316, 315, 316, 319, 324?\n\"Answer: r**2 - 4*r + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 42.7 - -119.3. Let o = -167 + w. Put -0.1, 5, o, 1 in ascending order.\nAnswer: o, -0.1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7 + 10. Suppose 18 = -d + i*d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.04368 times -112.1\nAnswer: 4.896528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -635 - 681 = -658*m. Suppose -l = -3*c + 3, -5*l - 15 = 6*c - c. Solve -3*z - m*g = 9 - 28, c = -3*z + 3*g - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 2*i**3 - i**2 + 4. What is h(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 374 + -46a53?\nAnswer: -4668a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 171 is divided by 57.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 15\/33104 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 0, 5 in descending order.\nAnswer: 7, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f - 5*f = -20. Let c be (f - 2 - 7)\/(-1). Which is smaller: 4 or c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 4*z + 6. Let q(s) = 3*s**2. Determine q(t(r)).\nAnswer: 48*r**2 + 144*r + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 219295*f*n**3 + 3*f*n**2 + 234*f*n - 207*f + 255*n**4 + n**2 + 3*n wrt n?\nAnswer: 1315770*f + 6120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -4 (b) -8\/9 (c) 2\/7 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/87980772 and -43\/2640?\nAnswer: 1759615440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 34897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/43287 and -32\/260709.\nAnswer: 80037663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 80, 108, 156, 224, 312, 420?\nAnswer: 548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 43 + -37. Solve -2*o + r = q, 5*o + 6*q - q = 20 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 334, 767, 1284, 1897, 2618, 3459, 4432, 5549?\n\"Answer: 2*z**3 + 30*z**2 + 329*z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 803893.7 kilograms to milligrams.\nAnswer: 803893700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1450468*h**4 - 3*h - 10246074 wrt h.\nAnswer: -5801872*h**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 1327389*n. Let c(b) = -48*b**2 - 1. Calculate c(g(p)).\nAnswer: -84574154751408*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -27159, -54274, -81401, -108540?\n\"Answer: -6*b**2 - 27097*b - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1198698 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -11*x**2 + 6*x - 2. Let d(r) = -6*r**2 + 3*r - 1. Suppose 24 = -l + 19. Let p(h) = l*d(h) + 3*f(h). Calculate p(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-23)\/63 - 40\/(-180). Let f(p) = p**3 + 2*p**2 + 2*p + 3. Suppose 10*q - 5*q + 10 = 0, 2*g + q = -6. Let s be f(g). Do u and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 13422 and 2.3513.\nAnswer: 31559.1486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*c - 11*c. Suppose -h + 38 + 178 = c. Suppose h = 16*r - 13*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3.647 + 3.637. Sort 1, s, -62, 4, -0.1 in descending order.\nAnswer: 4, 1, s, -0.1, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (-6*(sqrt(44) - (sqrt(88)\/sqrt(2) - sqrt(44) - sqrt(44))))\/(sqrt(4) + ((-1*sqrt(44))\/sqrt(11) - sqrt(4))).\nAnswer: 4 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 2431824.6ns in minutes?\nAnswer: 0.00004053041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4211*w - 4193*w + 234 = 0 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((16\/10)\/2)\/((-4)\/20). Let u be (20\/12 - 3)\/(f\/6). Let v = 9 - 13. What is the closest to u in 5, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 2*t**3 - 39*t**2 - 251*t - 599. Give w(25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 3*m**2 + 2*m - 2*m + (m - 9*m + 3*m)*(5*m + 0*m - 4*m) as j + o*m**2 + r*m and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*v**3*x - 27718*v**3 - 50*v**2*x**2 + 18*x**2 - 3*x with respect to x.\nAnswer: 2*v**3 - 100*v**2*x + 36*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 353 minutes before 1:23 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-p**2 - 2 + 2 + (1 + 0 + 0)*(0*p**2 - 2*p**2 + 4*p**2) + 180*p**2 - 34*p**2 - 3*p**2)*((-2 + 4 - 3)*(2 - 2 + 2*p**2) + p - 2*p**2 - p).\nAnswer: -576*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 3 p when four letters picked without replacement from {q: 6, g: 1, e: 3, b: 1, p: 6, u: 3}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -403886021 + -2.\nAnswer: -403886023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -z**2 + 8*z - 7. Let f be q(7). Suppose -5*g + 5 = -l, -g - 23 = -10*l + 5*l. Solve -4*d - 3*n - 29 = f, -13 = -0*d + g*d + n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aqaueuuaea. What is prob of sequence quaa?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = 2*m + 117. Let k be (13\/((130\/(-40))\/13))\/(16 + -18). Calculate the highest common factor of m and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by 250296\nAnswer: -1\/62574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 0.2*-55\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-235)\/282*((-6528)\/(-40))\/12.\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 20 + -20. Suppose q = -2*s - n + 3, 0 = -0*n + 4*n + 20. What is the third derivative of s*z**2 - 6*z**4 + 4*z**4 - 10*z**4 wrt z?\nAnswer: -288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t**2\/5 - 1202*t\/5 + 1203\/5 = 0. Calculate t.\nAnswer: -1203, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -1125 (base 7) in base 4?\nAnswer: -12123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2232*s = -1682*s - 19250 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that -a**5\/6 - 83*a**4\/2 + 3083*a**3\/3 - 12790*a**2\/3 - 48700*a + 952000\/3 = 0.\nAnswer: -272, -7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand -30*f + 34*f**5 + 57*f - 26*f - 192*f**2 + 192*f**2 + 12*f**5 + (0*f**3 + 0*f**3 + 2*f**3)*(-1 - f**2 + 1) + f + 3*f**5 - f + 2*f**5 - 3 + 3.\nAnswer: 49*f**5 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(312)\/((sqrt(72)\/sqrt(3))\/sqrt(4)))\/(sqrt(28)\/(-5*(-1*sqrt(7) - sqrt(7)))).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -3ca7 (base 13) in base 11?\nAnswer: -6640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*(q**(-3)*q)\/q)**(-1\/56)*q**(-9)*q**2)**48 assuming q is positive.\nAnswer: q**(-2340\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -2.77826 * -17.\nAnswer: 47.23042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) be the first derivative of 0*u**2 + 126 + 0*u - 17\/3*u**3. Let l(f) = 4*f. What is l(o(c))?\nAnswer: -68*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = 3*p - 2, -3*p + 16 = -3*z + 34. Which is bigger: p or 36.4?\nAnswer: 36.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -56495 + -0.55246?\nAnswer: -56495.55246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -11, -40, -85, -140, -199, -256, -305?\n\"Answer: g**3 - 14*g**2 + 6*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-1 - -1)\/(-5 + (8 - 2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = l + 80. Let r be i(0). Calculate the greatest common factor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -4802873\/4 greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 4*w - 5. Let t be h(6). Let k(b) = -t*b**3 + 2*b**2 + 4 - 4*b + 18*b**3 + 2*b**2 + 5*b. Calculate k(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = 8*l - 30. Let q(w) = w**3 - w**2 - 5*w + 2. Calculate the remainder when q(4) is divided by 16\/3*9\/l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 3*j**3 + 30*j**2 + 33*j + 28. Let u(g) = -g**3 - 10*g**2 - 11*g - 9. Let k(b) = 4*h(b) + 11*u(b). Give k(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find r such that -2*r**3 - 852*r**2 - 120984*r - 5726576 = 0.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 * -14202904.\nAnswer: 5681161.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/13433 and 46\/1197?\nAnswer: 120897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2159, 2256, 2525, 3050, 3915?\nAnswer: 5204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 7.244598mm?\nAnswer: 0.000007244598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 28*w**2 + w + 6 + w**3 + 4*w - 23*w**2. Let b be z(-4). Solve -7 + 17 = -b*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -16 + -8. Let n = p + 48. Suppose 4*l - n = -4*l. Solve 2*x - l*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 2 (b) 0 (c) -69\/4 (d) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c**3 + c**3 + c**3)*((-331 - 219 - 332)*(2*c + 2*c + c) + (1 - 2 + 2)*(4*c - 4*c - c) + 2 + 2*c - 2).\nAnswer: -4409*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -6, 241, 928, 2277, 4510?\n\"Answer: 37*r**3 - 2*r**2 - 6*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000318688318 rounded to seven dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 17591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the first derivative of 4*q**3\/3 - 1. Let v(a) = -a - 8. Let o be v(-7). Let k be h(o). Put 2, k, 2\/5 in ascending order.\nAnswer: 2\/5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o + 2*n = -19 + 4, 200*o + n - 548 = 42*o + 242 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 7*z + 3*z + 2*z)*(0*z**2 - 3*z**2 + 2*z**2) - 6001*z + 6001*z + 313*z**3 + (-3*z**3 + 0*z**3 + 2*z**3)*(2 - 2 + 1).\nAnswer: 314*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 138001\/240 + -575. Let y(d) be the third derivative of 8*d**2 + 0*d + 1\/96*d**4 + 0 - u*d**5 + 0*d**3. Determine c, given that y(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from kyjqky.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-3\/11)*q*q**(-17)*q**2\/q**(5\/6) assuming q is positive.\nAnswer: q**(-997\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 15790896 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 3 + 2*n - 1)*(-4*n**3 - 1 + 1).\nAnswer: -8*n**4 + 16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1559585.\nAnswer: 5, 379, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y**3 + 6*y**2 + 46*y + 283. Determine f(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 3812523529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*h + 2*j + 112, -2*h + 3*j - 6*j + 41 = 0. Let g(r) = r**2 + 22*r - h*r - 9*r - 21. What is g(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1.007383045 to three dps.\nAnswer: 1.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 16704 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 94, 201, 378, 625, 942, 1329, 1786?\nAnswer: 2313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -2. Let s(u) = u + 1. Let o(y) = r(y) - 3*s(y). Let t = 2714 + -2724. Calculate the remainder when 69 is divided by o(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -8, -0.3, -41, -2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 31624457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2695969 millilitres in litres?\nAnswer: 0.0002695969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -15053246 - -15053246.75000037. Let h = 0.75 - s. What is h rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(-18)*1)\/((-41)\/(-123))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 38854\/21343 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2\/1117 + 4482\/7819. Suppose -5*r + 2*f = -30, -5*f - 33 = -2*r - 0*r. What is the second smallest value in 3, y, r, -2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (4 - (-12 - -9 - -19)) + -8\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from {x: 5, g: 1, a: 2, w: 1, d: 3}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-2300)\/6)\/((-48)\/72). Is -2 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is caa - 0?\nAnswer: caa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from suoul. Give prob of sequence ouus.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -64 + 65. Is 669 + j\/((-2)\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 21*f**6 - 9*f**5*w - f**3*w - f**2*w - 2*f**2 wrt f.\nAnswer: 2520*f**3 - 540*f**2*w - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 5*f**2 - 23*f - 6. Let l(z) = 2 - 78*z**2 + 8*z + 35*z**2 + 41*z**2. Let p(b) = -11*l(b) - 4*q(b). Factor p(c).\nAnswer: 2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the third derivative of 0*k**3 + 0*k - 8\/15*k**5 + 0 - 67\/24*k**4 - 4*k**2. Find the second derivative of y(m) wrt m.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7364183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = 2*d - 98, -5*l = -3*d + 115 + 32. Let z(h) = -2*h + 7. Let j be z(0). Calculate the highest common divisor of d and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 16 and 292.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 2*z**2 - 12*z + 15. Is f(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c + 33 - 23. Let d be ((-208)\/(-80))\/(c\/(-10)). What is the greatest common divisor of d and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1073844.452 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 303132 - 321113021?\nAnswer: -320203223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 3*i + 5*l, 0 = 5*i - 4*l - 14 - 6. Let r be (3 + -2)\/(i\/20). Let u be (-397)\/(-4) + r\/(-20). Calculate the greatest common divisor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -x + 319284 - 319318 = 5*g, -5*g - 22 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1781934765 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2 + 21. Let h = x - 16. Suppose -2*t - 1 + 15 = -5*c, 2*t + 3*c - 30 = 0. Solve -r = 3*r - t, -h = 3*i + r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 21112221 + -11?\nAnswer: 21112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 775, 3188, 7203, 12814, 20015, 28800, 39163, 51098?\nAnswer: 64599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1972, 3954, 5934, 7912, 9888, 11862, 13834?\nAnswer: 15804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4*(-12)\/(-16)*1*28\/6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -671863*v**2 + 335934*v**2 + 335950*v**2.\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4163 - 4163. Solve o = -5*c + 5, -6*a + 2*a + 2*c = 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 23250043 to the nearest integer?\nAnswer: 4822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**2 - 29*o - 95. Let q be l(-4). Solve -q*n + 16 = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 = -4*x, 164*b - 166*b - 4*x + 16 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 36, -348 in increasing order.\nAnswer: -348, -5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.2 + 0.1. Let f = -34077 + 34082. Which is the closest to -1? (a) i (b) f (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = m**2 - 14*m + 20. Let t be u(15). Let r be (-4)\/(-7)*t\/(-10). Let i be (0 - -2) + -1 + 0. Put r, i, 3 in descending order.\nAnswer: 3, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 45689, 45691, 45693, 45695, 45697?\n\"Answer: 2*f + 45687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*h**2 + 13 + h**2 - 13.\nAnswer: 23*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1463193 = -3*g - 2*x, -g - 3*x = -109373 - 378351. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 231*v - 191. Let r(h) = 78*h - 63. Let a(t) = 8*r(t) - 3*x(t). What are the prime factors of a(-13)?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that -y**2 - 795*y\/2 - 397\/2 = 0.\nAnswer: -397, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 47217*d + 5658?\nAnswer: 47217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes before 3:16 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3585041?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) 0 (b) 1\/13 (c) 2 (d) 6\/313\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 46*r**2 + 39*r**2 + 58*r**2 + 1 - 5 - 194*r**2 in the form n*r + o*r**2 + s and give o.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 - 4. Let m be (1 - 1)\/((-2)\/n). Let r(t) = -t**2 + 0 + 0 - t**3 + 3 + 3. Give r(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2534918.\nAnswer: 2, 1267459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4082*i - 12449*i + 4181*i + 4185*i - 80.\nAnswer: -i - 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0026883 rounded to five dps?\nAnswer: 0.00269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2 + -1. Let f = 10 + x. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7\/(-49) - ((-20)\/30 + 430\/(-21)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 940 and -4.\nAnswer: -3760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3 + 0 - 5)*(-19*w**2 - 15*w**2 - 10*w**2) + 0*w**2 - w**2 + 0*w**2)*(-w**3 - 3*w**3 + 2*w**3).\nAnswer: -174*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 7*s**2 + 8*s - 779. Give m(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*h**5 + 16656385*h**4 - 2*h**3 - 25*h**2 + 2017848*h?\nAnswer: -180*h**2 + 399753240*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 241221337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1.6 + -0.4. Let k = 0.12 - 28.12. Let y = k - b. Which is bigger: y or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 1010*u**5 + 879*u**4 + 175*u**3 - 6*u**2 = 0. Calculate u.\nAnswer: -1\/2, -2\/5, 0, 3\/101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 76 and 230617706?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 126.365 (b) -25 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 189120 or 189256?\nAnswer: 189120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1301*d**2 - d - 24163?\nAnswer: -2602*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 8, 19.6834, -3\/23?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -832592 divided by -2\nAnswer: 416296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 313 = 3*g - 5*t, -402 = g - 5*g - t. Let a = 133 - g. Find the third derivative of 11*k**2 - 5*k**6 + 20*k**6 + k**2 + a*k**2 wrt k.\nAnswer: 1800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-7)\/(-7)*-5 + 6. Put v, 3, -2 in decreasing order.\nAnswer: 3, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*r + 7 - 114 = -4*l, -4*l - 3690*r + 3688*r + 26 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4, 10, 232?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -183567 - 1c?\nAnswer: -183584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 - -2. Suppose -g = l - 2. Suppose -u - 1 = l. Let c(r) = r**3 + r**2 - 4*r - 3. What is c(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4596765 at most as big as -4596766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(154)\/(2*sqrt(21)\/sqrt(3)))\/((sqrt(220) + sqrt(220)*-2)\/sqrt(5)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t be (86 - (2 + 3\/3)) + -1. Let w = -248\/3 + t. Which is the closest to 1? (a) 13 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 120*f - 1158. What are the prime factors of u(13)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wfdeevz. Give prob of sequence dzfv.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rwrwrrqucrw. What is prob of sequence wur?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4.03 + 0.03. Let m = k + 4.1. Let q = m + -0.5. What is the biggest value in q, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the first derivative of p**6\/120 + p**5\/120 + p**3\/3 + 2. Let n(x) be the third derivative of y(x). Find the second derivative of n(z) wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -16*h - 4. Calculate d(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1918026 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 23 in -1\/21, -1\/7, -5, -0.2?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 997 in 0.3, 0, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.2 - 1. Let q = 0.1 - v. Suppose 0*s = -4*s - 4. What is the second biggest value in q, s, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 24.11276 kilograms?\nAnswer: 24112760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 * 0.04.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is r in -3*r**4 + 8226*r**3 - 98307*r**2 + 73644*r + 180180 = 0?\nAnswer: -1, 2, 11, 2730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -21*n**2 + 61*n - 11. Let u(c) = 4*c**2 - 12*c + 2. Let q = -7 + 9. Let s(g) = q*r(g) + 11*u(g). Find the second derivative of s(h) wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:31 AM and 8:41 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -64 = -5*k + b - 15, b = -k + 5. Let f(l) = -l**2 + 9*l + 6. Let g be f(k). Solve -3*v - p + 2 = 0, -g*v = -v + 4*p - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 25110130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = -23*k + 26*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -50*m - 256. Let q be u(-5). Let i be q - (-1 - (-165)\/(-35)). Which is the closest to 0.13? (a) -0.3 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*r**3\/7 + 12*r**2\/7 - 9*r\/7 - 54\/7.\nAnswer: 3*(r - 2)*(r + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 1567, 6248, 14043, 24952, 38975, 56112?\n\"Answer: 1557*p**2 + 10*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.5*1355.8.\nAnswer: 677.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 2142*d - 30017. Give v(14).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -48 - 238 - 4*w**2 + 154.\nAnswer: -4*w**2 - 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4823789582.\nAnswer: 2, 211, 11430781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3222 + 9*a - 3222 - 3*a + 6444.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0 + 2. Let u be 31\/(10\/4 - c). Suppose -62 = -4*a + u. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2\/(560\/(-7497)))\/(6488\/(-110)). Let a = -12\/811 - q. Find the common denominator of a and -63\/22.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 12, -5, 29, 3, 7, 36, 2 in decreasing order.\nAnswer: 36, 29, 12, 7, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1855? (a) 5 (b) 2\/9 (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1023, -799, -575, -351, -127, 97?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i = -13*i. Let k(n) = i*n + 39 + 0*n + 6*n - 38. Give k(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -2*q**2. Suppose w - 3 = 2*w. Let n(j) = 2*j**2 - 3*j - 3. Let b(s) = -s - 1. Let k = -1656 + 1657. Let d(p) = k*n(p) + w*b(p). What is d(z(g))?\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 1055*y + 1058*y - 2121*y - 62. What is the remainder when 52 is divided by w(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40 = 5*z - 2*j, -5*z - j + 40 = -6*j. Suppose 0 = z*d - 68 + 36. Solve -5*c = -3*c - 4*i - 18, -c - d*i - 3 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (187*476\/(-2023))\/((-1)\/3*2*2).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.03 + 36.03. Let r = -6 + p. Let z = -30 + r. Which is the closest to 0.1? (a) 2 (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 349, 693, 1037, 1381, 1725?\nAnswer: 2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 301.9871 + -302. Round o to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 379 is divided by 80?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -14114*741\nAnswer: -10458474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 28634368 divided by -2204?\nAnswer: -12992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 7616, 13097, 18578?\n\"Answer: 5481*b + 2135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 507*b. Let u(z) = z. Determine u(h(y)).\nAnswer: 507*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k - 1. Let a(o) = 9*o**2 + 4*o + 2. Let d = -2585 - -2584. Give d*a(j) - 4*n(j).\nAnswer: -9*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -2*s - 1. Let w = 0 + -4. Let b(p) = -p**3 - 8*p**2 + 11*p + 3. Let z(d) = -d**2 + d. Let g(l) = b(l) - 5*z(l). Let m be g(w). What is a(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 522280145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 9\/5, -0.01, -2\/3, -0.5, 9, -3?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -27*o**2 + 29*o - 4. Let d(i) = -53*i**2 + 51*i - 7. Let l(h) = -4*d(h) + 7*j(h). Let y = 6 + -4. What is the tens digit of l(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1 - 86)*4\/(-12). Suppose 0 = i - 91 + j. Calculate the remainder when i is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 2 - 7*u + u - 3*u**2 + 4*u**2 + 3*u. Let q(m) = -m**3 - 8*m**2 - m - 6. Let d be q(-8). Let h be b(d). Solve s - 5*s - 20 = h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 3 + 2*u)*(-855 - 2717 - 12500) + 0*u - u + 2*u in the form l*u + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -3349999*y + 2. Let a(t) = t - 1. Let w be a(-1). Let r be h(w). Round r to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8.264899 centuries in decades?\nAnswer: 82.64899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 14505386*d*k + 412*k + 458 wrt d.\nAnswer: 14505386*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.7 - -0.4. Let s be 7\/(-1) + (30\/5)\/12*-106. Sort s, m, -1\/3 in decreasing order.\nAnswer: m, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/(-10) + (-44)\/10. Let o(b) = -b**3 - 5*b**2 - 5*b + 4. What is the smallest common multiple of o(c) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 154 is divided by 72.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18\/3 + -5 - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 9*b + 8*b - 8*b + (-3 + 1 + 1)*(13*b + 16 - 16) in the form j*b + z and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = z**3 - 56*z**2 + 105*z + 228. Let k be x(54). Calculate the greatest common factor of 121 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1530000 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5732, 6079, 6426, 6773, 7120, 7467?\nAnswer: 7814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.19 times 0.024?\nAnswer: -0.00456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h - 5. Let j be i(-6). Let a = j - 8. Let q(c) = c**3 + 8*c**2 + 8*c + 11. Let w be q(a). Solve -2*d = -4*u + 22, -u - 3*d = -6 + w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(-11\/6)*o*o*o*o**5*o assuming o is positive.\nAnswer: o**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:20 PM and 12:08 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 0.21 (b) 12 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.1 - -5.1. Sort 2, n, -2.\nAnswer: -2, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3)\/6*0 - 2. Let b(m) = -18*m**3 + 2*m**2 - m - 2. Let q be b(n). Let u be 2 + -3 + 19 - -1. What is the greatest common divisor of q and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5832999917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 699 minutes after 3:43 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 35 - -1068895?\nAnswer: 106891a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -3310*l + 72 = 5*h - 3302*l, -5*h = -l - 36 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000031331 rounded to 7 dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 78 divide 200906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*b = 2*b - 20. Let q be 4\/(-6) - b\/6. Let i(a) = a**3 - a - 4. What is i(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 3, -38, -5, -28 in ascending order.\nAnswer: -38, -28, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) -43656\/185 (c) 0.3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*y**2 + 4*y**2 - 2*y**2)*(6*y**3 - 5*y**3 + 4 - 3).\nAnswer: 2*y**5 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -m**3 - 5*m**2 - 2*m + 13. Suppose -3*g + 16*k - 11 = 17*k, g + 9 = -3*k. Let v be d(g). Is 1\/308 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -100 - -140. What is the greatest common divisor of p and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 4*i**3 + 4*i**2 + 13*i + 960. Let y(m) = -m**3 - m**2 - 3*m - 240. Let k(p) = 2*d(p) + 9*y(p). Let n be k(0). Round n to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2661171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 7 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 162 or -0.04?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.53 + -0.03. Which is the biggest value? (a) -1 (b) w (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -3744 and -226.4?\nAnswer: 3517.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 31849274 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4.9 take away -2937?\nAnswer: 2941.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bqvvbvbqqqqqvvqq?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o*(o\/((o*o**2)\/o)*o)\/o*o*o)\/o)\/o)**(-5)*o\/o**(1\/15)*o*o*o**(2\/17) assuming o is positive.\nAnswer: o**(778\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 144 minutes after 3:40 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3455896 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i be -5 + 2 + 1 - -3. Suppose -5*z + i + 9 = 0. Let p(l) be the second derivative of -l**2\/2 - 2*l. Let k(y) = -2*y - 1. Calculate z*p(o) - k(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2168895005?\nAnswer: 5, 31, 13992871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2 - -389998)*(0 + 1). Suppose y + 0*y - 1949998 = -5*o, 2*y - f = -o. What is o rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (5 + -4)\/(1\/13) - 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = 2*i - 52, -5*i = x - 0*i - 34. Let t(j) = j**3 + 8*j**2 - 13*j - 29. Calculate the remainder when x is divided by t(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 984013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*a + 122024 = -31*a - 2*m, 3*a - 45774 = -3*m. What is the highest common factor of 1315 and a?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -140*p - p**2 + 140*p + 32 - 32.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 2410153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -160 divided by 4\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = 497 - 193. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.366997 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = 845 + -594. What are the prime factors of c?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (14 - 39*z**2 - 14)*(2*z + 0*z - z + (4 + 3 - 5)*(5*z - 4*z - 3*z)).\nAnswer: 117*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 13*y**4 + 9*y**4 + 8*y**4 + (5 + 1 + 6)*(-4 - 2*y**4 + 4) - 9*y**4 + 5*y**4 - y**4.\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5184)*2 + sqrt(36))\/(sqrt(192)*-2).\nAnswer: -25*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5342*z**2 + z**3 + 11141*z**2 - 5799*z**2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -2*n - 165. Let v(m) = m + 87. Calculate -5*a(y) - 9*v(y).\nAnswer: y + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 2*m. Let n(u) = 56969*u. What is q(n(g))?\nAnswer: 113938*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -b + 42 - 82 + 40. Let q(y) = 83*y. Give q(r(l)).\nAnswer: -83*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 39b - 2b2?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(18) - sqrt(162)\/sqrt(324))\/(sqrt(144)*2).\nAnswer: 5*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes after 10:37 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -17 - 14182\nAnswer: -14199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 793559448?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 323\/27, -27, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -112.27 - -0.3.\nAnswer: -111.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, f: 1, q: 1, x: 1, m: 1, n: 2}. Give prob of sequence nq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7960.\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1 - ((-1)\/5 + 14\/(-5)). Let p(s) = 3*s - 6. Give p(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 16 + 5 - 1)*(12*a + a - a).\nAnswer: -144*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 21 = 2*v + 2*a, v = 4*a + 21. Suppose 2*f + 3*f = 5*i - 55, 5*f + 63 = -3*i. Let x = f + v. Calculate the highest common factor of 45 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 762.00001073 + -762. What is b rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 18 - 20 - (6 + -6 + 11)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42*j - 12*j - 34*j**2 + 79*j**2 - 39*j**2.\nAnswer: 6*j**2 - 54*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4736 + 4648. Sort 3, 5, -4, j.\nAnswer: j, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 133 and 80213.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 134 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2 and 279108?\nAnswer: 279108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m**3 + 12*m**2 - 13*m + 39. Determine x(-12).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1d4506 - 4?\nAnswer: 1d4502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*r**3 + 0*r**3 + 3*r**3)*(-5*r**2 - 2*r**2 + 5*r**2) + 2*r**5 + r**5 + 0*r**5 - r**5 - 3*r**5 + 5*r**5 - 3*r**5 + 3*r**5 - 4*r**5.\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**2 - 3*l - 3. Let d be x(-2). Let o(p) = -6*p - 1. List the prime factors of o(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5140533 minus 0.59?\nAnswer: 5140532.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5 - 15a?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 31 smaller than -1793.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 2*g - f = 67, 2*f = -5*g + 108. Suppose 2*l + g - 14 = 0, l + 241 = 3*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 2*t**3 - 22*t**2 + 5588*t - 44301. Give m(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 4) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -491.462 times 0.2\nAnswer: -98.2924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*k + 26*k = 0. Solve -4*t = -k*h + h + 3, -5*h + 2*t + 29 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-5\/2)\/n*n**(-15) assuming n is positive.\nAnswer: n**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-464)\/(-26) + 18\/117. Solve 12*w = 18*w - q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1196 divide 6349292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 42, 46, 40, 18, -26, -98, -204, -350?\n\"Answer: -l**3 + l**2 + 8*l + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {e: 5, g: 3, t: 1, p: 1, s: 2, k: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -12, -1, -6 in descending order.\nAnswer: -1, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 29458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 21 + -20. What are the prime factors of l + (-1 - (-7 + -196))?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n**5\/4 - 7*n**4\/4 - 4*n**3 - 2*n**2 + 4*n + 4 = 0. Calculate n.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 98489080 is divided by 1542?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1269 a factor of 43431133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 826839.\nAnswer: 3, 13, 37, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -80454*n**2 - 80782*n**2 + 161241*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -9, 28, -230, -5 in increasing order.\nAnswer: -230, -9, -5, -4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = 697 - 702. Suppose 4*j = 3*j + 1. What is the second biggest value in j, d, -0.3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -68 - 97a4?\nAnswer: -9861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -11102 (base 3) in base 12?\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1875)\/750)\/(5\/12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 503386445 by 1.\nAnswer: 503386445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 6871 by 6.\nAnswer: 6871\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 60 = 8*o. Calculate the smallest common multiple of o and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:51 AM and 9:22 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 4, u: 6, m: 2, n: 1, y: 4, z: 3}. Give prob of picking 2 u and 1 z.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 56 - (-79 + 98 - -52)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1c004 - -8?\nAnswer: 1c00c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 21280896 and 26390.\nAnswer: 5278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u be -16*(-2 - (-2)\/(-8)). Suppose u = d + 6. Suppose -4*v = v - d. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 27*c**2 + 18*c - 17. Suppose 3*y + 4*i = y - 12, 5*y - 2*i - 18 = 0. Let f(g) = -8*g**2 - 6*g + 6. Let s(b) = y*v(b) + 7*f(b). What is p in s(p) = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 264 = -2*k, w + k - 258 = -3*k. Let z = -158 + w. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10 - (8 - -6) - -8) + -3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*a + 5*a - 2*a)*(-113*a + 8*a + 4*a).\nAnswer: 101*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w be (4\/(-8))\/(1\/(-8)). Suppose 0 = -w*m - 4*s + 20, 2 = s - 1. Let d(b) = b**2 - 1. Let l be d(1). Solve k + 0*k - m = l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 130405 - 24102?\nAnswer: 103303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Add -42904624664530 and -1.\nAnswer: -42904624664531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 112020 a multiple of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a\/a**1)\/a)\/a)**(12\/5)\/(a**0)**(-2\/27) assuming a is positive.\nAnswer: a**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = 28 - 27. What are the prime factors of 270\/54*25*(v + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1359558 by 1359558.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Is -82\/233 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = 59 + -33. What is the remainder when z is divided by 8 + (1 - (-1 - -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -27 - -30. Calculate the least common multiple of s and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 618485 and 21119?\nAnswer: 4329395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -54*q + 28*q + 28*q + 30*q - 33*q - 7119 to v + w*q and give v.\nAnswer: -7119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = 12 + -12. Let a = 18 - g. Solve 3*h - a = 3*d, 5*h - h = 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2214 (base 6) in base 3?\nAnswer: 201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 5*(4*(sqrt(112) + -1 - sqrt(112)))**2.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -678, -679, -682, -687, -694?\n\"Answer: -x**2 + 2*x - 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 22\/(-18) + (-90)\/(-135) - -1.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2237.766 millilitres to litres.\nAnswer: 2.237766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 37911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -4*w - 4, 3 + 9 = 3*w - 3*q. Let j(p) = p**3 + p + 2. Let o be j(w). Solve -3*g + 4 = o*r - 7*g, -2 = -4*r + 2*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 335\/2 (b) 1\/59 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7087?\nAnswer: 19, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4 + -42. Let p = c - -39. Let i = 15 + -28. What is the nearest to p in -2\/3, -2\/7, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 62502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from emeefxse. Give prob of sequence ese.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -1207, 6, 99, 4\/37, -1\/6 in descending order.\nAnswer: 99, 6, 4\/37, -1\/6, -1207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.35 in 7\/6, -1, -0.1, -3, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 351.7 - 352.0906. Let i = -0.3907683 - u. What is i rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4087*a + 4089*a - 16370*a - 112*a**3 + 4095*a + 4099*a.\nAnswer: -112*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -31*v - 31. What is t(3)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 633*m - 352?\nAnswer: 633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - ((9 - 7) + -4 + 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 19*t + 8. Let m be (4\/5)\/(-2)*-10. Is d(m) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 171335 is divided by 171080.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 237959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -76462515 by -5.\nAnswer: 15292503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 201*u + 1. Let s be y(-1). Let j = s + 639. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 + 6*p**2 - 6)*(-51 + 23 + 7 - 128).\nAnswer: -894*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2434889 + 241051762\/99. Let j = z + 267\/11. Let -j*l**2 + 2\/3 + 4\/9*l**3 + 4\/9*l = 0. What is l?\nAnswer: -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -34.92 and 5?\nAnswer: -174.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ahh when three letters picked without replacement from hyaayahahgh.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -113 (base 15) in base 16?\nAnswer: -f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 736 - 689. Let b(v) = -v**3 + 14*v**2 - 9*v + 1. Let r be b(6). Calculate the greatest common factor of r and w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/12 in -2\/793, -0.2, -1\/2?\nAnswer: -2\/793","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1318416943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 19*d**2 - 2*d. Let f(s) = s - 23. Let q(p) = -126*p + 2415. Let n(a) = -105*f(a) - q(a). Calculate m(n(t)).\nAnswer: 8379*t**2 - 42*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 45 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -326 - -328.82. Let m = h - 2.004. Round m to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -160*a. Let v(x) = 453*x - 1. What is -6*v(m) - 17*z(m)?\nAnswer: 2*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, -87, -1\/2, -0.579, 0.1 in descending order.\nAnswer: 0.3, 0.1, -1\/2, -0.579, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o**3 - 2*o**2 + o. Let b be t(-2). Let h(y) = -22*y**2 + 1. Let k be h(b). Let v = -34 - k. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-10730)\/(-464))\/(-185))\/((-4)\/(128\/(-3)))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -276*n - 8 + 2 + n**2 + 272*n - 1. Let l(s) = 2*s**2 - 9*s - 15. Determine 13*b(u) - 6*l(u).\nAnswer: u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the first derivative of -s**2\/2 + 2*s + 13. Let m be (3*8)\/(-7 - -6). Let d = m - -18. Calculate v(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -488, -0.1, 20980?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -m**4\/4 - 11755*m**3\/4 - 8634782*m**2 + 8637721*m.\nAnswer: -m*(m - 1)*(m + 5878)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bgb when three letters picked without replacement from ggbbbgdbgbg?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -35*w + 3549. Calculate b(100).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j be 35\/5*(-12)\/7. Let p be (-4)\/j*(-1 - -19). Let d(b) = 0*b**2 + p*b**2 + 2*b**2. Let y(i) = -i**2. What is d(y(r))?\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -105730 (base 8) to base 9\nAnswer: -54087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1.40908*-0.5\nAnswer: -0.70454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3 + 33\/6)*(-3 + 5). Let a be 4 - n - (2 - (3 - -2)). Let r(s) = 5*s**3 + s**2 + 4. List the prime factors of r(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 938598.\nAnswer: 2, 3, 311, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-5)\/2 + 4)*10\/3. Suppose q = -3*g - 1, 3*g - q - 1 = 4*g. Solve g = -m - d + 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (13 + 7*n - 13)*(0*n**2 - 4*n**2 + 5*n**2)*(59*n - 58*n + 153*n)*(-1 - 3 + 1 + (1 + 1 + 0)*(-5 + 3 + 1)).\nAnswer: -5390*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3632 + 468542\/129. What is the common denominator of -71\/114 and t?\nAnswer: 4902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:41 AM and 10:41 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h = h - 3*f - 53, 3*f + 112 = 2*h. What is the highest common factor of 472 and h?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-3)\/((-1)\/(4\/6)). Let u(m) = 5 - 5 + c*m. Let g(o) = 3*o**2 - 3*o**2 - 5*o**2 + 3*o**2. What is u(g(f))?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 92 > 405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*r**2 - 8*r**2 + 2*r**2 + 8*r**2 + 9*r**2.\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21545687?\nAnswer: 23, 936769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k**3 - 4*k**2 - k - 1. Let u be f(-4). Suppose 3*t - 14 = -3*z + 4, 0 = -t - u*z + 12. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/y**(-38)*y*(y*y**(-28))\/y*(y**35\/y)\/(y**(-3\/7)\/y))**25 assuming y is positive.\nAnswer: y**(8300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = -124\/395 - -9\/79. Which is the nearest to 9? (a) 0 (b) -2\/9 (c) n (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-16 + 16 - 15) + 17 - (0 - -24).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 5863296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1188 (b) 4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -26, -140, -340, -632, -1022, -1516, -2120, -2840?\nAnswer: -3682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 162, 1154, 3828, 9024, 17582, 30342?\n\"Answer: 140*p**3 + p**2 + 9*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 6, 0, -20, -60, -126?\n\"Answer: -h**3 - h**2 + 4*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -t + 2*o - 5*o + 27, -o = -2*t + 54. Let v = 82 - t. Suppose -2*g + v = 3*g. Calculate the remainder when g is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22040.\nAnswer: 2, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 15923221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/5, -1, 0.1, 3\/2, 0, 69.2 in decreasing order.\nAnswer: 69.2, 3\/2, 0.1, 0, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 665 divide 37148230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -8*g**2*q**3 - g**2*q**2*t - 14*g**2*q + 51*q**5*t - 17*q*t wrt q.\nAnswer: -48*g**2 + 3060*q**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/26 in 945\/37, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 37651.\nAnswer: 23, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (475*g - 599*g + 2 + 308*g)*(g + 1 - 1) to f*g**2 + u + a*g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -664\/49? (a) 3 (b) 289 (c) -0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -41, -31, -17, 1, 23, 49, 79?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 19 = -w, 0*t - 5*t - 55 = -5*w. Let v(j) = j**2 - 5*j + 4. Let f be v(4). Does 18 divide f\/(-1) + 276\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -104 + 104.0036. Round a to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8.61 - -9.1. Let x = 20.940173 - 21.43017053. Let u = x + y. What is u rounded to seven decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate 145683 divided by 48561.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 23? (a) -1\/3 (b) 1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 2688799, 5377523, 8066247, 10754971?\n\"Answer: 2688724*z + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from {w: 1, l: 2, a: 2, e: 2, f: 1, g: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = 22312137307\/1815 - 12293187. Let j = v - -2\/1815. Determine u, given that j*u + 0 + 2\/5*u**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-236)\/(-885))\/(2 - (-24)\/(-9)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1)\/((-2)\/(-4)) - -3. Let j(k) = -8*k**2 - 2 - 7*k - a - 2. Let d(u) = 15*u**2 + 13*u + 9. Give -6*d(v) - 11*j(v).\nAnswer: -2*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 m and 1 d when four letters picked without replacement from ddmmdmdddmdmm.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ccpccpckccgpcppg. What is prob of sequence gcgp?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 128, 92, 66, 74, 140, 288, 542, 926?\nAnswer: 1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(5\/2)\/((d*(d*d**(-41)*d)\/d*d)\/d*d))\/(d\/(d*d*d**33*d)*d)**(1\/11) assuming d is positive.\nAnswer: d**(959\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9 + 2)*((-1)\/4 - 14084\/(-57232)).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o*o\/((o**(-9)*o)\/o*o))\/o**28)\/(o**(-2)\/(o\/o**(-1\/22))) assuming o is positive.\nAnswer: o**(-307\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 839740001866*r**2 - 839740001866*r**2 + 2*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-6)\/(-57) - 301\/(-931). Let b = -5 + 6. What is the nearest to 2\/5 in w, -0.4, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, 2\/7, 2, -2, 2\/8263 in increasing order.\nAnswer: -2, -0.3, 2\/8263, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 10, 21, -107, -2, -5, -4 in descending order.\nAnswer: 21, 10, -1, -2, -4, -5, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 7*a**2 + 220*a + 21. Is 18 a factor of l(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.02 times -268\nAnswer: -5.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 55*k**3 - 1153*k**2 + 52*k - 72. Calculate u(21).\nAnswer: 1902","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 4*t**2. Let n(k) be the third derivative of -9*k**5\/10 - 68*k**2. What is p(n(d))?\nAnswer: 11664*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5 + -9. Let c be (-5466)\/(-30) - f\/5. Suppose -469 = -3*d + 4*n, 0*d + 4*n = -d + c. Round d to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*s = 3311 - 2933. Solve 0 = 4*m - z - 18, 5*z + 11 = -5*m + s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 217 a factor of 8372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -1205, -2410, -3619, -4832, -6049, -7270?\n\"Answer: -2*p**2 - 1199*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - (-2 - -3 - (-2 + -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*x**4 - 56*x**3 + 392*x.\nAnswer: 60*x**2 - 336*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -3*v**2 - 16*v - 28. What is u(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 26 (b) 6 (c) -5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -154 + 154 - (19 + -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 138765*h**2. Let w(m) = 2*m**2. Give w(q(x)).\nAnswer: 38511450450*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1475\/250 + (19 + -1)\/(-3). Which is the third biggest value? (a) 15 (b) 0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 111643 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.4 in 3, -11, 23\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 28\/(-8) + 2 + (-3)\/(-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -15*m**6 + 597*m**3 + 88*m**2 - 34*m wrt m?\nAnswer: -1800*m**3 + 3582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 - 1 = n. Let y(i) = i - i + n*i**2 + i**2. Let g(x) = 10*x + 7. Let d(c) = 7*c + 5. Let j(s) = -7*d(s) + 5*g(s). Give y(j(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 14) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 18\/14 + -1 - (-12 + (-6102)\/(-189))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 28 - 31.8. Let v = k + -0.2. Let g = v - -3.9. What is the smallest value in 0.4, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -10 - -14. Suppose 2 - d = h, -5*h = 3*a - 416. What is the remainder when a is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4*k**2 - 3*k**2 + k**2)*(12*k + 34 + k**2 - 34) - 1 + 2*k**4 + 1 in the form u*k**4 + t*k**2 + i + j*k**3 + p*k and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = 2*f - 16, v + 4 = f - 3. Solve 0 = -f*s - 20, -5*g + 3*g = 2*s + 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*k + 2*k - k**2)*(4*k**2 + 5*k**2 - 2*k**2) - 5*k**4 - 26 + 15 + 10.\nAnswer: -12*k**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(2 + sqrt(200))**2 - (-2*sqrt(108) - sqrt(12))\/sqrt(6).\nAnswer: -1020 - 193*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find r such that 2*r**2\/7 - 179140*r\/7 - 895750\/7 = 0.\nAnswer: -5, 89575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(1\/6)*k**(-2\/5)*k)**(-15) assuming k is positive.\nAnswer: k**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2 + 0)\/2 - -78. What are the prime factors of 4\/(-22) - (-553)\/c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -y**3 + 11*y**2 - 13*y + 12. Let h be m(8). Suppose -8*w + 3*w + h = 0. Calculate the highest common factor of w and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-168)\/168)\/((6*(-1727)\/(-198))\/(2\/3))\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 287 - 1071. Is (-1)\/(-5) - r\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43 greater than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -1336*h = -1331*h + 50 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (y**3 - 2 + 2)*(0 + 0 - 4*y) + (-2 + 3 + 1)*(-5*y**4 - 5*y**4 + 4*y**4).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 376173.9m to millimeters.\nAnswer: 376173900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54*g - 28536 = 30*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 650273 times -0.2\nAnswer: -130054.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3414480 and 10243440?\nAnswer: 10243440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -189*o**2 - 546*o - 35. Let m(k) = -11*k**2 - 32*k - 2. Calculate -35*m(i) + 2*u(i).\nAnswer: 7*i**2 + 28*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/21, 29, -1\/10, 7 in ascending order.\nAnswer: -1\/10, 2\/21, 7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/331 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2*(2 + -3)\/(-1). Calculate the common denominator of 143\/12 and ((-135)\/48)\/(-3) + d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9347*c + 4996*c**2 + 25 - 4997*c**2 - 27 to k*c + w*c**2 + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 266 minutes before 4:21 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 10 + -120. Let l = f + 108.53. Round l to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -19 - -10.5. Let b = h + 1. Let f = b + 7.49999921. What is f rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*(-6)\/(-12)*(-177266)\/(-1453)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 54484*b**2 - 109142*b**2 + 54656*b**2 - 1523*b.\nAnswer: -2*b**2 - 1523*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 4160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.8 - 3.8. What is the third biggest value in -1\/3, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.13 - -1.57. Let j = 32.7 - p. Let u = -30.99996 + j. What is u rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l - 6*l. Suppose l*c + 4*c - 148 = -3*j, 106 = 3*c + j. Is 23 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -59 from -434797165.\nAnswer: -434797106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -57*a + 147924 - 55356 = 0. Let k(d) = 214*d**2 + d. Let w be k(-1). Let q = a - w. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 215918, 215468, 215018, 214568, 214118?\n\"Answer: -450*c + 216368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p**3 + 23*p**2 - 2*p + 22. What is s(-23)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v + 4 - 4. Let h(c) = c - 3. Let j be h(3). Suppose j = 5*m + o - 2*o - 24, -4*m + 12 = o. Determine q(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7334747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the third derivative of -13*q**9\/504 + q**5\/60 + 17*q**2. What is the third derivative of i(r) wrt r?\nAnswer: -1560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 432888522?\nAnswer: 2, 3, 11, 6558917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 2 times 2816344\nAnswer: 5632688","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -2616, -4707, -6798, -8889, -10980?\n\"Answer: -2091*q - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xdi when three letters picked without replacement from vxyhhdvi.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 3299121 to the power of 1\/2, to the nearest integer?\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1959138?\nAnswer: 2, 3, 31, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sum -5839 and -4.\nAnswer: -5843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1 + 401?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6225434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**3 - 25*p**2 - 57*p + 86. Let g be y(27). Let q be 1\/((-2)\/6) + (-65)\/26. What is the biggest value in q, g, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -909 + 909 - 1204*x + 13453*x.\nAnswer: 12249*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be (6 + 0 + 0)*6. Let l be 1*-5*x\/(-5). Let t be 2\/(31\/2 - (-3 - (4 + -22))). Solve -2*s - 24 = t*r, -4*s - l = 2*r + 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence px when two letters picked without replacement from xkaaxpakxpa?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r be (3\/(-2) - 1)*(-216)\/135. Which is the third smallest value? (a) 14 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 500.9426 to 0 decimal places.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = -563 - -226. Let f = -337.01151 - r. What is f rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 39478957?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 471498*a - 40. Let o be t(-20). Round o to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1 + -3)*(-10)\/8. Suppose b*a - 24 = 16. What is the second derivative of 0*g + 4*g**5 + 15*g - a*g wrt g?\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -3*r - 21. What is the smallest common multiple of n(-10) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 1901*b**4 - 8 - 1895*b**4 - b**2 + 1 - 5*b**3 + (-b + 2*b**2 + b)*(-4*b - 2*b**2 + 4*b).\nAnswer: 2*b**4 - 5*b**3 - b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 77 a factor of 855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -32*c - 166. Let f be y(-13). Which is smaller: 497\/2 or f?\nAnswer: 497\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from {f: 2, z: 1, q: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -2*n**2 + 47*n + n**4 - 2*n**3 - 49*n + 3 - 3*n**4 as v*n**4 + t + y*n**3 + x*n + r*n**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -11 - -9. Let n = -0.8 - -0.3. Which is the smallest value? (a) n (b) -0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 1924*a + 159665. Calculate u(-83).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 15*n - 8. Let m(t) = -29*t + 15. Let y(b) = 5*g(b) + 2*m(b). Does 8 divide y(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-6 + 878)\/((-2)\/(-1)). Let m be (-9)\/45 - p\/(-5). Suppose 2*n + n - m = 0. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by 49321\nAnswer: 2\/49321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 288917768351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/15*(-21850)\/380.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 1, z: 2}. What is prob of sequence zqz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-63)\/(-35))\/(27\/(-45)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -96*n + 97*n + 3*x - 6 = 0, 4*x + 12 = 2*n. Suppose -n*o - o + 1680 = 0. What is the remainder when o is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (6 - 87\/9)\/(2\/(-1212))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10430, -10288, -10146?\nAnswer: -10004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 132.3, 0.1, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t when two letters picked without replacement from pttoptzjziijjj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 53*b + 43 = 1227 + 300 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*m**2 - 2*m**2 + 9*m**2 - 8*m**2 + 0*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + k + 23281 = -31215, -b + 10912 = 3*k. What are the prime factors of b?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1.466066 to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 14 (b) -13 (c) 0 (d) 1\/32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -40203 (base 7) to base 9\nAnswer: -14273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*b**5 - 5*b**3 - 3*b**2 + 4 wrt b?\nAnswer: 120*b**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -969505 <= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 20.887 - -13.113. Which is the fourth smallest value? (a) 1\/4 (b) 1 (c) 1.8 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 180676367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.254 - -208.254. Let b = 213.68 - n. What is b rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -605.2072 rounded to the nearest 10?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 71 - 67. Suppose -2*h - 16 = 5*r - 29, -4*h - 10 = -2*r. Solve -y*q = -r*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -n**3 + 10*n**2 - 5*n + 4. Let x be m(9). Suppose 0 = 5*o - x - 380. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0522097 days in nanoseconds?\nAnswer: 4510918080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 236 and 9.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = 64 - 56.8. Let t = 0.6 - d. Let m = t + 6.60000051. Round m to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -6*c - 1. Let z(d) = 426*d - 2. Give -6*n(l) + 2*z(l).\nAnswer: 888*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 105*d**2 + 26*d**2 + 2*d**2 - 20*d**2 in the form u + q*d**2 + t*d and give q.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 13*2939767\nAnswer: 38216971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, 1\/4, -112, -2\/12455?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -540*q + 1040. Give p(2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 12*j - 79. What is t(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 2*n**3 + 2*n**2 + 3*n - 2. Is k(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the second derivative of -2*p**3\/3 + 2*p**2 + 8*p. Let t(c) = -2 - 3 + 7*c - 3. Let r(h) = 5*m(h) + 3*t(h). Determine r(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 30*n**2 - 698*n + 1421. Determine s(2).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-8 + 1 + 7)\/(-2). Solve 0 = i - j + 9, -16 = -o*i + 4*i + j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 195\/4 - 49. Let n be (12*15\/(-90))\/(0 - 21\/(-3)). Which is the nearest to n? (a) x (b) -3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2445\/18 + 1\/6. Suppose -4*x + 64 = 4*b, 0 = x + 3*b - 14 - 0. Calculate the greatest common factor of x and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -18 in -5, -16, -1\/18, 2\/5, -1\/3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 36 - 63. Let c = r - -26. Let x(m) = m**3 + 9*m**2 + 8*m - 8. Let k be x(-8). Which is bigger: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 5, -1945, -4, -18 in ascending order.\nAnswer: -1945, -18, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 43\/2 of a millennium in decades?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 11) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v**3 + 56*v**2 - 146*v + 5277. Give r(55).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: What is 18182559 rounded to the nearest ten thousand?\nAnswer: 18180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 2*n**3 - 11*n**2 + n + 1. Let j(g) = 9*g**3 - 18*g**2 - 81*g + 48. Let l(p) = j(p) - 6*z(p). Factor l(o).\nAnswer: -3*(o - 14)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 887.3 + -892.3. Put -1\/9, y, -0.3, -4\/5, -8 in decreasing order.\nAnswer: -1\/9, -0.3, -4\/5, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sgg when three letters picked without replacement from {s: 4, l: 4, g: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -274 = 39*t - 41*t. What is the remainder when t is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 122, -0.5, 0.5, 1, 0.4, 280?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes after 1:37 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/1374390 and 113\/5497560?\nAnswer: 5497560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 999 and 104562?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 13573, 52201, 115875, 204583, 318313?\nAnswer: 457053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**3 + 31*i**2 + i - 31.\nAnswer: -(i - 31)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (d - 72*d - 71*d - 17*d - 1)*(33*d + 15*d + 7*d).\nAnswer: -8745*d**2 - 55*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*-1*((-1 + sqrt(637)*-1)*-5 - -4*(4 + sqrt(637) + -1))**2.\nAnswer: 8568*sqrt(13) + 207544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 0 * -1806.0689\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = a + 1. Put a, -2, -3\/7, 0.6 in descending order.\nAnswer: a, 0.6, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 34122, 34120, 34118, 34116, 34114, 34112?\nAnswer: 34110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the third derivative of 6*v**7\/35 + 13*v**5\/15 - 30*v**2 + 2. What is the third derivative of y(j) wrt j?\nAnswer: 864*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in eighteen fifths of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3 - 110332122?\nAnswer: -110332113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -9 + 38*v + 12*v**2 - 23*v - 5 - v**3 + 2. Calculate the remainder when 55 is divided by c(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 26246 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*q**2 - 3*q**2 - 2*q**2)*(3*q - 3*q + 2*q) + (5 + 4 + 0)*(2*q**3 - q**3 + 0*q**3) to the form t + a*q**2 + k*q**3 + i*q and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 650*k**3 - 76*k**3 - 4 + 4.\nAnswer: 574*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -44, -158, -464, -1058, -2036, -3494, -5528, -8234?\n\"Answer: -16*d**3 - 2*d - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from {f: 4, c: 2, k: 9, a: 1, x: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-47)\/(47000\/2100))\/(18\/10).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -951097840 divided by 1879640\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 16 and 28808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjjqnnjqqqnqjjqxj. Give prob of picking 2 q and 1 j.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 77456 and 12718852?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 2*i = 0. Let v be 2 - (3 + (i - 3)). Suppose 0 = 4*r + k - 2 - 2, 4*r - 16 = v*k. Solve -3*g = r*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (116\/((-391500)\/405))\/((-1)\/4*3\/15). Let a = -22\/5 + 6. Factor -4\/5*v**3 + k*v + a*v**2 + 0.\nAnswer: -4*v*(v - 3)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 230324, 230505, 230686, 230867, 231048?\nAnswer: 231229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 87129 is divided by 7257.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5529, 21251, 47175, 83301?\nAnswer: 129629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 2859, 5, -5 in increasing order.\nAnswer: -5, 5, 2859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 42 a factor of 13898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-25 + 11)*1\/27. Let r = q + 44\/189. Let k = 7.07 + -7. Which is smaller: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h*h**(-17\/5)*h)\/(h*((h\/h**(-33))\/h)\/h))\/(h\/(h\/h**3)*h)**(1\/73) assuming h is positive.\nAnswer: h**(-12211\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 296924093 to the nearest integer?\nAnswer: 17231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r be 5 + (4771\/(-338) - -9). Which is the smallest value? (a) 0.03 (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -630, -58, 1518, 4602, 9698, 17310, 27942, 42098?\nAnswer: 60282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of l**3 - 4800*l**2 + 298*l - 103 wrt l.\nAnswer: 6*l - 9600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 4*p = -336. Let s be (p\/(-105))\/(2\/(-5)). Which is greater: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = n**2 - 7*n + 3. Let u be b(7). Suppose 0 = -4*a - u*q - 18, -3*q - 5 = a - 2*q. Sort 2, a, -4.\nAnswer: -4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*j = -1637 - 946. Does 30 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -20 + 42. Calculate the highest common divisor of 143 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 4*u = 316, -367 = -3*n - 2*n + 2*u. Calculate the remainder when 419 is divided by 8\/(-10)*n\/(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23155633?\nAnswer: 109, 212437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -2*a - 38. Let u = 23\/2 + -61\/6. Calculate the common denominator of u and 2694\/(-168) + (-4)\/a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3 - d**2 - 3 + (-d**2 + 2 - 2)*(2 + 1 - 2) + 44 + 42 + 18*d**2 - 83.\nAnswer: 16*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -30, -20, -1.\nAnswer: -30, -20, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1133\/1532 - -4\/383. Let -s*o + 3\/4*o**3 + 3\/8*o**2 + 0 - 3\/8*o**4 = 0. What is o?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -100000 (base 2) to base 13\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -q**3 - 12*q**2 + 29*q + 61. What is the remainder when m(-14) is divided by 8 + 4\/10*5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 9*l - 7. Let q = -11 + 14. Let z(a) be the second derivative of 5*a**3\/6 - 2*a**2 - 6*a. Calculate q*i(v) - 5*z(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h + h + h)*(-86*h - 1606*h**2 + 40*h + 46*h).\nAnswer: -6424*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6936204 divided by 22.\nAnswer: -315282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7156039931871 + -7156038226190.95000015. Let p = w + -1705680. Let z = p - 0.05. What is z rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.25 plus 15563?\nAnswer: 15563.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.256 take away 8?\nAnswer: -7.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -65*o. Let n(m) = 11*m**2. What is n(w(t))?\nAnswer: 46475*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 72 = -k, k = -2*x - 0*k + 30. Solve -m = -5*g - x, -m - 9 = 2*m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -17974*b. Let o(d) = 513*d. Calculate 6*g(a) + 209*o(a).\nAnswer: -627*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -24*i**3 - 1257*i**2 + 3*i + 22441703 wrt i?\nAnswer: -72*i**2 - 2514*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((y\/y**(-1\/5))\/y)\/y)\/y**(4\/13)*y\/(y*y**6)*y*y*y\/(y*y**(2\/19)))**(-2\/3))**(-1\/6) assuming y is positive.\nAnswer: y**(-2146\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify y\/(((y*y\/((y*y**7)\/y)*y)\/y)\/y)*y*y**(2\/9)*((y*((((y*(y*y\/(y\/(y**(-7)*y*y)*y))\/y*y*y*y)\/y)\/y)\/y)\/y)\/y)\/y**(2\/7) assuming y is positive.\nAnswer: y**(122\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (937 - 937 + 12*y)*(0 - 3 - 21*y + 3).\nAnswer: -252*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-z**3 + 3*z**3 + 3*z - 14*z + 0*z**3 + 2*z**3 + 0*z**3 + (-2*z**2 - 2 + 2)*(4 + z - 4) + 2 - z**3 - 2)*(-1 - 2 + 2)*(-4 + 2 + 1)*(1 + 4 - 4).\nAnswer: z**3 - 11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t**2 + 5*t + 7. Let n be p(-3). Let z(v) = 1. Let u(o) = 25*o**2 - 3*o - 16. Let b(r) = n*u(r) - 5*z(r). What is the second derivative of b(q) wrt q?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 29*l + 11. Is 37 a factor of t(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -5\/3297 and -32\/5181.\nAnswer: 36267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1857 and 2060651?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -p**2 - 11*p + 16. What is y(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-36)\/10)\/((-2)\/10). Find the third derivative of -21*l**2 - 10*l**2 + q*l**2 + 14*l**5 wrt l.\nAnswer: 840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 14 + 1 + 1 + 32 - 48 - 10*r. Let f(a) = -a + 3. Let t(d) = -8 + 0 + 5*d - d. Let p(b) = -8*f(b) - 3*t(b). Calculate p(u(h)).\nAnswer: 40*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/(-1 + 6\/4). Let c be (10\/(-6) - n)\/(-1). Let h = -0.22825 - -2.22825. What is the nearest to -1 in c, h, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/4)\/(4\/32)*(-333)\/74.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000274 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s be (1 + (-30)\/25)*-4. Factor s*g**2 + 4\/5*g - 8\/5.\nAnswer: 4*(g - 1)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 8, 33, 74, 131, 204, 293, 398?\n\"Answer: 8*x**2 + x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -50106 - -43?\nAnswer: -50083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1)\/2 - (21\/6 - -1). Sort -1, y, 0 in decreasing order.\nAnswer: 0, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 411 + 1?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -6*j + 34. Let k be r(5). Let b be ((-9251)\/(-473))\/(0 - k\/(-3)). Let i = -68\/43 - b. Calculate the common denominator of i and 81\/98.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 8 = -8*a. Let l(b) = 3*b**2 - 2*b + 1. Let n(g) = g**2 - g + 1. Let t(h) = a*n(h) + l(h). What is the derivative of t(p) wrt p?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s**2 - 50452*s - 318175538 = 0. What is s?\nAnswer: -12613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + 4 + 21 + (7 - 15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find t such that 3*t**3 - 84*t**2 + 273*t + 360 = 0.\nAnswer: -1, 5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4\/2 - (-1518)\/6. Suppose -5*n + 3*y = -255, -6*n + 5*y = -n - u. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4920)\/96 - -52)*3\/(138\/(-8))?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7367927km in micrometers?\nAnswer: 736792700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 541962?\nAnswer: 2, 3, 30109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 19368 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(117)*2 + sqrt(117))*4.\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 14*p**2 + 11*p**2 - 17*p**2. Let v(g) = 3*g. What is k(v(f))?\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 7*w + 5. Let u(a) = -13*a - 9. Let s(r) = 7*i(r) + 4*u(r). Determine s(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21 + (32 - 46) + 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-2\/7))**26 assuming m is positive.\nAnswer: m**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 413970209?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 16\/(-12)*((-24)\/572)\/(104\/286)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d + 372*z + 104 = 370*z, -9*d + 6*d + 0*d + 3*z + 150 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 - 27 = -4*y - 3*i, -3*i = y - 19. Suppose -11 + 3 = 4*g. Sort 1, y, g, -1 in increasing order.\nAnswer: g, -1, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 13554 - -1?\nAnswer: 13555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -191477, -191422, -191323, -191174, -190969, -190702, -190367, -189958?\n\"Answer: b**3 + 16*b**2 - 191494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -1 + -91089908797\nAnswer: -91089908798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 227670 bigger than -1015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z be -412*(-2 + 36\/(-16)). Let b be (-3579)\/2 + 16\/8. Let d = z + b. What is the common denominator of d and -15\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1 - ((-66)\/27)\/2. What is the third smallest value in -3, r, 1\/3, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*n - 474 = -47*n - 14*n - 3939 for n.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = 5*q - 0*o - 676, 0 = 2*q + 2*o - 272. Suppose -2*m = m - q. Suppose 5*s - s = m. Calculate the remainder when 30 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -205 (base 16) in base 11?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29 + (9 - 107) + 32.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001534 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34 = 5*h - 26. Let p(f) = -f**3 + 4*f**2 - 2*f - 1. Let q be p(3). Solve -h = 5*c - q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*x**3 + x**5 - 2*x**3 + (2*x**3 - 2*x**4 - 2*x**3)*(2*x - 2 + 2))*(-15 + 3 - 8) - x**5 + 3*x - 3*x.\nAnswer: 59*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 8350133 a multiple of 467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -60*o - 253. Determine u(-3).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33029586?\nAnswer: 2, 3, 229, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -210159570 rounded to the nearest one million?\nAnswer: -210000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 131254330 (base 6) to base 11\nAnswer: 150925a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*j + 10*j = 4*i + 11706, -j = 4*i - 5853. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 4 + 19 = 0. Let y = 2 + p. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4950231?\nAnswer: 3, 11, 13, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -5*b + 3. Let l(g) = 4*g - 2. Suppose 4*a - 2*v - 4 = 0, a - 2 = 4*a - 4*v. Let x(d) = a*f(d) + 3*l(d). Let i(c) = 5*c**2. Give i(x(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = 10623 - 10262. What is the remainder when l is divided by 64?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 8, o: 2, v: 3, c: 1, s: 5}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*d - 6\/11*d**2 + 0 - 2\/11*d**3.\nAnswer: -2*d**2*(d + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1227515 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -248*d**3 - 71*d**2 - 655858 wrt d?\nAnswer: -744*d**2 - 142*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2057726 and 4?\nAnswer: 4115452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0 - -18 - (6 + -3). Suppose -3 = 5*y - z, 3*z = 4*y - 2*z + o. What is the nearest to 1 in -1\/3, -0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s. Let a(d) be the first derivative of -d**3\/3 + 5. Calculate a(f(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18 - 3*c - 35 - c**2 - c + 49 + 4*c.\nAnswer: -c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t + 1274 - 1274. Let q(s) be the third derivative of s**3\/6 + 3*s**2. Let n(g) = -2*g - 2. Let x(o) = -5*n(o) - 10*q(o). Determine j(x(k)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -2033 (base 4) in base 11?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 plus 387825?\nAnswer: 387824.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 264 divided by 88?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1228826441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 840\/(-315)*(-3)\/(-5)*5*1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-16)\/((-1360)\/(-17))*(-60)\/(-12)*-20?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 12 (b) 2\/15 (c) 3\/4 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1\/1 - 28\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6 + -5.97. Suppose -2*t - 3*t = 5. Let r be t\/(-4) - (-3)\/12. Which is greater: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -273*w + 272. Give i(-4).\nAnswer: 1364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 804.3 - 750.3. Let l = 19 + -92. Let t = w + l. Which is greater: -2\/3 or t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 48 - 41. Solve -h*l + 3*l = -12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2b50 (base 13) to base 2.\nAnswer: 1100010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -405805 divided by 81161\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 1318*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 59701 is divided by 1124.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1046547700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -48 + -36 + 172 + -56.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-316)\/395)\/(1\/(-10)) - (3245\/473 - -1)?\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find q such that 2*q**4\/11 - 38*q**3\/11 + 34*q**2\/11 + 38*q\/11 - 36\/11 = 0.\nAnswer: -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 87 + 337. What is the common denominator of ((-2)\/4)\/(72\/a) and -11\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = q**3 + 6*q**2 + 12*q + 1. Let t be p(-4). Does 27 divide (-25)\/t*-3 + 302\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*(v*v**(5\/3)\/v)\/v*v*v\/(v*v**(-2\/11))*(v**(-2))**(-10\/7))**(-1\/2))**34 assuming v is positive.\nAnswer: v**(-22406\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 2280793114?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1860141776 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 186994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3*u - 3*u + 2*u)*(-2*u - u**2 + 2*u) + 10478 - 5907*u**3 - 10478)*(-4 + 6 - 4).\nAnswer: 11818*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) be the third derivative of -7*p**5\/30 - p**4\/24 - p**3\/6 - 25*p**2. Give j(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i + 8. Let o(h) = h - 1. What is -6*o(x) - u(x)?\nAnswer: -5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -640*b + 1140 = -716*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 165 = -0*x + 5*x. Let t = x + -23. What is the units digit of (t + 2)*2\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 18738 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 21*b**2 + 25*b. Let t(u) = -14*u**2 - 17*u. Give -5*l(h) - 7*t(h).\nAnswer: -7*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:17 PM and 5:18 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.6957 - -0.199. Let h = z - 0.0033. Sort h, 0.2, -6 in ascending order.\nAnswer: -6, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -928*b*c*d - 25*b*c + b*d**2 - 27*b*d - 5*b + 315*c wrt d.\nAnswer: -928*b*c + 2*b*d - 27*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1021 or 5?\nAnswer: -1021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 5, 168 in decreasing order.\nAnswer: 168, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4*(-3)\/(-4) - (-58)\/2. Is (n\/(-64))\/((-2)\/580) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 4*w**2 + 4*w - 4. Let f be d(-4). Let t be (116\/6)\/(14\/3 + -4). Let b = f - t. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 - (2 + -4 + -5 - (8 + -12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 200*i*p**2 - 71*i*p + i wrt p.\nAnswer: 400*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -47\/14531 and -107\/13210?\nAnswer: 145310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 0*m**2 + 19*m - m**3 + 13*m - 4*m**4 - 26*m + 2*m**2 in the form f*m**2 + p + c*m**4 + w*m**3 + b*m and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1300417 is divided by 99960?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = 2*w + 6, -5*p = -w + 8 - 2. Which is the closest to -6? (a) w (b) 2\/13 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7519 - 22*x + 7519.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -416 or 891.23?\nAnswer: -416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-5)\/((-5)\/1 + 4). Let r be (-3)\/n - (-61200027)\/45. Round r to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(-1*(-7)\/(-21)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000555505048 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -l**3. Let m = 51 - 51. Let u(w) be the second derivative of 0*w**4 + 0 + 2*w + m*w**3 - 1\/20*w**5 + 0*w**2. Calculate -5*b(f) + 3*u(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, 4, -2\/251, 2, -1\/6 in descending order.\nAnswer: 4, 2, 0.2, -2\/251, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3359*h - 3355*h - 76 = 0. Sort -4, 5, 2, -1, h in descending order.\nAnswer: h, 5, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -17\/8 + 2. Let w(a) = 3*a + 31. Let b be w(-10). Is b at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k - k - 9 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1807.15 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -613566770153+-165\nAnswer: -613566770318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 40211*c**2 + 54415 wrt c.\nAnswer: 80422*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 255.9913 - -0.0087. Let t = -258 + h. Let u = 2 - 3. What is the nearest to -1 in u, t, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7 + 904026*a + 13 - 6.\nAnswer: 904026*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 8, -114, 2, -535.\nAnswer: -535, -114, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5160.5 + -5161. Which is the nearest to v? (a) 1\/5 (b) 19 (c) -2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -97, 5, 1 in decreasing order.\nAnswer: 5, 1, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x be 8*-114*(55\/22 + (-22)\/8). Solve 0 = -87*c + 49*c - x for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -71 + 72. Let w(i) = i + 1. Let h(y) = -6*y + 1. Let k be ((-6)\/(-9))\/(2\/3). Let l(z) = k*h(z) + x*w(z). Calculate l(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5927*o**4*x - 787*o**3*x + o**3 - 8*o**2*x - 50*o**2 - 5528*o*x wrt o?\nAnswer: 142248*o*x - 4722*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1949 + 1993. Let j = 11 - 0. Calculate the least common multiple of j and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 5, -51.\nAnswer: -51, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*(39\/52)\/((-21)\/(-8)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -61 - -148. Let c = -86.99994 + o. Round c to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -183 - 127. Let p = 431 - l. What are the prime factors of p?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 + 70*b**2 - 315\/2*b**4 - 12*b - 49\/2*b**5 - 51*b**3 = 0 for b.\nAnswer: -6, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 1.21 and -5.\nAnswer: -6.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 214.251 kilometers in meters?\nAnswer: 214251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**33)**35 assuming n is positive.\nAnswer: n**1155","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 2\/9 (b) 6 (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -22.46 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1412.7 and -666?\nAnswer: 2078.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/5? (a) 1 (b) -277 (c) -1.2 (d) -1.85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -13*b**3*n**3 - 3*b**3*n**2 + 177*b**2*n**2 - 34*b*n**3 wrt n.\nAnswer: -78*b**3 - 204*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -v**3*w**3 - 793*v**3*w + 674021*v**2*w**5 - 160*v*w**2 + v*w wrt w.\nAnswer: -6*v**3 + 40441260*v**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 134*a - 139*a = -280. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 19148 divided by -4787\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*k - 28*k = 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 86 = -4*h, -2*v + 53 = -5*h + 163. Let n = h - -2. Let g = n - 18. Calculate the greatest common factor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/18 and 65\/634.\nAnswer: 5706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = -32.8373 + -0.0627. Let f = b - -33. Let d = 754\/5 + -150. What is the fourth smallest value in 5, f, d, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -421699\/22 - -19165. What is the common denominator of (5 - (-2 - -5)) + (-44)\/((-149248)\/(-6816)) and h?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*r + 9*r + 4. Let n be (-6)\/(-4)*r - -2. Let i be (12 - 13) + (n - 3). Let a(l) = l. Calculate a(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 742581?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 8.50853 weeks in milliseconds?\nAnswer: 5145958944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 119281*f**5 + 65*f**4 + 7*f**3 - 54174698*f**2 - f - 1 wrt f?\nAnswer: 7156860*f**2 + 1560*f + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -103, -2\/5, -3\/8, -1, 7\/107, 1\/2, -1\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 27*p**3 + p - 2. Let j = -66 + 67. Let x be o(j). Solve -5*c - 3*z = x, 2*c - z = -2 - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -13908 divided by -244\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-20)\/(-12))\/5 + 24\/(-18). Which is smaller: 2\/313 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g + 5*g - 30 = 0. What is the greatest common divisor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 3, f: 1, p: 1}. What is prob of sequence up?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000494037098 to 5 dps.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 17672*m**2 - 1085700*m + 33350625\/2.\nAnswer: (188*m - 5775)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t**3 + 9*t**2 + 6*t - 11. Let l be j(9). Let c = l - 48. Let y(n) = n**3 + 5*n**2 - 5*n - 1. Is y(c) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from {x: 2, j: 2, d: 1, z: 7, i: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-36)\/(-10) - (6 - (-2 + 5))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -5661703 (base 8) to base 16.\nAnswer: -1763c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5732 + 2206822\/385. Let j(g) = g**3 - 7*g**2 - g + 21. Let y be j(7). Let v = y - 15. Which is smaller: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 = -5*b + 22. Let f(s) = b*s + 0*s - 3*s + 0*s. Let p(c) = -3*c**2. What is f(p(o))?\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/14*11*2961\/15510?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7286727 to the nearest integer?\nAnswer: 2699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -2*g - 6. Let w be y(-4). Suppose w*p - 20 = -3*p. Calculate the remainder when 5 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -146 - -144. Let m(t) = -48374*t**3 + 3*t**2 + 5*t + 6. Let b be m(d). What is b rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -5 and -465.\nAnswer: 2325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.2, 2, 65\/8, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*z = 27*z + t - 125942, z - t = -62972. What is z rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 46560 and 21810.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.6 - 0.9. Which is the biggest value? (a) -1\/2 (b) g (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*r = -61*r - 90. Let b(f) = -1. Let w(n) = -7*n - 7. Let t(k) = -14*b(k) + 2*w(k). What is t(r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 206221 is divided by 29450.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 595 a factor of 1537480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2658213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 13864 and 2504.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 43 + 2*j**3 + 2*j + 2*j**3 - 5*j**3 + j**2 as z*j**3 + p*j**2 + g + v*j and give g.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v be 9*((-98)\/(-63))\/(-7). Let p be (v\/1)\/((-3)\/(3 - -33)). Calculate the greatest common divisor of 60 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 831 - 831 - 641*m + 39*m in the form n*m + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the first derivative of o**4\/24 - o**2\/2 - 1. Let v(h) be the second derivative of u(h). Let b(s) = -3*s**2. Give v(b(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 3) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.01 + -10.31. Let d = r + 3.1. What is d rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -l**2 + 12*l - 30. What is the remainder when 18 is divided by f(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i**4\/11 - 218*i**3 + 310814*i**2\/11 + 218*i - 310812\/11 = 0. What is i?\nAnswer: -1317, -1, 1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -7? (a) 2\/3 (b) -3 (c) -15140 (d) 2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**3 - 11*x**2 + 13543*x + 115. Calculate r(-122).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1*5*(1 + 0). Calculate the common denominator of 88\/12 + (-1 - -4) and (15\/6)\/(4\/n).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -16 - 30. Let r = 291.2239 - 337.22476. Let u = m - r. Round u to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -3*d**3 + 2*d**2 + 2*d + 1. Suppose -8 = -k + 5*k. What is o(k)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1387, -2732, -4241, -5998, -8087, -10592, -13597?\nAnswer: -17186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 5.012890202 to 1 decimal place.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8 - -13. Let m(c) = -8*c**2 + 2*c + 6. Let p(k) be the first derivative of 7*k**3\/3 - k**2 - 5*k + 2. Calculate w*m(u) + 6*p(u).\nAnswer: 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 16.19 times -49?\nAnswer: -793.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 2 + (-22 - (-14 - (-2 + -1)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -20 + 42. Calculate the remainder when 26 is divided by (g + 0)\/2 - 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.05 and -0.053.\nAnswer: -0.00265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = -246 + 248. Suppose 4*x + 5*p - 36 = d*p, -5*x - 5*p + 45 = 0. What is the remainder when 13 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*k**2\/5 + 1660*k + 33168\/5.\nAnswer: 2*(k + 4)*(k + 4146)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 88 divide 88880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyycyyyyyyyyyyyyyy?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.3 + -5.3. Let x = s + 4.99. Let y = x - -0.00993. Round y to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00002092 rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3025\/2 - -1513. Which is the closest to 6? (a) -3 (b) -5 (c) 2\/23 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4 (b) 7 (c) 1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 482215807?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*m + 3*m - m)*(3 + 2 - 2) + (-2 - 2 + 1)*(2*m - m + 0*m) - 2 + 2 + m + (3*m - 2*m - 4*m)*(-4 + 0 + 3).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*j**3 - 351*j**2 + 351*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -973674*l**3 + 1947517*l**3 - 973713*l**3.\nAnswer: 130*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*o - 13*o. Let w(y) be the third derivative of 0*y**4 - 4*y**2 - 1\/120*y**5 + o - 1\/240*y**6 + 0*y**3 + 0*y. Let w(r) = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-24)\/(12\/(-798)*7) is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-8)\/(((u**(5\/4)*u)\/u)\/u*u*u))\/((u*(u*(u*u*u**8)\/u)\/u*u)\/(u**(2\/7)*u*u)) assuming u is positive.\nAnswer: u**(-531\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -22 + -156?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 58 and 33.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 0, -7, -16, -27?\n\"Answer: -i**2 - 4*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 29452780 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) be the first derivative of 13*h**5\/5 - 40*h - 14. Differentiate j(r) wrt r.\nAnswer: 52*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 197, 3 in increasing order.\nAnswer: -3, 3, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -67*k = -324 - 212 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 682, 1393, 2102, 2809?\n\"Answer: -u**2 + 714*u - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that b**3\/4 + 331167*b**2\/2 + 1324665*b\/4 + 165583 = 0.\nAnswer: -662332, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (44 + 27 + 51)*(-x**2 + x**2 - 2*x**5 + (x**4 + 5*x**4 - 4*x**4)*(-x + 3 - 3) - 363*x**4 + 3*x**5 + 363*x**4).\nAnswer: -122*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -74, 42406 in ascending order.\nAnswer: -74, 1, 42406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1251883 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6764)\/266)\/((-9)\/(-12)) + (-28)\/294?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -57822697029933 - -0.5.\nAnswer: -57822697029932.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 249*a - 187*a - 135*a - 10.\nAnswer: -73*a - 10","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: What is 2\/7 of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x, 1 u, and 1 f when three letters picked without replacement from uufxxfffxuufu.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -8096*n - 2088808. Calculate f(-258).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 117.8 + -118. What is the second smallest value in 0, 190, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 363592?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = m**3 - 11*m**2 + 296*m + 358. Let h(r) = 2*r**2 - 59*r - 71. Let b(d) = 11*h(d) + 2*l(d). Differentiate b(s) with respect to s.\nAnswer: 6*s**2 - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -157\/420 and -167\/372540.\nAnswer: 372540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 17 and 901.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 54540 is divided by 2272?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*c + 3 + 9 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be -4*(0 + (-4)\/2). Let r(n) = n + 2. Let o be r(g). Calculate the greatest common divisor of 90 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -31 - -33. Let f(s) be the third derivative of 0*s - 1\/15*s**5 - s**q + 1\/3*s**3 + 1\/24*s**4 + 0. Determine f(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -324688.633 rounded to the nearest 100?\nAnswer: -324700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/22 + (-404688537)\/(-1089) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12.79 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -13 by -2086.\nAnswer: 13\/2086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -206 minus -33878?\nAnswer: 33672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -s**3*z**3 + 639*s**3*z + 7789331*s**2*z**4 - 10867*s**2*z wrt z?\nAnswer: -6*s**3*z + 93471972*s**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 365040 and 2088.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 6214, 7, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2)\/(-4)*1*4. Suppose x + 4*g = -x + 4, 4 = 2*x - m*g. Find the first derivative of -4 - 9*h**2 + h**2 + 4*h**x wrt h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) be the third derivative of i**6\/200 + 463*i**5\/300 - 313*i**4\/30 + 314*i**3\/15 + 5*i**2 - 111*i. Find u such that c(u) = 0.\nAnswer: -157, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 30\/4*(-16)\/(-20). Let u(r) = 3*r - 4. Let x(j) = -2*j + 5. Let f(l) = 3*u(l) + 4*x(l). Let g be f(h). Solve -5*v - 3*a = 16, -5*a - g + 0 = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1674 + 1673. Let n be (2\/(-24))\/(15\/4). Let f = n - -2\/9. Which is the nearest to t? (a) 1 (b) -2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -18 - -30. Let n = 69 + -62. Calculate the remainder when k is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 536117 is divided by 851?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (-246)\/(-41) - (-184)\/(-30)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 86*o = 16*o + 1813 + 917 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -33603, -35358, -40123, -49404, -64707, -87538, -119403?\nAnswer: -161808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-952))\/(27\/1134).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 116818 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (8 - 0) + -96 + 93?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o - 26 = 4*l, 1492*o - 33 = 1490*o + 5*l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -200*w + 824. Give r(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + (5 - 14 - -3) + 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eleeeleeeeleeeee. Give prob of picking 2 e and 2 l.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 21800*g - 21800*g - 255*g**4 + 18*g**6 - 5346*g**2 wrt g.\nAnswer: 2160*g**3 - 6120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/2 and -3 + 44\/24*-10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 314 - 309. Calculate the highest common divisor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-52)\/(-30) + (85\/(-25) - -3). Which is the closest to 2? (a) 2\/11 (b) -5 (c) k (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = c + j + 60, -5*c - 60 = -j. Does 13 divide (52\/c)\/((-1)\/117)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -156*w + 79*w - 50 = 3*f - 76*w, -77*f - 4*w = 1305 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -31 (base 16) to base 13\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -315 at least -317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9814, -9780, -9746, -9712, -9678?\nAnswer: -9644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 165 minutes before 9:06 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -552.43801 to 1 decimal place.\nAnswer: -552.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.9 - 4.1. Let p = n + 3. Put -3\/5, 3, p in decreasing order.\nAnswer: 3, p, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 525, 531, 537, 543?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 160.0021 millennia?\nAnswer: 160002.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1034 (base 5) in base 10?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -2029789 (base 10) to base 9.\nAnswer: -3733311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -244 divided by 401\nAnswer: -244\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*x**2 + 90*x + 312.\nAnswer: 3*(x + 4)*(x + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0017316 to 4 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 5*z**2. Let c(j) = 39*j**2 + 26. Determine c(o(b)).\nAnswer: 975*b**4 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 1 = 5. Let c = -1 + u. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33 divided by -13749?\nAnswer: -11\/4583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8382\/(-2145)*5\/(-2) - 10.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, 3, 20, -7 in increasing order.\nAnswer: -7, 0.2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4f + -4e6f9?\nAnswer: -4e748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0332871 rounded to 3 dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10 + -2212202?\nAnswer: -2212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 32865309 divided by -9?\nAnswer: -3651701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -0.4026233 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -3*x + 1. Let h(w) = 7*w**2 - 2*w + 1. Let s be h(1). Let t be (-11)\/3 + s\/9. What is the units digit of r(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 337487 is divided by 2814?\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -6*q**2 - 5*q - 7. Let s be (-3)\/12 + (-60)\/(-48). Let l(m) = -m**2 - m - 1. What is s*j(p) - 5*l(p)?\nAnswer: -p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 3638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1702 + 1720. What is the highest common factor of 603 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*p = -4 + 24. Suppose 2*c**3 + 0*c**3 + 0*c + p*c - 4*c**2 = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 8*h**2 - 2*h + 2. Let q = 97 + -163. Let x(p) = 129*p**2 - 33*p + 33. What is q*k(u) + 4*x(u)?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -722770*a**2 - 762686*a**2 + 452112*a**2.\nAnswer: -1033344*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 9\/7*s + 1\/7*s**2 - 90\/7.\nAnswer: (s - 6)*(s + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 21876*y**4 + 394288*y**3\/3 + 110420*y**2 + 2600*y\/3 = 0. Calculate y.\nAnswer: -5, -1, -130\/16407, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 372, 411, 456, 507?\n\"Answer: 3*j**2 + 30*j + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**3 + 9*u**2 - 2*u - 42. Let v be g(8). Let a(i) = -i**2 - i + 48. Let t be a(0). What is the highest common factor of v and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4501608 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2*k**3 + 2)*(3*k + k - 3*k)*(9*k + 1 - 1) + 7*k**5 + 5*k - 5*k.\nAnswer: 25*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3331562178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -2454, -4903, -7346, -9783, -12214?\n\"Answer: 3*v**2 - 2458*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 138 and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*w - 89 = 109685*z - 109680*z, -3*z = 5*w - z + 70 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 51796\/5 equal to 10360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.69 (b) 3 (c) 9 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -496\/1589 + 6\/227. Which is the closest to z? (a) -12\/7 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 89\/4 - 45\/2. Let x = 1 - -3. Let i = -5 - -6. Which is the closest to p? (a) x (b) i (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 675286 and 1414?\nAnswer: 4727002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 238, 238, 228, 202, 154, 78?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 133\/60 and 7\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - a**2)*(81 + 23*a - 81).\nAnswer: -23*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 16? (a) 5 (b) -1 (c) 5\/2 (d) -19.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 2*g**3 - 41*g**2 + 22*g - 238. Determine o(20).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 246234 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -110*h - 592. Calculate q(-5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 113539*v**4*z**3 - 14*v**4*z**2 - 2*v**2*z**3 + 48*v**2*z**2 + 5*v**2*z + 2*v*z**3 + 7458 wrt v.\nAnswer: 2724936*v*z**3 - 336*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2\/(-152)*6)\/(6\/(-8)). Let g = 2 + -3. Which is the second biggest value? (a) g (b) v (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 2, f: 4, p: 6, t: 1, n: 1, q: 1}. What is prob of picking 1 e and 1 p?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -432?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*c**5 + 4*c**2*l - 21*c**2 + 28*c*l + 2*c - 7*l wrt c.\nAnswer: 40*c**3 + 8*l - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 385 minutes before 8:20 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + -6 + (58 - -6) + -16.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.081 and 300.3.\nAnswer: 300.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b = b. Suppose 2*c - 4*c + 8 = b. Suppose h = -3*a + 42, c*a + 5 = -a. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22 - 2*p**2 - 24 + 9723*p + 46 + 2*p**3.\nAnswer: 2*p**3 - 2*p**2 + 9723*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 42\/5 of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 6461380, 12922762, 19384144, 25845526?\n\"Answer: 6461382*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1 - (-4)\/8*4. What is the closest to -0.1 in t, -2\/15, 1\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = q**2 - 10*q + 6. Let y be h(8). Let a be (12\/(-7))\/(y\/105). What is the greatest common divisor of 12 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 131*s - 131*s - 9808*s**3 - 1286*s**3 - 7986*s**3.\nAnswer: -19080*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.53 in -221, -1\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1.9, 1\/4, 0.7, 0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/369803 and -74\/45168795.\nAnswer: 316181565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -2*v - m - 0, -3*v - 2 = -m. Let q be v\/(22\/(-4))*1. Let t be 2\/20*(-225)\/30. Which is the second smallest value? (a) -2 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 71\/((-9)\/(-27) + (-24)\/99)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + sqrt(11))**2*-4 - (sqrt(99) + -2)) + (4*(sqrt(99) - (sqrt(99) - -2*sqrt(99))))\/(1*(sqrt(225) + sqrt(9))).\nAnswer: -42 - 13*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6 - -14. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 977460 and 15106200?\nAnswer: 166168200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 3*p**3 - 2*p**2 + 4*p - 5. Let r(h) = 2*h**3 - 2*h**2 + 3*h - 4. Let a be 2\/(-4) - (-27)\/(-6). What is a*r(f) + 4*k(f)?\nAnswer: 2*f**3 + 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 2, 37, 5 in descending order.\nAnswer: 37, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -2*p**2 + 7*p - 7. Let t be x(2). Let i be 2 + (-4 + 6)*t. Is i greater than 1\/122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-6)\/q*q)\/(q\/(q*q*q\/(q**(-10)*q)*q)*q)*(q*q**(-7)*q*q)\/q**(-2) assuming q is positive.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 412826684*s**3 - 6509*s**2 - 14605*s wrt s.\nAnswer: 2476960104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 381, 38699, -2 in ascending order.\nAnswer: -2, 381, 38699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + z + 1287 = 0, -2*z + 2280 = 4*h - 2856. List the prime factors of h.\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4 - -20. Solve 3*v = -v - 3*y + 4, t = 4*y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -27712 - -1413310\/51. Which is the fourth smallest value? (a) -1\/9 (b) k (c) -1 (d) 15 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 150*p + 68 - 77*p - 75*p + 4*p + 3*p - 5*p + (0 + 4 - 2)*(p - 3*p + 4*p).\nAnswer: 4*p + 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 4*x + 21 = 0. Suppose -a = 3*j - 14, 0 = -2*a - 0*a + 4. Solve 6*q + 2*f - x = q, -j*q + 24 = -3*f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*-6*(sqrt(34) - (sqrt(544) + sqrt(34))*-2 - (sqrt(170)\/sqrt(5) + sqrt(34))*3)\/(sqrt(242) + -4*1*sqrt(242) - sqrt(242)).\nAnswer: -15*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b - 5. Suppose -3*k = 31 - 7. Let v be y(k). Suppose -s = j - 11, -4*j - 51 = -v*s - 11. Calculate the least common multiple of 22 and s.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 814 and 8129902?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 5*m = 2*p - 16, -3*m - 5*p + 32 = 0. Suppose -m*k - 6 = -2*k. Let u(v) = v + 2. Let r(w) = -7*w - 6. Let o(t) = -r(t) - 4*u(t). Give o(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*l + 14*l - 62*l**2 + 4*l + 148*l**2 to c + t*l + n*l**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 15, i: 3}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 1167, 2332, 3497, 4662, 5827, 6992?\n\"Answer: 1165*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2086886 + 2086877.000008. Let c = 1 + 8. Let a = c + m. Round a to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-10) - (-63)\/15)*((-23265)\/(-1155))\/141.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*j + 73 - 87. Let k(c) = -c**3 + c. What is k(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1946 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 3*b - 5*b. Let d = 42 - b. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = 4*s - 70, -s + 58 = 4*g + 18. Let n be (4\/8)\/((-6)\/(-57060)). Let v = 95189\/20 - n. Calculate the common denominator of v and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -4, -3, -140 in decreasing order.\nAnswer: 0, -3, -4, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9620982.\nAnswer: 2, 3, 7, 29, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - o = 16, -2*o - 1 = -9. Put 47, s, 4 in ascending order.\nAnswer: s, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3546 and 822278.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 260877055 to the power of 1\/2, to the nearest integer?\nAnswer: 16152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/2 - (-3)\/(-2). Let x = 69.39 + 0.61. Let g = -70 + x. What is the closest to d in -0.3, 1\/3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1*2*60\/(-6). Suppose -s + r = s. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -161, -163, -143, -89, 11, 169?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*f - 48*z = -51*z - 17, -3*z = -2*f + 37 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q be (3\/(-1) + 4)*-1*-49. Suppose -q*n = -11*n - 1938. What is the remainder when 139 is divided by n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 410 + -412. Which is smaller: z or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -87, -121, -159, -201, -247, -297, -351?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.405296 litres?\nAnswer: 405.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 552739292 divided by 17.\nAnswer: 32514076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(0 + sqrt(637)) - (-5 + sqrt(325) + 2).\nAnswer: 3 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d + 4 = 0, d = 5*y - 7*y + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 764? (a) -1 (b) 9\/7 (c) -0.26 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3578571 is divided by 2641.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (279*u + 601*u + 20*u**2 - 17*u**2)*(-u + 3*u - u) in the form g*u**2 + z*u + y + f*u**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 659730 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide 8524 by 4.\nAnswer: 2131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -30257\/5605 + -2\/1121. What is the common denominator of s and (-2)\/(-8) + (-25)\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3630220501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(3\/2)*((c\/((c**(-2\/9)*c)\/c))\/c)\/c)\/(c\/(((c*c*c*c\/c**12*c)\/c*c)\/c*c)*c*c**15\/c*c) assuming c is positive.\nAnswer: c**(-419\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a**3 - 10*a**2 - 40*a + 4. Calculate f(-4).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1498942 and 720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 5*l = 9120, 0 = 4*m + 7*l - 6*l - 36480. What is the thousands digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.1 and -7024.498.\nAnswer: 702.4498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 506 is divided by 102.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = j**3 - 2*j**2 + 2*j + 4. What are the prime factors of u(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -52920 divided by 1512?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 37*a**2*r**3 + 10*a**2*r**2 + 94*a**2*r + 11*a*r**3 + 15*a*r**2 - 304*r**3 - 3 wrt r?\nAnswer: 222*a**2 + 66*a - 1824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -28601695\/3 + 142751056922\/14973. Let b = i + -6\/161. Are 1 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 45240 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 8, -1\/2, 1\/3, -8\/5, 2.24, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -121 divided by -3?\nAnswer: 121\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = 27 + -23. Solve -q = l*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -46*v + 92*v - 41*v - 4*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**2 - s - 6. Let q be z(0). Let w be -1*q\/(0 - -3). Suppose 185 = 3*d + w*d. Calculate the remainder when d is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 - 12. Is -8 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4 or -474637?\nAnswer: -474637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2 + 20 + (-9)\/((-45)\/(-10)). Which is greater: 23 or i?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.55956566 rounded to two decimal places?\nAnswer: 3.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 825, 842, 857, 858, 833, 770, 657?\n\"Answer: -2*m**3 + 11*m**2 - 2*m + 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10\/15)\/(4\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -7 - 3 - (37 - 53)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 73 - t**3 - 179 - 159049*t + 159049*t + 106.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 21350137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y**3 + 0*y**3 + 0*y**3)*(-18*y - 4*y**2 + 18*y) - 2186*y**5 - 1484179*y**4 + 1484179*y**4.\nAnswer: -2178*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 77220 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find u such that -70*u**3 + 818*u**2 - 536*u + 88 = 0.\nAnswer: 2\/7, 2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h**2 + 10*h + 10. Let j(r) = 1. Let n(u) = c(u) - 4*j(u). Let g be n(-10). Calculate the highest common factor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -3, -7\/331, 0.01, 2, 0.2, 2\/5, -1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-81)\/((-17010)\/924) + (-14413)\/145.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(500) - 1*sqrt(500))**2 + sqrt(500) + sqrt(180) + 1.\nAnswer: 1 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 628 is divided by 586?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the second derivative of w**9\/1008 - w**6\/72 - w**3 - 7*w. Let o(k) be the second derivative of u(k). Find the third derivative of o(p) wrt p.\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*m - 15*m = -6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 2*k - 23 = -k, -9 = -3*k. Let i(h) = -h**3 + 6*h**2 + 9*h. Determine i(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 6*r**3 + 5 - 5.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -10*v + v - 3 + 0*v + 7. List the prime factors of m(-6).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (l - 3*l + 4*l)*(-5*l - 9*l + 6*l).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-h**3 + 2*h**4 + h**3)*(143 - 143 - 100*h)*(0 - 2 + 4).\nAnswer: -400*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = 457 + -221. Let l = 215.54 - k. What is l rounded to zero dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 2*i**2 + i - 3. Suppose -3*t + 1 = -473. Suppose 5*l - v = 2*v + t, 0 = 2*l + 2*v - 76. Calculate the remainder when l is divided by m(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.076 + 0.024. Which is the fourth biggest value? (a) -3 (b) 7 (c) l (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -7*u**2 + 320*u + 35897. Calculate d(98).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(13) - sqrt(832)) + sqrt(13)*5*4)*6.\nAnswer: 204*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 58*i**3 - 57*i**3 + 1 - 2*i**2 + 1 + 6*i - 17*i to p + h*i**3 + s*i**2 + c*i and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4615?\nAnswer: 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 303210 and 945.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6445\/7 + 921. Which is the nearest to 13? (a) -2\/15 (b) -2 (c) -1\/3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w**2 + 3*w - 4. Let z be ((-13)\/3)\/((-13)\/39). Suppose -4*b + 8 = -5*i, 4*b = i + 7*b + z. Calculate r(i).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/6, -1, 0, -3\/7, 0.9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-18)\/30*(-5)\/2 - 1. Are 1.44 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 9072, 17607, 26142?\n\"Answer: 8535*l + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-27 + 35 + 30)*(2011 - 659 - 410 - r) as i*r + q and give i.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 72 and 360?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 10594*o**3 - 8238*o.\nAnswer: 63564*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**3 + 8*x**2 + 5*x - 51. What is r(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 521716 to the power of 1\/2, to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 195 a factor of 326868323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 65932*x**2 - 2*x + 13677?\nAnswer: 131864*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.04? (a) -2\/959 (b) -26 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 11, -50, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(91) - ((sqrt(91) - (sqrt(91) - -1*sqrt(91))*-6) + sqrt(91)))\/sqrt(7).\nAnswer: -13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6807\/5 - -1362. Put -0.3, z, 3 in descending order.\nAnswer: 3, z, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2195 + 1483 = 112*w + 2872 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 5*h + 3*z, -3*h - 6*z + z + 2 = 0. Put -4, h, -0.3, 0.1 in descending order.\nAnswer: 0.1, -0.3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + g = 3, 2*x + 15*g + 7 = 14*g. Let z = 17 + -15. What is the nearest to x in -0.3, z, -2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.1 + 0. Let b = 1655 + -49681\/30. Let c = b + 6\/5. What is the third smallest value in c, -2\/3, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(1\/3)*f**(-2\/3))**(3\/26) assuming f is positive.\nAnswer: f**(-1\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -l**2 - 20*l + 6. Let s be h(-18). Let w = s + 30. Is 23 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6.5 - 1.5. Let a = 30758 - 30758.04. What is the third smallest value in a, 0, 0.8, v?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 21 + -21. Suppose m = y + 8 - 26. Suppose d - y - 20 = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that -2*m**3\/9 - 472*m**2\/9 + 342578*m\/9 + 343048\/9 = 0.\nAnswer: -548, -1, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -2*q**2 - 160*q - 3318. What is r(-25)?\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -70511.4857 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -14*f**3 - f**2 - 2*f + 6. Suppose 0 = 5*r - 11 + 1. Let q be x(r). Let u be (q\/(-8))\/(12\/48). Calculate the highest common divisor of 38 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3128\/1955)\/((-1)\/(15\/(-12))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -9.2 + 7.2. Suppose 6 = -0*w - 2*w. Let y(m) = -m**3 - 4*m**2 - 4*m + 1. Let l be y(w). Put d, -0.04, l in descending order.\nAnswer: l, -0.04, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-290)\/(-4) + (-6)\/12. Let v be (-16)\/s + 2\/9. Solve -3*y + 4 = 19, -2*a - y - 13 = v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.239 + -12.939. Let f = -12.1 - z. What is the third biggest value in -2\/3, -3, 1\/5, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve -308 = 32*b + 45*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2*(-1 + 14\/4). Let c = 25 + -60. Let m = c - -51. Solve -n*s = -6*z + 3*z - 12, 2*s + 4*z + m = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1887 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -139 - -150. Suppose -l + 22 = -4*r, 8*l - 2*r = 3*l + 20. Suppose 0 = 3*m - 12, -l*s + 2*m + 2 = 4. Calculate the smallest common multiple of o and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 57, 0, -184.\nAnswer: -184, 0, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2463265.\nAnswer: 5, 7, 70379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -83\/22620 and -77\/20358.\nAnswer: 203580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1\/(-6))\/(-1) + (-9680)\/(-96). Let m = 167 - f. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -7*n + 2*n**3 + n**2 - 4*n**2 + n + 4*n - 7. Suppose s - 5*s = 2*m - 6, 9 = -3*m. What is the units digit of c(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -13 + 18. Suppose -5*w - 12 = -2*w. Sort i, w, -5 in increasing order.\nAnswer: -5, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 13 - 5. Let p(h) = h**3 - 2*h - 2*h**2 + 0*h + h**2 - g - 5*h. What are the prime factors of p(5)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23245 - -8251?\nAnswer: -14994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -503 + 5?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d, 1 u, and 2 r when four letters picked without replacement from {r: 3, u: 2, w: 1, d: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find n such that 4*n**5\/5 + 432*n**4\/5 + 4052*n**3\/5 + 13096*n**2\/5 + 15744*n\/5 + 6272\/5 = 0.\nAnswer: -98, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 4575299473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 264 divided by 11?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*s - b - 12 + 3, 13 = 3*s - b. Suppose -s*u - l - 4*l + 39 = 0, 33 = 3*u + 5*l. Differentiate u - 2*p + p + 4*p + 6*p wrt p.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.07495878 and 0.1.\nAnswer: -0.007495878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 17 - 834?\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14479221.\nAnswer: 3, 4826407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 5*o - 16. Calculate n(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -244 + 541 + 12*z**3 - 297.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 2 take away 4360593924?\nAnswer: -4360593922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -41 + 41 - 2*u**2 + 2*u**2 + 2*u**2 - 2*u**2 + (2*u - 2*u - 2*u**2)*(0 - 3 + 5) - 4 + 4 - 2*u**2 - u**2 - 4*u**2 + 2*u**2 - 2*u**2 + 4*u**2 - u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -19\/33 and -55\/39.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 3*h = -4*h + 14, 22 = y + 5*h. Is 12 a factor of y\/(-5) - (-207)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = z - 12. Suppose 3 = -3*g + 21. Let b be y(g). Let a = -1 - b. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 729372724?\nAnswer: 2, 182343181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -7 + (-12 - (-12 - 13))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (((31320\/(-96))\/(-29))\/((-10)\/(-48)))\/(2\/2)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14563130 divided by -2912626.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*p - 19 - 9. Suppose -2*j + p*j - 3*v - 19 = 0, -4*j + 2 = 2*v. Suppose j*f + 3 - 23 = 0. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31403 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = w**3 - 4*w**2 - 9*w - 4. Let g(k) = -k**3 + 3*k**2 + 8*k + 4. Let u(b) = 6*g(b) + 5*o(b). Let j be u(-3). Solve -12 = -n + j*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*u + 8*u + 136 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -0.4 at least 0.087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*r - 2*r - 1440 = 0. Let n be 1*40\/r + 2\/(-4). Put 0.5, n, 6, 0 in ascending order.\nAnswer: 0, n, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.5, 40.5381, 4?\nAnswer: 40.5381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 4*f + 2. Let i be -1 - 106\/(-10) - (-102)\/(-170). Let t be 5 - i\/(-2)*-2 - -9. Give o(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and 20.82.\nAnswer: 4.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5711\/4158 - 37\/54. What is the common denominator of 18\/121 and l?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 83742 is divided by 7255?\nAnswer: 3937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1721, 3443, 5165, 6887, 8609?\nAnswer: 10331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000871793 to six dps.\nAnswer: -0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jjh when three letters picked without replacement from hhjjxhj.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 3032*i + 6066. What is j(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in 108, -2\/9, -3\/22?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-1)\/(-3))\/((-11)\/(-1650)) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -r + 6*q = 4*q - 8, 2*r - 7*q - 25 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -81417, -651539, -2199007, -5212491, -10180661, -17592187?\nAnswer: -27935739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be 54 + 1 + 0\/(10 + -4). Suppose 101*f = 106*f - a. What is the greatest common divisor of 473 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1004*g + 66752 = -249*g + 215*g + 8624 for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*m - m - 608 - 234 - 217.\nAnswer: -m - 1059","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2 - 1.5. Let g = -7.6 + 7. Let i = 3.6 + g. Put -2\/3, i, a in decreasing order.\nAnswer: i, a, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 25, 96, 229, 436, 729, 1120, 1621?\nAnswer: 2244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c + 15. Let u(q) = -q. Give n(u(l)).\nAnswer: l + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 23.77985 millennia?\nAnswer: 285358.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:05 AM and 11:11 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the third derivative of 3*z**4\/8 + 19*z**3\/6 - 5*z**2. Find the first derivative of l(b) wrt b.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bbllblbbbbyybylbbbyb. Give prob of picking 3 b.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 10001 (base 2) to base 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -5 (b) 27 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, 103, -4, -3\/7 in ascending order.\nAnswer: -4, -3\/7, 0.3, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = i**3 - i**2 - 3*i - 3. Let g be -6 + 4 - (-15)\/(0 + 3). Give j(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 556655181.\nAnswer: 3, 185551727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 265064445 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2.8, -320, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q + 21 = 5*d, -19*q + 78 = 2657*d - 2655*d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from totottttot.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 4*c = -0*c + 45, -3*y + 3*c - 90 = 0. Let f = 26 - y. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2\/77, 3\/4, 0.4, 2\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/u**(-2\/21))\/u*u*u*u**1)\/(u*u\/(u*(u*u\/(u**(2\/5)*u*u))\/u)*u*u*u**(-1\/2)) assuming u is positive.\nAnswer: u**(-169\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -1006232 (base 8) to base 14.\nAnswer: -6c9d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -328*k + 300*k + 56 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-8)\/(-3) - (-4)\/(-6). Suppose c*r + 2*r = 128. Is -1 - 0 - (0 - r) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3.09 + 3. Let p = -0.107 - w. Let y = 0.02 + p. Round y to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-75 + 70)\/(5\/(-3)). What is the smallest value in 0.9, -1.9, m?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1786)\/658)\/((-1)\/(-28)*4).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -21 - 2010021200001201?\nAnswer: -2010021200001222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 94188918 to the nearest integer?\nAnswer: 9705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = 256270.083 - 256103. Round f to 0 decimal places.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*m**3 + 8*m**2 - 12*m**3 + m**3.\nAnswer: -9*m**3 + 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = -11236 - -11245. Suppose 0 = 6*u - 2*u + 8. Let d = 11 + u. What is the greatest common divisor of d and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (194\/16)\/(-4*(-1309)\/(-136)) and -25\/308?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is k in -15*k**4 + 44950*k**3 + 1272220*k**2 - 5627800*k + 5807360 = 0?\nAnswer: -32, 2, 9074\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -9280 by 5.\nAnswer: -1856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 200*l - 173*l - 126 = -3*y, -2*l - 4*y + 32 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*o - 25 = -o. Let k = 0.08 + -3.08. Let w = -2 - k. Which is the biggest value? (a) o (b) 7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = u**3 - u**2 + u + 143. Calculate the remainder when i(0) is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y\/((y\/y**5)\/y*y))\/y)\/((y**(-1\/7)*y)\/y)*(y**1)**(-1\/34))**(5\/13) assuming y is positive.\nAnswer: y**(4895\/3094)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**3\/3 + 2309*b**2\/3 - 2308*b\/3.\nAnswer: -b*(b - 2308)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 7*l = 12. Let q = l - 3. Put q, -1\/4, 5 in ascending order.\nAnswer: -1\/4, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in -0.2, 0.1, 38, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 22.4 and 0.0495.\nAnswer: 1.1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -23 - -1 - (-305 + 293) - (2 + 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o - 3*o = 9. Let w(f) = f**3 - f**2 - 3*f - 3. Let k be w(o). Solve -k = 2*t - 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jzj. Give prob of sequence jj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 14773 (base 10) to base 2\nAnswer: 11100110110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = p**3 + 18*p**2 - 18*p + 17. Calculate b(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be 11\/((-22)\/18) + 35. Let b = 307 + -203. What is the greatest common factor of m and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1 - 1. Let b be ((-27)\/114*-4)\/((-1010)\/(-9595)). Solve i = b*a + 14 + 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ojooojooxojjjoojx. What is prob of picking 2 o?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 176620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 5 - 33*t - 36*t + 64*t as m + z*t and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q + 87 = -2*g + 96, 0 = 6*q + g + 18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the second derivative of -43*f**4\/6 + 16*f**2 + 98*f. What is the derivative of y(o) wrt o?\nAnswer: -172*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/((-2)\/(-1))*18\/(-63).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (384 + 1457*z - 2916*z + 1460*z)*(-z + 0 - 2 + 0) as x*z**2 + k + g*z and give g.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -458597\/2 > -229300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 210 and 765660?\nAnswer: 765660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3.92 + -0.28. Let n = z + 4. Which is the third smallest value? (a) n (b) -4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 75 - 40. Suppose -5*t - 4*o = -11, -3*t - 6*o = -2*o - 5. Suppose t*p - 44 = -17. What is the remainder when q is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20 - 10 - (-3 + (0 - -6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:58 AM and 3:00 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1347627, -1347614, -1347601?\nAnswer: -1347588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 185 minutes after 11:50 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2964542, -2964547, -2964552, -2964557, -2964562, -2964567?\nAnswer: -2964572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3709 in -0.3, 1, -69?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Factor -8450*u**3 - 18720*u**2\/7 - 534*u\/7 - 4\/7.\nAnswer: -2*(7*u + 2)*(65*u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 25367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) be the second derivative of -u**6\/15 - 34*u**5\/5 + 1003*u**2 + 2*u - 833. Differentiate t(c) with respect to c.\nAnswer: -8*c**3 - 408*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 436.8957 to zero dps.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 8) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1060 = -h - 1059. Sort 3, -4, h, -5 in ascending order.\nAnswer: -5, -4, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1 - ((-10)\/(-6) + -3). Let d = 0.34 - 0.3. Let z = -3.04 + d. Which is the third biggest value? (a) z (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2000.55483 rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*p + 3*p - p)*(-2*p + 5*p - p) - 183*p**2 - 42*p - 54*p**2 + 40*p.\nAnswer: -233*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -147, -299, -459, -627?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 584223441?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the second derivative of -3*d**5\/20 - 3*d**4\/2 + 18*d**3 - 60*d**2 - 68*d + 1. Factor b(l).\nAnswer: -3*(l - 2)**2*(l + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -2*m**2 + 56. Suppose -5*x + 1169 = 3*h + 88, 2*h + 2*x - 714 = 0. Let u(k) = -h*k + k**2 + 352*k. What is u(r(i))?\nAnswer: 4*i**4 - 224*i**2 + 3136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 244889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-744)\/(-42) + 4\/14. Suppose 4*m = 7*m + b. List the prime factors of (4\/m)\/(6\/(-72)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -45 - -53. Let s be (1 - -3) + -2 + w. Is (561\/(-55))\/((-2)\/s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.8, -0.1, -2363 in descending order.\nAnswer: 0.8, -0.1, -2363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6908.\nAnswer: 2, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -957, 0, 1, 5 in increasing order.\nAnswer: -957, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*v**2 + 2073 - 2073.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -296*f**2 - f - 4. Let v(p) = 6*p**2. Give d(v(z)).\nAnswer: -10656*z**4 - 6*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (-379*c - 724*c - 178*c)*(4 + 1 - 6)*(-2*c + 0*c + 4*c + 1) in the form b*c + l*c**2 + d and give b.\nAnswer: 1281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 3*v**3 - v + 3 + 9*v - 13*v**2 + 29*v**2 - 11*v**2 in the form r*v + h*v**3 + w*v**2 + s and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001034948 to six dps.\nAnswer: -0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u**3 + 7*u**2 - 7*u + 11. Let r be s(-8). Put r, -4, 1\/5 in descending order.\nAnswer: r, 1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 27 + -24. What is the remainder when 68 is divided by ((-44 + 2)\/b)\/((-4)\/10)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -2\/11 (b) 22 (c) -2\/13 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -109*r**2 + 6*r + 6. Let i(d) = -14605*d**2 + 805*d + 805. Calculate -6*i(h) + 805*m(h).\nAnswer: -115*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-nine fifths of a decade in years?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1345232 decades in centuries?\nAnswer: 0.01345232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1809 and 335?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 560 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let -14*c**4 + 8808*c**3 + 25746*c**2 - 294092*c - 265440 = 0. What is c?\nAnswer: -7, -6\/7, 5, 632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = 27 + -17. Suppose -3*j = -j - t. Solve 5 = -5*o, -5*v + 4 = o - j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2 - 3. Let y be (-7)\/(-2)*(-52)\/(-91). Suppose 11*j - 13*j = z - 1, -2*z + y*j - 16 = 0. Which is the closest to -1? (a) z (b) -6 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 2*o**2 + 2*o + 2. Let k be f(-2). Let w(g) = 2*g - 1. Let d(y) = 2*y - 1. Let i = 989 - 994. Give i*d(m) + k*w(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 6*m**3 + 4*m - m**2 - m + 2*m**2 - 4. Suppose -3*x - 32 = 5*j, -188*j = -3*x - 186*j - 4. Let a(s) = 7*s**3 + 2*s**2 + 4*s - 5. Give x*f(t) + 3*a(t).\nAnswer: -3*t**3 + 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the second derivative of -56*u**5\/5 - 319*u**3\/6 + 409*u. What is the second derivative of z(l) wrt l?\nAnswer: -1344*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (4\/24)\/((-17)\/68). Suppose -n = -3*g + 4*n + 20, -5*n = -4*g + 20. Which is the nearest to g? (a) -1 (b) r (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10905?\nAnswer: 3, 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - 6 - (-17 - (-26 + (-4 - -13)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be (498691\/3)\/((-2)\/6). Suppose -554*o + 552*o = 657382. Let m = q - o. What is m rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 26 + 11\/22*-38 - (651\/13)\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 85 - 41. Find the second derivative of 6*f**2 - 31*f - 11 + x*f + 11 wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-96)\/(-44) - 4\/22)*-4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-3)\/(-4))\/((-2)\/8). Let k(z) = z**3 + 4*z**2 + 1. Let j be k(-4). Put b, j, -1 in descending order.\nAnswer: j, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 8\/2 + 0 + -1. Suppose 2*m = -2*n - 79 - 205, 0 = m - r*n + 142. Let d = -60 - m. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1485382.7 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1890 - -2837. What are the prime factors of y?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5820489 is divided by 130?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 4 + 0 = -2*p, 3*p + 2*u = -1. Suppose 0 = 4*y - y + z - 339, -4*y - 5*z = -463. Is y\/4 + (p - -2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*f**6 + 6*f**5 - 254*f**2 wrt f.\nAnswer: -240*f**3 + 360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 206 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 3*t - 5 + 5. Let v(p) = 5*p**2 - 7*p**2 + 3*p**2. Give v(f(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 2*u + 54*x - 51*x, u - 9 = 2*x. Put -1, 257, 5, u, 1 in decreasing order.\nAnswer: 257, 5, u, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -17.3 + -27.7. Let h = -13 - -57. Let x = c + h. What is the nearest to -0.2 in -0.4, -3, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1111 a factor of 103989600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -15 + (0 - 18 - -67) + 0 + -11\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 60 = -i + 3*m, 3*i + 5*m - 60 = 0. Suppose -o + i = o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) be the third derivative of -b**3 - b**2 + 1\/8*b**4 + 0*b + 0. Let n(u) = 9*u - 17. Determine 6*n(v) - 17*t(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-n**2 + n**2 + 3*n**2)*(31 - 55 + 38).\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (3125\/360)\/(-25) + (-10)\/(-45)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - c = 18 + 6, 3*c - 6 = 0. Let w = i - -32. Let m = 22 - w. Which is bigger: m or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.11889 rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 400480 is divided by 972?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1426.\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(171) + -2 + -1) - (-5 + (-2*sqrt(171) + -5)**2).\nAnswer: -698 - 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 53*c - 8703. Determine b(164).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 184408 and 75116?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 244254 is divided by 756?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 141399785143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = -d - 3*q, -3*d = 2*d - 2*q - 6. Suppose 5*j = 4*n - 68, 5*n - j - 64 = -d*n. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 1, 1193, 0 in ascending order.\nAnswer: 0, 1, 5, 1193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 + 1)*(-b + b + b) + 0*b - 5*b + 3*b - 3*b - b + 2*b - 4*b - b - 2*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 47780 divided by -5\nAnswer: -9556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 100*a**2 + 705*a - 805.\nAnswer: 5*(a - 1)*(20*a + 161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be 0 + 0 + 2 + 0. Suppose 0 = 5*x - 2*g, -6 = s*x - 2*g - 0*g. Let r be (-36)\/8*(-8)\/6. Solve 4*o + 32 = -x*t - 2*t, 0 = -2*o - r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 7*b + 54. Let o be d(0). Find the second derivative of 57*i + o*i - 70*i**3 - 58 - 110*i wrt i.\nAnswer: -420*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 315255*q = 315251*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16 - (0 + -1) - -1 - (1460 - 1456)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1812 is divided by 165.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 14453*n**3 - 32863*n wrt n.\nAnswer: 86718*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*t + 12*t. Let s = 5 + t. Suppose 0 = -q - 3*g - 230, -3*g - 1210 = -0*q + s*q. What is q rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -170 divided by -1.\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be (3 - 13)*4\/(-8). Let k be l\/2*(-20)\/(-25). Find the second derivative of 0*c**2 - 10*c**k + 24*c + 0*c**2 wrt c.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 10 = 0, -7*q + u = -12*q. Sort -5, q, -7.\nAnswer: -7, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 28479.4 years?\nAnswer: 2847.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4050 and 6372.\nAnswer: 477900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -686*x - 715*x**2 + 3 + 394*x**2 - 3 + 319*x**2.\nAnswer: -2*x**2 - 686*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: ((-10)\/(-175))\/((-58)\/1740)*((-294)\/4)\/(-7)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/((-7)\/(-56)*-4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-y**2 + 0*y + 0*y)*(-2*y + y + 2*y) + (2*y - 2*y - 3*y)*(3*y - 3*y - y**2) in the form s*y**2 + o*y**3 + i + h*y and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 3*z = -19, -17 - 1 = -n + 2*z. Is 2808 + n - (2 + -5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 18*y**2 - 19*y**2 - 2*y + 2*y + 47 - 6*y. Let t be u(-9). Sort t, 3\/2, 1\/5 in descending order.\nAnswer: t, 3\/2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 504000 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/(-9) + (24 - 23). Let b = -65\/72 + d. Put -1, 0.02, b in decreasing order.\nAnswer: 0.02, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -38 - (33 - (30 - -19)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5520, 5785, 6050, 6315, 6580?\nAnswer: 6845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -273191 + -2?\nAnswer: -273193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 78582\/189 - (-8)\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -100 (base 3) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/6779 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**3 + 5*y**2 + 5. Let k = 10 - 8. Let d(s) be the second derivative of s**5\/20 - s**4\/6 - s**2 - 86*s. Determine k*u(b) + 5*d(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 47134894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-24)\/(-135) - (-4)\/18. What is the smallest value in b, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -58.1 + -3.2. Let t = 57 + d. Let x = -4.30000061 - t. What is x rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 725 and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:28 PM and 2:59 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2057) + sqrt(2057) + sqrt(2057)*-4*-3 + sqrt(2057))**2 - sqrt(2057)) + -5.\nAnswer: -11*sqrt(17) + 462820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 2 = 6. Suppose 2*y = -0*h - 3*h + 10, -2*y + 8 = z*h. Let r be (-6 - -6)\/(-1*1). Solve r = y*w - w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 58172, 115685, 173198, 230711, 288224?\n\"Answer: 57513*g + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let 3*w**3 - 9*w - 6 = 0. What is w?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -5, -7, 2 in decreasing order.\nAnswer: 5, 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17096.\nAnswer: 2, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10648 is divided by 28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 355 minutes after 2:53 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 110 = -3*g. Solve 0 = 10*i + i + g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(162)*1*6.\nAnswer: 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 209, -231 in descending order.\nAnswer: 209, -1, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9451800 is divided by 3150540?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = 3, 14 - 35 = -3*r + 3*f. Sort r, -3, 1, -11.\nAnswer: -11, -3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 5571, 5570, 5569?\n\"Answer: -f + 5572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes after 10:32 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d**2\/7 - 664*d\/7 - 43560\/7 = 0 for d.\nAnswer: -242, -90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 71, 137, 203, 269, 335, 401?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eefeeefffffeeefe. Give prob of picking 3 e and 1 f.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -10359.63*5.5\nAnswer: -56977.965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = 205\/2 - 102. Find the common denominator of m and (-1)\/(-2)*((-137619)\/(-4887) + -28).\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1117949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/15 (b) 3\/2711 (c) 4 (d) 390\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 5*r = -7*x + 15, 5*r - 25 = -5*x. Suppose -4*u - 4*h + 680 = 0, 856 = 5*u + x*h - 3*h. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -3*w**3 - 3*w**2 + 2*w + 4. Let h be i(-3). Let x = h + 33. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1121 - 10712 = -196*q + 7767. Calculate the greatest common factor of 800 and q.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in thirteen fifths of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify q*q\/(q**(-1\/2)\/q)*q**(-2\/27)*(q\/((q*q*q**6*q)\/q))**(29\/2) assuming q is positive.\nAnswer: q**(-2648\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let -4*c**5\/3 + 8*c**4\/3 + 64*c**3\/3 - 8*c**2\/3 - 20*c = 0. What is c?\nAnswer: -3, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out -311 + 0.002776.\nAnswer: -310.997224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 0.5 (b) 0.2 (c) -3\/2 (d) 7 (e) 226\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 966 and 7727517?\nAnswer: 15455034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.1, 0.2, 8375, 0.3, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 32, 86, -0.4, 7\/2 in decreasing order.\nAnswer: 86, 32, 7\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 329 and 302754025.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that 2*t**5 - 45320*t**4 + 634216*t**3 - 2898880*t**2 + 4348032*t = 0.\nAnswer: 0, 4, 6, 22646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the third derivative of d**4\/24 - d**3\/2 - d**2. Determine n(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 304 minutes before 3:58 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:51 PM and 9:29 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (146\/4161)\/(8\/(-42) + (-29)\/203)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 292115 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, 12, -1.4, 4, -147, -4 in ascending order.\nAnswer: -147, -4, -1.4, -0.5, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (19 - 93*j - 19)*(3 - 3 - 1).\nAnswer: 93*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Product of -29868 and -34678.\nAnswer: 1035762504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -73\/1074 + 42\/179. Sort x, 116, -1\/4, 2\/9 in decreasing order.\nAnswer: 116, 2\/9, x, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 6, h: 3, k: 4, y: 2}. Give prob of picking 1 k and 1 y.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 8, b: 6, m: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that -2*g**3\/11 - 4908*g**2\/11 - 4014744*g\/11 - 1094686864\/11 = 0.\nAnswer: -818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 9) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -16 - -33. Suppose 0 = 2*y + 2 + 4, y = -4*s + n. Suppose 4*h - k - k - 14 = 0, s*h - 17 = 3*k. Solve h = -0*z - z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1 + 84 + (-2 - -2). Suppose -2*l - 3*l + y = 0. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that 35*l**3 + 77740*l**2 + 244060*l + 177440 = 0.\nAnswer: -2218, -2, -8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in seventeen tenths of a kilogram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1503.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 1373*g + 1. Let i(c) = 10*c**2. What is i(y(z))?\nAnswer: 18851290*z**2 + 27460*z + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2\/107 - -313\/428. Let q = 13 + -14. Which is the closest to 2\/7? (a) -2 (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4781?\nAnswer: 7, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 11*f**2*z - 12*f**2 + 25*z - 6 with respect to f.\nAnswer: 22*f*z - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t - 10 = p, -2*t + 0*t - 9 = -3*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 322 minutes before 3:46 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -71, -142, -213, -284?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6885 and 483182415?\nAnswer: 6885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1293018421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 1853878 - 12*j**2 - 3*j**3 - 42*j**2 - 1853833 as w*j**2 + v*j**3 + a*j + x and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 2, x: 5, n: 7}. What is prob of picking 2 n and 1 s?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 12079 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 9*z + 1. Let q be b(-3). Let y = q - -44. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5)\/40*-12)\/(3\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -156\/5 - -327\/10. Which is the nearest to -0.1? (a) -0.5 (b) -0.16 (c) 1\/8 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -113 + -61. Let h(s) = -s**3 + 18*s**2 + 37*s + 25. Let z be h(19). Let x = z - k. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -11*z**2 - 244*z - 179. Determine g(-21).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*w = 13*w + 43 + 1643 + 728 for w.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the first derivative of z**3 + 15*z**2 - 18*z - 1. Let s(y) = y**2 + 10*y - 6. Let b(p) = -6*n(p) + 17*s(p). What are the prime factors of b(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 0*w = 0. Which is the nearest to w? (a) 5 (b) 1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by -14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -434, 67 in ascending order.\nAnswer: -434, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 123 - ((4 - 0) + 2) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -324210403 (base 5) to base 8.\nAnswer: -5251543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 52 and 13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 99, 733, 2435, 5733, 11155, 19229, 30483?\nAnswer: 45445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.01853*-12684.\nAnswer: -235.03452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -99 + 92 + 184\/26.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 45392, 35093, 17934, -6079, -36940?\n\"Answer: j**3 - 3436*j**2 + 2*j + 48825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-3)\/27*(0 - 2). Let s = 189\/4 + -47. Suppose 113*i = 115*i. What is the nearest to i in s, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.1 from 38231.9366.\nAnswer: 38231.8366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -114, -189, -264, -339?\n\"Answer: -75*o - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1877 = -5*z + 2947. Which is bigger: 246 or z?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -12733752, 5, -1.\nAnswer: -12733752, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -55*j**2 - 48*j + 17*j**2 - 7 + 34*j**2 - 44*j. Give d(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 4, -19\/4, 13, -3\/7?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 11, 0, -129790 in descending order.\nAnswer: 11, 0, -129790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-2\/15)*o*o)**(-11)\/(((o\/o**(18\/11))\/o)\/(o\/((o\/(o*o*o*o*o*o*o**16))\/o))) assuming o is positive.\nAnswer: o**(677\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*c - 2*c = -116. Let u = c + 142. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 17.8, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-25)\/(-10) - 49170\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -65\/140211 and -11\/666.\nAnswer: 10375614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -0.5, -4337.\nAnswer: -4337, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 337721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 112*g + 1. Let v be y(3). Suppose i = -0*i + v. Suppose 4*q = 2*x - x + i, -2*q + 173 = -5*x. What is the greatest common divisor of q and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(-3\/2)\/(k*k\/(k*(k*k**11*k)\/k*k*k))*k**(-11)\/k**(1\/14))**22)**(-1\/24) assuming k is positive.\nAnswer: k**(-11\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 20542 take away -0.043?\nAnswer: 20542.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = 72 - 72. Suppose 4*n - w - 9 = 0, -3*w = -3*n + 4 + 5. Solve 2*i = -2*z - 0*z - 16, l = 2*i - 4*z - n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = b - 20. Let y(c) = c**3 - 10*c**2 + 2*c - 13. Let v be y(b). Solve 2*l - 20 = v*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that 5*k**5 + 1255*k**4 - 47370*k**3 - 1350990*k**2 + 33871365*k + 371800935 = 0.\nAnswer: -281, -27, -9, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.6 + 0.5999956. Round s to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = 4*i + 4, 2*q + q + 3 = -2*i. Suppose -8 - 5 = -3*r + 2*j, r - 2*j - 7 = 0. Suppose 202 - 220 = -4*a + 22*a. Put a, i, r, 2 in ascending order.\nAnswer: a, i, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 2*q - 1436 = -2*q, -5*l - 4*q + 1791 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 361, 350, 323, 274, 197, 86, -65?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -57 - 16. What is the third biggest value in g, 0.5, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 173*r + 163*r - 2*r**2 + 172*r + 74 + 6*r**4 - 508*r as v*r**4 + t*r**3 + s + o*r + w*r**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Are -588 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 472 is divided by 81?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 19 + -7. Let t be 0 + 3\/(c\/8). Let x be (-1 - (-2)\/1) + t. Let v(z) = -2*z**2 + 2*z - 1. What is v(x)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + 7 + 8 + -15 - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -20 + 8 + (8 - 9 - -7) + -20\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 40039\/21 or 1906?\nAnswer: 1906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the second derivative of z**4\/3 - 26*z**3 - 164*z**2 + 3*z - 137. Find y, given that q(y) = 0.\nAnswer: -2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 466554932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-34*j**2 - 6*j + 32*j + 33*j**2)*(5*j + 5 + 37 - 12 + 19).\nAnswer: -5*j**3 + 81*j**2 + 1274*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -2.3+-886\nAnswer: -888.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = -927 + 1581. Suppose 0 = -3*k - 494 + 1874. Suppose o + k = 2*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1771260 divided by 295210?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 437 and 4301.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -181*w - 4378 - 147 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 47\/4 of a kilogram in grams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14 + 180 - 20)*(-3*z - 4*z + 3*z).\nAnswer: -584*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 1 - -1) + (16 - (2 + -3)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2.7 + -2.1. Let t = a - 0.88. Let k = -9.42 + t. What is k rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k - 3*a - 4, -3*k - a = -7 + 25. Let l = 11 - -11. Let v = 25 - l. What is the smallest value in v, k, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-24)\/16*10\/3. Put a, 13, -4 in ascending order.\nAnswer: a, -4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 15 = 2*y, l = 5 - 2. Let h be 7\/35 - 54\/(-30). Suppose -110 = -h*u + 4*p, y*u = 4*p - 10 + 165. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v + 14 = 6*i - i, -2*v + 8 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -251.351 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-10)\/((-12)\/(7 + -1)). Solve 2*p - f - 6 = -3*p, 3*f - 2 = m*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2721558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1334 (base 5) in base 10?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/(243\/(-96))*204\/(-272)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 2 = -3*a, 2*s = 2*a + 10 - 2. Suppose -5*h + 55 = 5*v, 0*v - s*v + 19 = -4*h. Let n = 7 - v. Solve -5*j = -n*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 71 = -5*y, -3*y + 3*n + 41 = 2. Let c = 8 - 6. Let k = y - c. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 4847, 5474, 6101, 6728, 7355?\n\"Answer: 627*p + 4220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (100\/(-12))\/(25 + 740\/(-30))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18 - ((-6 - 22) + (-168 - -108)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4654697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = c**3 - 105*c**2 + 448*c + 219. List the prime factors of k(102).\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1656*l**3 + 828*l**3 + 830*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4261.\nAnswer: 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/((v\/(v**(-6)*v))\/v))**(1\/5)\/(v**(3\/16)*v\/v**7) assuming v is positive.\nAnswer: v**(401\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nw when two letters picked without replacement from {w: 4, r: 7, n: 7}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -428132 + 696823 + 255461 = 10408*a - 880928 for a.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -48*u**4 + 47*u**4 + 27*u**4 + (1 + 2 - 2)*(-3 - 2 + 7)*(0*u + 3*u - 5*u)*(u**3 + u**3 - u**3).\nAnswer: 22*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = -4*u + 336, 0 = 5*z + 4*u - 66 - 478. Calculate the remainder when z is divided by 27\/(2\/6*3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 2aa (base 12) to base 7\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 4*x = -20, 11*x = -4*u + 9*x + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.044017625 minus 0?\nAnswer: -0.044017625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 13753261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = -12452 + 12447. What is the smallest value in 4, -0.2, -1\/225, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20100 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (45\/(-27))\/((-8)\/(-24))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from cppvvpvpvppvpdpv.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*d - 4*d = -5*c - 205, -2*c = d + 21 - 33 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 18 + c**3 - 16 - 3*c - 2*c**3 in the form w*c + i*c**2 + p + f*c**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 50 and 5790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4\/22 + 414935\/341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + i - 522 = 0. Calculate the greatest common factor of 29 and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.68 times -12.6\nAnswer: 8.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f\/(f\/(f**(1\/2)\/f)))**(3\/19))**(-17))**(27\/4) assuming f is positive.\nAnswer: f**(1377\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 25413 and 387?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ee when two letters picked without replacement from {v: 2, u: 1, e: 3, h: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 3 - 5 = 0. Let c(s) be the first derivative of -j*s**3 + 4 + s + 5 - 3. What is the first derivative of c(r) wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 100111 - 2?\nAnswer: 100103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -40522 * -2480\nAnswer: 100494560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 367 minutes after 7:31 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 764441911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/(j\/((j**(18\/5)*j)\/j)))\/(j*j**(6\/11)))\/(j**(-2\/11)*j\/(j*j**(-6\/7))) assuming j is positive.\nAnswer: j**(531\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18 - -20)*(-25)\/(-40).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the first derivative of -5*j**3\/3 - 6*j - 12. Differentiate d(q) wrt q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.13 and 6.2.\nAnswer: 0.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i**2 + 67*i - 337. Let z be m(5). Let q(c) = -10*c + 2. Let s be q(2). Let h = z + s. Let k(d) = d**2 - 5*d - 6. Calculate k(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:07 AM and 4:02 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 124 and 64511?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -158 + 42. Let l = -470 - -342. Let m = l - z. What is the biggest value in 1\/4, -2, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 64400 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 324 minutes after 3:29 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((sqrt(360)*2*1)\/(-1*sqrt(1200) + sqrt(1200) - sqrt(1200)))\/(-3*-4*2*sqrt(294)).\nAnswer: -5 - sqrt(5)\/840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 0 - 2)*(2*j - 2*j + 2*j) - 2*j + 4*j - 4*j + (j - j + j)*(1 - 4 + 0 + (1 + 1 - 1)*(2 - 3 + 2)) to k*j + b and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 598 = 4*u, -527 = -3*w + 3*u + 106. Suppose -4*h - 344 = 92. Let b = w + h. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14371796.\nAnswer: 2, 103, 34883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13 - (-4 + (4 - 4) + 4 + -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -169*p**2 - 103*p - 2. Let c(d) = 15*d**2. Calculate m(c(r)).\nAnswer: -38025*r**4 - 1545*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 57592*z - 677844 wrt z.\nAnswer: 57592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/3 + 74\/(-6). Let l = u + 29. Let k(s) = -s + 2. What is the remainder when l is divided by k(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 4) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -3*-11796\nAnswer: 35388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 11\/4 of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 113487824 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 25498 or 25486?\nAnswer: 25498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = -874 + 1211. Let a = 342 - b. Let h(r) be the first derivative of -r**3\/3 + 4*r**2 - 3*r + 1. Determine h(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 45954 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -11359 - -11359. Let d(t) be the third derivative of q*t + 9*t**2 + 0 - 1\/24*t**4 + t**3. Give d(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 2 h when three letters picked without replacement from uhhuhuhphhuuhu?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -161038753*a**2 - 159282626 wrt a?\nAnswer: -322077506*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(209) - sqrt(209)*4)*-4 - sqrt(209) - (sqrt(209) - sqrt(209)*4)*5)\/((sqrt(539) - (sqrt(539)*-2 + sqrt(539))) + -3*sqrt(1100) + sqrt(1100)).\nAnswer: -13*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 12 + 9. Suppose -3*y = -172 - 134. Calculate the remainder when y is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3090 = 5*m - 5*i, 0 = -2*m - 2*i - 3*i + 1250. Let y = m - 614. Solve -24 = -4*r - 2*l, -4*r - 5*l = -y*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-13)\/13*9*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lu when two letters picked without replacement from {u: 13, l: 6}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 0.6, -0.52, 4.3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-4 - -13) + (1 - (-2 + 7))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 42932.\nAnswer: 2, 10733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -14*c. Let q(o) = 14*o + 1. Let b(p) = -6*h(p) - 5*q(p). Let x be b(2). Let f = 65 - x. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1575 and 4683?\nAnswer: 351225","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - ((-3 - -7) + -4) - -11.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -35*b + 37. What are the prime factors of u(-5)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -27 + (123 - 85) + -48\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 80535.8km to micrometers.\nAnswer: 80535800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -6110 + 22?\nAnswer: -6077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -102*h**3 + 12*h - 12*h.\nAnswer: -102*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 53 (base 9) in base 7?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1456 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 11166 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**3\/6 + 4537*z**2\/2 + 209231*z\/2 + 7224553\/6.\nAnswer: -(z - 13657)*(z + 23)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = i. Let r(v) be the second derivative of 2*v + 5\/6*v**3 + 0*v**2 + 0. Give r(a(n)).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(4 + (sqrt(49) - 2*sqrt(1225) - sqrt(49))\/((sqrt(63) + sqrt(7))*-4))*3 + 5.\nAnswer: 15*sqrt(7)\/4 + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 3*a - a - t, 8 = 2*a + 2*t. Suppose -2*n - 31 = -a*l - n, 2*n - 1 = -l. What is the remainder when l is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 316874 is divided by 314205.\nAnswer: 2669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 14017, 28035, 42053, 56071, 70089?\nAnswer: 84107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 6*d**4 + 12*d**3 - 12*d**2 - 3*d + 32. Let i(n) = n**4 + 2*n**3 + n. Let t(f) = -15*i(f) + 3*y(f). Factor t(j).\nAnswer: 3*(j - 2)**2*(j + 2)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1642 is divided by 615.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 5850 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 - (-6 + (-1 - 5 - -9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 19095689 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 415 = x + 4*x. Calculate the remainder when x is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -15.395*65\nAnswer: -1000.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let -3*r**2 - 105*r - 102 = 0. Calculate r.\nAnswer: -34, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:35 AM and 7:54 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s**4)\/((s**(-2\/23)*s)\/s)*(s**11)**(-38) assuming s is positive.\nAnswer: s**(-9497\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = i**3 - 2*i**3 - 5 - 9*i**2 + 0*i**3 + i + 8*i. Let t be k(-10). Solve 2*q - 2*a + 6 = 0, 2*a - t*a + 11 = -4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 1 = -7. Let o(x) = 5*x**2 - 5*x**m + 4*x**2 - 2*x**2. Let d(k) be the third derivative of k**5\/15 - 2*k**2. Give d(o(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -654 - -1170. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 + -1. Let l(o) = 2788*o**2 + 0 + 1 - 5567*o**2 + 2776*o**2. Determine l(q).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the second derivative of 29*g**6\/30 + 11*g**2\/2 + 33*g. What is the derivative of h(d) wrt d?\nAnswer: 116*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*r + 5 + 7. Suppose 0 = 11*m - r*m - 130. What is the remainder when m is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:30 AM and 4:32 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the second derivative of -2025*u**7\/7 + 594*u**6 - 2556*u**5\/5 + 2152*u**4\/9 - 592*u**3\/9 + 32*u**2\/3 + 27*u. What is n in h(n) = 0?\nAnswer: 2\/9, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -5, -0.1, -5\/2, -61.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange l**2 - l**4 - l - 5*l - l**4 + 17*l**3 - 3*l + 7*l to w*l**3 + g*l + h*l**2 + i + x*l**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 300312110110 (base 4) to base 13\nAnswer: 2864776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -25 divided by 30.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*n**3\/4 + 17*n**2 + 37*n\/4 - 13\/2.\nAnswer: (n + 1)*(n + 13)*(5*n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*d + 283 = 724 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1.1 - -0.1. Let h be ((-189)\/(-105))\/(1 - 6\/5). Let r be ((-35)\/3 - -6) + (-6)\/h. What is the third biggest value in -2\/5, r, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -19 - -98. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 34*n - 491. Calculate l(15).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 13 - (358\/126 - -7) - 3 and -127\/1026.\nAnswer: 7182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -263090055, -263090061, -263090071, -263090085, -263090103, -263090125, -263090151?\nAnswer: -263090181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*m + 0*m - 2*m)*(-363774 + 686*m + 363774).\nAnswer: -1372*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1 - 5237161?\nAnswer: -5237162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4 - -6. Suppose -14*z = -10*z - 12. Solve z*b = -v*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.88634 and 3151.\nAnswer: 3150.11366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 24 and 1773768.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -196 + 196. Let b(p) be the second derivative of c*p**3 - 4*p + 0 + 0*p**2 + 1\/10*p**5 + 1\/6*p**4. Determine t so that b(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v**2. Let r be 31*1\/11 - (-3640)\/20020. Let l(x) be the third derivative of 0*x + 0 + 1\/6*x**4 + 35*x**2 + 1\/2*x**r. Determine l(p(y)).\nAnswer: -4*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -43\/11 and -95\/212?\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -74, -330, -756, -1352, -2118?\n\"Answer: -85*y**2 - y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:02 AM and 10:17 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 60a (base 11) to base 13\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4743110 or 4743108?\nAnswer: 4743110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x be -3*(-1)\/21 + (-5)\/35. Sort -4, -10, x, -3.\nAnswer: -10, -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 4960656841 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-6)\/9)\/(2\/6). Let f be 0\/h + 1 + -2. Let a be 23000 - 0*f\/(-3). What is a rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 56, 123, 196, 275, 360, 451, 548?\nAnswer: 651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1a7b0ce7 + -3?\nAnswer: 1a7b0ce4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -9*q - 8. Let w = -9 + 13. Let r be -9 + 1\/(w\/12). Does 23 divide o(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 36451 (base 13) to base 14.\nAnswer: 2842b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 1, -25, -43, 0 in decreasing order.\nAnswer: 1, 0, -3, -25, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from peplppeeeeqepffkk. Give prob of picking 1 p and 2 e.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2635794244?\nAnswer: 2, 4463, 147647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.011 - -0.049. Which is smaller: m or 7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + (0 - 0) + 26 + 24 + -40.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-592)\/42 + (-76)\/912*(-32)\/28.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -4*b + 192 + 404, 896 = 3*g + 4*b. Is 30 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0 + 16 + -1)*2. Let z = -28 + d. Which is the third biggest value? (a) z (b) -5 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -96*c**3 + 3 - 1 - 3 + 18*c**3 - 2.\nAnswer: -78*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -337, 3, 1, 2\/3 in decreasing order.\nAnswer: 3, 1, 2\/3, -337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(1\/2)*i**(-2\/5))\/((i\/i**(3\/4))\/(i*i**3)))**(-3\/10) assuming i is positive.\nAnswer: i**(-231\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**0)**(-2\/27))**(-29)\/(m**(2\/11)\/((m*m\/m**(5\/2))\/m)*(m*m*m**(2\/5)\/m)**(-7\/3)) assuming m is positive.\nAnswer: m**(523\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 11 divided by -11345\nAnswer: -11\/11345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - w + 180 = 0. Let b be ((-3)\/w)\/1*2. What is the biggest value in -14, b, -3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 252\/(-147)*14\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1444\/7 + -207. Let v = h + 6\/7. Which is the nearest to 1\/3? (a) -5 (b) v (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 10*y - 74. Let h be z(20). What are the prime factors of (0 + h\/(-12))*-6?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/(24\/88*(-110)\/(-180))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 29.25617 micrograms in tonnes?\nAnswer: 0.00000000002925617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 377800?\nAnswer: 2, 5, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -646*l + 0 - 2 + 661*l.\nAnswer: 15*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*b = 19 + 47 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -21, 4, -2, -489 in decreasing order.\nAnswer: 4, -2, -21, -489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -126672953 to the nearest one million.\nAnswer: -127000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-69)\/(-2) - (-2)\/(-4). Let j = 29 - 53. Let s = j + m. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3078075*m**3 + 2*m**2 - 19176792*m wrt m?\nAnswer: -18468450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*c - 176989 + 176989.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1278\/(-198) + 7)*-5*(-16)\/(-120)*6.\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -18355 + 1?\nAnswer: -18354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 367769387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2736) - sqrt(2736)*-1*5)**2 - sqrt(2736).\nAnswer: -12*sqrt(19) + 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (m + 0*m + m)*(-m - 1 + 1)*(-57*m**3 + 3983*m**2 - 3983*m**2 + (0*m + 6*m - 4*m)*(2*m**2 - 2*m + 2*m)).\nAnswer: 106*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 63 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 5, -4, 31.\nAnswer: -4, -1, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3364 is divided by 102.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 + 4. Suppose -3*d = 5*c + 504015, -4*d + 6*d + s*c = -336012. What is d rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 72554 greater than 72249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 15890477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 11054 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = -776 + 1144. Is 46 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k**3 + 7404159*k**2 + 74041365*k + 185103225 = 0 for k.\nAnswer: -2468043, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1 + -11e?\nAnswer: -11d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 39 divide 116376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = -31 + 36.4. Let w = m - 0.4. Which is the closest to -0.2? (a) w (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 2, -0.06, 82, 3, 0.1, -0.1, 0.04395?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -q**2. Let u(b) = 56*b + 4. Let v(i) = -i + 2. Let f(z) = 2*u(z) - 4*v(z). What is f(m(y))?\nAnswer: -116*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (g**2 - g**2 - 2*g**2)*(4*g - 3*g + g) + (4*g + g - 3*g)*(-4*g**2 + 0*g**2 - g**2) + 4*g**3 + 19 - 19.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/5 or 43?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-102)\/850)\/((-192)\/11840).\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(75) + -2)**2 + -5 + 1.\nAnswer: -30*sqrt(3) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -86*t - 36. Let n(i) = -116*i - 36. Let r(b) = -4*h(b) + 3*n(b). Suppose 29 - 2 = 3*y. Let m be r(y). Solve m = -g - 5 + 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u + 35 = -5*x, -4*x - 8 = 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gv when two letters picked without replacement from vpggspgfxgxs?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 237 - -133?\nAnswer: 36a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 315*k**3 + 6*k**2 - 313*k**3 + 0*k**2 + 13 as b + w*k**2 + p*k**3 + m*k and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -78, 1, 3 in increasing order.\nAnswer: -78, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -4*y**2 - 2*y. Let d(t) = t**2 + t. Let u be (1\/(-3))\/(55\/(-30) - -2). Let r be (12\/15)\/(u\/(-5)). Calculate r*q(k) + 6*d(k).\nAnswer: -2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4 + 7. Suppose -q*v + 1966 + 107 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*a - 507 = -2187. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 90*j - 1151 = -455 - 383 + 2117 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Simplify n*(n*n**27*n)\/n*n**(-1\/2)*((n*n\/(n**(-8)*n)*n)\/n)**(1\/19) assuming n is positive.\nAnswer: n**(1101\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4 and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-21*a**2 - 18*a**2 + 54*a**2)*(-4 + 1 + 2 + 2 + 2 - 6 - 3 + 4 - 3 + (-4 - 1 + 4)*(4 + 0 - 5) - 3 + 0 + 1).\nAnswer: -90*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 308 and 5280.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = k**3 - 2*k**2 - 4*k - 11. Calculate i(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-3\/4)\/(s\/(s\/(s*s**20*s)*s)) assuming s is positive.\nAnswer: s**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 283156 is divided by 131?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(132) - (sqrt(132)*-2 - sqrt(132)))*1)\/(sqrt(12) + sqrt(192)*-3) + 5 + (-4*sqrt(55)\/sqrt(5) - sqrt(110)\/(sqrt(40)\/sqrt(4))) + 2.\nAnswer: -59*sqrt(11)\/11 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 1 + 29 = 0. Suppose -s = -3*h + h. Suppose 238*g - 18 = 235*g. What is the lowest common multiple of g and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -b**2 + 5. Suppose -q - q = 0. Let x be (q + 2 + -2)\/1. Calculate n(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 418 + -390. Sort q, -1, -0.2 in descending order.\nAnswer: q, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xqt when three letters picked without replacement from tdtqqqfttqxfqqf.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 344*t + 8954. Calculate m(-26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -4*b + 3*u, -2*b - 3*u + 6 = 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 161786199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/11, -107, 0.4, -3, -5 in ascending order.\nAnswer: -107, -5, -3, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 858870 and 229032.\nAnswer: 3435480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 57912156, 115824310, 173736462, 231648612, 289560760, 347472906?\n\"Answer: -p**2 + 57912157*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 79.9 equal to 1497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -195647*q + 391221*q + 44*q**2 + 11*q**2 - 195574*q.\nAnswer: 55*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hl when two letters picked without replacement from {b: 2, z: 1, h: 4, l: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the first derivative of -435*j**4\/4 + 107*j**3\/3 - 2*j + 509. Find the third derivative of w(b) wrt b.\nAnswer: -2610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 228*h + 941 + 939 - 2827 + 946. Let n(m) = -3*m**2. Calculate n(r(f)).\nAnswer: -155952*f**2 + 1368*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 76*q**2 + 148*q - 4. Let r be z(-3). Do r and 234 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1200148 and 37753?\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 - (-2 + 37 + (-54 - -37) + 0).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is k in -k**2 + 47*k - 246 = 0?\nAnswer: 6, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -8 + 2*h - h + 0*h + 5. Determine p(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*r**3 - 16*r**3 - 2*r**3 + 3*r to the form i*r + w + v*r**2 + j*r**3 and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*n**3 - 21*n**3 + 31*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:33 AM and 4:19 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 2*c**2 - 10*c + 8. Let u be t(6). Suppose u = 3*g + 11. What is the highest common divisor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 37*n + 355. List the prime factors of b(11).\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = 3*g + 4*p, -3*g + 9*p - 14*p = -8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 177, 0, -907 in descending order.\nAnswer: 177, 0, -907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 145*d**3 - 120.\nAnswer: 435*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1293726 and 4096799.\nAnswer: 24580794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -67027870 to the nearest one million.\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*d + 74*d + 42*d - 228 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -328 + 384. Suppose -5*m + 3 = 2*x, -x - 2*m + 6 = 2. What is the smallest common multiple of i and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 370 times 250\nAnswer: 92500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*(j**(-6\/13)\/j)\/j*j)**(-10\/11)\/((j\/(j*j**(-1\/18)*j))\/((j\/j**(-4\/9))\/j)))**34 assuming j is positive.\nAnswer: j**(79135\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-4)\/(-6))\/(10\/(-15)). Suppose 7*m - 38 = 3*m + 2*r, 0 = 4*m - 3*r - 33. Which is smaller: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 98.55172kg in nanograms?\nAnswer: 98551720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1010 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q = 2*x - 20, -221*x - 10 = -18*q - 222*x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the third derivative of 5*n**4\/24 + n**3\/2 + 3*n**2. Let x be a(-9). Let p = x - -97. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -19 and 0.4345.\nAnswer: -8.2555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = 469 + -231. What is the highest common divisor of l and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -96 or -478\/5?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6 in -0.04, -35, -3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 476 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -16807.41 and 2?\nAnswer: 16809.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*i - 23 - 7. Calculate the highest common factor of i and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -11*s**2 + 99*s + 49. Calculate x(9).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-4)\/(8\/4 + -16). Let j = -0.13 - -0.13. What is the closest to -2\/5 in a, j, 1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1155916140 from 14523.\nAnswer: -1155901617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -10012331 (base 4) to base 15\nAnswer: -4ebe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/48 and 187\/243120.\nAnswer: 243120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 5 - (2 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 3*a - 13 = 0, -3*c - 6*a + 9 = -9*a. Solve -3*x + c = -g, x - g - 3*g = -3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*y = -157 + 347 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 14\/15 - 1\/3. Let x be (1\/6)\/((-4)\/(-16)). What is the second smallest value in x, 4, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8440157 to the power of 1\/2, to the nearest integer?\nAnswer: 2905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the first derivative of 23\/3*f**6 + 0*f**5 + 0*f**4 + 0*f + 49\/3*f**3 + 45 + 0*f**2. What is the third derivative of w(h) wrt h?\nAnswer: 2760*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:54 AM and 3:39 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = z**3 - 3*z**2 - 3*z - 2. Let n be q(4). Suppose -5*c + 19 = -2*c - 4*b, c - 3*b = -2. Let f = 14 - c. Which is smaller: f or n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 82 = 3*v - x, 0 = -v - 2*x + 14. Let c(y) = -y + 1. Calculate the remainder when v is divided by c(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -81013065*g**3 + 19973*g**2 + 373*g + 3 wrt g?\nAnswer: -486078390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i = 3*p - 19, -i + 5 = 3. What is the common denominator of -109\/6 and 4 - p\/(-30)*-19?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 48 = 5*v, -2*y + 2*v = v - 39. What is the common denominator of ((675\/(-36))\/25)\/(9\/56) and 1\/(-3) - 32\/y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 84*u + 91. Let k(f) = -30*f - 31. Determine 3*b(w) + 8*k(w).\nAnswer: 12*w + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**(-2\/11))\/v)**29\/((v\/(v\/(v\/(v**10*v)*v*v))*v)\/v*v*v\/(v*v\/v**30*v)*v) assuming v is positive.\nAnswer: v**(-300\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -46\/5 and 17\/607.\nAnswer: 3035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3006313 is divided by 85876?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 7*l - 5. Let u = 24 - 2. Calculate the remainder when g(16) is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x**4\/4 + 11*x**3\/2 + 499*x**2\/4 - 748*x - 867 = 0. Calculate x.\nAnswer: -17, -1, 6, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*w + 7 = 9 - 71. Solve -15 = 3*u - 4*q, w = q - 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 92 and 2967?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the third derivative of -13*g**4\/12 + 2*g**3\/3 - 27*g**2 + 18*g. Let w(i) = -i + 1. Give s(p) - 6*w(p).\nAnswer: -20*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 32\/5 of a micrometer in nanometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -808*j + 109 with respect to j.\nAnswer: -808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.05 in 12, -2, 3, 6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 9648 and 72.\nAnswer: 9648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 21700 and 4340?\nAnswer: 21700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be -5*2\/(3 - 1). Let o be 10\/14*(-4)\/(-10). What is the biggest value in 0.1, s, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -16*k. Let u(b) be the second derivative of -5*b**4\/12 - b**3\/6 + 2311*b. Give q(u(n)).\nAnswer: 80*n**2 + 16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*h + 12836 + 5112 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.0199 - -0.005. Round y to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c + 9 = x, 3*x + 6 - 11 = -5*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the third derivative of 0 + 7\/60*o**5 + 2\/3*o**3 + 0*o**4 - 26*o**2 + 1\/120*o**6 + 0*o. Give r(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 296784351 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3981 is divided by 166?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -z + 3*w - 11, 2 = -3*z - 5*w + 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (a - 3 + 3)*(-4*a**3 + 2*a**3 + a**3) - 2*a**3 + 2*a**3 - a**4 + (4*a**4 + a**4 - 6*a**4)*(3 - 5 + 3) - 3*a**2 + 3*a**2 - 7*a**4.\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 75147895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.01 + -0.61. Let a = -53 - -317\/6. Sort a, -3, w.\nAnswer: -3, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 2*c**3 - 79*c**2 - 91*c + 2561. Calculate q(40).\nAnswer: 521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2*3 + (33 - 38) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in 0, 2628, -22, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(((-3)\/64)\/((-6030)\/3216))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*x + 4*g, -x - 2*g = -6*x + 26 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 10*x**3 - 8*x + 19. What is the hundreds digit of m(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g - 3*u - 53 = 0, 47 = 11*g - 13*g - 5*u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 49.62 - 44.0424. Let t = -13.57775 + s. Let x = 8 + t. Round x to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 + 1010111011?\nAnswer: 1010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = s**3 - 23*s**2 + 126*s - 29. What is the lowest common multiple of 520 and g(16)?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*j**3 - 3*j**3 - j**3)*(-j + 0*j + 3*j).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3135 - 3139. Sort f, 10, -5, 0 in ascending order.\nAnswer: -5, f, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -16 - 28fb06?\nAnswer: -28fb1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/53405 and 57\/2328458.\nAnswer: 11642290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (u + u - 3*u + (0 + 4 - 2)*(39*u - u + 21*u))*(4 + 0 - 2) as k + j*u and give j.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = g**3 - 74*g**2 - 24*g - 15929. Give i(77).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 412*p + 4. Let u(d) = -823*d - 7. Calculate 5*b(a) + 3*u(a).\nAnswer: -409*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 9) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 15 = 2*x - 5*x, -2*x = -4. Suppose d + 4 = 2*g + 3*o, -5 = 5*g + 3*o. Let i be 2\/1 + 1 + 0. Sort g, i, 0 in decreasing order.\nAnswer: i, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 18958 and 85311?\nAnswer: 170622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 2 z when three letters picked without replacement from onzjdohz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 8*n - 40. Let y(q) = -10*q + 48. Let a(g) = -6*u(g) - 5*y(g). Let j(h) be the first derivative of h**2\/2 + 37*h + 2. Give j(a(s)).\nAnswer: 2*s + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 4 <= -434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2352316 + -321?\nAnswer: 2351775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-4)\/(-10))\/(4\/80). Suppose -5*g + v = -3*g. Suppose -2*o + 1 + 21 = 5*q, 2*o + 32 = g*q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1221?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 - (-1 - (8 + -5 - (-2 + 1))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-74)\/148)\/(1\/(-2004)). Which is smaller: 1003 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 40\/(-18) - (-6)\/27. Suppose -4*c - 19 = 5. Let a be ((-2)\/(-6))\/(u\/c). Put -5, 4, a in descending order.\nAnswer: 4, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the first derivative of -2*u**2 + 26*u - 10406. Calculate h(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**2*j**(-3\/8))\/(j**8\/j**10) assuming j is positive.\nAnswer: j**(37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 + 4. Suppose -4*y + 2680008 = q*h, 0*y = 5*y - 4*h - 3349984. Round y to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the third derivative of -c**6\/12 + c**5\/10 - c**2. Let d be 1\/3 + (-66)\/9. Let p = 1 - 3. Let h(f) = 3*f**3 - 2*f**2. Determine d*h(k) + p*g(k).\nAnswer: -k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 82025.82 decades?\nAnswer: 820258.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the first derivative of q**2 + q - 2*q + q - 1. Let n(h) = h**2 + 2*h - 2*h - 2*h**2. Determine l(n(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2755768 to the power of 1\/2, to the nearest integer?\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = -2*d + 170, 4*t - 335 = -5*d + 6*d. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -139\/6372 and -47\/33984?\nAnswer: 101952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = g**3 - 9*g**2 + g - 7. Let h(k) = k**2 + k + 3. Let r be h(2). Suppose 13*x - 60 = r*x. Let f = 24 - x. Determine l(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2457153 divided by 4.\nAnswer: 2457153\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 227322 and 11418?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 5670235331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -248 - -3326?\nAnswer: 3067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*d + 7 + 1. Let z(n) = 5*n + 4. What is the units digit of z(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the third derivative of x**5\/120 - 45*x**2. Factor u(t).\nAnswer: t**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -340*a - 849*a - 251*a + 26645*a**3 - 25185*a**2 - 20 = 0. What is a?\nAnswer: -2\/73, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 10255456*h**3 + 8*h**2 - 1372*h - 32716?\nAnswer: 61532736*h + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.239 + 0.2077. Let j = x + -0.2687. Let y be (-3 + (-84)\/(-27))*-2. Which is the biggest value? (a) j (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -18, -78, -176, -312, -486?\n\"Answer: -19*v**2 - 3*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*y - y - 10 = 0. Solve 3*j = -y*p + 9, -5*p + 2*p = 3*j - 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-32)\/33*41888\/137088.\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*u - 1231*u**2 - 3*u**3 - 10*u + 1231*u**2.\nAnswer: -3*u**3 - 25*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 3632 divided by 908\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = f**3 + 4*f**2 - 3*f - 3. Let q be -1 + -2 + -2 - -3. Let l be q - 4*2\/4. Determine a(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*2*sqrt(114))\/(sqrt(24)\/sqrt(36) - sqrt(6)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*sqrt(2)*2 - sqrt(2) - sqrt(20)\/(sqrt(30)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 + -100150?\nAnswer: -100152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 395 = 2*k - 563. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 6*d + 2 - 4)*(0 - 4*d**2 + 2 + 2*d**2) to l*d**2 + q + r*d**3 + h*d and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*a - 193 - 29 - 402 = 0 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 2 (b) -2 (c) 0.4 (d) 47 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1203*b - 1639 = -24496 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 13542764 by 78737.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -188512 to the nearest one thousand.\nAnswer: -189000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v\/(v\/(v\/((v**(-1)*v*v)\/v))*v)))\/v)**(-1\/14)*(v*v**0)**(-1) assuming v is positive.\nAnswer: 1\/v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 1191 = 789. Suppose 6*d - 2*d - p = 0. Let z be ((-8)\/(-12))\/((-2)\/(-3))*66. What is the highest common divisor of z and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 71531*f**2*l - 3150*f**2 + 6064112*f*l - 6*f - l wrt f.\nAnswer: 143062*l - 6300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 448 = 86. Suppose 0 = -l - 0*l - 9. Find the common denominator of -48\/11 and d\/30 + 3\/l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 5\/(-5)*((-32)\/22 + 2\/1)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -977*p + 13 = -976*p - c, -2*c - 26 = 6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Do -1.2 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 71 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4 - (-2 - -1)) + 3. Let o = 3 + 7. Let w = o - r. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 674 a factor of 816337342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h\/(h\/h**3*h))\/(h\/(((h\/(h\/h**(18\/7)))\/h)\/h*h)))**(-13\/5))**(-43) assuming h is positive.\nAnswer: h**(10062\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(18)*-1)\/sqrt(9).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 20*h**4 + 6*h**2 - 20. Let v(p) = -40*p**4 - 13*p**2 + 41. Let o(x) = 13*l(x) + 6*v(x). Find the first derivative of o(c) wrt c.\nAnswer: 80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -i - 3*i + 3*i - 3. Let y(x) = x**3 + x + 1. Suppose n = -j + 3, 4*n - 2 - 1 = 5*j. Suppose m + 7 = -4*h, -3*m = -m + 2*h + n. What is m*f(d) + y(d)?\nAnswer: d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 3*y**2 - 10*y + 84. Determine c(14).\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 0*k + 4*u = -23, -2*u = -5*k + 29. Let f(t) = t**2 + 14. Let w(a) = -4. Let v(r) = k*w(r) + 2*f(r). Let o(j) = 239*j**2. Give v(o(d)).\nAnswer: 114242*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -2\/3, -10\/221, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**2 + 7*q + 8. Let w be z(-6). Suppose w*f = f. Suppose 1 = h - 0. Solve -y + 0*y + h = f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -810388943*o**3*x*z + 3*o**2*x*z + 103*o**2 - 346*o*x*z - 252*x*z wrt o?\nAnswer: -4862333658*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 9\/5, -2, -827425 in decreasing order.\nAnswer: 9\/5, -2, -827425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 16 + -24. Suppose -2136*c = -2163*c - 243. Is c smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 364\/(-15) - (25 - (-37142)\/(-1470))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -155 + 153. Let s be 7\/(-2)*f*(-4)\/4. Sort -3, s, 2, -1 in descending order.\nAnswer: 2, -1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4936 + 7887. What are the prime factors of p?\nAnswer: 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**3\/(z\/z**(2\/7))*(z*z**(1\/3))\/(z*(z*z**(-1\/10)\/z)\/z*z))\/((z**0)**(-5\/16))**(-20) assuming z is positive.\nAnswer: z**(571\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = -27889 + 27889. Which is the smallest value? (a) i (b) -2\/235 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -53 or -693\/13?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (-466 - 0)\/(3*(-20)\/150)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 83*s + 27 = 86*s. Let m be ((-5)\/(35\/(-3444)))\/(s\/(-82500)). Round m to the nearest 100000.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -4*p**2 + 174*p - 66. Give q(43).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 892711 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from geeaaaaeaeeeggeg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 + 0.3. Let p = -33 - -37. Let s be (-10 - -9) + 9\/12. Which is the third biggest value? (a) s (b) g (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 825020000 to the nearest 1000000.\nAnswer: 825000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1300)\/(-5400))\/((-403)\/(-93))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4 + 3 + -4 + (-748)\/6. Let r = 121 + s. Are 0 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*u**2 + u**2 - 2*u**2 + (3*u - 3*u + u)*(u - 3*u + u) - u**2 + 3 - 3 + (-13*u - 17*u - 18*u)*(u - 4*u + 4*u).\nAnswer: -47*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:50 PM and 8:21 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) be the third derivative of -a**6\/120 - 7*a**5\/60 - 7*a**4\/24 + a**3\/3 - a**2. Suppose 4 = -2*x - 6. What is u(x)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8368677 to the power of 1\/2, to the nearest integer?\nAnswer: 2893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -12\/7 in 0, -1\/24, -5?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -10.2 * -0.2\nAnswer: 2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-495)\/(-990)*(-9 + 5 + -90)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*t + 10 = -2. Put 5, t, 1, 31 in increasing order.\nAnswer: 1, t, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 77\/56816 and 49\/3139084.\nAnswer: 12556336","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 28*b + 411. Give h(16).\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3)\/15 - 42\/(-10). Let i = w + -2. Solve -i*n - 1 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -20 - -22. Suppose -14 = 2*v - 4*v + l*r, -3*v + 15 = 3*r. What is the lowest common multiple of 9 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kdkkbybbdkyyaykk. What is prob of sequence bbk?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -13*q + 6*q + 6*q - 1. Let u(l) = -l**2 - 9*l - 2. Let b be u(-9). What is z(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + r = -3*s + 8, -20 = 5*r. Suppose -9*o = -s*o - 35. Solve o = -4*v + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (88 - 162 - -107) + (0 - -1)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = t**3 - t**2 - 41*t - 17. Determine k(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(144) + 1*sqrt(144)*-4 + sqrt(144) + sqrt(144))\/sqrt(12))\/((sqrt(54) - sqrt(162)\/(-2*sqrt(3)))\/sqrt(9)))**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -16 + 10e3?\nAnswer: 10cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -240 - -426. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-32)\/(-56))\/((-1)\/7))\/(-1 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 299*l + 3063. Let a be h(30). Calculate the greatest common factor of 63 and a.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = 2*z + 9. Suppose -q + z*q + 9 = -3*s, 5*q - 5*s - 40 = 0. Let a(d) = d**3 - 2*d**2 - 3*d + 4. What is the units digit of a(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -13314 + 125?\nAnswer: -13156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 215314.853 + -4670189?\nAnswer: -4454874.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 310 minutes after 12:42 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8023 and 226.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 65690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 36 = -4*w, -2681*w = -2676*w + u + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:36 AM and 2:32 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*h - 59*h + 22*h + 15*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 500*n + 495*n - 995*n - n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 99 (base 13) in base 3?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 10162003 (base 7) in base 4?\nAnswer: 3100312111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*f + 5*f = -8. Suppose -5*m = -f + 272. Round m to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17132*z = -20482*z + 93800 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + d - 36 = -3*d, 4*u + 21 = d. Put 1, u, -1 in increasing order.\nAnswer: u, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the first derivative of -3 - w - 3*w**2 + 1\/3*w**3. Calculate g(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1848 and 18264?\nAnswer: 1406328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 13) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -4*h**2 + 38*h + 60. What is o(10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -7*u**3 - 2*u**2 + 9*u - 10. Let v be y(-6). Suppose 4*w + 2*x - v = 0, -w + 2*x + 353 = 7*x. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i**(-35)\/i)\/i*(i\/(i\/(i*i**18)))\/i)\/(i\/(i\/((i\/(i\/i**(-3)))\/i))*i*i**(-10)))**(-1\/39) assuming i is positive.\nAnswer: i**(2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find o such that -4*o**2 - 2648*o + 7980 = 0.\nAnswer: -665, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 17 + 2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 110010010111 (base 2) to base 6.\nAnswer: 22531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -886 - -889. What is the third biggest value in -1\/13, g, -0.4, 2\/7?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -83\/50 + 4\/25. Let o = 0.1 - 0.3. Sort n, 2\/13, o.\nAnswer: n, o, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -84 - 38 - 151 = -13*y. What is the highest common factor of y and 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12989503 divided by -3.\nAnswer: -12989503\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.2 - -4.2. Let w = 40 + v. Let a = w + -44.5. What is the biggest value in -3\/5, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4705556 rounded to four dps?\nAnswer: 0.4706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = 171222 + 156778. Round d to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -42 + 22 + p**3 + 24 - 35*p in the form a + x*p + n*p**3 + i*p**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 7 = -2*h, -3*k + 3*h = 2*h - 11. What is the derivative of -2 + 2 - 5 - 5*u - k*u wrt u?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = j**3 + 2*j**2 + 2*j - 2. Let u(w) = -w**3 - 6*w**2 - 5*w - 2. Suppose 5*v = 13 + 12. Suppose 3*n + v = 2*n. Let a be u(n). Give f(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -8*b**2 - 30*b. Let n(t) = -2*t. Determine f(n(y)).\nAnswer: -32*y**2 + 60*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/135*10\/1)\/((5984\/(-48))\/11).\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -2*z**2 - z + 2. Let b be g(2). Let w = b + 12. Suppose w*d + 4*o - 3*o - 150 = 0, -3*o - 105 = -3*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -4*v + 9. Suppose 131*k + 247*k = 267*k. Solve -20\/13*f**2 + 24\/13*f**3 + 2\/13*f**5 + k + 6\/13*f - 12\/13*f**v = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 659544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 442.9757 centuries?\nAnswer: 531570.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 151511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -j. Let k(b) be the first derivative of 31*b**3\/3 + 6. Calculate k(q(s)).\nAnswer: 31*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 678 and 6.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 79\/3 of a decade?\nAnswer: 3160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 58416329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 564354.6mg in grams?\nAnswer: 564.3546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -66*c = -77*c - 6325. Let f = c + 575. Solve f = -4*v - 0*v - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*a - 58127 = 95604. Which is bigger: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -8700.91 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/((-4)\/1))\/((-2)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 7, y: 2, i: 3}. What is prob of picking 3 i?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11223 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 0*p**2 + 47*p - 48*p + 6*p**3 - 3*p**2 + p**2 - 4*p**4 as c + t*p**3 + d*p**2 + i*p**4 + y*p and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 446 minutes after 9:36 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-17)*o)**40*o**9*o\/o**(2\/15) assuming o is positive.\nAnswer: o**(-9452\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 537404968?\nAnswer: 2, 19, 131, 137, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {h: 3, f: 2, s: 8, m: 6}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1\/((-3)\/(-75)) - 4. Suppose 4*h = 5*j - w + 6, 3*h + 16 = -j. Let d(v) = 4 + v - 2 - 2*v + 1. Let z(c) = -c + 4. Determine h*z(x) + 6*d(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:37 PM and 4:41 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*t + 57370 = -11*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38209349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 25 = -3*v, 3*d = 3*v - 8 - 25. Suppose q + 5*i - 25 = 6*q, 0 = -5*q - 4*i - v. Let g(t) = t**2 + 3*t - 4. Give g(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.5*-0.139.\nAnswer: -0.0695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -h - 3772 + 3777 + 4*h + 3*h.\nAnswer: 6*h + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) be the second derivative of 2*q**3\/3 + q**2 + 48*q. Calculate t(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 105220 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + (sqrt(432) + -3)*3)*-1)**2.\nAnswer: -936*sqrt(3) + 4057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (1 + 5 + sqrt(275)*4 + sqrt(275) - (1 + sqrt(275) + -3 - sqrt(275) - (sqrt(275) + 1*sqrt(275))*4)).\nAnswer: 5 + 65*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide (-108*(-13)\/(-182))\/((-6)\/7168)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-1664)\/6)\/(3\/((-882)\/28))?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Let f = -50 - -80. Let x be f\/8 + (-2)\/(-8). Suppose x*p - 42 = -6. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 267 = -4*h + 5*v, -3*v + 5*v = -5*h - 342. Let f = h - -124. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 2076*w + 6043. What is d(-3)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1991 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 87*j - 503. Let t be b(6). Solve -2*v + t*v = -85 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1548683845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-9)*(r\/(r\/(r\/((r\/(r\/((r\/(r\/(r\/r**(-9)*r)))\/r)))\/r))))\/r)\/(r**4)**(-2\/7) assuming r is positive.\nAnswer: r**(-118\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Total of 64213363.9645 and 822.\nAnswer: 64214185.9645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = 29 - 23. Solve -5*r + 3*c + w = -3*r, -r = c - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify a\/a**4*a\/a**(-1)*a*(a**0)**(5\/4)*((a*a\/a**(2\/7))**38)**(-12) assuming a is positive.\nAnswer: a**(-5472\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 204 and 1632?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from drdeerdyeederry. Give prob of picking 1 e and 1 r.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 3 + 5*p - p + 4*p. Let i = 2 + 4. Is m(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -166964.4 - -7359.29?\nAnswer: -159605.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 7*l - 71. What is the remainder when a(21) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nm when two letters picked without replacement from {p: 2, y: 2, n: 2, m: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -0.2 (b) -3 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -2*i**3 - 11*i**2 - 6*i - 3. Let h be c(-5). Suppose -4*f = -y + 96, -201 = -2*y + 7*f - h*f. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5457058, -5457059, -5457060, -5457061, -5457062, -5457063?\nAnswer: -5457064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 - 55 - 63)*(1 - 1 + 2)*(-2*j**4 + 2*j**3 - 2*j**3).\nAnswer: 492*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 1 + (154\/(-66))\/((-2)\/(-6))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 437 = -r, 4*c - r - 865 = 2*c. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = w**3 - 32*w**2 - 35*w + 56. Give n(33).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*y**2 + 10*y**2 + 4*y - 3*y**2)*(-y - 2*y**2 + y).\nAnswer: -24*y**4 - 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -14*i**6 + 4*i**2 + 22*i**6 - 2*i - 59*i**5 - 13*i**6 + 7*i**6 - 317 - 6*i**2 - 10*i**3 wrt i.\nAnswer: 240*i**3 - 3540*i**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 + -40 + -20 + 18 + 19\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2410 - -4323240?\nAnswer: 4331200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -54 by 605491.\nAnswer: -54\/605491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 + 2 = -r. Suppose r*a + t = 6, 0*a + a + 3*t = -6. Solve -d - 4*p = -0*d - a, -4*d + 12 = 3*p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, -8285, -4 in ascending order.\nAnswer: -8285, -12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-35*f**2 - 28*f**2 - 4*f**2)*(1 - 5 + 3 + (2 - 1 + 1)*(4 - 2 - 1) - 1 + 0 - 8)*(2*f + f - 2*f).\nAnswer: 536*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = -942 - -946. Let n = -28 + 27.6. What is the third biggest value in n, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 125*m = 117*m - 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7928466mm to micrometers.\nAnswer: 792.8466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -5405.8*0.6859\nAnswer: -3707.83822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = w**2 + 33*w - 274. Let u(t) = 13*t - 3. Calculate the remainder when u(2) is divided by j(-40).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 3 - -2133077?\nAnswer: 213307a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -31.95 - -28.95. Which is the closest to 4\/9? (a) t (b) -2 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by 381.\nAnswer: -5\/381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*t - 35 = 37. Let m(z) = -z**3 + 14*z + 4 - 7*z**2 - 4*z**3 + 9 + 4*z**3. Is m(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0 + 159340*b**3 - 4*b - 159342*b**3 + 2 + 3*b - 349*b**2 as y + a*b + z*b**2 + u*b**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 11498655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 5*i + 9. Let r be 2 - 2 - i - -1. Solve 15 = r*w - w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 8 - 4. Suppose -t*h = -3*z - 316, -36 = 5*h - 4*z - 431. What are the prime factors of h?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*g + 5*g + g)*(-5 + 4 + 3).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 v and 1 e when four letters picked without replacement from vvevve?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 2712773 (b) -3 (c) 0 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = p**3 + 2*p**2 - 12*p + 24. Let g be o(6). Suppose t = -t + g. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6369 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 1111*f + 81*f**2 - 26*f**3 + 3600 + 42*f**2 - 2*f**4 + 1009*f - 7*f**2.\nAnswer: -2*(f - 9)*(f + 2)*(f + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 25 - 41. Which is greater: k or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0\/3 - 2 - -9. Let i = -40 - -43. Which is the biggest value? (a) n (b) i (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -523*k - 87. Let w be c(33). Let r = w + 9316. What is r rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 482471427*g**3*s - 4*g**2*s + 2*g**2 - g - 46492*s - 9 wrt g.\nAnswer: 2894828562*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9\/12 - (-36)\/16 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -10 + 15. Suppose u = k*u. Suppose i - 2 = 3. Solve u = -0*j - j - i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -b**3 + b**2 - b + 10. Let i be l(0). Let q = i - 4. Let g(s) = s**3 - 6*s**2 + 2. What is the units digit of g(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f + 5. Let b(p) = 1. Let o(y) = 4*b(y) - s(y). Suppose 0 = -4*n + 28 - 0. Let a be o(n). Solve 0 = 4*r - 4*w, -r - 4*w + 2*w = -a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -158, -155, -140, -107, -50?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3 + 8. Let h = 0.113 - 5.213. Let p = f + h. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-10)\/(-2) - (9 - 10). Solve 2*d + 5 = -b + s, -3*b = -2*d + 21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 168805.\nAnswer: 5, 7, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -5 - 54*t - 62*t + 2 - 2. List the prime factors of a(-1).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-63)\/(-3))\/((-3)\/2). Let b be 60\/14 - (-4)\/x. Suppose 5*k - b*k = 16. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -36 + 50. Suppose 15*i - 4 = o*i. Let s(l) = -2*l + 3. Let a(h) = -4*h + 6. Let g(w) = -6*a(w) + 11*s(w). What is g(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j\/(((j**(-2\/3)*j)\/j)\/j)*j*j)\/j)**(-1\/17)\/(j**1*j)**49 assuming j is positive.\nAnswer: j**(-5012\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -6*s**2 - 25*s + 3. What is f(-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that x**5 + x**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 355*t = 378*t - 1111337. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t, 1 d, and 1 y when three letters picked without replacement from {d: 1, y: 3, t: 16}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 297*m - 706. List the prime factors of u(9).\nAnswer: 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -72, -145, -218, -291, -364?\n\"Answer: -73*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -7 in 3, 0.09, -10, -5, -0.1, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11*(-1)\/2*-2*2 is divided by 0 + -2 + 13 - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 2*d = -18, -3*x - 3 = 5*d + 1. Let l = x + -6. Put l, 2, -2 in decreasing order.\nAnswer: 2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 3359, 13603, 30675, 54575, 85303, 122859, 167243?\n\"Answer: 3414*g**2 + 2*g - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -40? (a) -2\/79 (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 2*h**2 - 4*h - 10. Let n = -21 + 26. Calculate the least common multiple of s(n) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*f - 4*k + 288, 0*k + 153 = 2*f + 5*k. Suppose 2*t + f = 181. Suppose 0 = -4*q + t + 20. Which is smaller: q or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**(3\/4)*u*u\/u**(-2\/57)*(u**(3\/44)\/u)\/(u\/((u**(-8)*u)\/u)))**(-28) assuming u is positive.\nAnswer: u**(107912\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 127 divide 8636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11*r**2 + 6 - 8 - 4*r**2 - r + r**2 + r + (-r - 5 + 5)*(5*r + r - 3*r) to the form q + c*r + b*r**2 and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 232*p + 199. List the prime factors of u(11).\nAnswer: 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by 522160\nAnswer: 3\/522160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-20 + 20 + 4*w)*(-3*w - w + 7*w) - 5*w**2 - 99*w**2 - 49*w**2 + 26*w**2.\nAnswer: -115*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -4*c + 4. Let o be j(-4). What is the highest common divisor of o and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -5 (b) -1\/4 (c) 61\/4 (d) -2\/2533 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve v = 13*q + q - 70, -3*q + 15 = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -299, -267, -237, -209?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -191, -766, -1725, -3068, -4795, -6906, -9401?\nAnswer: -12280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 1028922, 1028928, 1028934, 1028940, 1028946?\n\"Answer: 6*t + 1028916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10669650 or 10669657?\nAnswer: 10669650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00001212 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*x**2\/5 - 136*x\/5 - 56.\nAnswer: 2*(x - 70)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 3*p**2 + 18*p - 9. Let l be j(-8). Suppose 0 = 3*w + 4*u - l, 2*w - u = -2*u + 26. Solve -5*s + 10 = -f, 3*s + 4*f - w = 6*f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2 + 2240?\nAnswer: 2242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(1\/4)*c**(7\/4)*c**5*c\/(c\/((c\/(c*c**(-12)\/c*c))\/c))*c assuming c is positive.\nAnswer: c**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*d - 278*d - 34*d - 62*d - 48*d - 76*d.\nAnswer: -488*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.031 - -1. What is m rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 3, -0.04, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*d*n**4 + 110*d*n - 1132*n**4 + n + 5 wrt n?\nAnswer: -24*d*n**2 - 13584*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000634 rounded to six decimal places?\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -43 (base 12) to base 10\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = 19818 - 3466. Suppose -10*r - 13 = -11*r. Suppose -r*v = 1098 - a. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 335 - 168. Let i = -166.9999961 + g. Round i to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 2*o**3 - 23*o**2 + 56*o + 52. Does 15 divide f(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 14 = 6. Suppose y = 4*y - 9. Which is the nearest to -1? (a) y (b) p (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 5*c = -2*k + 132, 3*c = -k + 48. Suppose 2*d + 2*d - k = -3*n, 3*d = 9. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1336164 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -79, -388, -1235, -2890, -5623, -9704, -15403, -22990?\n\"Answer: -45*h**3 + h**2 + 3*h - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 23 + 1516?\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/(z*z*z**1))**23\/(z**(-6)*z**(1\/3)*z) assuming z is positive.\nAnswer: z**(-124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 152*o**2 - 9*o - 1. What is the remainder when 706 is divided by p(1)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -2*c**3 + 2*c**2 - 6*c - 19. Determine x(-5).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 60 - 39. Suppose -12 = -t + 3*z, 5*t + z = 3*z + y. Solve -3*b - 3 = -3*n + 18, n = -t*b - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5ea (base 16) in base 5?\nAnswer: 22024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000629882 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 6566*-109\nAnswer: -715694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Subtract -2139.1858 from -23307.\nAnswer: -21167.8142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + sqrt(405)*1)**2 + -2 + sqrt(405)*-2)*5.\nAnswer: -270*sqrt(5) + 2035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111011001110100101101100 + -111?\nAnswer: 111011001110100101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*k + 2 = -40. Find the second derivative of 1 + 4*u + 5*u - k*u**5 - 1 wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 100 a factor of 66252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -8*m**3 + 177*m**2 - 24*m + 43. Let q be o(22). Which is smaller: q or 10\/1331?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4 + 2)\/(-1) - -1. Let i be (f\/6)\/((-2)\/4). Put 0, i, -0.4 in descending order.\nAnswer: 0, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 10*x + 3*x**2 - x**3 + 4 + 6*x**2 - 6 - 2. Let m be v(10). Let k be (-36)\/((-1)\/(m\/(-6))). Solve 5*y + d + d - k = 0, -y = -5*d + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (187631 - 306*h**2 - 187631)*(8 - 8 + 4*h) in the form p + a*h**3 + j*h**2 + k*h and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7 + 9. Suppose i*n + 6 = 10. What is the second derivative of -21 + 7*j**n + 5*j + 21 wrt j?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7 - -18. Calculate the remainder when d is divided by 9\/12 + 66\/8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13203 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 79800 = 83*p + 12*p. Calculate the remainder when p is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/27 (b) 3 (c) -2 (d) -22 (e) -9 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.43 - 0.23. Sort 0.16, y, 0.5 in descending order.\nAnswer: 0.5, y, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7729 + 7730. Which is the second smallest value? (a) 5 (b) r (c) 11\/8 (d) 0.2 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*d = -3*d + 24. Suppose 10 = -2*w + 5*c, -5*c = -3*w - d*w - 25. Let a = 55 + w. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -14*f + 1. Let u(g) = -g - 3. Let i be u(-2). Let o be a(i). Suppose -2*z + o = -z. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 19, 2\/9, -16 in descending order.\nAnswer: 19, 2\/9, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h**2 - 2. Let n be i(-2). Let g = 4 + n. Let b = g + -5. Is b smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5687 - 38*i - 2887 - 2850 to the form u*i + z and give z.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -17 + -3 + (52 - 87) + 44 + (1 - 26).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = n - 0*n - 8. Let x = -507 - -522. What is the remainder when x is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the second derivative of -5*y**4\/3 - y**3 - 318*y. Let w(a) = 20*a**2 + 7*a. What is -7*h(n) - 6*w(n)?\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 4*n = -70, 4*n - 8 = -0*n. Suppose 0 = -5*d - 2*w + 2244 - 539, 5*d + 5*w - 1705 = 0. Calculate the highest common factor of a and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2*c**3 + 2)*(6*c + 0*c - 1 - 7*c)*(-15 + 8 - 27).\nAnswer: 68*c**4 + 68*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -2*q. Let x(a) = -17*a + 25. Let w(z) = 28*z - 39. Let t(b) = 5*w(b) + 8*x(b). Determine t(n(k)).\nAnswer: -8*k + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -45*y + 5. Let q(x) = 1. Let p(m) = j(m) - 5*q(m). Let n(c) = -662*c - 626*c + 1290*c. Give n(p(k)).\nAnswer: -90*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 14*k + 12. What is j(4)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1075, 1516, 2709, 5032, 8863, 14580, 22561, 33184?\nAnswer: 46827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 46468*h**4 + 113964*h**3 + 63084*h**2 - 29852*h - 25440 = 0 for h.\nAnswer: -1, 6360\/11617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = -3*x + 1321, 0*x + 4*q + 1764 = 4*x. List the prime factors of x.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1717 in 0.3, -1\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23 + 90 - 24 - 48 - 33 - 435*m + 437*m.\nAnswer: 2*m - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 8) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*h - 28*h = -45. Calculate the smallest common multiple of h and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 2*j + 74 = 2*v, 113 = -3*v + j. Let l = v - -42. Suppose -l*m + 4 = -60. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6723*w**2*z**2 + 8*w**2 + 3*w*z**2 + 6802*z**2 wrt w.\nAnswer: 13446*z**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -1 + 1 + 2*s. Let w(d) be the third derivative of -d**5\/12 - 23*d**3\/2 + 40*d**2. Let z(v) be the first derivative of w(v). Calculate t(z(k)).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (-456)\/(-4617)*((-6)\/(-20))\/((-18)\/(-45))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ubnuuzbmbbuuumz. What is prob of picking 3 u?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -3, -0.3, -2, 4, -505\/4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2072 = -61*a + 33*a. What is the remainder when 233 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d + 8*d + 24*d)*(-4*d - 8 + 8).\nAnswer: -124*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (138\/(-5))\/(1\/2*-32*297\/15840).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = -11 + 15, 3*q + c = 10. Let k(s) = 2*s**3 - 5*s**2 + 3*s. What is k(q)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 2126*u**3 + 340*u**2 + 3. Let r(g) = 8516*g**3 + 1360*g**2 + 13. Let f(l) = -9*k(l) + 2*r(l). Find the third derivative of f(s) wrt s.\nAnswer: -12612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + 1 + (-8 + 17 - 10) + -13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 142955579 rounded to the nearest one million?\nAnswer: 143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 864905*g - 864901*g - 12 = -3*r, 3 = 3*r + g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000619 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*n**2 - n**2 + 3*n**2 + (-3 + 3 - 4)*((-2 + 4 - 1)*(-2*n**2 - n + n) - 3*n**2 + n**2 + 3*n**2 + 8*n**2 + 6*n - 6*n).\nAnswer: -29*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 7995*b + 68993 with respect to b.\nAnswer: 7995","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f + a = -4, 0 = 5*f - 13*a + 16*a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 8 + 3 + -57 + 49\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 510 - 1?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -114 = -5*o + 6. Let d(m) = m**3 - 9*m**2 + 7*m + 8. Let k be d(8). Suppose -3*v = -k*v - 279. What is the remainder when v is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-44)\/198 + 7\/45?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 - (16 + -42 + 30)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 2*p + 29. Let r be b(-17). Sort -0.4, 0.2, r, -10 in decreasing order.\nAnswer: 0.2, -0.4, r, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 7 - 13\/(65\/(-25)) and 166\/6 + 6\/(-9)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*v - 4*y - 33 + 23, -11 = -v - y for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2213 - 16113 = -25*j - 1400. What is the lowest common multiple of 400 and j?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 610718.5 or 10\/9?\nAnswer: 610718.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-63)\/57)\/1 - -1. Let z = -740 - -743. What is the third smallest value in z, 1, p, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -16 + edc?\nAnswer: ec6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 47129\/65 - 725. Let o = -118\/195 - k. Which is bigger: o or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 1, w: 7}. Give prob of sequence www.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 85 divided by -4.\nAnswer: -85\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 462, -2\/3, -5, 4\/3, -0.93, 3\/5, -3\/8?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 272 a factor of 645816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -4*-4*(-1)\/(-64)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3233 = -3*s + 4*o, 3*o = -3*s + 1977 + 1284. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.132*-108.9\nAnswer: -14.3748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*x - 28 + 15 = 0. Do x and 2\/805 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that 102\/11*m**3 + 64\/11 - 192\/11*m - 14\/11*m**4 - 140\/11*m**2 = 0.\nAnswer: -1, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 28 and 2310?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -y**3 + 19 - 181*y**2 + 181*y**2 in the form f*y**2 + v*y + o + k*y**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Do -210\/17 and -13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -1. Suppose -26*u + 64 = -10*u. Suppose 0 = -2*t + 3*b - 4, u*b + 10 = -5*t + 3*b. Let n(i) = i - 1. What is t*n(l) + 4*d(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (-3*sqrt(539))**2 + 2*3*sqrt(11) - ((sqrt(121) + (sqrt(121) - 3*sqrt(121)*-3) - sqrt(121))\/(-3*sqrt(1100)))**2.\nAnswer: 6*sqrt(11) + 43684\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 213.40881 months?\nAnswer: 1.77840675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 566 or 22093\/39?\nAnswer: 566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = -569\/420 + 29\/20. Sort 0.4, 3\/4, z, 1\/2 in ascending order.\nAnswer: z, 0.4, 1\/2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-6210)\/(-40))\/23*24\/9\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-126)\/(-15))\/((-6)\/(-40)). Suppose -13*m + o = -139. Solve -4*v - d + 0*d + m = 0, -2*v - 3*d = 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 0 - -186?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 186736 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 186 and 16.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 442742 is divided by 5983?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -434 or 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9592953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n*n\/n**(1\/2)*n)**(-2\/29)\/(((n**(-4)\/n*n)\/n)\/n**5))\/((n**(2\/3))**(-2\/17)\/(n**(-4)\/n**(-1\/4))) assuming n is positive.\nAnswer: n**(36011\/5916)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1617 + -6?\nAnswer: -1623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s**3 + 7*s**2 - 130*s + 8. What is k(13)?\nAnswer: 1698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3458*m - 158441 = 5513 + 19320 for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of j**5*k + 125563*j**4*k + 97*j**2*k - 2*k + 49 wrt j?\nAnswer: 60*j**2*k + 3013512*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 135 - 197 = -4*l, 86 = l - 2*c. Suppose -1104 = -6*b + 510. Let x = 313 - b. Calculate the remainder when l is divided by x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -p**2 - 9*p - 2. Let b be y(-9). Let i be 2 + 1 + (b - -2). Suppose m - 3*m + 44 = i*q, 5*q = 20. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 120857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -3a - 1c?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-520)\/208*4\/(-10))\/(-11).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 14*k - 75. Let q be z(5). Let o(j) = 4*j - 2. Let n be o(4). Let v = n + q. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s**5\/5 + 15549*s**4 - 1510954607*s**3\/5 - 4535507253*s**2\/5 + 7554773160*s + 22667818140 = 0.\nAnswer: -5, -3, 5, 38874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*j + 2849 = 15*j. Let s = j - -439. Solve 4*g - s + 12 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -51\/129584 and 105\/53222.\nAnswer: 2980432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from atatqtqqtkqatakttq. What is prob of sequence qk?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22532 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be (19\/(665\/(-504)))\/(4\/(-30)). Suppose -f = 41*z - 1174. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from ffcfpicigfccfiu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -16 + 6a?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5708 - 5708 - 3*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -42729453*p**2 + 107773307 wrt p?\nAnswer: -85458906*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4983807?\nAnswer: 3, 109, 15241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2362638301?\nAnswer: 2362638301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 34 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -3 + 122?\nAnswer: 11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r - 9 - 10 - 17 = 8*x, 3*r - 106 + 153 = -5*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 5*h**3 - 4*h**2 + 2*h. Let z be 2\/(-5) + 104\/10. Suppose 2*f = -3*f + z. Is n(f) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 51579766.56 + -3?\nAnswer: 51579763.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1)\/(-3) - (-10)\/6. Suppose 4*b - s*b = 8. Let c = 3 - -1. Solve 0 = -0*y - c*y + 4, 0 = -q + b*y - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + 3*(sqrt(192)*2*-2 + sqrt(192)))**2.\nAnswer: 576*sqrt(3) + 15568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**27*p**(13\/7) assuming p is positive.\nAnswer: p**(202\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -50 (b) -2\/23 (c) -4 (d) -0.0459\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(567) + -2 + sqrt(567) + 2 + (sqrt(567) - (2*sqrt(567) + -2)) + 0 + 0)**2.\nAnswer: 108*sqrt(7) + 1713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrrufufrrrr. Give prob of picking 1 f, 2 r, and 1 u.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 11, -15, -2, -24, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i**2 - 4*i + 5. Let d be z(-5). Suppose -4*p = -5*c - 1165, 3*c + 3*p + 672 = -d*p. Is (-4)\/(-14) - c\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) -2\/19 (b) 0.5 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -2528\/7753?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express x**2 + 2 - 2 + ((0 + 1 - 2)*(-6*x + 4*x - 5*x) - 1 + x + 1)*(x + 2*x - 2*x) as z*x**2 + r + i*x and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = 117 + -72. Suppose -8*z - i = -11*z. What is the second derivative of 0*m**3 - 7*m**3 + 16*m - z*m wrt m?\nAnswer: -42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**4\/w**10 assuming w is positive.\nAnswer: w**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 11 = -4*v, 4*a + 22 = 6*a + 5*v. Put 0.5, a, -1\/16 in decreasing order.\nAnswer: a, 0.5, -1\/16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -53\/7 less than 0.1835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = -11263534\/111 + 101474. Let s = d + -1525\/148. Find the common denominator of s and 49\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -78*o = -41*o - 44*o - 3*u + 99, -4*u = -3*o - 132 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 1, o: 4, d: 4, c: 6}. What is prob of picking 1 p and 2 o?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -1.73 equal to -365635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -y**2 - 14*y - 51. Let z be a(-7). Let k(t) = t**2 - t + 2. Determine k(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1\/(-1) + 0)*-10*18\/60. Let j(b) = -b + 3. Suppose 5*h = -2*n + 6, h = n - 4*h + 12. Let u(t) = -5*t + 16. Let w(l) = n*u(l) + 11*j(l). Calculate w(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b - 16 = -35. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4210?\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 63 and 54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -2*g. Suppose 2*d - 4 = 2. Let a(i) = -i + 4*i - d*i - i. Give h(a(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1403924601.\nAnswer: 3, 467974867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 301302371 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 7747215793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 13\/5 (c) 1\/5 (d) -4\/7 (e) 309835\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 258, -1708, -4980, -9552, -15418, -22572?\n\"Answer: q**3 - 659*q**2 + 4*q + 912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j**3 + 207*j**2 + 3098*j + 41857. Determine h(-192).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 2*h - 19. Let p(i) = i + 1. Suppose 137*r = -130*r + 284*r + 102. Calculate r*p(m) + 2*z(m).\nAnswer: -2*m - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) 0.1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 555819371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the second derivative of h**5\/20 - h**4\/12 - 14*h. Let n be s(3). What is the greatest common factor of 27 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4.31 + 1.26. Let s = 0.05 + c. What is the second biggest value in s, -2\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -875 + 874.69. Is q greater than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.27844 months to decades.\nAnswer: 0.018987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -i. Let t be 6 + 4\/(-2) + 20. Let c(q) = -242 + 242 - t*q. Determine w(c(k)).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 873841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3.5 in -2, 145, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -97\/27540450 and -173\/6300.\nAnswer: 55080900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25162577 is divided by 1974?\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -2 (b) 23 (c) -5\/4 (d) 284 (e) 0.3 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -1042303332 (base 5) in base 14?\nAnswer: -4408d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3279182 is divided by 2992.\nAnswer: 2942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -3822 (b) -1 (c) -152 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 25914 divided by 3\nAnswer: 8638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 0.4238692 nanograms?\nAnswer: 0.0000000000000004238692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 54751770 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -6, -2, 4, 12, 22?\n\"Answer: i**2 + i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 96 and 1062?\nAnswer: 16992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7960 is divided by 7952.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -68*k**3 + k. Let p be o(-1). Let u = 17 + p. Is (-3)\/((-9)\/u) + -2 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -53 by -2815.\nAnswer: 53\/2815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/86352846 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*s + 6*z - 120, 4*s + 26*z - 140 = 22*z. Solve -g - 3 = -2*i, -7 = 31*g - s*g - 4*i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 259\/37*(-1 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**2 - 7*p + 12. Let c be g(6). Differentiate -4 + 1 + 1 + c*b wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24559862 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 355736 and 3816?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2001 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: What is 0.0912 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/3, 38\/7, -256 in descending order.\nAnswer: 38\/7, 1\/3, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35*a = -45 - 26 + 1. Let h(m) = -m. Let x(l) = -5*l. Give a*h(b) - x(b).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from esssessseeeseseees. What is prob of picking 3 e and 1 s?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -10.586 - -10.686. What is the smallest value in -0.1, i, -2, -1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3, 7, 37, 99, 205?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 221781496 and 24.\nAnswer: 665344488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5 + -12217?\nAnswer: -12224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5791206?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -57, 3, -36 in increasing order.\nAnswer: -57, -36, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 578374 divided by -1.\nAnswer: -578374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5042 and 40?\nAnswer: 201680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by 46657.\nAnswer: -1\/46657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*s**4 + s**4 - 2*s**4 + (-4 + 1 + 1)*(s - 1 + 1)*(0*s**2 + 3*s**2 - 4*s**2)*(5*s - 4*s + 4*s) + 343*s + 122*s**4 - 343*s.\nAnswer: 134*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bu when two letters picked without replacement from buu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.057 - 0.063. Let t = 1.72 + v. What is t rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -741723\/25 + 29669. What is the biggest value in 104, 5, c?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -5\/89?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 5) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1\/1)\/(6\/18). Let i = 0.04 + 0.46. What is the nearest to -20 in 4\/3, i, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 51*s - 56*s = -162*l + 249, 2*l - 6*l + 2*s - 4*s = -38 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -4 + (6*(1 + sqrt(1100) + -3 + sqrt(1100) - sqrt(1100)))**2)*-5.\nAnswer: -198675 + 7200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*o - 10, -5*g = 9*o - 7*o - 935. Suppose 0 = -5*s + 5*c + g, 18*s + 115 = 21*s - 5*c. Solve -4 = s*w - 31*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 4*m + 9. Let z(o) = -o - 2. Let n(j) = 2*h(j) + 9*z(j). Let x(q) be the second derivative of -q**4\/12 + 6*q - 4. Calculate n(x(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 308 - 4*d - 65*d**2 - 127 - 8*d + 12*d - 180.\nAnswer: -65*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m + 7*m - 3 = 0. Suppose 4 = m*l + 1. Let z = l - 5. What is the smallest value in 4, 0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/12*-3*5. Suppose t = 6*t + 5*u - 4705, 0 = y*u - 20. Suppose i = -t + 67. Round i to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -100 + -110011211?\nAnswer: -110012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-45)\/(-18) + 2\/4. Solve -3*s - 2 + 8 = -2*a, 2*a - 18 = -x*s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(3)*2 + 3 + 2*sqrt(3))**2 + 1.\nAnswer: -36*sqrt(3) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 909668676 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 519583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 298 + 282 = 0. Let h = -76 + 80. What is the closest to 0.2 in m, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -200 - -185. Is (-213)\/(-2) - x\/(-10) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mme when three letters picked without replacement from mnttttxetxxxttmnf.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 35 = y + 2*r, 28 = -4*y - r. Calculate the smallest common multiple of (-855)\/(-165) + (-10)\/55 and 2 - 2 - (y - 1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 137, 153, 183, 233, 309?\n\"Answer: b**3 + b**2 + 6*b + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 333, 1815, 4279, 7719, 12129?\nAnswer: 17503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (641 + 1627 + 563 + 1781)*(-3*d + 4*d + d) to the form h*d + c and give h.\nAnswer: 9224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:07 PM and 6:09 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = -105.066 - -104.166014. Let a = -33.9 - -33. Let u = m - a. Round u to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -10 + -317670?\nAnswer: -317700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 34 = 2*c, 5*t = 3*c - 6*c + 18. Suppose 2*h + 16 = -2*h + 5*p, 5*p = -h + 21. What is the least common multiple of h and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1895)\/1830 + (-4)\/(-24). Are -2 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 46 + -228\/5. Let h = 0.3 + -1.3. Which is the closest to 2\/5? (a) m (b) 0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 61 + -109. Let j(w) = 2*w**3 + 2*w**2 - 2*w + 4. Let f be j(3). Let g = f + t. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2\/(-1)*(-22)\/(-4). Let n = a + 12. Let o = -38 + 43. Solve o*y - 3*t = -0*y - 18, -n = -y - 4*t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 180 - 180.1. Which is the second smallest value? (a) 2 (b) -1 (c) -3 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -909*k**4*p - 22195*k**2*p**3 - 11*k*p + 5*p**3 - 280732*p wrt k.\nAnswer: -10908*k**2*p - 44390*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3483 - 1288*q - 1327*q + 247*q - 6959 + 3476.\nAnswer: -2368*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 729897 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kazf when four letters picked without replacement from faaffzafaka?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = k + 2*k. What is the common denominator of 9\/(-6)*k\/(-6) and 73\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23 + 1 + 2 + -16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add together -14 and 60795347289.\nAnswer: 60795347275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out -2132 - -7.\nAnswer: -2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.8 in 8, 5\/2, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 46514 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3588 = -109*q + 568*q - 13227 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 5058513 rounded to the nearest 1000?\nAnswer: 5059000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**2 + g - 1. Let b(w) = 3 - 3 - 1 + 0. Calculate -b(p) + v(p).\nAnswer: p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) be the second derivative of -1\/20*o**5 + 15*o + 0*o**2 + 11\/12*o**4 + 4*o**3 + 2. Find the second derivative of i(m) wrt m.\nAnswer: -6*m + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3032000 - -1010?\nAnswer: 3033010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out 22707 - 10163.584.\nAnswer: 12543.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are 54235 and 54235 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -14, -52, -90, -128, -166?\n\"Answer: -38*r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5 - 7. Let o = 6 + m. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 60450029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*a - 3*a - a**4 + (2*a**3 - 3*a**3 + 3*a**3)*(-a - 2*a + 4*a) + 3*a**4 - 39*a**3 + 39*a**3 - 2*a.\nAnswer: 4*a**4 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 495.6046 days in nanoseconds?\nAnswer: 42820237440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.01307955052 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17*-1089.5.\nAnswer: 18521.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -17734, -35387, -53040?\n\"Answer: -17653*w - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the first derivative of 0*x + 3 - 1\/3*x**3 - 1\/3*x**2 - 1\/12*x**4. What is z in o(z) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 11 + -15. Let w = 2 + -9. Let j = w + 20\/3. What is the smallest value in j, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*s - 61*s + 24*s + 23*s - 4*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 7*p**2 + 13*p + 13. Let g(k) = 3*k**2 + 6*k + 6. Give 13*g(a) - 6*l(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -5, -0.1, -3727?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be -15*((-24)\/60 - (-2)\/10). Let f(v) be the first derivative of 5 - v - 2\/3*v**x + 0*v**2. Differentiate f(w) with respect to w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -853 + 863. Suppose -2*c - q = -7*c. Factor -6\/11*i**c + 12\/11*i**3 + 0*i + 18\/11*i**4 + 0.\nAnswer: 6*i**2*(i + 1)*(3*i - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-119)\/(-6)*(-66)\/(-21692)*174.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -144*o - 7*o - 48 = -954. Solve -4*i = -q - 14, o*q = 8*q - 4*i + 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*g + 5, -6*j + g + 131 = -j. Suppose 4*a + i - j = -4*i, 0 = -5*a - 5*i + 30. Solve -a*r = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen twelths of a year in months?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2810 is divided by 1386?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 22886 and 2.\nAnswer: 22886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 587 minutes after 3:55 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -40*w. Let c(y) = -27204*y**2. Determine c(u(l)).\nAnswer: -43526400*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -13*t**3 + 11 + 11*t**2 - 3*t**3 - 5*t**2 - 6*t. Let k(y) = 3*y**3 - y**2 + y - 2. Let o(j) = 2*j**2 - j - 4. Let d be o(3). What is d*k(g) + 2*h(g)?\nAnswer: g**3 + g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the third derivative of -q**5\/60 + 7*q**4\/24 - 5*q**3\/6 + q**2. Let x be u(5). Suppose -x*t + 0*t = -400. What is t rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 864 - 619. Is x greater than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7479 - -6124. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t**3 - t**2 - 9*t - 3. Calculate the remainder when u(4) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 3*s + 19. Determine o(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 234154 is divided by 16697?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out -18 * -1147.9.\nAnswer: 20662.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 36, 78, 130, 192, 264?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.108 - -0.508. Which is the fourth smallest value? (a) 0 (b) -2 (c) n (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001181348 rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 6 = -4*t, 4*b = b + 6. Let k = 17 + -8. Let s = 5 - k. What is the smallest value in s, t, 3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -20*z**3 + 4*z**2 + 5*z - 3. Let s(m) = m**3 - m. What is k(d) + 4*s(d)?\nAnswer: -16*d**3 + 4*d**2 + d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -251 - -224. Let g(f) = -2*f**3 + 18*f**2 - 3*f + 2. Let r be g(9). Are r and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -23 + 26. Suppose a - 81 = -j*m, 20 = a + 2*m - 56. What are the prime factors of a?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -25848 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 577.5109 litres in millilitres?\nAnswer: 577510.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 85\/3036 and 61\/69678684.\nAnswer: 766465524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -300 + 120?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 - 8 = -4*c. Let h be (-3 - 1)*7\/(-14). Sort 1\/6, c, h in decreasing order.\nAnswer: c, h, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 119 - 24 = 0. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 359 minutes after 10:21 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4838, -19695, -44456, -79121, -123690?\nAnswer: -178163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = x**2 - 12*x + 6. Let g be c(7). Let n = -15 - g. Suppose 4*q - q - 2*y = 34, -2*q - 5*y = 9. Calculate the remainder when n is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 - 1. Let k be (240\/25)\/(p\/(-10)). Suppose -4*h = -h - k. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 10 - ((-8 - -17) + -4). Sort o, 6, 163 in descending order.\nAnswer: 163, 6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**0\/(y*y\/y**13*y) assuming y is positive.\nAnswer: y**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-36*o**2 + 112*o**2 + 39*o**2)*(-6 + 4*o**2 + 6).\nAnswer: 460*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 783 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 32\/5 of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 83264 - 47593. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3 + -6. Sort y, -9, -1 in ascending order.\nAnswer: -9, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 142 and 21087.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1048 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 1712*q + 142730. What is l(-83)?\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (16\/10)\/(-4)*-10. Let w(l) = -3*l**3 - 3*l**2 + l + 1. Let f(t) = 8*t**3 + 9*t**2 - 3*t - 3. Let z(a) = p*f(a) + 11*w(a). Calculate z(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 51\/(-51)*(3 + (-2)\/(-2)). Let s be ((-8)\/c - -1) + 694. Suppose -s = -7*t + 878. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9259797?\nAnswer: 3, 3086599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00781 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l**2 - l + 2. Let r(s) = 2*s**3 - 3*s**2 - 174*s + 8. Give -4*q(g) + r(g).\nAnswer: 2*g**3 + g**2 - 170*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(55)\/(sqrt(125) - sqrt(5)) - (4 + -1 + sqrt(11)) - (-2 + 1*sqrt(33)\/sqrt(3) + sqrt(11))*6.\nAnswer: -51*sqrt(11)\/4 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d + 9. Let y be m(-8). What is the nearest to y in -0.5, -5\/3, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 3 + (-2*sqrt(343)*-2*-6*5)**2.\nAnswer: 4939206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y - 4*y - 3*h + 540, -908 = -5*y - h. Let t = y + -85. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zzzy when four letters picked without replacement from zzzyzyyzzz?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.2 (b) 10\/11 (c) 38\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (z + 6*z - 2*z)*((3 + 1 - 5)*(-z + 2*z + 0*z) + 0*z - 4*z + 3*z - 2*z - 2*z + 5*z + 3*z - 4*z + 3*z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 1, l: 1, o: 1, v: 2, q: 1, c: 2}. What is prob of sequence qzo?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -54, 67, -3, -24, 0 in ascending order.\nAnswer: -54, -24, -3, 0, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) be the second derivative of 0*s**5 + 0*s**2 + 0*s**3 - s + 0 - 1\/15*s**6 - 1\/12*s**4. Find the third derivative of z(m) wrt m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:57 AM and 6:54 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -39\/9227030 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 6132521651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7 - -10. Let l be ((-2)\/(-4))\/(b\/(-2280)). Round l to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -112 + 114 - 6*v**2 + 4*v**2 - 2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1529 - 998. List the prime factors of j.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 17 = 5*k + 3, 0 = 5*n - 2*k - 5. Which is greater: n or 2\/509?\nAnswer: 2\/509","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -13*f**3 - 128*f**2 - 283*f + 87. Give y(-5).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of m**4 - 46838*m**3 + 3107299*m**2.\nAnswer: 24*m - 281028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3)\/((-1)\/(2 - 1)). Solve -5*l + 5*h + 10 = 0, -4*h - 2 = -f*l + l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 29946 is divided by 14876?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22*b + 11*b + 25*b.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = 20039\/4 - 5010. Which is the second biggest value? (a) 5 (b) f (c) 3\/94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) be the second derivative of 1\/2*g**2 + 0 - 2*g + 1\/6*g**3. Let k be (-1 - 5)*(-3)\/6. Give w(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = h + 3*n + 6, 4*h + 5*n + 1 = -2. Suppose 15 = a + 2*x, h*x + 2*x = 0. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 2*r - 3. Suppose -2*j = 5*g + 12, g - 4 = -r*j - 0*g. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 292\/355 - -1046523\/3905. Suppose 0 = 2*q + 3*n + 526, 3*q - 2*n = 416 - 1231. Let s = q + d. What is the second smallest value in -3, 1\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 37, 0, -3 in ascending order.\nAnswer: -3, 0, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-2)\/(-4)*0 - (-135)\/9?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (120\/(-36))\/(1 - (-15)\/(-9)). Suppose 15*z - 10*z + 15 = -4*d, 3*z + w*d + 22 = 0. Solve y = -0 + 3, 0 = -4*o - 5*y - z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in -9, -1, 2\/7, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 79 = h, 2*h + 353 = -368*l + 373*l. What is the remainder when 406 is divided by l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26\/(-3)*3\/2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tdddcddct. Give prob of picking 2 t.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12\/14)\/((-93564)\/(-3164)).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 2*p**2 - 31*p + 114. Calculate d(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1 - -468?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/6, -0.2, 28, -55, 2\/21 in increasing order.\nAnswer: -55, -0.2, -1\/6, 2\/21, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u be 16 - (-72)\/(-9) - 12. Let p = -25 + 20. What is the nearest to -1\/4 in 2, p, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 13*h**3 + 2*h**2 - 7*h - 11. Let g(s) = 2*s**3 - 3. Let x(q) = 6*g(q) - 2*r(q). Factor x(j).\nAnswer: -2*(j - 1)*(j + 1)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 49 divided by -84386.\nAnswer: -49\/84386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(150) - 5*sqrt(150))*1)\/sqrt(5))\/((sqrt(80) - (sqrt(80) - 5*sqrt(80))*-3)\/sqrt(8))*-1)**2.\nAnswer: 48\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/(-1) + (-616)\/12*-3. Let v be (-2 + -101 + 3)\/(4\/f). Round v to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h + 9 = -3*v, -26 = -5*h + 5*v - 11 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.2, -2\/11, 0, 13.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -86*y = -44*y - 84. Which is the closest to y? (a) 25\/11 (b) -1\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 10 = 40. Suppose 2*f - t = 7*f. Let j = 2.5 + 0.5. Which is the second biggest value? (a) 5 (b) f (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(310\/(-31)))\/(72\/(-96))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-15)*v**5 assuming v is positive.\nAnswer: v**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 33955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 4990000 to the nearest 100000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + (-9 - 4) + 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the second derivative of 2*j**3\/3 + j**2 - 2*j + 117. Let z = -21 - -13. Let x = z + 5. Determine v(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 + (-3 - -2) - -2) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 16, 23, 40, 73, 128, 211, 328, 485?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -210\/11 - -1072\/55. Put 4\/7, n, -3\/2 in descending order.\nAnswer: 4\/7, n, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4 - w + 2*w + 6 + 4*w in the form q*w + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-32)\/(-144)*27)\/(-9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -6958, -8, 0, 4, 2, 1 in decreasing order.\nAnswer: 4, 2, 1, 0, -8, -6958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10, -14, -4, 26, 82, 170?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 147437622*o**2 + 251757110*o wrt o?\nAnswer: 294875244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1\/67 (b) 4\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 310*x + 720 = 230*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-30)\/3*(6 - (-75)\/(-10))\/(273\/(-1547))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-7)\/(-14)*(-158)\/4. Let h = -20 - d. Let v = -2242\/3 + 741. Calculate the common denominator of h and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*c + 1793 - 2799 = -1595 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 0 <= -1673971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(475)*4 + 1)*-2.\nAnswer: 8 + 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i and 2 n when four letters picked without replacement from iiiinni.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 788 bigger than 789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - s = 55. Is s - 6\/9*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 5*j + 6127 = 23176, 4*j = 3*m - 17049. What is the thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 18 + -52\/3. Let m = -47.096 - -47. Let p = 0.004 - m. Which is the second biggest value? (a) p (b) v (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4\/5*m + 4\/5 + 4\/5*m**3 - 4\/5*m**2 = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 89\/288 and 107\/1104.\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 382536 and 189.\nAnswer: 382536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = 27 - 35. Let l be (20\/(-8) - -2)*p. Solve d - l + 0 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 6878753 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, z: 3, u: 1}. Give prob of picking 2 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.2395 - 16.7605. Which is the nearest to 0.09? (a) 4\/5 (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o**3 - 36*o**2 + 124*o + 619. Give s(-39).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16910718?\nAnswer: 2, 3, 11, 23293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.01, -0.3, 1\/5, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 240483789 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1453.13689 + 0.06311. Round x to the nearest ten.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4*1\/(-2) + -15. Let w = j + 21. Let r(p) = 11*p**2 - 8*p + 11. Is r(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2*(-2)\/5 + (-1113)\/(-35). Suppose d + 2*i = a, -d - 5*i - 62 = -3*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 5 - 1 = 2*h, -4*h + 5*m = -14. Let u be (h\/2)\/((-2)\/4). Let n = -3.08 - -0.08. Put n, u, 2 in ascending order.\nAnswer: n, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11155, -11970, -13315, -15178, -17547, -20410, -23755, -27570?\nAnswer: -31843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -652.24 + 648. Let r = 4.240002584 + t. What is r rounded to 7 decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.76 (c) -3\/5 (d) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 118955.9756 to the nearest one thousand.\nAnswer: 119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -31703803400 rounded to the nearest one million?\nAnswer: -31704000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-44)\/6*(-7)\/(21\/(-9)). Let f be 107 - (4\/(-2))\/(-1). Let a = g + f. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 15a0787 + 23?\nAnswer: 15a07aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a**0)**50)**(2\/63))**25 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:19 AM and 4:05 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1 + 41655676?\nAnswer: 41655675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.051 and 150.195491?\nAnswer: 150.246491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(132)\/sqrt(3))\/(-2*sqrt(256)) - (sqrt(1584) + -1*-2*sqrt(1584) - (sqrt(1584) + (sqrt(1584) + 0)*-2))**2.\nAnswer: -25344 - sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from ffffffffffffhffffn.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.6 + 0.4. Let t be 15\/(-39) + 3 + -3. Let q = t - 3\/26. What is the smallest value in q, f, 4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = i**3 - i**2 + 1. Let z(s) = 2*s**2 + 1. Let p be z(-1). Let c(w) = -w + 2. Let t be c(p). Calculate j(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -53 times -2\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 13*f**3 + 6*f**2 + f - 6. Let k(q) = q**2 - 1. Let r(h) = -5*k(h) + p(h). Determine r(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 2453090 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 + 12 - -8 - (9 + -22 + 2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 33 + -46. Calculate the remainder when 151 is divided by 13\/u - (-27 + 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (k + 3*k - 3*k)*(-4 - 2*k**4 + 4) + (0*k + 0*k - 5*k**4)*(k + 0*k - 3*k) + k**5 - 2*k**5 - 4*k**5.\nAnswer: 3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/2, 6\/12599, -63 in ascending order.\nAnswer: -63, -3\/2, 6\/12599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 52340200 rounded to the nearest one million?\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 874.65 decades to millennia.\nAnswer: 8.7465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m**5\/2 + 1185*m**4 - 4749*m**3\/2 + 1188*m**2 = 0. Calculate m.\nAnswer: -792, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1077, -1, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11 + (9 + 8 - 16).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3937172 and 1600626.\nAnswer: 342533964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -938*c**3 + 4531*c**3 + 5908*c**3.\nAnswer: 9501*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 6303581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c**2 + 90*c + 691. Let r be x(-7). Solve i = 3*l - 17, 4*i + 2*l + r = -0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 + -2 + (-1 - -3). Suppose -s*k + 44 + 6 = 0. Suppose 2*m + 3*l - 1 = 3, 3*m = 5*l + k. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/32742 and -31\/3638.\nAnswer: 32742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1914372465 to the nearest integer?\nAnswer: 43754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in 21.4, 82, -3\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sum 1.956 and -1.2103.\nAnswer: 0.7457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 197*t. Let a(l) = 550231*l**2. What is a(z(q))?\nAnswer: 21353914879*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 6137*l - 4029*l = -29512 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -100 divided by -20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 185585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -18 + 23. Suppose -n*c + 10 - 90 = 3*p, 0 = -c + 2. Let a be ((-12)\/10)\/(9\/p). Calculate the greatest common divisor of a and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((sqrt(700) - (sqrt(700) + sqrt(700) + 0)) + 4).\nAnswer: -8 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/(-2) - (6 + -4). Let z = 5 + b. Suppose -3*l = o - 7, 0*o - z*l = 3*o - 49. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-60)\/(-112)*(-3 + 11) - 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.174062us in seconds?\nAnswer: 0.000000174062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/21*15*(-197)\/(-985)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -60.5 - -61. Suppose -2*j + 1 - 3 = 0. Sort 2\/5, l, j.\nAnswer: j, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h + h - 6. Let v(k) = -518 + 8*k + 2*k + 76 + 48 - k. Let p be v(44). Solve -b - h = 3*c + 8, -p*c - 25 = -3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 119*h - 136*h + 14 + 2*h**2 - 3*h**2. Let n be m(-18). Let f(i) = -13*i**2 + 7*i - 6. Let q(r) = 6*r**2 - 3*r + 3. Give n*f(t) - 9*q(t).\nAnswer: -2*t**2 - t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 7 * -363.\nAnswer: -2541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -0.26434 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Are 15 and 11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -47\/26210294 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-7)\/((-14)\/93) + 6\/4. Let i = c - 58. Let w be 336\/(-70) + (-8)\/i. What is the second biggest value in 0, -0.4, w, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 1, x: 1, k: 2, d: 2, l: 1, u: 1}. What is prob of picking 1 k, 1 l, and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 23*x - 20*x - 696. Suppose -2*y + 4*a + x = 0, 3*y + 110 = 4*y + 4*a. What are the prime factors of y?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*p**2 + 9*p**2 - 33*p**2 + 17*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:28 PM and 2:14 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -30 + -12114234?\nAnswer: -12114304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -15939, -15916, -15915, -15948, -16027, -16164?\nAnswer: -16371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 45995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0419757266 rounded to 5 dps?\nAnswer: 0.04198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j**3 - 143352*j**2 - 286695*j - 143346 = 0. What is j?\nAnswer: -47782, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = r + 16 + 5, 0 = 3*l - 5*r - 57. What is the highest common factor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = f**3 - 12*f**2 - 80*f + 338. Give a(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(6*sqrt(76) + ((-3*sqrt(209))\/sqrt(11))**2).\nAnswer: -342 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*w + 163 = -901. Let j = -73 + w. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 321 is divided by 176?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2568169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k**3 + 6*k**2 + 3*k + 31. Let o be l(7). Suppose -476 - 265 = -o*x. List the prime factors of x.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 82219380?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 79*o*q**3*t**2 + 24*o*q**3 - o*t**2 - 10*q**3 wrt t.\nAnswer: 158*o*q**3*t - 2*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 1 - 2)*(5*b + 0*b - 3*b)*(21*b**3 + 104 - 104) as z*b**4 + n*b**3 + d*b + f + i*b**2 and give z.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 15918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 17b + 30?\nAnswer: 1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -9\/371 - 3139\/130592. Calculate the common denominator of k and -113\/56.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -10 + 8.4. Let v = g + -0.4. Suppose -4*b - 3*w - 35 = -6*w, 5*b + 5*w = 0. What is the second biggest value in b, 0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 31 + -29. Calculate the remainder when 7 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 43 + (-9)\/(306\/1088). Let i = 34 - 23. Calculate the highest common divisor of f and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -16\/9 (b) -2\/3 (c) 2\/35 (d) 0 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3353252 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1623165 - 6?\nAnswer: 1623156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of -1911.97 and -12.\nAnswer: 22943.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2010000 - 2022?\nAnswer: 2000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = -7077\/8 - -886. Calculate the common denominator of y and ((-145)\/3)\/(-2 + 16\/4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cxvv when four letters picked without replacement from hscwcsvvx.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 2 - 3 = y, -2*y - 14 = 5*x. Let g(m) = -m**3 - 2*m**2 + 4*m + 3. Does 19 divide g(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1101001 + 110?\nAnswer: -1100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(9)\/sqrt(3))**2 + (2*(sqrt(3) + 1))**2.\nAnswer: 10 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 21199999 = a, 2*o - 4*a - 42399996 = -0*o. Round o to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 69757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y + 5. Let f(c) = -c**2 + c + 2. Let v be f(3). Let i be t(v). Let g be (i - 1) + -2 + 12. Solve 3*a + 24 = 3*s, 2*s - 2 = a + g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in seven halves of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 417641808?\nAnswer: 2, 3, 8700871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: ((-105)\/(-175))\/(2\/10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -3\/8, -1\/6, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-121)\/22*(-25098)\/2937.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -2.1662 to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of ((-6)\/(-60)*-12)\/(2\/(-15)) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3570 - 22*y**2 + 3585 - 7145)*((-3*y + 3*y + y)*(-2 + 2*y + 2) - 136 + 9*y**2 + 136) as m*y**4 + u*y + b*y**3 + q*y**2 + n and give m.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 97671089 minus -4.946?\nAnswer: 97671093.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1904699 to the nearest integer?\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cpcc when four letters picked without replacement from {c: 16, p: 4}.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -25365 bigger than -25364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 234947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -85\/188793828 and 59\/1772712.\nAnswer: 377587656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 64*f - 956983 = 592713. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the second derivative of c**3\/3 - 3*c**2 + c. Let a be g(5). Suppose 3*o - 32 = -346*w + 350*w, 0 = o - 3*w - 14. Solve -a*u - 12 = o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 179.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 51 = 13. What is the common denominator of -47\/12 and 11\/28*(-1 - m)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -37369 - -55745. List the prime factors of m.\nAnswer: 2, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 210124 (base 5) to base 13.\nAnswer: 31bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 55.45 - 55.464355. Round t to 4 dps.\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 177 divide 106654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -17*p**2 - 3*p + 2. Let i(y) = -18*y**2 - 2*y + 3. Let h(m) = -3*i(m) + 2*t(m). What is the derivative of h(u) wrt u?\nAnswer: 40*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 3*f + 7. Let v(n) = -n - 2. Let z(w) = -4*k(w) - 14*v(w). Let p(h) be the second derivative of 5*h**3\/6 - 2*h. Give p(z(g)).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - -6 - (-18 + 29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 + 16 = 7*t. Calculate the lowest common multiple of (-1)\/((8\/(-4))\/32) and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 56*b + 218*t = -222*t - 228*t + 663*t - 174, b + 5*t = 46 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2 + 2 - 0 - 1*-1. Suppose j + k = -4*a, -8*j = -5*a - 7*j - 13. Let f(y) = y**3 - 2*y**2 + 2*y + 2. Determine f(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*f + 12*f**2 - 485 - 430 + 910 to j*f**2 + u + z*f and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 2\/5, -11\/13, -0.3 in increasing order.\nAnswer: -3, -11\/13, -0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 12\/2 + (34 - (-19)\/1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*h + 11*h = f - 2159, 2*f - 5*h - 4373 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (12*3\/(-6))\/(((-938)\/35)\/((-16)\/80))\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j**3 - 98875*j**2 - 10634760*j - 286744860 = 0.\nAnswer: -19667, -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1 (b) 0.07 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 142987699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 18333029 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -2067 + -0.4602714\nAnswer: -2067.4602714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 22292, 22291, 22290?\nAnswer: 22289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*z**2 + 4119413936 - 4*z - 4119413936 + 7*z.\nAnswer: -9*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 7*u - 2*u - 6*u + (7*u + 0*u - 3*u)*(0 + 2 - 3) + 3 + 0 + u - 4 + (-2*u + 0 + 0)*(4 - 1 - 4).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = -3*n + 4*s, -6*s + 4*s + 7 = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (5714*g - 4464*g + 9016*g)*(-4 - 1 + 2).\nAnswer: -30798*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 829435887 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**2 - v. Let s(b) = 2*b**3 - 3*b**2 + b. Let w = -1578 + 1577. Give w*s(a) - 2*y(a).\nAnswer: -2*a**3 + a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 4*z**2 - 43*z + 5*z**2 - 11*z**2 as c*z**2 + i + s*z and give s.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 9 = -15*k + 12*k, -4*k = n - 12. Solve n = -2*g + 4*x - 6, -4*x = 5*g - 9*x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*x**2 - 634*x + 316*x + 318*x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*c**3\/7 + 48*c**2\/7 + 156*c\/7 + 144\/7.\nAnswer: 3*(c + 2)**2*(c + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 20*z - 16*z - 2*u - 22, 5*u + 5 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g**(-1\/3))\/g*g**41\/g assuming g is positive.\nAnswer: g**(119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 0 (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 78 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1498649308309\/6706971 + 56083291\/251. Let p = -2\/2969 + g. Find the common denominator of p and -4 - 1 - ((-12)\/9)\/((-12)\/(-82)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the third derivative of 0 + 1\/30*o**5 + 0*o**4 + o**2 + 0*o**3 + 0*o. Let y(g) = -4*g**2. Give u(y(z)).\nAnswer: 32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 0 + 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6 - -8. Let p be (o + -1)*(51 - 3). Let q = p - 36. What is the remainder when 43 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 812\/522 + (-26)\/9?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/(z**(12\/11)\/z))\/z)\/(((z\/(z*z**17*z)*z)\/z)\/z)*((z*z**(4\/5)\/z*z*z)\/z)\/(z\/(z**(-2\/3)*z)))**(9\/8) assuming z is positive.\nAnswer: z**(9921\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) be the third derivative of 0*l**3 + 0 + 0*l + 0*l**5 - 1\/84*l**4 - l**2 + 1\/210*l**6 + 0*l**7 - 1\/1176*l**8. Factor y(j).\nAnswer: -2*j*(j - 1)**2*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 230111.\nAnswer: 7, 71, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 832, 769, 696, 607, 496?\n\"Answer: -g**3 + g**2 - 59*g + 891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 876840239?\nAnswer: 11, 31, 151, 17029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -2aa8 (base 13) to base 16.\nAnswer: -184e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -211*a + 210*a + 4*b = -164, 0 = -12*a + 26*a + 5*b + 144 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 577090237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, d: 1, h: 1, e: 1, f: 1, u: 8}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 + 121?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 + 3 + 60*v**3 + 51*v**3 - 112*v**3 - 9.\nAnswer: -v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10 + 131401?\nAnswer: 131411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 = -3*t - 0*c + c, 3*c = 5*t - 50. Find the third derivative of -6*w**6 - 10*w**6 + 8*w**6 + t*w**2 wrt w.\nAnswer: -960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -2*c**3 + 2. Let a(b) = b + 1. Let n(z) = 2*z**3 - 19*z**2 + 8*z + 11. Let d be n(9). Calculate d*a(r) - h(r).\nAnswer: 2*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be (18\/(-4))\/((-6)\/(-8)). Suppose -5*l + 20 = -5. Let x = -1713 + 1715. Sort s, x, l.\nAnswer: s, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1565 >= -14080\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.7761141 + 4.7760535. Let g = a + -4. What is g rounded to six decimal places?\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36870711323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6026 - -6022. Which is bigger: a or -14\/31?\nAnswer: -14\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.60827 minus 0.2?\nAnswer: -0.80827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 43506170 and 2987?\nAnswer: 1261678930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3955 and 0.2341.\nAnswer: 925.8655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1808\/6 - 18\/(-27).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 - -29. Is (-4)\/(10 + -6) + d\/1 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 340.008 milliseconds to seconds.\nAnswer: 0.340008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0, 0.3, -13.7?\nAnswer: -13.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 541 = 4*d + 75, 0 = -d + f - 152. Which is bigger: d or -165?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1196713 is divided by 396.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -18 + -63 + 60 + -1 + 2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4608900303.\nAnswer: 3, 7, 219471443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*h + 228 = -0*h. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 277194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) 2 (b) 3 (c) -1.12 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 5*m + 5 = 0, 1 = -0*m - m. Suppose 0 = -4*g + q*v + 1240, -2*g = 2*v - v - 620. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 31223\/12992 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fbiigbbrgingii. What is prob of picking 1 i, 1 b, and 1 g?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 154026, 307504, 460982, 614460?\n\"Answer: 153478*m + 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 23.1 - 14.6. Let x = 8.5 - b. What is the second biggest value in -2\/3, -14, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 169*m**3 + 0 - 6 + 6 - 168*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -4, -21, -2, 72, 56, -6 in descending order.\nAnswer: 72, 56, -1, -2, -4, -6, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -21*u + 142. Calculate v(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 43, 8, -5 in descending order.\nAnswer: 43, 8, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 5314759 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -992, -3946, -8870, -15764?\n\"Answer: -985*t**2 + t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 39*a**2 - 116*a - 20. Calculate s(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 8148512+-7\nAnswer: 8148505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f + 0*u - 239 + 199 = 5*u, 2*f + 48 = 18*u for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 159744 and 67418.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 10 + -1 - 480\/(3 - -37)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4302125 and 1897?\nAnswer: 30114875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.9 minus 1834?\nAnswer: -1833.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -86 + 83. Let z be 0 + 1 + y + 3. Let v be (-89)\/z*4 + 3. Round v to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + l - 3 = k, -15 = -5*k + 4*l. Find the first derivative of -1 + y**2 + 10*y - 10*y - k wrt y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3 - -3. Let s be n + -2 - 1*-3. Calculate the highest common factor of s and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -200295214*r**3 + 100150371*r**3 + 100144842*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0006192663533 rounded to 5 dps?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = -35 + 88. Find the third derivative of -10*i**2 + 65*i**6 + 27*i**2 - s*i**6 wrt i.\nAnswer: 1440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 18894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 4075, 3, 0, -1, 4, -4 in decreasing order.\nAnswer: 4075, 4, 3, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + a + 42 = 0, -4*x - 82*a + 80*a = 40. Suppose 0 = -4*z - 3*p - 25, -p + 1 = z + 7. Which is greater: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1\/(93\/(-48) + 2). Suppose -17*f + 55 = -z*f. What are the prime factors of f?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -1\/18 and 137\/210336.\nAnswer: 631008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -6.02 minus -307503?\nAnswer: 307496.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.21 + 1.044. Let s = j - -0.1. Let r = s - 1.934. Which is the closest to r? (a) -1\/7 (b) 0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/3 in 0, -1\/7, -5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 76169364 - 76169036.45061. Let r = n - 307.64939101. Let p = r + -19.9. Round p to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-52 - 32*t - 90*t + 52)*(-24*t**2 - 26*t**2 - 22*t**2) as j*t**2 + z*t + x*t**3 + o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/3*(-4)\/((-32)\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-12)*t)**(-18)\/(((t*((((t\/t**(-45))\/t)\/t)\/t)\/t)\/t*t)\/t**(-8\/15)) assuming t is positive.\nAnswer: t**(2317\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 9}. What is prob of picking 2 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = k**2 + 2. Let m be y(0). Let u = 5 - m. Suppose f - 81 = -5*p - 2*f, 3*p - u*f = 39. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than or equal to -11\/39033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 141 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((1 + 3)*-2)\/(-2). Suppose -2*x + 3*r + 10 = 7*r, 3*x + d*r = 13. Suppose -802*z = -801*z - 5. What is the least common multiple of x and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 7, 167 in decreasing order.\nAnswer: 167, 7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6016 is divided by 1122.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sum -1014.897 and 104326.\nAnswer: 103311.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*b*l**3 + 10*b*l + 12*b + 4*l**2 + 2 wrt l.\nAnswer: 6*b*l**2 + 10*b + 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 64548 and 46944?\nAnswer: 516384","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 11, -76, -221, -424, -685?\n\"Answer: -29*x**2 + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13383 is divided by 769.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 3*s + 1 = -2*s, -13 = -5*v - 2*s. Is v equal to -3\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -13*5*684\/494\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -7*n - g - 47, -2*n + 885*g - 888*g - 27 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2 - 2. Let j = a + 0.01. Let u = j + -0.00955. What is u rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in -19\/402, 5, 2\/5, 14\/5, -2?\nAnswer: -19\/402","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 4702?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 4 = -4. Solve -3*m - 12 = j, 4*m - m = 2*d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 23751, 47551, 71351?\n\"Answer: 23800*r - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 101 minutes before 4:09 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*b + 23*b + 4*a + 72 = 0, 4*a = 32*b + 180 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 19*n**2 + 17*n**2 + 0)*(-305*n**3 - 236*n**3 - 277*n**3).\nAnswer: 1636*n**5 - 4090*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:18 AM and 3:40 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 23\/473 and 37\/96105.\nAnswer: 1057155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3533.\nAnswer: 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3661509114 to the nearest integer?\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -105043 or -105027?\nAnswer: -105043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 193 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -29404523, -29404521, -29404507, -29404475, -29404419, -29404333, -29404211, -29404047?\n\"Answer: c**3 - 5*c - 29404519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 122 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7438 is divided by 186.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -730774 = -34*h + 12*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**3 - u**2 - 15*u + 13. Let f be o(4). What is the least common multiple of (30 - f) + (-24 - -23) and 5?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 6 = 3. Let p(b) = -b**3 - b**2 - b + 4. Calculate the remainder when p(-3) is divided by 18*4\/(-24)*u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 3*y**3 - 11*y**2 - 5*y + 8. Suppose 3*o - 26 = -5*j, -o + 6*o = 5*j - 10. Let t be k(j). Solve 0 = 5*a + 11 + t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -16 + 15.95. Let l(d) = -107*d**2 - 4*d - 2. Let n be l(-1). Let k be (6\/n)\/((-2)\/(-10)). Which is the nearest to k? (a) t (b) -2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -11f - -21?\nAnswer: -fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3\/2198 - -15152\/1099. Let j = k + -93\/7. What is the fourth biggest value in -0.4, j, 3, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (5*8\/20)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:01 AM and 4:40 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -39324273, -39324281, -39324289, -39324297, -39324305, -39324313?\nAnswer: -39324321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -4.377 (b) -0.03 (c) -3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.2 and -13.2847.\nAnswer: -13.4847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + sqrt(99)*2.\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*h**2 + 12 + 2 - h**2.\nAnswer: -7*h**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -769 - -3807\/5. Let w = -123\/79 - -4910\/2291. Calculate the common denominator of x and w.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 35.84479 nanograms to tonnes.\nAnswer: 0.00000000000003584479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 43*u = 38*u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(5*-4))\/((-11)\/22).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -59\/10 and 69\/6790?\nAnswer: 6790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3*-2*(2 - 3). Suppose 0*i - 5 = -2*l + i, 2*i + v = 3*l. Solve -3*t + l*t - 4 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 471, 914, 1321, 1680, 1979, 2206?\nAnswer: 2349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1061974665 to the power of 1\/2, to the nearest integer?\nAnswer: 32588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 30041, 30190, 30439, 30788, 31237, 31786?\nAnswer: 32435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.312 + 0.012. Which is the closest to i? (a) -1\/5 (b) 4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7213 - 7209. Which is the closest to 2? (a) -11 (b) -2 (c) 0.4 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (67 - 58) + -11 + 1 + 4 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 2 + 2 = 0. Let n = h + 11. What is the first derivative of 3 - 6 + 2 + 12*g**4 - n wrt g?\nAnswer: 48*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.5 and -30682?\nAnswer: -15341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in 0.09312, 2\/13, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -25821*o**2 - 55*o + 5. Let g(i) = -710079*i**2 - 1518*i + 138. What is -5*g(k) + 138*x(k)?\nAnswer: -12903*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15029?\nAnswer: 7, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -593*z**2 + 593*z**2 - z**3 - 2*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 5*s = -1, 2*q + 23 = -5*s - 6. Let n be (1 - -1) + q + -5. Let k be n\/15 - (-33)\/9. Is k <= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17371 is divided by 97.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 18470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 155\/(-124) - ((-1)\/28)\/(1\/3) and 44\/5441.\nAnswer: 38087","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-27)\/15*20605\/(-2853)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 30321 (base 4) to base 15.\nAnswer: 3a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -a - -39?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 4) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the first derivative of i**4\/4 - 5*i**3 - i**2 - 5*i + 6120. Determine y(15).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the third derivative of -u**5\/60 - 11*u**4\/24 + 5*u**3\/2 - 5*u**2. Is m(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 300 minutes before 2:13 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 25 - 76\/3. What is the closest to -1 in t, 3, 3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 36 = -5*t, -5*t + 0*v + 34 = 2*v. Let m be 2 + t\/(42\/7). Solve f + 9 = 4*f - m*z, 0 = -f + 5*z + 23 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*b - 1501 = -77*b - 26*b for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10616113.\nAnswer: 487, 21799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 860028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 109267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1796 - -2284. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.09737 and 8203.\nAnswer: 8203.09737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 48*k**2. Let q(b) be the first derivative of 3*b**2\/2 + 92. Calculate q(m(r)).\nAnswer: 144*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -243, -706, -1949, -4362, -8335, -14258, -22521?\nAnswer: -33514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 + 17. Suppose -5*i + 2 + z = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.7 (b) -5 (c) -4 (d) 1\/5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (55 + 10*l - 55)*(-2*l + 2*l + 2*l)*(-2*l - l - l) to o*l**2 + x*l + g + c*l**3 and give c.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 9 + (12 - (-9 - -88)) - (-87 - -108)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3867 = 253*i - 7915 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -428357\/34 - -50401\/4. Let h = n - 1\/68. Let c = 1\/3101 + -6211\/27909. Put h, c, -6, -0.5 in increasing order.\nAnswer: -6, -0.5, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - (-13 - 2) - 33 - -8.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the third derivative of d**5\/30 + 5*d**4\/3 + 10*d**3\/3 - 168*d**2. What is the units digit of i(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -21*r**2 + 3*r**3 - 13*r + 55 - 4*r**3 + 3*r - 9*r. Let t be x(-20). Calculate the highest common factor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -235.99901 - -236. Round w to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 144855 from -2.\nAnswer: -144857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + u - 22103 = 0, b - 4*b = -3*u - 22119. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -k + 67*y - 15 = 62*y, 2*k + 36 = 4*y for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 + 0. Differentiate -4 - 9*h - h + n*h wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 453 minutes after 2:43 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k**2 + 12*k - 5. Let a be o(11). Suppose v - 4*v + a = 0. What is the tens digit of 15\/(-1*v\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1\/54 - -19\/54. Sort 3, c, -0.01, -0.4.\nAnswer: -0.4, -0.01, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 13, 5, 15, 2.\nAnswer: -7, 2, 5, 13, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 875?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) be the third derivative of 2*y**7\/105 + y**6\/3 + 5*y**5\/3 + 155*y**2. Factor i(a).\nAnswer: 4*a**2*(a + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/320 and 27\/200.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = -3*x + 12. Find the third derivative of -2*v**6 + 5*v**6 - 5*v**x + 2*v**2 wrt v.\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 237 + -237.02016. What is y rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 4*n - 22. Let y be l(6). Solve r - 6 = 4*x + y, -r - 8 = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -5*q - 5. Suppose 0 = -2*p - 0*d - 3*d + 15, 12 = -p + 5*d. Let s be p\/(-3) + 1 - 6. Is f(s) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/18*6*(-14)\/448*24.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -1*(-717 - (-1 + (0 - -3))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-42)\/(-18) + -2 + (-33)\/(-9). Suppose 10481 = 3*u - o*t, -7*u - 3495 = -8*u + 2*t. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8 + -5. What is the derivative of -2*y**w + 0 - 3 + 2*y**3 - 3*y**4 wrt y?\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 86, 136, 0.2, -0.05, 5, 1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-12)\/(-15))\/(-15*484\/(-4950)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -0*l - 8. Suppose 0*j - 10 = -3*j - r, 4*j = l*r. Solve -j = g - 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 3*t = 9, t + 6 = -o + 3*t. Suppose 120 = -6*b - 42. Let q = 24 + b. Sort q, -5, o.\nAnswer: -5, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ortmotmhtihh. What is prob of picking 1 h, 1 i, and 1 m?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1106365 + 0?\nAnswer: -1106365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-2)\/3)\/((-2)\/(-3)). Let y = i + 2. Let w be -1 + y*(1 - 0). Is 1 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9.769*0.5.\nAnswer: 4.8845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 30336 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the second derivative of 21*k**5\/20 - 7*k**4\/12 + 6*k. Find the third derivative of j(r) wrt r.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*a = 8*a - 3504. What is the second derivative of 2*s - s - a + 50*s**2 + 246 wrt s?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -29*m + 10761*m**2 - 3171 + 3171 + 29*m to d + h*m**2 + l*m and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 55789110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 125067 and 423.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*k + n + 325 = -19*k, k - 41 = 5*n. What is the lowest common multiple of 396 and k?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 20*j**3 + 55*j**4 + 22*j**3 - 39*j**3 - 37*j**4 - 43*j**4 - 11 in the form c*j**4 + q + l*j + z*j**3 + x*j**2 and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.94543 hours in minutes?\nAnswer: 56.7258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -22*v**2 - 6*v + 25. Calculate n(-6).\nAnswer: -731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {m: 2, w: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2092030.\nAnswer: 2, 5, 209203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + 2 + 1 + (19 - 18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(153))**2 + sqrt(17)*4*3.\nAnswer: 12*sqrt(17) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 296326744 to the power of 1\/2, to the nearest integer?\nAnswer: 17214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:24 PM and 8:27 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 122*j + 819. Determine o(-15).\nAnswer: -1011","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 2, 0.01, -105, -0.5 in descending order.\nAnswer: 3, 2, 0.01, -0.5, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -411754607 bigger than -411754606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3 + -5. Let j be 1*-12*l\/(-3). Let g = j - -15. What is the remainder when 25 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3792071 is divided by 1197.\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00014778 rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 7*c + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -65 + (7 - -39) - 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-9)\/6*5\/(15\/(-6)). Suppose 3*h - l - 1 = l, 5*l + 34 = -d*h. Let i be h\/(-15) - (-2)\/(-10). Solve -2*g - g - 15 = i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g = 12, -4*m + 4*g + 339 = 3*g. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of m**5 - 284*m**4 + 30750*m**3 + 106369*m**2 - 17*m + 6 wrt m.\nAnswer: 60*m**2 - 6816*m + 184500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = 3*j - 122, 2*j = 4*t - 45 + 133. Suppose -5*f - j = -10*f. Suppose -f*a + 890 = -3*a. List the prime factors of a.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c**2 + 4*c + 4. Calculate i(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -8*v**3 - 11*v**2 - 15*v - 13. Is d(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 - 15. Let a = -16 - k. Is a < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*z**4 - 43 + 2*z**4 + 27)*(0 + 7 + 1) + 2*z**4 - 2*z**4 + 3*z**4 to the form u*z**3 + s*z**2 + h + x*z + g*z**4 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -179 = 18*q - 215 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2.028 (b) -0.058 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/(-3) + (-146)\/(-6). Let j be 1\/(5 - 6) + 21. Let s = h - j. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -3835*h**3 - 325*h. Let b(i) = -71*i**3 - 6*i. Give -325*b(n) + 6*p(n).\nAnswer: 65*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 29*v**3 + 5. Let q(u) = 58*u**3 + 9. Calculate -5*o(g) + 3*q(g).\nAnswer: 29*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*h - 4*h - 4 = 0. Factor -1139*x + 1124*x - 4 - 5*x**h - 6.\nAnswer: -5*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve z**2\/4 - 106605*z\/4 - 506464 = 0.\nAnswer: -19, 106624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4212 + -4212.04017. What is h rounded to three dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v**2 - 16334090*v + 13340124806405 = 0 for v.\nAnswer: 1633409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = -184 + 202. Which is the biggest value? (a) -0.4 (b) j (c) 1\/6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the second derivative of s**6\/720 - s**5\/24 + s**4\/6 + 119*s**3\/6 + 249*s. Let p(w) be the third derivative of u(w). Calculate p(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -5*m**3 - m - 1. Let p be u(-1). Suppose l = 0, p*l - 50 = -0*o - 5*o. Solve -4*r = -10 - o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -3\/2 (b) 0.3 (c) -16 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 418*l - 2042*l + 417*l + 415*l - 76 + 412*l + 378*l.\nAnswer: -2*l - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 1009*i + 10. What is the tens digit of h(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8\/(-4))\/(5*7\/70)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*c - 23 + 19 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 323747935 to the power of 1\/2, to the nearest integer?\nAnswer: 17993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 326 = 127*m + 36*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 2 = -0*l. Suppose 3*b = -l*z + 17017, -4*b - 25590 = -5*z + 16987. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2*(-3)\/((-24)\/964). Suppose r = 4*o + 93. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28450 + 28*q + 56882 - 28432.\nAnswer: 28*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 77.3307nm to meters.\nAnswer: 0.0000000773307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -575 + 578. Let z = -5 + 0. Suppose 24 = 4*o - 5*w, -2*o - 13 = -3*o + 3*w. Sort z, h, o in decreasing order.\nAnswer: h, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3125 - 8*f - 3125 - 5*f**2.\nAnswer: -5*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -22*b**2 - 1761*b - 17968. Give x(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*f + 2 + f - 2*f)*(4*f**2 - 18*f**2 - 13*f**2 + (3 - 3 + f)*(-f - f + 4*f)) to the form z + o*f**2 + s*f**3 + b*f and give s.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from flfflullllzb. What is prob of picking 2 l and 1 u?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*k = -46*k + 538 + 122 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -8*w**2. Let s(m) be the third derivative of 0*m**4 + 0 - 1\/12*m**5 + 0*m**3 + 31*m**2 + 0*m. Determine s(z(t)).\nAnswer: -320*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 2\/7, -0.8, -2\/17 in descending order.\nAnswer: 2\/7, -2\/17, -0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1610 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 89696943587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let 3*v**3\/4 + 105*v**2\/4 + 93*v = 0. What is v?\nAnswer: -31, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 45604 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**3 - 2*f**2 - 7*f - 5. Give b(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, m: 3, n: 16}. Give prob of sequence xn.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 514844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 220645613 to the nearest integer?\nAnswer: 14854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*k**5\/23 - 604*k**4\/23 - 7536*k**3\/23.\nAnswer: 2*k**3*(k - 314)*(k + 12)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 3*j - 201 = 0, -4*j - 157 = -4*n - 609. Let i = n + 48. Let p = i - -137. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -5*q - 1. Suppose -5*y - 2*i + i = 24, -5*y + i - 16 = 0. Let k be (2\/y)\/(2\/(-8)). Is k greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -12 (b) 0.0047 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -2*j - 10. Let z = 26163 + -26153. Calculate l(z).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -205, -180, -41, 230, 651, 1240, 2015, 2994?\n\"Answer: 3*j**3 + 39*j**2 - 113*j - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -2916*z**2. Let n(i) = -27*i. Determine n(y(x)).\nAnswer: 78732*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 4089435 by 1785.\nAnswer: 2291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -4, -102, -24, 5 in descending order.\nAnswer: 5, -4, -5, -24, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - -4 - (7 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 4902.642nm to centimeters.\nAnswer: 0.0004902642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -432 + 431.9. Let r = 144 - 1010\/7. Which is the nearest to 3? (a) n (b) 4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wobvoomwmblomowowo. Give prob of picking 1 w and 1 b.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = q - 23, 3*q + 4*g = -q - 4. Suppose 0 = 4*z - q*z. What is the third derivative of 0*l + z*l + 14*l**3 + 9*l**2 - 26*l**3 wrt l?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22046 (base 7) in base 11?\nAnswer: -4170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -724*o**3 - 2 - 36*o**2 + 1415*o**3 + 36*o**2 - 715*o**3.\nAnswer: -24*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = -34 + 47. Let m = q + -13.029. What is m rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 14229 and 1306278?\nAnswer: 66620178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -33*r*x**3*y**2 - 47719*r*x**3 - 5*x**3*y**2 + 33*x**3*y - 1085*x**2*y**2 + 3*x wrt r.\nAnswer: -33*x**3*y**2 - 47719*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - h + 6*h = 30, -21 = -r + 2*h. Is r greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 15 - 11. Let i(t) = -t**3 - 5*t**2 - 7*t - 6. Let z(c) = -16*c + 76. Let w be z(5). Calculate the remainder when i(w) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2c (base 13) in base 11?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 700 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 5*f - 3. Suppose -6*q + 2*q = -20. Is 14 a factor of h(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*d - 305 - 154. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -572.1 + 549. Let z = d - -23. Which is the closest to z? (a) -2\/13 (b) 2 (c) 8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (-5*-1*3*(0 + -1 + sqrt(605) + sqrt(605))*4)**2 + 0.\nAnswer: -158400*sqrt(5) + 8715601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:30 AM and 2:29 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 10.6 - 1.1. Let g = f - 0.5. Let w = -9 + g. Which is the smallest value? (a) -0.5 (b) w (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 15587*z + 7886*z**5 - 1 + 2598596*z**3 + 1 - 2598596*z**3 wrt z.\nAnswer: 157720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6332705 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0042241983 to 5 decimal places.\nAnswer: 0.00422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 4a5ca5 (base 14) in base 10?\nAnswer: 2551673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1958536, 1958077, 1957602, 1957105, 1956580, 1956021, 1955422?\nAnswer: 1954777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by 6381\nAnswer: -1\/6381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**3 - 6*v**2 - 17*v + 10. Let j be f(8). Let d(u) = 8 + u**2 - 3*u + 2*u**2 - 2*u**2. Let r be d(6). Solve -8 = q + 4*b, -q - j*b - r = -6*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5.51998 rounded to 2 dps?\nAnswer: -5.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -88*u**2 + 144*u**2 - 115*u**2. Let g(k) be the second derivative of k**3\/2 - k - 174. Calculate r(g(c)).\nAnswer: -531*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -1b18f (base 16) to base 4\nAnswer: -123012033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0 + 2. Suppose -12 = -3*v + 3*l - 0*l, -5*l + 8 = d*v. Suppose 2*w - 7 = w + 2*r, -24 = -5*w - r. Solve -5*y - 4*u = -9, v*y = w*y - u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70 = -40*g + 50*g. List the prime factors of (g\/(49\/70))\/((-4)\/14).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 414*d**2*g**2 + d**2 + 4*d*g**3 + d*g + 40*d wrt g?\nAnswer: 828*d**2*g + 12*d*g**2 + d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -u**5\/3 - u**4\/3 + 2*u**3\/3 = 0 for u.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6765467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 524401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -266 divided by 2.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -6140606 (base 8) in base 5?\nAnswer: -403404111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -40 - ((16 - 30) + -39)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -737, -1, 1, -24, -1.4.\nAnswer: -737, -24, -1.4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y**3 - 12*y**2 - 9*y + 19. Give n(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3, 507, 1371, 2601, 4209, 6207?\nAnswer: 8607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 2*a**3 - 9*a**2 + 9*a - 5. Let c be -8 + (-2 + -6)\/(-2). Let d(p) = -p**3 + 5*p**2 - 5*p + 3. Let z(v) = c*u(v) - 7*d(v). Give z(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o and 2 j when four letters picked without replacement from ojyyyyyjyyyo.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the third derivative of -b**8\/42 - b**5\/20 + 8*b**2. What is the third derivative of k(l) wrt l?\nAnswer: -480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from {t: 2, f: 3, s: 4, o: 3, h: 3, x: 1}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = -10 + 1. Let w(z) = 5 + z + 1 - 2. Is w(r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14 - 19. Let h be t\/(-35) + 82\/14. Suppose 2*x - h*x = 84. Is x bigger than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1222*c = 4329*c + 5421*c + 789*c - 223459 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 62095 divided by -12419\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -2*j**3 - 2*j**2 - 8*j - 2. Let u(b) = 4*b**3 + 5*b**2 + 15*b + 4. Determine -5*g(d) - 2*u(d).\nAnswer: 2*d**3 + 10*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 231796?\nAnswer: 2, 167, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -2*g**3 + 13*g**2 + 12*g - 31. Let p be b(7). Suppose 0 = -2*q + p*i + 25 - 5, 5*q = -3*i - 15. Which is greater: -14\/23 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 196, 5, -3, -13, -1, -120.\nAnswer: -120, -13, -3, -1, 5, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**3 - 7*x**2 + 8*x - 4. Let m(c) = -3*c**3 - 15*c**2 + 18*c - 7. Let b(d) = -2*m(d) + 5*z(d). What is b(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 429 + -430. Let m be (486\/(-39))\/3 + 4. Which is the closest to 1? (a) 0.1 (b) o (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 465385 divided by 6?\nAnswer: 465385\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.340046 litres?\nAnswer: 340.046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-5)\/(-2))\/(1\/2). Let g be (12\/(-7))\/((-1028)\/(-104) - 10). Find c, given that 40\/7*c**4 - g*c - 142\/7*c**3 - 220\/7*c**2 + 50\/7*c**b - 16\/7 = 0.\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 89201*t*y**2 + t + 3*y**2 + 11309 wrt t?\nAnswer: 89201*y**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that -2*f**5\/3 - 176*f**4\/3 - 172*f**3\/3 + 176*f**2\/3 + 58*f = 0.\nAnswer: -87, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 42859102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does -1 = -599\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a + 51 = -3*a. Suppose -3*o - 2*o + 145 = 0. Let i = a + o. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*x + 20 = -2*x. What is the remainder when 25 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 10\/4*18\/15. Let n(x) = r*x + 1 - x + 0 + 2*x. Is n(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -275*s + 275*s - 2*s**2 + 22*s**2.\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1007 - 997. Calculate the least common multiple of y and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 - 7 = l - 5*a, -5*l - 33 = -4*a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-5*sqrt(200)\/sqrt(4)*1)\/(-6*sqrt(100)\/(sqrt(160) + sqrt(10))).\nAnswer: -25*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 85, 181, 279, 379?\n\"Answer: f**2 + 93*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -8*m**2 - 6*m. Let a(p) = -8*p**2 - 7*p. Let c(l) = 4*a(l) - 5*y(l). Let n(q) = -2*q**2 - q + 9*q**2 + 3*q. Let j = 70 - 65. What is j*c(o) - 6*n(o)?\nAnswer: -2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qnw when three letters picked without replacement from qwcssqwqsqqwqqnqqqq?\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 417164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 583b3 (base 12) in base 7?\nAnswer: 1001142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -4*v - 27. Let a = v - -11. Suppose 0 = a*z - 0*z - 4. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**2 + 4*f + 31. Let r be q(8). Let y = 15.5 + -15.2. What is the closest to r in 2, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 4*z + 3*z - 2*z**2 - 8*z)*(1 - z - 1)*(-2*z + 0*z + 6*z).\nAnswer: 8*z**4 + 36*z**3 - 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 114 = -2*n + 45, 3*c - 15 = 0. Let l = -19 - n. Calculate the remainder when ((-33)\/(-6))\/((-2)\/(-4)) is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3463189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*l**5 - 19467*l**4 - 42126570*l**3 - 30443351172*l**2 - 90951439752*l.\nAnswer: -3*l*(l + 3)*(l + 2162)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -b683d + 6?\nAnswer: -b6837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -5.1711921 rounded to two dps?\nAnswer: -5.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14 + -5 + -4 + -13 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 7902.32ml to litres.\nAnswer: 7.90232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -18448180, -36896380, -55344580?\nAnswer: -73792780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((1 + sqrt(252))*3)**2.\nAnswer: 108*sqrt(7) + 2272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11\/((-55)\/15)*(-20)\/(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 1, i: 1, d: 1, p: 1, s: 2, m: 1}. Give prob of sequence smdi.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 25*o**2 - 1. Determine w(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 26\/5 of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 333 - 217. Is 15 a factor of 4\/(16\/m) - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:53 AM and 2:52 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 14145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**2 - 190*k + 18078. What is x(68)?\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 0 - 37?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = n - w, -1 = -5*n - w - 3. Solve -2*v = -n*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1518, 2419, 3920, 6021?\nAnswer: 8722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 35\/2 + -20. Let v = -0.06 - 2.94. Let h = 608 - 608.3. What is the closest to c in h, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:03 AM and 3:31 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 3096, 6524, 12262, 20310, 30668, 43336, 58314?\n\"Answer: 1155*c**2 - 37*c + 1978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/2 - (-15)\/6. Suppose 3*i - 5 = -4*k - 3, -5*k + f = 4*i. Find the third derivative of -3*s**3 + 2*s**i + 4 + 0 - 4 wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q = -2*o - 2, -3*q - 5*o = -40 + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -63174917\/418 - -151136. What is the common denominator of -113\/132 and m?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2599 and 791.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 83\/2162 and 155\/60306.\nAnswer: 2834382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3*c**3*n + 72316*c**3 - 177*c*n + 10*n**2 wrt n?\nAnswer: -3*c**3 - 177*c + 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -1110 (base 2) to base 13\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 472, 1246, 2020?\n\"Answer: 774*j - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 54751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (61 - 40 - 20) + 13 + 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 49 divided by 5?\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 59\/45 and -41\/47.\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -x + 1. Let y(f) = 5*f - 10. Let u be 6\/(-7) + (-4)\/28. Give u*y(r) - 10*g(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 155275*v**5 + 6*v**4 + v**3 + 27335696*v**2 wrt v?\nAnswer: 9316500*v**2 + 144*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*b + 16*b = 2130. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 3*v**3 + 17*v**2 - 80*v. Let l(q) be the third derivative of -q**6\/120 - q**5\/10 + 9*q**4\/8 + 44*q**2. Calculate 17*l(g) + 6*n(g).\nAnswer: g**3 - 21*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:08 PM and 10:29 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 5*u + 1145. Let t(m) = 4*m + 1143. Determine -2*r(b) + 3*t(b).\nAnswer: 2*b + 1139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 2092 divided by 3?\nAnswer: 2092\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 249 is divided by 64.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.606 - -365.394. Let h = -326.6 + y. Round h to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19440626.9 less than -5?\nAnswer: -19440631.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f**5 + 5*f**4 + 160*f**3 - 680*f**2 + 1040*f - 560 = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w be 21 + 3\/(3\/2). Suppose -16*y + w*y - 21 = 0. Solve y = f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = p - 10. Let y be o(4). Let r be (42\/(-15))\/(y\/(-210)). Let k = r - -100. Solve 3*t + 0*t - a - 13 = 0, -t + 11 = -k*a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 20 + -14. What is the third derivative of 10*p**x + 14*p**6 + 752*p**2 - 731*p**2 wrt p?\nAnswer: 2880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 90.18665 nanometers in millimeters?\nAnswer: 0.00009018665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -14283, -26042, -37801?\n\"Answer: -11759*y - 2524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.172 in 0.4, 2\/3, 0.11, -3\/8?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*r = 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.25 - 1.25. Let a = 11 + -10. What is the nearest to a in 0.01, -0.2, c?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2289 + 16?\nAnswer: -2273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/y**5)**(-29)*((y\/y**10)\/y*y)\/y*y\/(y*y**(5\/6))*y)**(2\/11) assuming y is positive.\nAnswer: y**(637\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -1161*s - 1973 = 51343 + 90 for s.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let 2*r**5\/3 - 4*r**4\/3 - 98*r**3\/3 + 268*r**2\/3 + 120*r - 336 = 0. Calculate r.\nAnswer: -7, -2, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1195 + 1186. Let q(b) = 5*b + 39. Determine q(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuxttxtxt. What is prob of picking 2 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -13*w**3 - 17*w**2 + 53*w + 75. Let g(n) = 3*n**3 + 4*n**2 - 13*n - 18. Let b(v) = -18*g(v) - 4*y(v). Solve b(x) = 0.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -150.003 times -3?\nAnswer: 450.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -g**2 - 16*g + 2. Suppose 4*l - r = -l - 66, 4*l = 2*r - 48. Calculate the smallest common multiple of d(l) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -119*((-3)\/(-2))\/((-5)\/10). Does 24 divide p + -4 + -2 + 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*x - 7*u - 90, 97*u = -4*x + 96*u + 39 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 215.6062 less than 23?\nAnswer: -192.6062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/12*-3)\/((-130)\/40).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a and 1 f when three letters picked without replacement from {o: 6, f: 3, s: 4, a: 2}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = 20626 - 20485. Which is the second smallest value? (a) -3 (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1586466, -3172927, -4759386, -6345843, -7932298?\nAnswer: -9518751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 89114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 161 and 20720723?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*n - 25 = -k - 11*n, 31 = k - n. What is the common denominator of k and 2\/(-9) + 1686\/(-432)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -59.771124 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(0\/2 - -2). Let a = 3 - n. Let x = -10 + 11. Which is bigger: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve v - 26 = 2*b, -12050*v + 26 = -12049*v + b for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -5*l**2 + 7*l + 2. Let x(p) = 5*p**2 + 280 - p - 3*p**2 - 281 - p**2. Calculate g(y) + 4*x(y).\nAnswer: -y**2 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 282, 450, 724, 1098, 1566, 2122, 2760, 3474?\n\"Answer: -m**3 + 59*m**2 - 2*m + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/11, -0.2, 3, 0.7, 2, -11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i**2 + 15*i + 2. Let q be g(-5). Let x = 53 + q. Solve -5*y - 4 = -3*t, 0 = 2*t + 4*y - 5 - x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 1.3 (b) -4 (c) -7\/3 (d) 0.1 (e) 5 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 0*b + 100 = 4*b, -4*w + 4*b = -68. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (56\/(16800\/(-250)))\/((-3)\/(144\/3020))?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -182177724 by -4.\nAnswer: 45544431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 692 minutes before 10:51 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(119)*2 - (sqrt(119) + (-1*sqrt(119) - sqrt(119))*4))\/(-2*(sqrt(175) - 2*sqrt(175))*2).\nAnswer: 13*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 64482011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.041 * 18550.\nAnswer: 760.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1415 is divided by 1382.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 45, 82, 105, 114, 109, 90, 57?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 27649.69772 rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve y + 2*c - 2 = 3*c, -c = 5*y - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10)\/8 + (-12250)\/(-5000)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -35*m - 48*t + 53*t - 900, -3*m - 3*t - 60 = 0 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 46 and 2?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yykyxfyvyk. What is prob of picking 1 f, 1 v, and 1 y?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + 10 + (0 - 0) + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -57*d**2 + 63*d**2 - 55*d**2 to the form z*d**2 + k + w*d and give z.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 10 in 10.6, -2\/5, 3?\nAnswer: 10.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is j in -j**3\/3 - 506*j**2 + 1525*j\/3 + 3038 = 0?\nAnswer: -1519, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(306) - -1*sqrt(306))\/sqrt(9))\/((2*-3*sqrt(2) - sqrt(2)) + sqrt(2)))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 4*-1*1*(-19)\/228*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/14 (b) 4 (c) 0.653245\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 19443312 to the power of 1\/3, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -r**2 - 20*r + 27. Let g be v(-21). Let u = 6 + g. What is the least common multiple of 48 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1140261*b**2 - 4*b - 6556 wrt b?\nAnswer: 2280522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 207, 422, 651, 900, 1175?\n\"Answer: g**3 + g**2 + 205*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 10441 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -96 + 187 + 11*g - 97 - 3*g.\nAnswer: 8*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -5, 0, 0.1, 20 in increasing order.\nAnswer: -5, 0, 0.1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 172850843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 142908843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i**3 + 42*i + 158. Give k(-5).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the second derivative of -k**4\/4 + k. Suppose 0*p + 8 = 4*p. Let x(l) = -6*l**2 + 2*l**2 + 3*l**p. Determine h(x(y)).\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 11267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2046, -2045, -2044?\nAnswer: -2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**3 + 5*r**2 + 7*r - 5. Let m be c(6). Let l(g) = 5*g**3 - 1. Let h be l(m). Let p = -1257 - -1257. Solve 0*q - h*q = p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1395705131.\nAnswer: 1395705131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 461*l + 1308. What is the units digit of j(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4.895337ug to grams.\nAnswer: 0.000004895337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -11100101010111111001100 (base 2) to base 3\nAnswer: -112010212011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00054816 to five dps.\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -14*s + 2743. Let x(n) = 15*n - 2738. Calculate 13*k(z) + 12*x(z).\nAnswer: -2*z + 2803","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p**3 + 9*p**2 - 3*p + 5. Calculate f(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 202535578.47 rounded to the nearest ten thousand?\nAnswer: 202540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-1098)\/(-15)*390\/3159 - 7 and -149\/930.\nAnswer: 8370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.2 (b) -27\/8 (c) -0.71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (100\/75)\/((-72)\/(-570)*20\/6)?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = c**2 + 8*c + 3. Let a(n) = -3*n**2 - 20*n + 68. Let t(w) = -7*w**2 - 44*w + 137. Let v(q) = -5*a(q) + 2*t(q). Let b be v(-16). Determine o(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**(-17)*y\/(y*y**(-1\/9)*y*y)*((y\/(y*y*y**13)*y)\/y*y)\/(y\/((y*y*y**(1\/2)*y)\/y)*y*y) assuming y is positive.\nAnswer: y**(-583\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at most -1104\/1214585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4 and 16307.\nAnswer: 65228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 48578486?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6 - -2. Let x(l) = l**3 + 3*l**2 - 6*l - 7. Let j be x(f). Solve -5*g = -j + 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -3 + 1 + -3 + 6. Let l be (-2)\/3*(-7 + y). Suppose -l*b - 16 = -148. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from dauadoocassaoaooao.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/98 and 30\/323?\nAnswer: 31654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 124177387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 182170 rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(-4 + ((sqrt(22) + (2*sqrt(1782) - sqrt(22)))\/sqrt(11) + -4 - (sqrt(128) + -2)**2*-2)).\nAnswer: -230*sqrt(2) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of 1.576 and -0.7048.\nAnswer: -1.1107648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -17*r**2 + 5678*r - 22542. Give y(330).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-3)\/2 - (-70)\/(-28). Let i be (4\/6)\/((-2)\/(-3)). Put i, p, -5 in ascending order.\nAnswer: -5, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 762, 2956, 6600, 11682, 18190, 26112?\n\"Answer: -2*l**3 + 737*l**2 - 3*l + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**3 - 3*f**2 - f. Let w be m(-2). Let i be 1 + -2 - (w + -2 + 2). Let o(a) = 2*a**2 + a. Let g be o(-1). Is i smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 3*t**3 - 5*t. Let j(i) = -3*i**3 + 6*i. Let h(q) = 129*q + 1801. Let z be h(-14). Calculate z*j(v) - 6*l(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1 + 6d8?\nAnswer: 6d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -400404 (base 8) in base 11?\nAnswer: -8a743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m**2 + 3153*m - 6294 = 0 for m.\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 13*h**2 + 2*h + 6. Let k be z(-2). Suppose -6*c - 44 = -4*c. Let x = -16 - c. What is the greatest common divisor of k and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 318 minutes before 5:43 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = -701\/12 - -56. Let v = -171\/2 + 80. Find the common denominator of t and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*q + 5*q - q)*(-169*q + 291*q - 198*q)*(-1 + 1 + 2).\nAnswer: -152*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -152068070*i**5 + 272073045*i**2 wrt i.\nAnswer: -9124084200*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 474803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 3988.475ml in litres?\nAnswer: 3.988475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -397*i + 2430. Give s(6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r be 42\/(-2)*(-1 - 0). Suppose -g = 5*o - 8, -3*o - 3*g = -332 + 356. Solve -3*t = o*t - r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*b + 2 - 2)*(-12 + 12 + 5*b**4).\nAnswer: -20*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 297808511.74 minus 0.1?\nAnswer: 297808511.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 5 - 3*g + g - 2 - g. Let i be m(-5). What is the highest common factor of i and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - (-39)\/15)\/1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 111992 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = -138 + 273. Suppose -3*l - 6*l = -p. Suppose -3*s + 162 = t, s + 2*s = 3*t - 438. Calculate the highest common divisor of l and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1192678666*a + 731706084?\nAnswer: 1192678666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the second derivative of 7*q**5\/10 - 2*q**4\/3 - 13*q**2\/2 + 21*q. Is l(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 2*c**2 - 20*c + 11. Let z be a(15). Calculate the greatest common divisor of z and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 61758552?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = y - 5*f, 2*y - f = 4*f - 6. Let o(w) = -w + 7. Let p be o(y). Factor -30*k**3 + 14*k**5 + p*k**2 + 5*k**2 - 15*k**3 + 60*k**4 - 39*k**5.\nAnswer: -5*k**2*(k - 1)**2*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p**2\/13 - 81248*p\/13 + 825154688\/13 = 0.\nAnswer: 20312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 + 1 - (-11 - (-8 - -12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.06 + 2.06. Let r = -13054\/2925 + 112\/25. Let o = r + -20\/117. Which is the second biggest value? (a) u (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 224, -31, -1, 1081, -3 in ascending order.\nAnswer: -31, -3, -1, 224, 1081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:30 PM and 11:38 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -2*m**2. Let j(f) = -f + 3. Let o be j(-11). Let k(d) be the first derivative of d**3 + 2*d**3 + 5 + o - 4. What is g(k(l))?\nAnswer: -162*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 15564039*x**2 + 1837855?\nAnswer: 31128078*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2433447 is divided by 449.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*g - 16 = -3*g. Let i = -6 - g. Let y be 80\/12 + i\/3. Solve 4*s + 5 = p - y, 3*p + 31 = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 6, x: 1, o: 4}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = -40 + 37. What is the closest to -11 in -2, 2\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - (-5 - (0 + (7 - 5))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 23 + 171?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 714000052.\nAnswer: 2, 178500013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9, -925, -2453, -4599, -7369?\nAnswer: -10769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -2264131 (base 8) to base 10\nAnswer: -616537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-5)\/(-5))\/((-2)\/(-18)). Let g be (z - 39)*-1*1283. Suppose -3*u = -5*d - 23110, -g = -0*u - 5*u - 5*d. What is u rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*f**2 + 11654*f + 9020904.\nAnswer: 2*(f + 919)*(f + 4908)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jvgjjjvvjbjjvjjjgdj. What is prob of sequence jdgv?\nAnswer: 11\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 104*z - 103*z - 5 = 0. Suppose d - z*y + 7 = -d, -4*d + 1 = -5*y. Let w(a) = -9*a**3. Let f(l) = 5*l**3. Calculate d*w(i) + 7*f(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 55, 2, 0, -4, -12 in increasing order.\nAnswer: -12, -4, -2, 0, 2, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*l - 2*l - 4 = 0. Let b = -166 + 2489\/15. Let q = b - 4\/15. Is l less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = y**3 + 3*y**2 + y + 1. Let i be u(-2). Let s(m) = -2*m. Let o(j) = -3 + 3 + 3*j. Calculate i*o(f) + 5*s(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 5 = -15. Let k(n) = -2*n**3 - 7*n - 1 + n**3 + n + 5*n**2 + 3*n + 4*n. Let r be k(o). Solve r = 2*s + 10 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -3438196, -3438182, -3438168?\n\"Answer: 14*z - 3438210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.35 and 13201?\nAnswer: 13200.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = -355 + 248. Let f = -933.6 + 836. Let z = k - f. What is z rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the second derivative of -3*o**5\/20 + 41*o**4\/4 + 18*o + 10. Find a such that b(a) = 0.\nAnswer: 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2\/(-3))\/((-4)\/(-2)). Suppose 61*r + 138 = 15*r. Let f = 3 - 3. Which is the biggest value? (a) q (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1082019 by -360673.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 33626, 33628, 33640, 33668, 33718, 33796?\n\"Answer: c**3 - c**2 - 2*c + 33628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -399 + 447.8. Let v = n + -49.21. Is v > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0 + 52 - 2 - 20\/(-4). Calculate the highest common divisor of 1045 and f.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 p and 1 h when four letters picked without replacement from hpphph.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/786 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = -479\/580 - -3\/116. Let z = -4 - -4.05. Let r = z + 3.95. What is the biggest value in r, 0.3, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.71, 34466, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 * -2.61.\nAnswer: 0.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = -10 - 16. Let j = b + -9. Suppose 0 = -j*l - 3*r - 4, 0 = 2*l + 2*r + 2 + 2. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve m - 3*a - 6 = 0, -47*m - 7913 + 7886 = -43*m + 5*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**2 - 4*m. Let y be (-3)\/((-6)\/(-4)) - (-2 + 0). Let r be (y - 8\/2)\/((-42)\/(-21)). Calculate g(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 81, 0, 2, 1, 5, 50 in increasing order.\nAnswer: 0, 1, 2, 5, 50, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*w + 1 - 7. Which is the third smallest value? (a) 5\/3 (b) -0.3 (c) -11 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 3*m**2 - 48*m + 52. What is z(0)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -557 + 557. Is o not equal to 20\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 = -4*x + 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*l - 2*b + 40, 32 = -2*l + 3*l + 5*b. What is the highest common factor of 119 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 25\/54 and -107\/90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 46*w**2 + 1. Calculate x(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 5, v: 1, u: 3}. Give prob of picking 3 u and 1 n.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 31054 (base 6) in base 12?\nAnswer: 248a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 70998?\nAnswer: 2, 3, 11833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 4*w + 5 = -u, w = -2. Let b be u + (0 + 0 - -3). Find the second derivative of -b*t**2 - 3*t - t + 2*t wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5\/2, -3, -38 in decreasing order.\nAnswer: 5\/2, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-14)\/35)\/(2\/(-70)). Let l be ((-8)\/q)\/((-6)\/21). Let n = 4 + -3. Solve -m = -n - l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -27\/32 and -224 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 63*l + 815 - 921 = 4*l - 3410 for l.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-1252)\/78 + ((-1886)\/(-897))\/41?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -1242 divided by -15934?\nAnswer: 621\/7967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 393977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3418 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b**3 - 8*b**2 - 9*b - 4. Determine z(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1103\/2 + 514. What is the common denominator of r and -85\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*2834.\nAnswer: -1133.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.5 and -246.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*j**2\/5 - 1548*j\/5 - 3084\/5.\nAnswer: -3*(j + 2)*(j + 514)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b and 2 m when four letters picked without replacement from {b: 6, m: 2, y: 5, e: 3, q: 1}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -2*a - 13*a + a in the form r + v*a and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/1*12\/36.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -170640 divided by -1422.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2437 is divided by 779?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = 254327\/1365 - 142\/273. Let u = 351\/2 - g. Find the common denominator of u and (1\/(-30))\/((-6)\/279).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -y**3 - 13*y**2 + 5*y + 3. Let b(q) = q**3 + 6*q**2 - 2*q - 1. What is -5*b(j) - 2*v(j)?\nAnswer: -3*j**3 - 4*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6532 and 568.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r*r*r**(-2\/13))\/r*(r*r*r**3*r*r*r*r*r*r*r)\/r)\/(r**(-13)*(r\/(r\/r**(-16)*r))\/r) assuming r is positive.\nAnswer: r**(570\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*k = 2*n + 38, -3*n - 1618 = -5*k - 1631 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tamk when four letters picked without replacement from amaaaitaaaaaak.\nAnswer: 5\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:16 PM and 8:55 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the first derivative of 0*b**2 - 1\/3*b**3 + 0*b + 15. Let q(v) = 10*v + 1. What is d(q(o))?\nAnswer: -100*o**2 - 20*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -97 - 108 + 205 - 44*u**2. Let b(q) = -2*q. Determine b(n(j)).\nAnswer: 88*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.02 - -2.98. Let b = -3.4 - -3. Sort y, b, 5 in descending order.\nAnswer: 5, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = 3*o + 930, 0 = -2*h + o + o - 458. Let g be h\/54*151773\/(-21). Let y = g - 30925. Find the common denominator of 59\/9 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (-1*sqrt(99) + -4 - (-3 + sqrt(99) + 3 + sqrt(99))))**2.\nAnswer: 162*sqrt(11) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 3*u + 0 - 11 = 0, -u + 3 = 4*z. Let y(h) = -2*h**2 + 2. Let p(t) = t**3 + t**2 - 1. Let d = 4 + -2. Suppose -d*x + 14 = 6. Give x*p(r) + z*y(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -4515600, -4515593, -4515586?\n\"Answer: 7*l - 4515607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8331286, -8331293, -8331300, -8331307, -8331314, -8331321?\nAnswer: -8331328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1493, 1663, 1833, 2003?\nAnswer: 2173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 15 = 2*p. Suppose 0 = p*y - j - 22, -j + 19 = 2*y + 2*j. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 + 20. Let w = 34 - 49. Let p = v + w. What is the second smallest value in 0, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tmmvtvmgtvs. Give prob of sequence smtt.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -14*a + 189. Let i(u) = 66*u - 946. What is -3*i(r) - 14*y(r)?\nAnswer: -2*r + 192","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 830?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 15 in -1\/29502, -41, -4?\nAnswer: -1\/29502","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 33024375 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from epyyerkzeeepepk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -1250 times 5.4\nAnswer: -6750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3 - -5) + 5 + -1. Let m = j + -6. Suppose 4*d - 56 - 16 = m. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q**3\/3 + 21008*q**2\/3 + 7004*q = 0. What is q?\nAnswer: -1, 0, 5253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.2602 + -0.0398. Let h be ((-6016)\/(-96))\/(8\/6). What is the smallest value in -3, j, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -380\/3423 - -6994700\/106113. Which is smaller: l or 66?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/4 + 11\/2. Suppose f*b - 2*b - 20 = 0. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 13, -15, -47, -77, -99, -107, -95?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(396) + sqrt(396) + 0 + -1*(sqrt(110)*1)\/sqrt(10))**2 + 3 + -5.\nAnswer: 22*sqrt(11) + 1330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 351*u**3 - 94*u**3 - 64*u**3.\nAnswer: -509*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - 6 - 11 - -11 - -8) + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -343*t = -345*t + v + 5, -18*t - 3*v + 17 = -8*v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:13 PM and 8:25 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (2*u**2 + 2 + 0*u**2 - u**2 - 3*u**3)*(0 - 2*u + 0 + 4*u - u - u + (0 - 2 + 0)*(-u - u + 5*u)) as t*u**2 + f + c*u**4 + m*u + o*u**3 and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0 - 8 - (3 - 0 - 11). Solve l + 1 = -2*t + 8, a = 5*t - 3*l - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*h**3 + 25*h**3 - 2*h**3 + (-3*h**2 + 7*h**2 - 2*h**2)*(-2*h - h + 4*h) + 22*h**3 + h**2 - h**2.\nAnswer: 50*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 17222071*o**2 - 411*o - 124066 wrt o?\nAnswer: 34444142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -186 + 177 - (1 + -1 - -2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 - 3. Let o be -3*n\/(-3)*18. Let a = o + 53. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jljxwwwxwxcqwcjjqw. Give prob of picking 2 c and 1 j.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-7)\/((-1)\/28*2). What is the greatest common divisor of 735 and x?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24998.\nAnswer: 2, 29, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -936 by -18.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 36\/(-10)*(-26)\/(-416)*20.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-8)\/6*2\/(-4). Let t = 13 - 17. Which is the second biggest value? (a) q (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 2 + 0)*(6*z + 2*z + z + (-4 + 0 + 2)*(3*z + 0*z + 0*z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m**2 + 10*m + 13. Let p be y(11). Let f(s) = 0 + 12*s + p - s - 3*s. Calculate f(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (76\/(-16) + 4)\/3. Let q = -213.57 - -70.57. Is u not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -28441089, -1, 5 in increasing order.\nAnswer: -28441089, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.9 - -2058916.48?\nAnswer: 2058915.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + ((sqrt(168)\/(sqrt(48)\/sqrt(4)))\/(sqrt(98)*-1 - sqrt(2)))**2)*1.\nAnswer: -313\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - -3) + -2 + (2 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 180\/(-936)*3840\/576*4\/(-50)?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -10, 1, -11, 68, 9 in decreasing order.\nAnswer: 68, 9, 4, 1, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 265.93 - 266. Which is the closest to -2? (a) o (b) 0.04 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 27, 0 in ascending order.\nAnswer: 0, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -2221010 (base 3) to base 5\nAnswer: -32021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5365309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3242, -25870, -87292, -206906, -404110?\nAnswer: -698302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/18 + (3 - 964\/(-36))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -f**3 + 7*f**2 + 18*f - 12. Let k be p(10). Let i = -37 - k. Suppose 0 = 2*a + o - i, -3*a + o = 3*o - 145. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3583937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add together -6.141531 and -18939.\nAnswer: -18945.141531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*j - 2*j + 2*j)*(2 + 0 - 1) + (0 + 2 - 4)*(2*j + j + j) - 9 + 9 - 7*j.\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 110388.\nAnswer: 2, 3, 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 2*q - 96 = 0. What is the common denominator of (52\/(-6))\/(q\/45) and 9\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 54 - 33. Suppose -2*u = 2*z + u + 15, -5*u - m = 2*z. Is z >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -14*o - 2. Let g(k) = -41*k - 6. Determine 6*g(w) - 17*h(w).\nAnswer: -8*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -y. Let h(n) = -187*n - 88. Let v(x) = 2. Let r(t) = -h(t) - 44*v(t). Determine r(s(f)).\nAnswer: -187*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 127\/29187480 and -7\/40.\nAnswer: 29187480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 1 + 4 + (-3 + 1 + 4)*(-1 + 2 - 3))*(-10*c + 5*c + 4*c - 1).\nAnswer: -3*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d**2 + 3*d + 4. Let i be u(3). Suppose -v = 3*z + 15, i*z + 26 = -z - 2*v. Let w(y) = -3*y. What is the tens digit of w(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -4 + -3 + 6 + 4. Find the common denominator of (h - 460\/135)*3 and (10\/(-7))\/((-660)\/(-140)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5951 is divided by 661.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/(-33)*0 + (-26816)\/(-4) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -n**2 + 1. Let q(f) = -40*f**3 + 3*f**2 + 2*f + 5. Determine 5*c(d) - q(d).\nAnswer: 40*d**3 - 8*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1456 is divided by 524.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2\/17 - -53\/306. Is b bigger than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -71*u + 11. Let k(t) = -24*t + 4. Give 6*i(h) - 17*k(h).\nAnswer: -18*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3\/529 - 2107\/1587. What is the nearest to 0.2 in 5, v, 907?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 3*q - 5*q. Let x(s) = 2*s**2 - 44*s + 239. Calculate the least common multiple of q and x(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -31*c**2 - 33*c**2 + 80*c**2 + 12*c**3 - 30*c**2 - 22*c**3 - 20*c**2.\nAnswer: -10*c**3 - 34*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:07 PM and 4:35 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -40? (a) -1 (b) 0.4 (c) -150 (d) -68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) be the first derivative of -26*r**5 + 1000*r**3\/3 + 2789. Find the third derivative of p(x) wrt x.\nAnswer: -3120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -1 (b) -11526\/7 (c) 21\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -52 - -90. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - 5*m**2 + 0 - m + 1 + m**4 in the form s + o*m + j*m**3 + d*m**4 + t*m**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, f: 2, d: 1, r: 5, u: 2, t: 1}. What is prob of sequence rdl?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 319338 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = 92 - 104. Is (-23386)\/g - 2\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*q + 2*q + q)*(0*q + 4*q - 6*q) - 2*q**2 - 2*q**2 + 3*q**2 - 2*q**2 - q**2 + 5*q**2 to t + x*q + c*q**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4063645 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4271*w**3 + 3*w + 0*w - 5919*w**3 - 3*w.\nAnswer: -1648*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = -10 + 13. Suppose -s*j + 2*j = 5*p - 355, 0 = -5*j + 2*p + 1856. Is j - ((-1)\/5 + (-40)\/50) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = c**2 - 14*c + 4. Let i be q(14). What is the third derivative of 2*h**2 + 4*h**3 - 18*h**3 + i*h**2 wrt h?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-16)\/(-4))\/52)\/(-1).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 0.7181668 tonnes?\nAnswer: 718166.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 262 * 0.11\nAnswer: 28.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-10) - (-12630)\/(-450)) + (-6)\/18?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -3*f**3 - f - 2. Let b be 8\/(-28) + (-36)\/21. Let v(o) be the first derivative of o**4\/4 + o**2\/2 + o - 1. What is b*u(l) - 4*v(l)?\nAnswer: 2*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-3) + (-568)\/426 + 34\/24?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l**3 - 24*l**2 + 131*l - 7. What is c(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the first derivative of -1955*x**3\/9 + 5855*x**2\/6 + 10*x + 10219. Determine c so that p(c) = 0.\nAnswer: -2\/391, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 98*a**2 + 17*a + 32. Let i be b(-2). Suppose -l + 4*n + i = 0, -l + n + 393 = -2*n. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k - 15 = -6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 216923 is divided by 30985.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/2)\/(((-6804)\/8400)\/(-27)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -9 + (15 + -15)\/(3 + -2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-10)\/20*4\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -152acc (base 15) to base 2\nAnswer: -11111001011011111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -44019 divided by -657.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*(sqrt(209)*-1 - sqrt(209) - sqrt(209)) - sqrt(209)) + (sqrt(209)*2 - sqrt(209))*3)\/(-1*(sqrt(11)*-4 - sqrt(11))*3).\nAnswer: -7*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -157224 + 157229. Let m = -7.3 - -7. What is the smallest value in m, 2, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 2, s: 4, l: 1, t: 7}. Give prob of picking 3 t and 1 s.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = 63 + -63. Suppose -48 + g = -f. Suppose -7*q + f = -5*q. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f**2 + 6*f + 27. Let o be v(9). Which is the third smallest value? (a) 26 (b) 2 (c) o (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.09784 and -3888?\nAnswer: 380.40192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -25 + 106 - 22 + 131*n - 111*n to the form i*n + b and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -11 - -7. Let c be u\/((-12)\/39) + 2. Solve f = 2*z - 6 + 1, -5*f = -c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 2\/39, 9011.\nAnswer: -1, 2\/39, 9011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 488729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1650 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-49 + 2967\/92)\/(2 + (-18)\/8). Solve c - t + 64 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**4)**20*(j**(1\/7)\/j)**47)**(-43) assuming j is positive.\nAnswer: j**(-17974\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -5*w + 4, -2*a - 3*a = -4*w + 20. Let r be (-2)\/((a\/5)\/((-4)\/(-10))). Is (-1)\/((r\/39)\/(-1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 75 + -84 - (4 + -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 25, 47, 93, 175, 305, 495?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/((-10)\/3))\/((-12537)\/(-1608915))\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -13\/5 + 2. Let f = 10.049 + -0.049. Let i = f + -5. What is the third smallest value in i, -0.07, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 4*i**2 - i. Let n = -63 + 37. Let b = n + 25. What is g(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 47524802249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -23 (base 10) in base 16?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = -4*c - 30, 3*w + w = 8. Sort -1, c, 3, -3 in increasing order.\nAnswer: c, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -13*m**4 + 2*m**3 - 5*m**2 - 16*m + 8. Let i(o) = -5*o**4 + o**3 - 2*o**2 - 6*o + 3. Let f(u) = -8*i(u) + 3*r(u). Factor f(w).\nAnswer: w**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 66 = 4*w - 2*m, 17 + 38 = 5*w + 3*m. Calculate the highest common factor of w and 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 45*p - 157*p = 69567 - 67215 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t - 988*s - 16 = -994*s, -60*s + 120 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/3 or -172496929?\nAnswer: -172496929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1752\/168 + (-9)\/21. Let h be 36\/(-30) - (-42)\/c. Solve -l = h*z - 2, -l + 4*l = z - 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u*u*u\/u**(-3)*u)\/(u\/(u*((u\/(u**(-10)*u)*u*u)\/u)\/u)) assuming u is positive.\nAnswer: u**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 992062 is divided by 36725.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 5, -220\/4997, -2?\nAnswer: -220\/4997","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2\/15, -0.2, -324\/7, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-11)\/44)\/1 + (-10302)\/(-24). What is the greatest common divisor of c and 3120?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1554)\/168 + (-308)\/364*-13?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from cwwc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-14)\/((-4)\/(-2)) - (21 + 3033\/(-108))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 4 * -8\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 2 = -a. Factor -6*d**2 + 7 - 1 + 0*d - 3*d + 3*d**a.\nAnswer: 3*(d - 2)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lsrr when four letters picked without replacement from {r: 5, k: 1, s: 2, l: 4, j: 2}.\nAnswer: 20\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the third derivative of -m**8\/112 + m**7\/70 + m**6\/20 - m**5\/10 - m**4\/8 + m**3\/2 - m**2. Solve u(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b, 1 v, and 2 p when four letters picked without replacement from {v: 2, p: 3, o: 2, b: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve h + 5*w + 27 = 5, -2 = -4*h - 2*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1044 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 395, -5 in decreasing order.\nAnswer: 395, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out 77.6982 * -0.39.\nAnswer: -30.302298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -67 - -102. Suppose -26 = x - u. Solve x + 7 = -4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -10*b**5 + 12*b**5 + 10*b**5 + (0 - 5 + 6)*(-4*b**5 + 3*b**5 + 3*b**5).\nAnswer: 14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-40)\/2*28\/(-112)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 62339.\nAnswer: 17, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*t - t - 3*t - 5*t - 5*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange s + s + 43*s to the form m + b*s and give b.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 63 a factor of 23500070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let l be ((-20)\/8)\/(15\/(-12)). Calculate the common denominator of 59\/9 and (-30)\/(-40) + (-134)\/(-56) + l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 82942.\nAnswer: 2, 113, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 109*r + 4240. What is b(-39)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -293 <= 481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*j + 3*j - 4*j)*(3*j + 2*j - j)*(2*j - 11*j + 10*j).\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 124473 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -1\/605, -4, 2, -0.39, -0.2, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-133)\/(-105)*200\/80. Which is the smallest value? (a) -318 (b) x (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-16*p - 2 + 26*p + 8*p)*((-2 - 1 + 7)*(2 + 1 - 5) + 6 - 3 - 2)*(-1 - 2 + 4) as j*p + b and give j.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-579)\/(-180) - 2\/6 and ((-297)\/(-1056))\/((-6)\/44).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v = -5*v. Suppose 0 = r + 3*r - 5*q - 33, v = 4*r + 3*q - 57. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2389333 and 595?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -939*n - 1069*n - 943*n + 2800*n.\nAnswer: -151*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f - 5 = -70. Let n(k) = 3*k + 8. Calculate the remainder when n(5) is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -26 + 22. Which is the third smallest value? (a) 2 (b) -1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 5*g - 14*g. Let q(u) = -3*u**2 - 3*u - 3. What is q(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 < 20111816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-20)\/5*(-11)\/(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-4)*s**(-1\/9)*s)\/(s**(-5\/4))**(30\/13))**(-9) assuming s is positive.\nAnswer: s**(53\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 258 and 55599?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 12 = -2*q. Suppose -8*t - 38 = -27*t. Suppose t*k + q*i - 330 = -3*k, -3*i = -5*k + 360. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 50, 39, 10, -37, -102, -185?\n\"Answer: -9*p**2 + 16*p + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 300 (base 12) in base 11?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 2 = 2*f - 3, 0 = -3*c + 3*f. Suppose -2 = -3*z + c. Let u = -30 - -179\/6. Which is greater: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 162 divided by 109\nAnswer: 162\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -31128.031406 - -31128. Let j = g + 0.0308. What is j rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -c**5 + 7*c - 7*c + (3*c**4 - 2*c**4 - 3*c**4)*(-2*c - 4*c + 5*c) + (-3*c**3 - 4 + 4)*(-2*c**2 + 3*c**2 + c**2).\nAnswer: -5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000000034167 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 3\/8 of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -x**4 - 325*x**3 - 23409*x**2 + 503253*x + 526338.\nAnswer: -(x - 18)*(x + 1)*(x + 171)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**2 + 943*v - 7595. Let n be f(8). Suppose -2562 = -5*a - 677. What is the greatest common divisor of a and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3\/1*(-5)\/(-9). Let j = o + -7\/6. Let i be ((-6)\/(-9) + 0)\/(15 + -12). What is the third smallest value in j, i, -4\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -215, -433, -651, -869, -1087, -1305?\nAnswer: -1523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:11 PM and 9:32 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*g + 1026*k - 1028*k - 11, -k = -5*g + g + 25 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((1 + -1)\/2)\/(-2). Suppose s = 2*z - z - 7. Let p be 22\/14 - (-3)\/z. Solve -3*w + 4*i = -19, 0 = -p*w - 5*i - 7 - 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 468787982 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let 16*c**3 - 12*c + 4 = 0. Calculate c.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 15797520 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.52 + 0.18. Let y = 0.4 - a. What is the second biggest value in y, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -86, -80, -70, -56, -38, -16?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 8296003 rounded to the nearest 1000?\nAnswer: 8296000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -21*i**3 + 201*i**2 - 435*i - 225.\nAnswer: -3*(i - 5)**2*(7*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 2, t: 3, x: 5, k: 7}. What is prob of sequence xx?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 1348535200 by -85.\nAnswer: -15865120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 77 and 2002.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((15\/2)\/(-5))\/(((-126)\/(-14))\/1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the first derivative of -y - 1. Let q = 122 - 120. Let l(n) = n - n - q*n - 4 - 3*n + 4*n. Calculate l(g) - 5*v(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 34769, 69450, 104115, 138758, 173373?\n\"Answer: -i**3 - 2*i**2 + 34694*i + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be 39\/6 - 3\/6. Suppose -1 = -h*y + 5*y. Calculate the smallest common multiple of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -a**4 + 289526*a**3 - 20945319924*a**2 - 1593495329526*a - 1572549720075 = 0.\nAnswer: -75, -1, 144801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1 - -4863)\/(-17) - -11. Is -13 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (19 - 1)\/3 + 4. Suppose -15*w = -o*w - 10. What is the greatest common factor of 3 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -28 take away -14.818?\nAnswer: -13.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 100000111110111110111 (base 2) to base 4.\nAnswer: 10013313313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, -5, 4 in increasing order.\nAnswer: -5, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(-9)\/o*o*o*o*o\/(o\/o**(3\/14))*o*(o\/(o\/(o**(-3)*o)*o)*o*o)**(-49) assuming o is positive.\nAnswer: o**(605\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 14666*m**6 + 36*m**2 + 85*m wrt m.\nAnswer: 1759920*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 1827*h + 91266 = -4692*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((-348)\/2)\/(-1 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00006362361933 rounded to 6 decimal places?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 48 and 368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = -2*n - 20, -n - 5 + 9 = -h. Factor 0 + 2\/5*l**2 + n*l + 2\/5*l**3.\nAnswer: 2*l**2*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4195*a = -78616 - 122744 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 41 - 25. Calculate the highest common factor of 176 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-1 - (1 + 0)) + (15 - -40) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 184558 is divided by 1309?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 258346825 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -23*l**4 - 306 - 5*l + l + 308 wrt l?\nAnswer: -276*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ugss. What is prob of picking 1 g and 1 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*w = 8*w - 72. Let l be (-495)\/(-8) - 3\/w. Calculate the highest common divisor of 93 and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5740 = 7*c + 3*r + 5712, 8 = 2*c + 2*r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 939 + -182. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3\/4*g - 3\/2*g**2 + 1\/4*g**3 + 5\/2.\nAnswer: (g - 5)*(g - 2)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**2 - 4*u. Let o(p) = p**2 + 20*p - 5. Let f be o(-20). Let m(g) = g**2 + 5*g. Give f*r(j) - 4*m(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(-3 + sqrt(2)) + -3 + sqrt(14)\/sqrt(7) + -4)**2.\nAnswer: -110*sqrt(2) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 45 + -68. Let l = 40 + s. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in fifteen quarters of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 60\/(-432) + (-14)\/168?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -236131*l**2 - 236738*l**2 + 472870*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from opgnggoooggbpgh. What is prob of picking 2 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 299, 598, 897?\n\"Answer: 299*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*k - 36 = 26*k. Let c be (5 + 162 - 1) + k. Suppose 2*n - 4*p - 283 + 89 = 0, 2*n = -4*p + c. Calculate the remainder when n is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*q - 3*q - 27 + 31 - 1 + 1 - q + (0 + 0 - 1)*(0 + 0 + q) + q - 2*q - 2*q.\nAnswer: -4*q + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -4*y + 5. Suppose -5*k + 7 = 4*r - 1, 5*k + 10 = 5*r. List the prime factors of (0 + k)*-1 + y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j**2 - 56741*j + 28371 = 0. What is j?\nAnswer: -28371, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(5600) - ((sqrt(5600) - -4*sqrt(5600)) + sqrt(5600))*5)\/(sqrt(96)\/(sqrt(60)\/(sqrt(5)*-5) - sqrt(12))) + -5)*4.\nAnswer: -20 + 1392*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 269382099?\nAnswer: 3, 7, 12827719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = -11*x + 27 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - -5) + 3 + -6 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 1. Let j(h) = 3*h - 12. Let g(v) = -2*j(v) - 2*x(v). What is the least common multiple of g(-11) and 48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21467 = -7652*q + 9141 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 148\/12 + 1\/(-3) and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = o**2 + 4*o - 5. Let b = 1 - 5. Let m be r(b). Let t be m\/2 + 2 + -1. What is the smallest value in 0.1, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -34 in -22, 0.02, -1715?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(660)\/sqrt(192) + sqrt(220)*-6)\/(sqrt(55)\/((sqrt(11) - 3*sqrt(11))*-5)))**2.\nAnswer: 607475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = g**2 - 3*g. Give x(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 3*o**3 - 2*o**2 - o - 2. Let n be l(2). What is the tens digit of (1*17)\/(n\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 588 minutes before 3:53 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 9637, 9243, 8849?\n\"Answer: -394*p + 10031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Subtract 3.1 from 0.9798.\nAnswer: -2.1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4 + -4.03. Let m = -15 - -31. Let j = 20 - m. Which is the third biggest value? (a) j (b) i (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/13, 2\/17, -2, 2 in descending order.\nAnswer: 2, 2\/13, 2\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m be 12 + -8 - (1 - -3). Let s be ((-20)\/35)\/((-2)\/7). Put s, 5, -4, m in decreasing order.\nAnswer: 5, s, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -225 = -3*i - 3*y, -4*i + 0*y - 3*y + 299 = 0. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y + 0*y = u - 135, 52 = -56*y + 116*y - 58*y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i. Let k(a) = 7*a + 30. Let g(s) = -k(s) + 4*p(s). Let o be g(-3). Solve 23 = -4*d - 4*r + o, 3 = -3*d + 3*r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -563747 divided by 166?\nAnswer: -563747\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = 15 + -11. Solve s*q = -3*g - 17, g + 4 = 4*q + 9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-2)\/(g\/((g\/(g**(7\/4)\/g))\/g*g*g)*g)*(g\/g**(-3))\/(g**(6\/7)\/g*g*g))**(-1\/14) assuming g is positive.\nAnswer: g**(17\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6 - -1 - -6 - 5) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 2.5+258600\nAnswer: 258602.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*p**3*q**3 - 2*p**3*q - 10*p**2*q + 3*p*q**3 - 8*q**3 wrt p.\nAnswer: 30*p*q**3 - 12*p*q - 20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -3*x**2 + 16*x - 5. Let i be l(5). Factor i*j + 1\/3*j**5 - 1\/3*j**3 + 0*j**4 + 0*j**2 + 0.\nAnswer: j**3*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -26*k**3 - 3*k**2 + 10788*k - 10787*k + 13*k**2. Let d(o) = 5*o**3 - 2*o**2. Calculate 11*d(u) + 2*m(u).\nAnswer: 3*u**3 - 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1263772 divided by 43.\nAnswer: 1263772\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 66905362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*m + 6*m - 2*m)*(19*m**4 - m**3 - 52*m**4 - 14*m**4) - 2*m**5 + 5*m**5 - m**5.\nAnswer: -92*m**5 - 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = -12 - -18. Suppose 0 = 4*c + 2*t - 2870, -t - t = o. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28252086.\nAnswer: 2, 3, 4708681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out 372 + -138.11545545.\nAnswer: 233.88454455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45*l**4 - 84*l**3 + 33*l**2 + 6*l = 0. Calculate l.\nAnswer: -2\/15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = b - 3*k, -4*b + 3*k + 9 = -8. Suppose 3*y = -2*d + b, -d = -y - 3*y + 7. Let r be 10\/(-18) + (-4)\/(-18). Which is bigger: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27442.\nAnswer: 2, 13721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in 2, 1\/84, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2015*m + 392*m = -14442 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5245 + -17?\nAnswer: 522c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = -26 + 38. Solve -3*h - y = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 3558*r + 99607. What is x(-28)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*-4*(0 + sqrt(99) + 1 + (sqrt(11) - sqrt(11)*-2))**2.\nAnswer: -7940 - 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*y + y - 30. Let u = y - 2. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*p**2 + 26639494*p - 362967413 wrt p?\nAnswer: 4*p + 26639494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000152997 rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-110 + 13*d + 110)*(4 + 5*d**2 + 4 - d - 6*d**2).\nAnswer: -13*d**3 - 13*d**2 + 104*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 19765 and 189095.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.082 and 194.81.\nAnswer: -15.97442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i + 20 - 31 = -4*a - 23, 0 = -32*a - 3*i - 244 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 10\/3, -16, 1, 3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f be (9\/6)\/((-214)\/(-52) - 4). Let d(z) be the first derivative of -z**4\/4 + 13*z**3\/3 + z**2\/2 + 8*z + 6. Let y be d(f). Which is greater: y or 20?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 14 = -4*p + 14, h + 24 = 4*p. Let a(t) = -t**3 - 20*t**2 - 36*t + 75. Let w be a(-17). Let m be 440\/w - 2*2\/(-9). Which is greater: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 291 + -124?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 299*i + 35919 = 31434 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -113*m**4 - 4*m**3 + 6915*m**2.\nAnswer: -2712*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -516*s**6 - 14*s**4 + 4139*s**3 + 4*s**2 - 998*s - 5724?\nAnswer: -61920*s**3 - 336*s + 24834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 46064061.\nAnswer: 3, 1609, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 2*q + 1. Let t be z(0). Let p(x) = -6*x**2 + 2*x - 1. Let o be p(t). Let m(k) = -k**2 + 3*k - 3. Let a be m(2). Sort a, -3, o.\nAnswer: o, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 134916*s**3 - 67809*s**3 - 67110*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-5)\/(n\/(n**(1\/6)\/n)))**(-22) assuming n is positive.\nAnswer: n**(451\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2922 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 3*r, -6*r = 4*q - 4*r + 18. Let s(x) be the first derivative of x**3 - 3*x**2 - x - 90. Let j(m) = -3*m**2 + 7*m + 1. Calculate q*j(d) - 7*s(d).\nAnswer: -3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1099053 or -3?\nAnswer: -1099053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 2337 = -5*o, -o + 0*o + 457 = 3*h. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 202857799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*f = 2 - 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 470683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 6 + 5*o - 3 - 58*o**3 - 3*o**2 + 59*o**3. Let n(z) = z**3 - 2*z**2 + 4*z + 2. What is 5*n(h) - 4*p(h)?\nAnswer: h**3 + 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that -2*u**2\/5 + 6*u\/5 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -15, -29, -2 in descending order.\nAnswer: -2, -15, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 130*f**2 + 6*f + 2. Let p(o) = -217*o**2 - 11*o - 4. Let b(j) = 3*p(j) + 5*s(j). What is b(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21 (base 9) in base 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2278 and 4223684?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -184*x + 1357. Is s(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 182 (b) -3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 5*x**3 + 3*x**2 + 3*x. Calculate c(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -1839?\nAnswer: -2\/1839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 6999*(13\/3 + -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9373681.2 + 9373696.2000018. Let p = -16.8 - -1.8. Let u = g + p. What is u rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:26 AM and 5:18 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7822049.2 - 1402829.2. Let q = w + -6419166.00042. Let k = q - 54. Round k to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.5 + -0.6. Let l = d + 1. What is the third biggest value in -0.5, 2\/9, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -86*w - 243 + 243 + 4*w - 4*w + w + (1 + 0 - 3)*(w - 2*w + 0*w) + 0 + 0 + w.\nAnswer: -82*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-20)\/(-12) + -1 + (0 - 0). Let b(t) be the first derivative of 0*t**2 - 3\/4*t**4 + 1 - f*t**3 + 0*t. What is the third derivative of b(z) wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n**4 + 933*n**3\/4 - 1677*n**2\/2 + 1767*n\/4 + 333\/2 = 0. Calculate n.\nAnswer: -1\/4, 1, 3, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 36619 - -4?\nAnswer: 36623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -d**3 - 6*d**2 + 2*d + 8. Let r be m(-6). Let w = -2.4 + 2.7. Let n = 901\/7 - 129. Which is the nearest to n? (a) w (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the second derivative of -157*v**4\/4 + 2251*v**3\/6 + 2177*v. Find the second derivative of r(p) wrt p.\nAnswer: -942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 78*r - 9. Let a be d(-7). What is a rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 54237 and 5151?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*r + 17 = 5*n + 4*r, 5*n + 11 = -4*r. Suppose -4 = 2*v + 6. Let g be 2\/1 - (v - -4). Is g at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8479889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 39208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -10 + 10 + (-3 - 3) + -12?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.43999 + -1.44. What is p rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3552942.\nAnswer: 2, 3, 592157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 957 - 954 - (-19 - -1)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -3 + 1 + 4*d + 4. Suppose -3*s = -3*k - 5*s + 369, 3*k = -4*s + 363. Let a = k + -127. Calculate y(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 3*y + 9 + y - y. Let s(u) = -3*u + 3. Let i(z) = -2*z + 1. Let g(p) = 5*i(p) - 3*s(p). What is -4*d(v) - 9*g(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16264*v**2 + 16257*v**2 - 32520*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + -8 + 81 + -51 + 33.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -181880129, -181880125, -181880121, -181880117, -181880113, -181880109?\n\"Answer: 4*u - 181880133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -189*b + 14 + 8 + 190*b. Let i be g(-19). Let k be (-25)\/(-15) - (-1)\/i. Solve 0 = k*o + h + 1 - 3, -o + 1 = 2*h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1908097 to the power of 1\/2, to the nearest integer?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 17685366587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 25*d + 12*d + 14*d)*(-2 - 1 + 1)*(2 - 4 + 3).\nAnswer: -2*d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 547, -3, 2, -4, 5, 384 in decreasing order.\nAnswer: 547, 384, 5, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -497493 (base 10) to base 4\nAnswer: -1321131111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3\/4*112\/63. Let t = -0.17 + -0.03. Which is the closest to 1? (a) r (b) t (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -3442*r**2. Let x(j) = 95*j + 87*j - 184*j. Give k(x(d)).\nAnswer: -13768*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -7*j**2 - 3*j + 11. Let h(i) = -i**2 - i + 1. Let u(o) = -3*h(o) + v(o). What is the first derivative of u(r) wrt r?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2310 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve x + 3*b = 8, -x + 4 = -112*b + 114*b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-12))**39\/(u*u\/((u\/(u*u**(-2\/5)*u))\/u))**13 assuming u is positive.\nAnswer: u**(-2574\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33 = -4*m - 381. Let y = 148 + m. What is the remainder when y is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 3*r = 3, 1 - 14 = -3*j - 2*r. Solve 14 = j*n - 4*a, -1 = -n + a + 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -24 + 25 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 11 = 27*p + 200 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1297757958 to the nearest integer?\nAnswer: 36024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 86243.\nAnswer: 86243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -9*t**2 - 5 + 0 + 2*t**3 + 10*t**2 in the form q*t**2 + k + y*t + x*t**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/66*(-384)\/144?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1030 + 7184\/7. Let n = f - -324\/91. Let t = 88 - 91. Which is the closest to t? (a) 0.3 (b) n (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 3)*2*30\/36.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -6 (b) 2 (c) -17.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -55047 + 6275407\/114. Let g = q + 4\/57. What is the fourth smallest value in -1, -0.1, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*h + 3*a - a + 14, -5*h + 5*a - 10 = 0. What is the tens digit of (111\/(-9)*h)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*z = -z - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -o - 10. Let w be y(-12). What is the second derivative of 123*c**5 + w*c - 4024 + c**2 + 4015 - 28*c**5 wrt c?\nAnswer: 1900*c**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -17 - (-45 + 5 - (-20 + 4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -c**2 + 10*c - 11. Let j be o(8). Let p = j + -5. Suppose 4*m + p*m = 580. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 197010 and 720.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5 + 10. Suppose -3*v + 5*v + 4 = 0. Let n be 1\/((142\/16 - 3) + (-12)\/(-96)). Which is the second smallest value? (a) s (b) -1 (c) n (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.15*-90\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000704044252 rounded to seven dps?\nAnswer: 0.0000704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 208 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(63) + 1*sqrt(63)))\/sqrt(9).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.94111849 to 2 decimal places.\nAnswer: -0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*y = 5*y - 44. Suppose -y*d - 32 = -4*j, -d + 4 = 2*j - 12. What is the remainder when 20 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -48651024 - -48650911.999951. Let u = 21.5 - -90.5. Let h = w + u. What is h rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**2 - 23844*v + 143021. What is y(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2603 - 821. Let y = w - 49869\/28. Calculate the common denominator of y and 23.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*u - j - 103, -4*u + 3*j + 0*j + 109 = 0. Let s be 1910\/25*u\/88. Let v = s - 115\/11. What is the common denominator of -89\/22 and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*(a\/(a**(-3\/2)\/a*a*a))\/a)\/a)\/(a**2*a)*((a*a**1\/a*a)\/a*a)**(6\/37) assuming a is positive.\nAnswer: a**(-161\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -413*h - 3301*h - 42752 + 20746 = 44846 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 220 a factor of 1698745620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 15*j - 17*j = 10, 10 = 5*m + 2*j. Let p be (-45)\/6*(-56)\/21. Solve -m*l = 3*l - p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = -2*k + 2*f, 41 = -1437*k + 1441*k + 5*f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -0.16 times -38.304562\nAnswer: 6.12872992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 14693119 to the power of 1\/2, to the nearest integer?\nAnswer: 3833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:52 PM and 11:56 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 6\/(-18)*(7 - -17)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1110100000010101 + -1010?\nAnswer: 1110100000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (3 - 1) + 5 + 5 + -27 + 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hhcc when four letters picked without replacement from {h: 11, c: 5}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 9109844, 9109848, 9109850, 9109850, 9109848?\n\"Answer: -s**2 + 7*s + 9109838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3\/(-12) + (-22)\/(-24). Let o = 0.607 - 0.007. Does o = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 428 + -434. Let c = -5\/42 + -3\/14. What is the nearest to c in w, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f + 4*w - 21 = -1, 2*f - 2*w + 18 = 0 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (627*u + 1 - 1323*u + 620*u)*(1 - 1 + 2).\nAnswer: -152*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2411 divided by 5.\nAnswer: -2411\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -9*g**3 + g**2 - 19*g - 14. What is the units digit of l(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -o**4 + 127*o**3 - 375*o**2 + 373*o - 124 = 0.\nAnswer: 1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange w + 15*w**3 + 2 - 1 - 16*w**3 - 3*w**2 - 5*w to the form k*w**2 + r + u*w + g*w**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -10*p - 35. Let u(w) = 7*w + 5. Let s be u(0). Let t be -4 + 1\/(-6 + s). What is the remainder when 59 is divided by k(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange i**2 - 28*i + 6*i**2 - 30*i - 3*i**2 + 40*i to j*i + w + v*i**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*y - 7 = -47*y - 19 - 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Evaluate ((211\/26375)\/((-2)\/(-3)))\/(15\/50*-4).\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1420858966 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: What is the value of 3 - (3 + -4) - (1 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from ypnyhhhrhhyz.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -110, 15 in decreasing order.\nAnswer: 15, -5, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(121) + (sqrt(121) - (sqrt(121) + sqrt(121)*1)*-6))\/(sqrt(11) - (sqrt(11) - (sqrt(99)*-2)\/sqrt(9))).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20640 divided by -5160.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -31435 - -53556. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8087?\nAnswer: 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 2 + 4 = 0. Let g(k) = k**2 - 3*k. Let b be g(4). Suppose 0 = j + b. Sort s, 1, j.\nAnswer: j, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -s**3 - 32. Calculate b(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -26*m - 74. Let i be w(-3). Let g(j) = 1. Let a(r) = -r + 4. Determine i*a(t) - 18*g(t).\nAnswer: -4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:16 PM and 8:48 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -507*(5 + 32\/(-6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) be the first derivative of -7*d**6\/6 - 9*d**5\/5 + 3*d**4 + 4*d**3\/3 - 22. Let p(o) = 0. What is o?\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 5, -94 in descending order.\nAnswer: 5, 2, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eexeeexeeeeeexee. Give prob of sequence xxx.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 284 + -130. Suppose -22 = 3*v - 4*v. What is the greatest common divisor of q and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 2*j**2. Let g be (1 - 1) + (1 - -1). Suppose 4*f + 3 = 5*f. Let u(b) = b**g - f + 3. What is u(c(o))?\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let 4*v**2 - 120680*v + 603300 = 0. Calculate v.\nAnswer: 5, 30165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:05 AM and 3:00 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(140\/(-112)*4\/10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 13513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = 14 + -11. Suppose -5*s + 6*a + 213 = 3*a, -3*s = -4*a - 119. Suppose -4*r + r + s = -3*h, -j*h = 12. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1380692 and 3700?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) be the third derivative of -i**6\/40 + 9*i**5\/20 + 5*i**4\/4 + 13*i**2 - 9*i + 4. Factor d(k).\nAnswer: -3*k*(k - 10)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that -8*j**5\/7 - 2766*j**4\/7 + 361082*j**3\/7 - 442836*j**2\/7 - 536400*j\/7 = 0.\nAnswer: -447, -3\/4, 0, 2, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**4*z**0*(z\/z**2)\/(z**(4\/3)\/z*z*z) assuming z is positive.\nAnswer: z**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -15 - (2 + -15 + -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2021*g**3 + 0*g**2 - 2017*g**3 + 4899*g + g**2 + 4041*g**3 to the form c*g**2 + y + s*g + w*g**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) be the second derivative of 1\/4*x**2 + 0 + 1\/8*x**3 + x + 1\/48*x**4. Factor w(q).\nAnswer: (q + 1)*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 40 + -26. Let g = a + -78. Let i = g - -64. Put 5\/2, -3, i, -25 in decreasing order.\nAnswer: 5\/2, i, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*q - 4*h - 124, 8*h + 48 = 3*q + 5*h. Solve -29*b - 160 = -q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*sqrt(252) - sqrt(252)) + -1)**2.\nAnswer: 60*sqrt(7) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -z**2 + 7*z + 3. Let l be (-13)\/(-2) + 4\/8. Let i be u(l). Let d = 0 + i. Solve -d*s - s = -4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 58 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = 13 - 23. Let a = l + 26. Calculate the least common multiple of 8 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 25229338*l + 35659069 wrt l?\nAnswer: 25229338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 60795596 and 781?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -7*i - 45. Let d = 91 + -99. Let s be c(d). Suppose 45 - 12 = s*k. What is the least common multiple of k and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -i - 5*j + 10, -5*i - 2 = -2*j + j. Suppose i = -5*n - 25 - 5. Let o(k) = -7 + 2 - 6*k + 4 - 8 + 4*k. Let d(a) = -1. What is n*d(r) + o(r)?\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = -16 - -22. Suppose f*l - 6 = 3*l. Sort 1, -5, l in descending order.\nAnswer: l, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p*p**6*p*p**13\/p*p\/(((((p*p**(-16\/3))\/p*p*p)\/p)\/p)\/p)*p\/(p**(-10)*p))**(-50) assuming p is positive.\nAnswer: p**(-5750\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -223*q + 54424 + 179057. Solve -1052*s + q*s = -10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 245 = 27. Let t = 2450\/9 + d. What is the fourth smallest value in -81, t, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the third derivative of s**5\/60 + s**4\/6 + s**3\/2 - 5*s**2. Determine b(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-870)\/(-115)*36524\/4764.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:48 AM and 8:57 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oljj when four letters picked without replacement from loljljl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.56999938 - -0.57. What is t rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 4*d + 14. Let x(c) = -5*c - 16. Let a(b) = -6*h(b) - 5*x(b). Let v be a(6). Let y = 0 + -5. Sort v, -3, y in ascending order.\nAnswer: y, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 222*h + 694. List the prime factors of w(27).\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zvvlllllyly. Give prob of picking 1 v and 1 z.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13133464 divided by 283.\nAnswer: -46408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 99309973*y + 199138783 wrt y.\nAnswer: 99309973","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add -1.711 and -2.\nAnswer: -3.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) -1\/3 (b) 2 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 7*j + 8 - 14*j + 6*j + 3 - 20*j**2 - 4*j**3. List the prime factors of c(-9).\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -2036528, -2036430, -2036332, -2036234, -2036136?\n\"Answer: 98*k - 2036626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -f**2 + 122*f + 3673. Let r be z(-25). Let i = 109 + -551\/5. Is r greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.1708 >= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -243\/29 + 70786\/145. Let z = m + -479. Let s = 5 - 8. Which is the second biggest value? (a) -5 (b) z (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (6*4\/36)\/(2\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*i**2\/5 - 9664*i\/5 - 9654.\nAnswer: -2*(i + 5)*(i + 4827)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 4*z + 5*z = 101, -3*z + 111 = 3*u. Suppose 3*h + x + 25 = 73, x = -2*h + u. Calculate the remainder when 45 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9 - (-2 - -5)) + (25 - 47) + 38.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -505054269 divided by 397\nAnswer: -1272177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2684*a**2 - 75*a**3 + 2063*a**2 + 196*a**5 - 199*a**5 - a**4 - 23*a**3 wrt a?\nAnswer: -180*a**2 - 24*a - 588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 - 10 = 6*k. Let r(n) = -n**3 + n - 1. Let a(j) = 7*j**3 - j**2 - 3. Let x(q) = a(q) - 2*r(q). Calculate x(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5286324l in millilitres?\nAnswer: 528.6324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract 267811720698 from 3.\nAnswer: -267811720695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 36 + 8*h**2 + 7*h**2 - 13*h**2 in the form c + u*h + b*h**2 and give c.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**3 + 6*v**2 - 5*v + 3. Let z = 10 + -5. Let r be w(z). Let x be (-1)\/3*(0 - -1). Sort r, x, 0.4 in decreasing order.\nAnswer: r, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 102 + -66. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -4064, -8 in decreasing order.\nAnswer: 0, -8, -4064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 170 or 3419\/20?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-12)\/(-8) - 75\/10. Let x = s - -30. Suppose 0 = -5*p - 3*w + 38 + 422, -295 = -3*p + 2*w. Calculate the remainder when p is divided by x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11585359 < 11585364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 138 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/131? (a) 35\/3 (b) -0.71 (c) 2\/9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -8*k**3 - 6*k**2 - 4*k. Let h(p) = 137 + p**3 - 137. Let j(s) = -6*h(s) - t(s). Factor j(x).\nAnswer: 2*x*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6790221 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 33897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (99\/6*48\/44)\/(-2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3396183, -3396176, -3396163, -3396144?\nAnswer: -3396119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxkixxkxxxpxpxpixixk. Give prob of sequence xpxp.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 6637165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(3 + ((sqrt(275) - (sqrt(275) - (sqrt(275) + (sqrt(275) + 0)*-5 - sqrt(275))))**2 - (sqrt(275)*-2 + sqrt(275) - sqrt(275))*-5))*-4.\nAnswer: -137560 + 1000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2071 - -3580. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 65 - 67. Let o be 5 - ((-4)\/l - (12 - 9)). Suppose 3*h - o*h - 717 = 0. Round h to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -210 - 585461?\nAnswer: -585671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(2) + -3)*-2)**2.\nAnswer: -384*sqrt(2) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 6*f**2 + 2*f - 1. Let c(r) be the third derivative of -1\/12*r**4 + 0*r + 0 + 2*r**2 - 1\/12*r**5 + 1\/6*r**3. Let y(s) = -7*c(s) - 6*x(s). Factor y(t).\nAnswer: -(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*g + 64 - 120 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-g**2 + 3*g**2 - g**2)*(g + 2 - 5 - 3).\nAnswer: g**3 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be (4\/3*-1)\/(-2). Let h = -2.6 + 3. Which is the nearest to m? (a) h (b) -0.5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 365*d**2*f**2 + d*f**2 - 190*f**2 wrt d?\nAnswer: 730*d*f**2 + f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**3 + 5*u**2 + 3*u - 27. Let r be l(6). Let i be 9\/r - (-1)\/5 - -125. What is the greatest common factor of i and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l**2 - l - 1. Let a(p) = -7*p**2 - 4*p - 8. Let q = 20 + -14. Suppose 5*c + 8 = -3*o, -2*o + 7 = -4*c - 5*o. Let d(k) = c*a(k) + q*z(k). Give d(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + (885\/59 - -28)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -27 + 37 + 62 = 9*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*x**4 - 2*x**3 + 223463*x**2 - 2*x - 79417 wrt x?\nAnswer: -24*x**2 - 12*x + 446926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4066469?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 26*m + 56. Let d be q(10). Factor -9 + d*v**2 + 321*v**2 - 636*v**2.\nAnswer: (v - 3)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 16 - 14. Let s(m) = 0*m - 2*m**2 + 30 - 28*m + 8*m + 6*m**t. Let f(n) = -1. Let z(j) = -6*f(j) - s(j). Factor z(g).\nAnswer: -4*(g - 3)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-9)\/(-15)*(-30)\/(-12)*(-16)\/3. Let l(p) = -p - 1. Let y be l(2). Sort y, 3, h.\nAnswer: h, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10558020?\nAnswer: 2, 3, 5, 11, 17, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n**4 - 3624*n**3 + 10884*n**2 - 10888*n + 3630 = 0. What is n?\nAnswer: -1815, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 113091 is divided by 22615.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 25\/25484 and -99\/2?\nAnswer: 25484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -14 (base 15) to base 3.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/((-3)\/(-2))*-6. Find the common denominator of -47\/9 and 0\/(-3) - (-11)\/j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 0 = 1. Let f = 0.17 + 0.03. What is the closest to 0.1 in f, 2\/3, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = 15*k - 12*k + 72, k = 4*f - 154. Let p = -132 + 209. Calculate the remainder when p is divided by f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6\/5? (a) -2\/5 (b) 0.3 (c) 110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (-46 + 428 + 82)*(-8*w - 16*w + w) as m*w + r and give m.\nAnswer: -10672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -0.249 times -1.5\nAnswer: 0.3735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from woqttooqoout.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = 59 + -47. What is the remainder when (-1*(-3 + 50))\/(-1) is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 67323, 132450, 197577?\n\"Answer: 65127*z + 2196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1767 - 630*n**4 + 780 + 621 - 552*n + 552*n with respect to n.\nAnswer: -2520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -40007\/4 and -10003 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 268 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-18 - 1)\/(-2 - -3). Let n = 9 - u. Suppose -p - 3*p = -n. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -189 = 232*n - 1554 - 5363 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -68521666*y**3 + 137043382*y**3 - 68521712*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -327*y + 64. Suppose -2*u + 7*f = 5*f + 40, -f + 3 = 0. Is c(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -872 + 0?\nAnswer: -872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -17*u - 81. Let f(b) = -27*b - 136. Calculate -8*a(n) + 5*f(n).\nAnswer: n - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1.2 - 1.1. Let v = -166 + 171. What is the second smallest value in d, v, 0.3, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7.7 - 7.838. Round d to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.04838 to three dps.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 308 = 307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b**2 - 10*b - 11. Suppose -21*d + 54 = -19*d. Suppose -4*w - d = -t, 4*t - 3*w = 72 - 16. Give a(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/((-325)\/10) + (-92)\/20 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u = -289 - 1141. What are the prime factors of u?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 28, 43, 64, 91?\n\"Answer: 3*d**2 + 6*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -57708100 rounded to the nearest 100000?\nAnswer: -57700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Add 0.04131 and -7.9869359036.\nAnswer: -7.9456259036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 13) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14 - (16 + (-9 - (2 - 2))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 20583480?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/4 greater than 2.744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = -219.7 + 220. Let x = -1\/27 - -59\/135. What is the nearest to -1 in 3, x, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.14 - -0.56. Let x be (2\/((-42)\/(-65)) + -3)\/((-168)\/(-294)). Which is the biggest value? (a) x (b) 0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1478.814 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 130 + 542 = -49*p + 40*p + 41*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -70200 times 0.0991?\nAnswer: -6956.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 16\/7 in -2, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-159)\/((81\/225)\/(-9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 23, 66, 137, 236, 363?\n\"Answer: 14*m**2 + m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = n + 19. Let j be d(-8). Suppose 0*o + j = o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*y**2 - 2 - 14*y**2 + 2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 67371.\nAnswer: 3, 17, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 102010010 (base 3) in base 11?\nAnswer: 60a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**3 + k**2 - 2*k + 4. Let p be j(-3). Let s = p + 13. Suppose v + 5 = 0, -4 = o - 3*v - 21. Solve -4*c - s = h, -o*c - 3 + 2 = -h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 9006904*x**2 - 3839924*x wrt x?\nAnswer: 18013808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2276 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 962 times 1.6\nAnswer: 1539.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 62 + 49*r - 63)*(-13*r**2 - 10*r**2 + 5*r**2).\nAnswer: -882*r**3 - 54*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -160*n + 105*n = -275 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -39*h**6 - 6*h**4*r**3 - 366*h**2*r - h*r**3 wrt h.\nAnswer: -4680*h**3 - 144*h*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 941669 is divided by 1019.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 207067*v**4 + 5258064.\nAnswer: 828268*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2 (b) 5 (c) 2\/9 (d) 4 (e) 9\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -164600 to the nearest 1000.\nAnswer: -165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 87 - 88. Let q(z) = -4*z**2 + 37*z - 5. Let j be q(9). Suppose 0 = -4*a + 4*n + 36, 0*a + j*n - 12 = -2*a. Put y, a, 3, -4 in descending order.\nAnswer: a, 3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 4, l: 1, t: 1, x: 1, m: 1, d: 9}. What is prob of sequence lxmb?\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.007533 - 249.815467. Let g = -250.148 + 0.148. Let r = z - g. What is r rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*t**2 + 0*t**2 - 12 + 0*t**2 - 18.\nAnswer: -2*t**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p + 3*w + 451, 9*p - 7*p + 3*w = 445. Suppose 8 - 298 = -4*b + a, 0 = -3*b + 4*a + p. Calculate the greatest common factor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*n + 27 = -2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 24575421 to the nearest one hundred thousand.\nAnswer: 24600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = 26.2 - 26.200004308. What is g rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is x in x**4 - 9*x**3 + 22*x**2 - 32 = 0?\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 4 (b) -4 (c) -4\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = s**2 - s - 1. Let u(g) = -14*g**3 + 4*g**2 - 8*g - 4. Determine u(w) - 4*x(w).\nAnswer: -14*w**3 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -17*f - 19*f - 4 - 3 - 3*f. Is l(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -31*l**3 - l**2 - 3*l. Let j be d(-3). Suppose 5*w - 272 = -j. Round w to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -95\/168 + 4\/21. Let o be (2\/(-4))\/(4\/(-40)). Suppose o*l = 2*l. Which is smaller: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -447 + 450.03. Let c = -0.03 + y. What is the biggest value in 3\/4, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4 + -57f42b5?\nAnswer: -57f42b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 2 * -745898\nAnswer: -1491796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x**3 - 6*x**2 + 1562*x + 1080. Calculate c(37).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 86 divide 22532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -51752\/1705 - 16\/341. Let m = k + 30. Let w = -9 - -12. Which is the second smallest value? (a) w (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 5, -222 in descending order.\nAnswer: 6, 5, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 4626.892 milligrams in grams?\nAnswer: 4.626892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 144.9 + -145. Which is the smallest value? (a) f (b) -1\/4 (c) -0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 3*r**2 - 129*r + 362. Let z be v(40). Which is the third biggest value? (a) z (b) 5\/4 (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -x**3 + 10*x**2 - 18. Let w be p(10). Calculate the remainder when 245 is divided by 98\/8 - -4*w\/(-96).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 78 and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -y + 18. Let h(u) = 3*u - 17. Let c(l) = 6*h(l) + 5*i(l). Find the first derivative of c(x) wrt x.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find u such that -5*u**5 - 2695*u**4 - 47295*u**3 - 211545*u**2 - 281340*u = 0.\nAnswer: -521, -12, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.016 - -0.111. Let i = 4.095 - f. Which is the nearest to 2\/5? (a) 0.5 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l - 36 = -11*l + 4*p, -4*p = 16. Solve -5*d = -l*n - 4, 3*d + 6*n - 32 = n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 643\/246515 or -1?\nAnswer: 643\/246515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -6*a**2 - 16*a*j**2 + 593*a + 47967*j**2 - 11*j with respect to a.\nAnswer: -12*a - 16*j**2 + 593","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -5004, -20007, -45012, -80019, -125028, -180039?\n\"Answer: -5001*t**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 36069 - 5\nAnswer: 36064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = -368 + 748. Suppose w = 5*w - a. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 101042 - 71918. What is the ten thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (17*m - 93*m + 5*m)*(-322*m**2 + 2*m**3 + 322*m**2) in the form f*m**2 + n*m**4 + t*m + q*m**3 + l and give n.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -51\/1740281 and 57\/90170.\nAnswer: 17402810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 11242259 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 539*s - 1799. Let o be n(5). Calculate the greatest common factor of 704 and o.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1451.9 - -27?\nAnswer: 1478.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 44949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 5221090 to the power of 1\/2, to the nearest integer?\nAnswer: 2285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the first derivative of 4*n**2 - n + 8 + 4\/3*n**3. Let x(y) be the first derivative of a(y). What is the derivative of x(f) wrt f?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -62 + 82. Calculate the greatest common factor of 220 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zz when two letters picked without replacement from zxxxzxez?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/5, 3\/5, -1\/2, 6, -3649 in decreasing order.\nAnswer: 6, 3\/5, -1\/5, -1\/2, -3649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -y**3 - 12*y**2 - 10*y + 7. Determine s(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 24dd - 2?\nAnswer: 24db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o - 4*k - 7 = 0, -4*o = -2*k + 9 - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in q**2 - q + q + 0*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -86*s - 2. Calculate d(-1).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 2*b - 2. Let g be u(2). Suppose 0 = g*l - l - 15. Suppose -3*q + 2*h = -0*h - l, -2*h = -6. Solve q*p - 8 = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -1 - -1 - (-1 + -1). Suppose -4*y - 5*d + 48 = 0, 0 = 2*y + 2*y + g*d - 36. Solve 5*a - y*t - 35 = -2*t, -5*a - t + 5 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 764 - -67?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the first derivative of b**2 + 48*b + 34. Let k be g(-23). Solve -2*x + 0*x = k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**11*o\/o**(5\/2)*o*((o*o\/(o\/o**(1\/15)))\/o)\/o*o\/(o\/o**(-5\/3))*o)**(9\/5))**17 assuming o is positive.\nAnswer: o**(13617\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 182205 is divided by 733?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4307 and 584?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 9) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:33 PM and 11:10 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -16 - 4 - 2 - 42 - 8*r wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*(-6)\/9*(-13)\/((-33670)\/420).\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by -1944\nAnswer: 1\/486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -3*x. Let y(p) = 4 - 2 - 17*p + 1 + 2. Let w(u) = 162*u - 48. Let q(i) = -5*w(i) - 48*y(i). Determine k(q(o)).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4\/11 - 17640\/(-10780). Let -72\/5*m - 42\/5*m**j - 24\/5 + 18\/5*m**5 + 66\/5*m**4 + 54\/5*m**3 = 0. Calculate m.\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 8 and 1534?\nAnswer: 6136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*s**4 - 2*s**4 - 4*s - 4*s**4 - 2*s**4 + 3*s**4 + s**4 + (-7*s + 2*s + 3*s)*(0*s**3 - 5*s**3 + 3*s**3).\nAnswer: 4*s**4 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 828 is divided by 44?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 219 + -84. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 640 by -128.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 40*b - 74. Let u(o) = o. Let g(j) = l(j) + 4*u(j). Does 6 divide g(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u*u\/u**(-3)))**(-43)*u*u\/(u\/((u\/(u\/(u*u**2\/u*u*u)))\/u))*u*(u*u\/u**(3\/4)*u*u*u)\/u assuming u is positive.\nAnswer: u**(721\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -6*f + f. Let p(s) = -s**3 + 4*s**2 + 5*s + 2. Let u be p(f). Solve u - 6 = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.083*-95.593\nAnswer: -7.934219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -8 + 11. Let m be (-8)\/(-20) + 333\/5. Suppose -3*j + m + 2 = 0. Solve -u*s + 4*q - 54 + j = 0, 4*q = -4*s - 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 167 minutes after 8:10 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 737394 and 362?\nAnswer: 737394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1730*t**2 + 3270?\nAnswer: 3460*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 27 - 15 - -6 - 15 - -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33 - 553 = -4*r. Suppose -3*v = 2*v - r. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -45*m. Let l(g) = g + 1. Let o(i) = l(i) + y(i). Let b be o(2). Let d be b\/(-9) - (-8)\/(-12). Calculate the greatest common factor of 27 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 + 4 - 5 - (17 + -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 0, 63, 180, 357, 600, 915, 1308?\nAnswer: 1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = j**2 + 3*j - 1. Calculate f(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 4*f + 949196 = 0, 6 = -27*f + 24*f. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11010001011000000 - 0?\nAnswer: -11010001011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*l + 12. Let z(m) = m**2 - 5 + m + 0*m**2 + 2. What are the prime factors of z(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -2*r**3 - 4*r**2 - 6*r - 1. Suppose 2*i + 2*u = 7*i + 17, -3*u + 3 = -3*i. Is m(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 43685?\nAnswer: 5, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = 288.6 - 289. Let h be (1518\/42)\/(2\/(-4)). Let j = 72 + h. Which is the third biggest value? (a) j (b) 3 (c) r (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -225.9 - -201. Let d = -24.9000181 - x. What is d rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - -97068703?\nAnswer: 97068702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 46 divided by -46.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 338 + -335. Solve 0*z + 5 = -4*u + q*z, -3*u - 12 = -5*z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the third derivative of 7*a**5\/60 - 5*a**4\/24 + 7*a**2. What is the second derivative of q(i) wrt i?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*n + 6*n - 5*n)*(-2*n + 3*n - 3*n - 2*n + 0*n + 0*n + (2*n - 1 + 1)*(-1 + 2 - 2) + 0*n - 2*n + n + 0*n + 2*n - 4*n + 13*n + 15*n + 15*n).\nAnswer: -136*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -104, -3, 1 in decreasing order.\nAnswer: 1, -1, -3, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = c**2 - 6*c - 28. Determine v(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -79 times -7888\nAnswer: 623152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8379616167.998271 - 8379612715. Let z = -3453 + q. Round z to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -56137 (base 8) in base 10?\nAnswer: -23647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 18, 146, 490, 1158, 2258?\n\"Answer: 18*n**3 + 2*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4516239\/9 - 3\/(-6). Let p = 499939 - v. Let b = p - -1887. Find the common denominator of 13\/18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -7392, -17667, -27928, -38169, -48384, -58567, -68712, -78813?\n\"Answer: x**3 + x**2 - 10285*x + 2891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -12698720 - 2?\nAnswer: -12698722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = 207811.0038 + -207847. Let h = -36 - x. What is h rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -440 + 98 - 2059*u + 2059*u - 546 + u**2 in the form a*u**2 + x + w*u and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*r**3 - 4*r**2 + 3*r**2 + 3*r**3)*(5*r - 4*r + 0*r).\nAnswer: -r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = 62512.83 - 65301. Let t = 2805 + q. Let h = t + -1.03. What is h rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -12 + 0 + 3 - 13 - 1813*i. Let w be a(6). What is w rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -2*v**2 - 10*v + 6. Let n be d(-5). Let k = -2 - 4. Let r = 8 + k. Solve 0 = -2*o - 4*a - n, -6*a + r*a = 16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 4*u + 74 = 0, 0*p - 5*p + 5*u = -115. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*w**6 + 3*w**4 + 407*w**2 wrt w?\nAnswer: 240*w**3 + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*y + 437 = -2*l + 459, 5*l - 39 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -27 - -73. Let u = r - 30. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -i**3 + 8*i**2 + 9*i + 3. Let j be b(9). Suppose 5*k - 42 = j*k. What is the second derivative of s + 26*s**5 - 5*s - k*s**5 wrt s?\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 486 and 918.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 5) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 - -1.02. Let t = -3 - -3.02. Let w = t - p. Which is the closest to w? (a) 1\/4 (b) 3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4495 + 1501 + 1494 + 220*q + 1494)*(3*q**2 + 2*q - q + q) to the form y + z*q + n*q**3 + f*q**2 and give n.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 433229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -2 - (4 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 59\/93240 and 137\/5550.\nAnswer: 466200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 7451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -11\/30 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-3)\/(z*z**(-16)))**(-2\/37) assuming z is positive.\nAnswer: z**(-24\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 2*d + 13. What is the units digit of y(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 17190*w**2 - 498*w - 2467. Is l(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 10144362 or 10144364?\nAnswer: 10144364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**3 + 56*z**2 + 333*z - 495. Give n(-49).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of c**2*r**2 - 162*c**2*r - 438*c**2 wrt r?\nAnswer: 2*c**2*r - 162*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -143 + 149. Suppose -1638 + 5412 = y*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 44*p - 2 + 45*p - 5 - 86*p + p**3 in the form d + g*p**2 + i*p + z*p**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5157 - -4?\nAnswer: 515b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -236290, -472562, -708846, -945148, -1181474, -1417830, -1654222, -1890656?\n\"Answer: -q**3 - 236265*q - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/18 and -105\/38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -4160909\/5 equal to -832181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 119527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2740496?\nAnswer: 2, 11, 23, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 114 + -103. Suppose v + 29856750 = s*v. Let c = -1605675 + v. What is c rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v**3 - 2*v**2 - 2*v - 1. Let y be s(-2). Suppose -2*b - y*b - x = -39, 4*b + 3*x - 29 = 0. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 11 = 5*z, 0 = -5*s + s - 3*z + 61. What is the remainder when 76 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 55.76181ml in litres?\nAnswer: 0.05576181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -952be - -2?\nAnswer: -952bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -8003*c**3*q**2 + c**3 + 2*c**2*q**2 - 433*c**2*q + 2*c - 2 wrt q.\nAnswer: -16006*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -27 + 27.22. Let n = a + -0.2189. What is n rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 220498176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(15) - -1*sqrt(15)*2)\/(sqrt(45)*-2) + -1.\nAnswer: -1 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 136.140433 + -0.077433. Let g = y + -136. Let m = -0.363 + g. Which is the closest to 4? (a) 4 (b) 2\/15 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/48 and -23\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = -11 - -48. What is the remainder when i is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-8)\/20)\/(7\/35))\/(-5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 1135162*y - 192. Let n be o(16). What is n rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2744 is divided by 131?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 0.4, -0.03, 607\/146?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2202057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*q + 976526 - q - 2*q.\nAnswer: 2*q + 976526","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1304 - -2110. Does 47 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -10*u - 198. Let z be t(-20). Factor -5195 + 4*g**3 - 4454 - 4751 + 14880*g - 484*g**z.\nAnswer: 4*(g - 60)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.64, -2\/3, 1\/3, -47?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 18 - 8. Suppose -5*k + 25 = -2*n, 0 = 4*k + 2*n - 11 - 9. Let t be -2 - -1 - (-5 + -1). Solve -4*s + 27 - 2 = k*v, -2*v - t*s + z = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t\/(t*(t*t**(-9)\/t)\/t)))**(-7\/2)\/(t\/(t\/t**(-23))*t**(-7\/8)*t) assuming t is positive.\nAnswer: t**(435\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(1470)*-2*6)\/(sqrt(360)\/sqrt(9) - (-2*sqrt(810) - sqrt(10))))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:14 AM and 3:51 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(117)*2)**2.\nAnswer: -2340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide 4918564 by -7.\nAnswer: -702652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -1\/5, -4083\/2, -1.15, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z, 1 j, and 1 s when three letters picked without replacement from {b: 4, z: 2, s: 10, j: 3}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -32 - (0 + (41 - 42) + (2 - -4))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -23 - -51. Suppose -q = 2 + v. Let y = 47 + q. Calculate the greatest common divisor of 187 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 10, k: 10}. Give prob of picking 2 k.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*b - 31 = -2181 for b.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 85600 rounded to the nearest 1000?\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**2\/5 + 210072*f\/5 - 1764252.\nAnswer: -(f - 210030)*(f - 42)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 38 - (17 - (-13 + -10 + 19)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 124, 6, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-27)\/2862)\/(3\/6). Sort c, 5, 0.2, 0.3, -1\/8.\nAnswer: -1\/8, c, 0.2, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 62811 is divided by 30697.\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (-1 - -1 - 5)*(0 + -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -336 + 4?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c - 40 = -4*f, 29*c = 28*c + 3*f - 6 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 3054851441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 20 + -21. Sort t, 4, 8 in increasing order.\nAnswer: t, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -3*k + 4. Let z = -315 + 335. Suppose -p = -z + 23. Give x(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.06 in -0.2, -3\/4, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 8728065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 33.9885171 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = r + 2. Let f be q(5). Suppose -f*a + 52 = -5*a. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 2*y**2 - y - 1. Suppose 3*r - r = -10, b - 5*r - 27 = 0. Give p(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 8134*v**3 + 3557 wrt v?\nAnswer: 24402*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 90\/(64\/(640\/75)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -32 + 31.2. Let j = f - -0.4. Sort -2\/7, j, 0.3 in descending order.\nAnswer: 0.3, -2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -h + 1 + 6 = 5, 3*h = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 17596\/97 or 180?\nAnswer: 17596\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 870 = 23*j - 18*j, 0 = -7*o - 21. What is the highest common factor of j and 27789?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 49*o - 51. What is r(3)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 74 - 58. Suppose -3*r = l*r - 2926. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 36967, 147595, 331979, 590125, 922039, 1327727, 1807195, 2360449?\nAnswer: 2987495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-14)\/(-105)*(-1320)\/(-16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q**3 - 3*q**2 + 2*q - 1. Let y be n(3). Suppose y*m - 7 = 3. Solve -m*z + 3*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1079865.\nAnswer: 3, 5, 19, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 409, 395, 383, 373, 365?\n\"Answer: l**2 - 17*l + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.05 + -1.95. Let q(w) = w**2 + 8*w + 2. Let g be q(-8). Suppose o = g*o. What is the third biggest value in o, 1\/6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m - 6 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.5 and 1.408?\nAnswer: -2.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -127418 by 145.\nAnswer: -127418\/145","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Let c = 750 - 738. What is the least common multiple of c and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6 + 8. Suppose 3*y = -3*n + 225, y + 3*n + d*n = 71. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7 + 12. Suppose 40 = m*r - d, 5*d - d = 5*r - 40. Calculate the smallest common multiple of 10 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 1, -5, -9 in ascending order.\nAnswer: -9, -5, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 44276467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5 (b) 3 (c) 2917 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 31924 is divided by 1686.\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 237285 is divided by 10725?\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 2*m**2 + 23*m + 71. What is c(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -11*b - 17. Let d(w) = 33*w + 62. Calculate 2*d(v) + 7*l(v).\nAnswer: -11*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/3 of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 26, 0.11, 1, -4, 141, -2 in descending order.\nAnswer: 141, 26, 1, 0.11, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -6a (base 11) in base 15?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.093 - 0.523. Let h = k + 3.83. Let x = h - 3.43. Is x greater than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30322309?\nAnswer: 19, 31, 51481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3 + -4272635?\nAnswer: -4272638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000006026 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (a + 4 - 4 - 46*a + 90*a + 67*a + (0*a + a - 3*a)*(1 - 3 + 3) + 2*a - 3*a - a)*(-2 - 3 + 3) in the form c + f*a and give f.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2 (b) -0.25 (c) 39 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.1 and -0.25727514.\nAnswer: -0.025727514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 23 + -18. Let v be 5\/75 - 1\/(-3). Let f = -53 - -479\/9. Which is the third smallest value? (a) k (b) v (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the third derivative of 0*f + 0*f**4 - 65*f**2 + 0 - 9\/10*f**5 + 37\/3*f**3. Differentiate r(v) wrt v.\nAnswer: -108*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -598, -2730, -6276, -11236, -17610?\nAnswer: -25398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1070925)\/(-262))\/(-545)*((-13)\/(-11) - 1).\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.4 (b) 191 (c) 1 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 305*o + 129*o - 11117 - 5809. Let g = -7 - -9. Suppose 0 = 3*n + 2*n - g*f - 128, 3*n + 5*f = 83. What is the greatest common divisor of o and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((h\/h**44)\/h)\/h)\/h)\/h**(-5) assuming h is positive.\nAnswer: h**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -2*j. Let g(k) be the third derivative of -51*k**5\/10 + 169*k**2. Determine u(g(d)).\nAnswer: 612*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 120*x**3 - 815*x**2 - 3110*x - 2070. Let r(o) = -7*o**3 + 48*o**2 + 183*o + 122. Let h(y) = -2*n(y) - 35*r(y). Find g, given that h(g) = 0.\nAnswer: -2, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:19 AM and 11:47 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -293906.626 rounded to the nearest 100?\nAnswer: -293900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3232 and 545104?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnnnnnn. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3610314?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:04 PM and 5:45 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -1344, -1303, -1262?\n\"Answer: 41*c - 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 33, 4, 53, -3 in increasing order.\nAnswer: -3, 4, 33, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 248 and 78?\nAnswer: 9672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 - -8 - 7) + -2 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -415 (base 14) in base 10?\nAnswer: -803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = 14 + 30. Suppose -v + 59 = 2*h. Suppose -4*c = -0*c - h. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1129914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 35 - 25. Suppose -3*o + 103 = -5*q - 3, -2*q = o - 39. Calculate the remainder when o is divided by (-21)\/(-2) + (-5)\/x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -789 (base 10) to base 2.\nAnswer: -1100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3320.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes before 7:55 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (8\/(-3))\/((-354)\/(-2124)) - (9 + -162)\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 90574 to the power of 1\/2, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 3, l: 2, a: 6, h: 1}. Give prob of sequence hd.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -2*c**2 + 36*c + 180. Determine l(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the first derivative of -13*q**5\/5 + 49*q**3\/3 - 4681*q - 801. Differentiate l(a) with respect to a.\nAnswer: -52*a**3 + 98*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 148473.5 litres?\nAnswer: 148473500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2254*v + 21 = -3*z + 2251*v, 5*v = 4*z + 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -80\/8379 and 9\/931.\nAnswer: 8379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:58 PM and 12:56 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 23 - 16. Let a be 56\/16*24\/s. Suppose -o = o - a. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-48)\/(-10)*15\/12. Let q(r) = 2*r**2 - 17*r + 14. Let n be q(u). Which is the second biggest value? (a) n (b) 5 (c) 3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t**(-3\/8)\/t))**(-3\/5)\/(((t\/(t\/(t\/t**(1\/10)))*t)\/t)\/(t*t*t**(-3))) assuming t is positive.\nAnswer: t**(-133\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qq when two letters picked without replacement from {m: 4, q: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-10)\/35 - 23\/(-7). Suppose -s - g*s = -12. Let x = 1.1 + -1. Which is the closest to x? (a) -4 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -721*x + 159*x + 143*x + 170*x + 151*x + 140*x.\nAnswer: 42*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ilf when three letters picked without replacement from {i: 1, f: 2, l: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 110, 150, 214, 320, 486, 730, 1070, 1524?\nAnswer: 2110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -2 + sqrt(1584) + sqrt(1584))**2 - (sqrt(132)*-1*2)\/sqrt(3).\nAnswer: -332*sqrt(11) + 6385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-2\/7))**(-15))**3\/(f**(-2\/13)*f\/f**(-6))**32 assuming f is positive.\nAnswer: f**(-18766\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -249 greater than -251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (250\/30)\/(2575\/1854).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 588\/(-63) - (-3 - 3)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 8 and 782?\nAnswer: 3128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) be the second derivative of -213*i**3\/2 + 1223*i**2\/2 + 205*i. Find the first derivative of r(n) wrt n.\nAnswer: -639","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2231 = -25*w + 2131 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 64 and 19888?\nAnswer: 79552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 3 + 2 = 0, o + 9 = 2*b. Suppose -b*i = -k - 32 + 7, i - 5*k = 29. Solve x + 0*x + 5*v + i = 0, 6 = x - 5*v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**8*u**17 assuming u is positive.\nAnswer: u**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l**2 + 6*l - 7. Let y be v(5). Let o = -6.233 + 0.133. Let i = o - -6. Which is the closest to 0? (a) 4 (b) y (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4152 at most 4147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -5697, -11402, -17109, -22818?\n\"Answer: -k**2 - 5702*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.05 - -0.06. Let z = -0.31 + m. Which is the second smallest value? (a) z (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.05 in -5, 0.5, -8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = -0*n - 2*n - 3*y, -y + 25 = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -56823 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify b\/b**41*b**(1\/14)*b*b*b\/b**14*b*b*b\/b**(-20) assuming b is positive.\nAnswer: b**(-391\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 1218*n + 30 = 604*n + 618*n + 2*x, -2*x + 35 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 154*b - 12*b**3 + 312*b**2 - 56*b**2 + 22*b.\nAnswer: -4*b*(b - 22)*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 38 and 485896671?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z**3 - 8*z**2 + 20*z + 45. Calculate the remainder when m(-11) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3.1201 - 0.1201. Which is the second smallest value? (a) 2\/7 (b) 19 (c) 2 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*d - 5*m + 10 - 4, 4*m = 4*d. Let r be (-1 + 7)*9\/27. Suppose 0 = -d*t + 2, s - 3449998 = 6*s + r*t. Round s to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 3, p: 11}. What is prob of sequence eppp?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nassnqnnsqqnrrnss. Give prob of sequence asa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 11828.54 litres in millilitres?\nAnswer: 11828540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -18 and -76.07.\nAnswer: 1369.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-16)*y**11)\/(((y*(y*y**(-2\/3)\/y*y)\/y)\/y)\/y)**(1\/18))**17 assuming y is positive.\nAnswer: y**(-4505\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -3\/7 (c) 2 (d) -164329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is (5410\/(-40))\/(3\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 107667228 at least as big as 107667218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 76625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -1378, -7029, -12680, -18331, -23982?\n\"Answer: -5651*i + 4273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 49.21732ml to litres.\nAnswer: 0.04921732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (3\/2)\/(-4 - (-2169)\/542)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.2302747kg to nanograms.\nAnswer: 230274700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -f**3 - f**2 + f + 1. Let l(a) = a**3 + 4*a**2 - 2*a. Let b(u) = 2*h(u) + l(u). Let s = 5272 + -5269. Determine b(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 456 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -177264*n - 1772644. Determine r(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 137178.3ml?\nAnswer: 137.1783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 9 - -43. Suppose -31 = 5*z - 6. Let t = 18 + z. What is the highest common factor of k and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 + (-4 - (-7 + 8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1 - 4. Let f = 0.4 - 0. Let m = -184 - -183.7. What is the biggest value in m, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the second derivative of 5*w**4\/2 + 34*w**2 - w - 1. Find the first derivative of f(r) wrt r.\nAnswer: 60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 80933426641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/((-49)\/14))\/((-4)\/(-56))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of -17 and -206634.4.\nAnswer: 3512784.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -39, 97, 233, 369?\n\"Answer: 136*w - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 151 - 118. Let p = f + -33.5. Which is the third biggest value? (a) -1.7 (b) -3 (c) p (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 10*y - 135 = 0. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 40\/16*(-12)\/(-50). Factor p*k**3 + 0 + 1\/5*k**5 + 0*k + 3\/5*k**4 + 1\/5*k**2.\nAnswer: k**2*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5110 + 5439. Solve 31*d = -16*d - q for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7\/23 - 109\/207. What is the nearest to -0.3 in 1\/8, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-45)\/10*6*64\/(-216)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 3*o**2 - 4*o + 5. Let h be p(2). Calculate the highest common divisor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 2599400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 496 and 784.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 56*p**3 + 15*p - 15. What is the remainder when 192 is divided by d(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4375 is divided by 59.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*j + 13*j + 3*z = -45, 0 = -5*j + 2*z + 129. What is the remainder when (7\/(-1))\/(1\/(-19)) is divided by j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 83 and 69.\nAnswer: 5727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 371 minutes before 6:44 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = -b + 5*o + 16, 0 = 5*o + 20. Calculate the remainder when 7 is divided by (b - -10)*2\/8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = x**2 - 15*x + 8. What are the prime factors of y(16)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 107671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*z**4 - 5677354*z**3 + 15139574*z**2 - 5677334*z - 3784892 = 0.\nAnswer: -1\/3, 1, 2, 946223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.01 and 136389.394.\nAnswer: 136389.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -4 plus 6823?\nAnswer: 6819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 799891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13130549?\nAnswer: 13130549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = -23 - -22. Let s = -58 + 57.67. Let g = -0.43 - s. Which is the closest to g? (a) v (b) 4 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -n**3 + n**2 + 4*n + 77. What are the prime factors of y(0)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 2*m**3 + 4*m**2 - m. Let z be 19\/3 + (-21)\/63. Suppose -4*k = z - 2. Let g(n) = n**3 + n**2 - n. What is k*t(q) + g(q)?\nAnswer: -q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4\/53 (b) 2\/3 (c) 2 (d) 3\/16 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1397769513 a multiple of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21 + -9 - -5 - 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -565, -741, -917, -1093?\nAnswer: -1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/9, -0.44, 3, 0.07, -0.3.\nAnswer: -0.44, -0.3, -2\/9, 0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 25249 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is o in 592\/3*o**3 + 0 + 0*o - 14\/3*o**4 - 56*o**2 = 0?\nAnswer: 0, 2\/7, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve b = -5*x - 2*b + 11, -5*x + 17 = b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + ((sqrt(153) - (((1 + 3*sqrt(153))**2 - sqrt(153)) + sqrt(153))) + sqrt(153) - (0 + sqrt(153) + -4)).\nAnswer: -1375 - 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*w**4 + 5*w**4 - w**4 + (-5 + 4*w + 5)*(-2*w**3 + 4*w**3 - 4*w**3).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (8 - 3) + (-21 - -8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -360378*m*r**2 - 3*m*r*y + 2*m*r - 2669039*m*y**2 - 16*r**2*y**2 wrt r?\nAnswer: -720756*m - 32*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, a: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 136804?\nAnswer: 2, 23, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -39*z + 38. Calculate o(-7).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 14689 = -814*k - 1591 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-192)\/20*(-2840)\/59072.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-8)\/6*-1*15\/(-5). Let p = 6 + -7. Let z be p\/(-6) - (-116)\/24. Put s, 2, -2, z in decreasing order.\nAnswer: z, 2, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + 2 + -4 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 3 (b) -1\/8 (c) -1\/3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/190 and -103\/50.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -429*s + 382*s = 987 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 149771396?\nAnswer: 2, 37442849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 398670000 to the nearest one million.\nAnswer: 399000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 64*y - 69*y = 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -15 - -58. Suppose o = -6*b + 295. What is the lowest common multiple of 22 and b?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -91\/202730 and -7\/2230030.\nAnswer: 2230030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = -4*w - 298. Let f = -69 - w. Solve 5*p + f*p = 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 7 - 17 = 0. Let q = -10 - k. Solve 0 = q*z + 10 - 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dhurruhdruhyhu. Give prob of picking 2 h and 1 d.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of 18568576 and 0.5.\nAnswer: 9284288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 141 = -k + 3*c, k - 36 = c. Let t = 5 + k. Suppose z = 3*z - t. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.4 - -0.8. Let g = r - 0.524. Let f = g + 0.11. Round f to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 2*j = -6, 31 = -3*z + 2*j + 27. Sort -1, z, 22, 0, -5 in descending order.\nAnswer: 22, 0, -1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 200 + 101?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.64121 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 114507037?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -7*s. Let a be k(-3). Suppose a = 3*p - r - 22, 4*p = -r + 48. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(-16)\/(o*o**(2\/31)\/o) assuming o is positive.\nAnswer: o**(-498\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((u**44)**(-1))**(-24))**(-27))**(28\/5) assuming u is positive.\nAnswer: u**(-798336\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 44 divide 1217217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 9 and (-1*14)\/2*-1.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 51717923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 8, j: 1, z: 1, d: 2, r: 1, p: 2}. What is prob of picking 3 c?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -3, -4, -25.\nAnswer: -25, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve k + 4 = -2*m, 4*k + 5*m + 9 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w*w*(w**10\/w)\/w)**(-17))**9)**(5\/6) assuming w is positive.\nAnswer: w**(-1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -7*l**2 - 2 - l**2 + l**3 + l + 0*l + 3*l**2. Let f be q(5). Let u(t) = 5*t**2 + 4*t - 4. Let d be u(1). Solve -i - 1 = 0, h + f*i + d = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s - 73 = -a, 9926 = -5*a + 3*s + 9877 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 673102 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from euqsjsc. Give prob of picking 1 j and 2 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 743234 - -31?\nAnswer: 743265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrrbrbbkbbrbrbb. What is prob of picking 2 b and 2 r?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1623*10\/15*2. Suppose -4*m = -0*m - q. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 20 - 1020?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6 + (-6)\/(-9)*-3. Suppose -3*q = -3*r, -3*q - 2*r + 2 = -b*r. Differentiate 15*k + q*k**2 - 15*k + 2 with respect to k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v**3 + 3264*v**2 + 665856*v = 0. Calculate v.\nAnswer: -408, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 3 = -1. Let n be s\/3 - 30\/9. Let b = 16 + n. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2 + -1. Let f(p) = 9*p**2 + p**2 + p**2 - a. Is 5 a factor of f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 657\/112832 or 1?\nAnswer: 657\/112832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3118 = 89*n - 101463. Calculate the highest common factor of 130 and n.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.15 and -0.519566.\nAnswer: -0.369566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 5*v**2 - 13*v - 12. Calculate the remainder when o(-10) is divided by 171.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/16)\/(((-2)\/(-70))\/(104\/260))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -19*m**2. Let r(t) = -5*t**2. Give b(r(a)).\nAnswer: -475*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -5\/42 and -49\/27.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor j**2\/4 - 18693*j\/4.\nAnswer: j*(j - 18693)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 15121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3992064, 3992070, 3992088, 3992124, 3992184, 3992274?\nAnswer: 3992400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (33*z - 3567 + 23*z + 3567)*(3 + 4*z - 3).\nAnswer: 224*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 5*m - 85 = 0, v - 4*m + 32 = 2*v. What is the lowest common multiple of 8 and (1 - 14\/v)*5*4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 4*c + 2185 = 0. Suppose -4*b - 3 = -2*t - c, 545 = 5*b - 3*t. Suppose 6*q + b = 4*q. Round q to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -10736 + 3?\nAnswer: -10733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7577692.\nAnswer: 2, 73, 25951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be 14\/35 - 67202\/5. Let p = 18901 + k. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: ((8 - 26) + 6)*8\/(-12) - -21\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 29*y + 16*y - 48*y. Let g(q) = 3*q. What is 5*g(c) + 4*k(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**2 - 13*j.\nAnswer: -j*(j + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -242, -546, -1054, -1766, -2682?\n\"Answer: -102*o**2 + 2*o - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = -2*r - 6. Suppose 2*b + 4*f = -10, 7*b - 6*b - 3*f - 5 = 0. Sort r, 4, b in descending order.\nAnswer: 4, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8098, -7954, -7714, -7378, -6946, -6418?\nAnswer: -5794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 175 minutes before 7:33 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 57\/37090 and 65\/8.\nAnswer: 148360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -2*l + 4. Let u(w) = 4*w + 1. Calculate m(i) - u(i).\nAnswer: -6*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -4, -19, 239, -5 in descending order.\nAnswer: 239, 2, -4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -64*-9232\nAnswer: 590848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, n: 3}. What is prob of picking 1 n and 1 f?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 3*t**3 + 2*t**2 - 2*t - 2. Let r(m) = m**3 + m**2 - m - 1. Let h be (5\/5)\/((-2)\/1 + 1). Give h*v(j) + 2*r(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((q*q**(-1\/2))\/q)**(5\/11)*(q*q\/q**(-1)*q)\/q**2)**(-3))**(-6) assuming q is positive.\nAnswer: q**(351\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:30 PM and 7:12 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**2 - 5*l - 2. Let g be z(6). Let w(o) = 2*o**3 - 15*o**2 + 5*o + 20. Let u be w(7). Let t be (u\/g)\/((-6)\/(-16)). Solve 0 = y + y - t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.09 times -584485\nAnswer: 52603.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 127*k**2 + 14*k + 17. Let p(c) = 42*c**2 + 5*c + 6. Determine 6*j(m) - 17*p(m).\nAnswer: 48*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 5*p**3 + 67*p**2 - 8*p + 2. Let u(s) = s**3 - 2*s**2 - 2*s. Calculate -a(c) + 3*u(c).\nAnswer: -2*c**3 - 73*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-187*f - 180*f + 718*f - 43*f)*(3 - 3 - f**2).\nAnswer: -308*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = h**3 - 7*h**2 + h - 5. Let o be p(7). Suppose -3*w = w. Suppose 11*u - 14*u - 12 = w. Put -1\/2, u, o in decreasing order.\nAnswer: o, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 64799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = 99 + -94. Solve -2*z = s + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 8*q - 55 = 0. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1679577.\nAnswer: 3, 559859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -164106 divided by -1013?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1260)\/2310)\/((-21)\/1309)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -7332761 divided by 7583?\nAnswer: -967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d - 17 = -5*w, 4*d + w + 33 - 18 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -20130203 (base 4) to base 6.\nAnswer: -424055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(2\/21)*s\/(s\/((s**(-19)\/s)\/s*s))*s)\/(s\/(s\/s**9))**(-32) assuming s is positive.\nAnswer: s**(5651\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 10) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 15\/25*-1*14\/(-21)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be (64\/(-90))\/(-2) + (-20)\/90. Let z(t) = t**3 + 10*t**2 - 11*t - 2. Let k be z(-11). Which is the second smallest value? (a) w (b) k (c) 1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(1\/3))**6)**19\/(r**1*r**(-6)*r\/(r*r**(-1\/2)*r)*r**(-1)) assuming r is positive.\nAnswer: r**(89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 130003 + -1?\nAnswer: 130002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 20647340\/19 + -1086702. Let 16\/19 - l*a**2 + 4\/19*a = 0. What is a?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 43091?\nAnswer: 41, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 48\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 3*t - 1 = -2, 0 = 2*k - t - 7. Suppose -u + 375 = 380. Put u, 4, k, -12 in ascending order.\nAnswer: -12, u, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -35190 divided by -5865\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = 13692 - 13675. Let r = 636 + -245. What is the greatest common factor of h and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of (-15 - -16) + 5*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(24)\/(sqrt(12)*-4) - sqrt(12)\/sqrt(486))**2.\nAnswer: 169\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -2*i + 154. Calculate v(69).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1719, 1715, 1711?\nAnswer: 1707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c**(2\/3)*c**(-1\/2))\/(c**1)**(-43))\/((((c\/(c\/(c\/((c*c\/c**1)\/c))))\/c)\/c*c)**(-3\/7))**(1\/13) assuming c is positive.\nAnswer: c**(265\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 949199 is divided by 496?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*v + 2*v + 20. Let h = v - 4. Let m(r) = -r - h - 4 - 6. Determine m(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 6 (b) -139 (c) 5 (d) 1\/4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) be the second derivative of 0*v**2 + 2*v + 1\/8*v**4 + 0 - 3\/40*v**5 + 1\/60*v**6 - 1\/12*v**3. Factor d(x).\nAnswer: x*(x - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -27 - -29. Suppose 0 = 18*p - 17*p - g. What is the third derivative of -15*j**2 + 8*j**2 - p*j**5 + 16*j**2 wrt j?\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2 (b) 5 (c) 5.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 10 + -22 + 10 + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -33, 55, 205, 417, 691?\n\"Answer: 31*o**2 - 5*o - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 4755*s + 113535. Determine r(-24).\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-176)\/66)\/(2\/(-6)) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a decade in months?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*p**3 + p**3 - 8*p**3.\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -3*u + 43. Let f be q(17). Let y(s) = s**3 + 9*s**2 + 8*s + 6. Determine y(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3130452 and 1872.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -604*g - 214 + 937 - 360 - 363.\nAnswer: -604*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -7*g**2 - 4*g - 7. Let a(n) = -4*n**2 - 2*n - 4. Determine 5*a(f) - 3*v(f).\nAnswer: f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 13 = y + 21, 4*y = -u - 157. Let q be 43\/4 + y\/52. Calculate the highest common divisor of 30 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a - 6, -7*a = 3*r - 4*a - 141. What is the highest common factor of 20 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 325.3477 litres?\nAnswer: 325347.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/4, -2\/5, -26 in decreasing order.\nAnswer: -1\/4, -2\/5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15024 is divided by 1905?\nAnswer: 1689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -d**3 - 8*d**2 - d - 1 + 0*d**3 - 5. Let u be q(-8). Sort -4, u, -2.\nAnswer: -4, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-1 + sqrt(48))**2.\nAnswer: -245 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.99104 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 13720.76 micrometers in millimeters?\nAnswer: 13.72076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 9 + -5. Let k(i) be the third derivative of 2*i**2 - 1\/80*i**5 + 1\/32*i**c + 0*i + 1\/480*i**6 - 1\/24*i**3 + 0. Factor k(w).\nAnswer: (w - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -104b - 13?\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2195?\nAnswer: 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a be -4*(-3)\/((-36)\/(-15)). Suppose 5 - 35 = -a*l. Let c = 18 - l. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in z + 23 - 23 + 511627*z**2 - 511687*z**2.\nAnswer: -60*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48*h - 108 = -84*h. Solve 0 = 5*p - s - 13 - 0, 18 = h*p - 4*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-122)\/(-4)*(-240)\/8. Let k = -894 - -2444. Let w = r + k. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4363, -4386, -4427, -4498, -4611, -4778, -5011, -5322?\nAnswer: -5723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be (1\/1)\/((-2)\/120). Let j be 13 + (-2)\/10*u\/12. Let p be (1\/3)\/(j\/84). Solve -3 - 7 = -2*n, -35 = -p*v - 5*n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1100011 + -101?\nAnswer: 1011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is ((-357)\/119 - 49\/(-15))*5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10240276483 - 4.6302.\nAnswer: -10240276487.6302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 + 1064?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -u**3 + 5*u**2 - 13. What is b(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.135 + 0.635. Let i = -0.8 + -0.2. Let w = i + -4. Sort w, f, -4\/7.\nAnswer: w, -4\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1498 and 247219862.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 2 * 0.095308\nAnswer: 0.190616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 2 t when three letters picked without replacement from {v: 4, e: 3, m: 6, r: 1, t: 2}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -1006000 by -1000.\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 8 - (0 - ((-14 - 36) + 25))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:57 AM and 3:14 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-58 - -16 - -67) + 23.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/1)\/(3\/(78\/65))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -9*y + 38. Let h = -628 - -634. Let v(x) = 5*x - 20. Let l(b) = h*f(b) + 11*v(b). Let q(n) = n + 9. Calculate -6*l(i) + 5*q(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(5) - sqrt(25)\/sqrt(5)) - 3*(sqrt(5) - (sqrt(5) + sqrt(15)\/sqrt(3))).\nAnswer: 5 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6 and 81471777.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3084 is divided by 118?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -100022011 + -221000202?\nAnswer: -1021022220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1727 - 1753 = -8*c. Suppose c = 5*d - 2*d. List the prime factors of d.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 327 + -475. Calculate the common denominator of 97\/6 and o\/96 + 4\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-4))\/((-28*10\/(-16320))\/((-861)\/(-369))).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of 10.9 and 0.07151.\nAnswer: 0.779459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*k - 70 - 70 = 0. Suppose 3*s - k*o = -6, 3*s - o = -2*o + 12. Solve 4*f - 1 = -3*q - 16, s*q - 2*f + 15 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 20001002 (base 3) to base 16\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -18\/17 and (-2199)\/(-1026) - -2*(-3)\/27.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j**3 - 42*j**2 - 2*j - 79. Let t be p(-42). Solve t*u + i = -18, 2*i - 6 = 3*u + u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = j**3 + 9*j**2 - 6. Let w be y(-9). Let d = w + -4. Let i = 21 - d. List the prime factors of i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**2 - b. Let t(n) = 4*n**3 - 2*n**2 + 2*n. Suppose 8*i + 0 = -8. Determine i*t(k) - 2*u(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.17092334698 to six dps.\nAnswer: 0.170923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 37*-280473.\nAnswer: -10377501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -27\/13790 and 1\/936341.\nAnswer: 9363410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 6, o: 4, f: 2, t: 1}. What is prob of sequence togt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 536*d**2 + 973*d**2 + 291*d**2 + 569*d**2.\nAnswer: 2369*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 22 - (4 + -4 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r**2 - 2547*r - 1196048. Give t(-621).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 134 - 109. Let j = g - -101. Let v = j - 124. What is the third biggest value in -0.2, v, 2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -12*r**5 - 4892*r**4 + 1227488*r**3 + 5801696*r**2 + 8321344*r + 3333696 = 0.\nAnswer: -582, -2, -2\/3, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -37*m**2 + 57*m**2 + 3 + 41*m**2 + 27*m**2 to the form n*m + t*m**2 + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 56 and 15664?\nAnswer: 109648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.154 and 227025.\nAnswer: 227024.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are 8\/7 and 16\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 40343*l**3 - 9*l**2 + 2*l + 57 wrt l.\nAnswer: 242058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.8 + -1.1. Let d be 3\/(-10)*28\/(-63)*3. Suppose -26 = -g + 5*i, -32 = 2*g + 4*i - 14. Put a, d, g in ascending order.\nAnswer: d, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -53 - -58. Suppose g + 3*g = 4*f, i*g + 4*f = 0. Suppose -s - 3*a - a = -4, -2*s + 2*a + 28 = g. What is the highest common factor of s and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 3*n + 8. Suppose -35*f + 130 = -535. Suppose z + 2*z + f = -r, 27 = -5*z + 3*r. Give w(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.1 - -4.1. Let g be 2\/8*2*6. Which is the closest to 0.1? (a) r (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25165470 is divided by 1014?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 32.975859 days to weeks.\nAnswer: 4.710837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1892)\/(-132))\/(-43)*(-151 + 6\/(-3))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2320 - -2?\nAnswer: -231c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 678 minutes after 6:16 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = 3*k - 306, 5*k = 3*d - 0*d + 534. List the prime factors of k.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o\/(o*o*o*o*o\/o**(3\/4)*o*o))\/o)\/(o\/(o**9\/o)*o))**8\/((o\/(o\/o**(1\/3)*o))\/(o\/o**8))**(-8\/9) assuming o is positive.\nAnswer: o**(98\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 19163316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-2)\/5 + (-1332)\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 2, f: 2}. Give prob of sequence iii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (75*p**4 - 16198*p + 16198*p + (0*p + 4*p - 2*p)*(-2*p**3 + 0*p**3 + 3*p**3) + 2*p**3 + p**4 - 2*p**3 + 4*p - 4*p + 2*p**4)*(3 - 3 + 1).\nAnswer: 80*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -2015*y + 6486. What are the prime factors of c(-41)?\nAnswer: 89101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 7, -1, 0.8 in decreasing order.\nAnswer: 7, 6, 0.8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (9\/(-12))\/((-42)\/32 + 0)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 2*a = 14. Let h(u) = -8*u + 16. Let n be h(a). Suppose t = 3*t - n. Is 36 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -131138 + 131200.3992. Let v = i + 0.0008. Let f = 62.3999307 - v. What is f rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.1 - -0.1. What is the smallest value in 25, a, 1, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 265905 and 95130?\nAnswer: 562123170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 26 (b) -39 (c) -1\/18523\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1972*o - 8279 = 9469 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p be -1*(7 + -3 + -7). Determine s so that -4*s - 19*s**p + 41*s**3 - 2 - 18*s**3 + 2*s**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44853 divided by -14951?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/(-3)*39\/52. What is the closest to v in 3, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the first derivative of -s**3\/3 + 17*s**2\/2 - 9*s + 1314. Determine u(18).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 683 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-s**2 - 2*s**2 + 4*s**2 + (s - s**2 - s)*(-5 + 3 + 3) - 23*s + 9*s**2 + 23*s)*(331*s**2 - 408*s + 408*s).\nAnswer: 2979*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -16 + 0 - (468 + -508)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -3*y**3 + 12*y**2 - 15*y + 2. What is f(4)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -11, -2.4, -2, 1.74?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 8694 = 2818*q - 2197*q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in -0.0305, -0.01589, -2\/3?\nAnswer: -0.01589","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 100401 and 47810.\nAnswer: 1004010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -35*a**2 + 63 + 69 + a**4 + 35*a - 134 wrt a?\nAnswer: 12*a**2 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-16005)\/(-388))\/(105\/(-140))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 3, c: 3}. What is prob of sequence qqcq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 37 + 212 + -229 + -1 + 66?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 10\/4*6*(-2)\/60\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 3, t: 5, e: 8}. Give prob of picking 1 e, 1 t, and 2 n.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 2 = -30. Let u = 0 + 2. Let b = u + s. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g**5 - 684*g**4 - 11468*g**3 + 12844*g**2 + 11472*g - 12160 = 0. What is g?\nAnswer: -152, -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -29 + 6. Suppose 3*g - h + 8 = 0. Suppose 4*t + 5*n - 197 = -0*t, -15 = g*n. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 276670597 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3830987 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sum -4940 and 1223.\nAnswer: -3717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 0*f = f + 6, -3*f = 0. Let n(c) = -c**3 - 22*c**2 - 18*c + 67. Let g = 62 + -83. Let k be n(g). Is v not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1235203795?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -1\/208404657?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2924 - 2894. What is the lowest common multiple of 30 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4 - -42. Let c be (-1)\/(-5) - k\/(-10). Let s = -2 + c. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 332 divide 710060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (18\/(-162))\/((-32)\/168*(-14)\/(-3)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*b + 16*b - 8528 = 0. What is the least common multiple of 205 and b?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -61 - 73234?\nAnswer: -73315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3\/4 or -98930?\nAnswer: -98930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 22770 = -119190*o + 119685*o for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 2*s - 9. Suppose -615 = -3*m + 3*z, -94 + 502 = s*m - z. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 84*p. Let a be r(2). Suppose -5*f - 2*l + 3*l + 102 = 0, -4*l + 96 = 4*f. Calculate the greatest common divisor of a and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*z**3 + 1314*z**2 + 1036*z - 3144.\nAnswer: (z + 2)*(z + 262)*(5*z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**3 + 6*p**2 - 10*p - 16. Let j be i(-7). Let g be -10 - (-1 - (-2 - 0)). Let c = 15 + g. Put j, -3, c in ascending order.\nAnswer: -3, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (27\/(-8))\/3*1535\/4605?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 4508*y + 31613. What is n(-7)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 984 divided by -6.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 179423 and 476412.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 9 + -6. Let z = -686025 + 686027.999908. Let o = z - g. Round o to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 4*x**2. Let w(r) = 96378*r. Calculate d(w(i)).\nAnswer: 37154875536*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 26 (base 13) to base 6.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 68\/105 + 2\/105. What is the nearest to 0.1 in -2, s, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.0055 * 4\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 733 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3157*k - 12947*k**3 + 23331*k**3 + k**2 + 1412*k - 13011*k**3 wrt k.\nAnswer: -15762*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -11? (a) -5\/2 (b) 1\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((sqrt(42)\/sqrt(7))\/sqrt(2) + (sqrt(3) - sqrt(27)\/(-1*sqrt(9)))).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -7*z**2 + 24*z - 2. Let m(k) = 6*k**2 - 23*k + 3. Let y(c) = -4*m(c) - 3*u(c). Calculate the least common multiple of 9 and y(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 3104, -1356, -13388, -32992, -60168, -94916?\n\"Answer: -3786*d**2 + 6898*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -x**3 + 29*x**2 + 208*x - 15. Determine m(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 115 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 17814544 divided by -16?\nAnswer: -1113409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 84 - 7*d**3 + 5*d**3 - 14*d**3 - 4*d**3.\nAnswer: -20*d**3 + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 112 - 108. Suppose w*v = 5*d + 25, -4*v + 3*d = 7*d - 52. Suppose -v*k = -2*k. Solve k + 5 = 5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*t - 5*t - 3*t + 0*t to s + f*t and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 196a6c (base 15) to base 11.\nAnswer: 775913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:30 AM and 11:39 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 260 minutes before 9:19 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: ((-24)\/4040)\/(26\/(5070\/(-39)))\nAnswer: 3\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -4646*y + 450657. Determine p(97).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 2223987920 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 152671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = -53 + 53.39. Let s = w + 0.42. Let p = s + 0.19. What is the second biggest value in 3, 0.11, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 115*r - 871. List the prime factors of q(54).\nAnswer: 19, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*f**3 + 4970*f**2 - 3061600*f.\nAnswer: 5*f*(f - 430)*(f + 1424)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3.83 + -1.15. Let s = -0.98 - c. What is the third biggest value in -1, s, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8240851469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out -129982 * 0.2.\nAnswer: -25996.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the first derivative of -b**2\/2 + 1. Let j(w) be the third derivative of w**4\/8 + 2*w**2 - 79. Give j(h(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 158011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -z**2 - 1079*z - 18990. Determine y(-18).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*y**5\/3 - 114*y**4 + 2989*y**3\/3 - 878*y**2\/3 - 17068*y - 69160\/3 = 0.\nAnswer: -2, 10, 133\/11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -962*k + 964*k = 5*t, 5*t = -5*k. Let p(c) be the first derivative of -7\/4*c**4 - 1\/2*c**2 + k*c**3 + 7 + 0*c. Find the second derivative of p(i) wrt i.\nAnswer: -42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 146220 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7*0.51808.\nAnswer: -3.62656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 0 times -121.22\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(4\/3)*w)**(-19) assuming w is positive.\nAnswer: w**(-133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -a**2. Let y(g) be the second derivative of 0 + 2*g + 0*g**3 + 0*g**2 + 1\/6*g**4. Give y(m(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 1 + (14 - (-14 - -27))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 210681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1278 + -1278.5. Let m be 27\/2 + (-2)\/4. What is the nearest to m in -1, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 149, 33608, -5.\nAnswer: -5, -2, 149, 33608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -170116 (base 9) in base 12?\nAnswer: -50980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 17514380 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 300*w + 180*w - 4469 - 331 = 0 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1 * -25496.\nAnswer: -2549.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 574743611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.8 and -10322090.\nAnswer: -10322089.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:21 PM and 6:15 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(1300) - -1*sqrt(1300)) + sqrt(117)\/sqrt(36) + (sqrt(52)\/sqrt(4))**2 + -2.\nAnswer: 11 + 161*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -23 + -104. Let z = b + 12. Calculate the remainder when 89 is divided by (z\/10)\/((-2)\/4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8056227 is divided by 136?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 8341, 33365, 75071, 133459, 208529?\n\"Answer: 8341*y**2 + y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 4 = -5*l. Let z be 4*1 - (2 - 1). Suppose -7 - z = -l*v. Solve -a = -2*a + 3*q - 13, 0 = -v*a + 3*q - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 49\/160 and -89\/140.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is c9a - 6?\nAnswer: c94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = 191 + -176. Let p = -0.6 - -45.6. Let s = p + -45. Which is the nearest to s? (a) -1\/4 (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -13983.8 to the nearest one hundred.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -44 + 27 = -17*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 1 - 4 + (3 + 0 - 4)*(23 + 29 - 6))*(-5*l + 3*l + 4*l) in the form m*l + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0 + -4 + 9 + -2. Solve 9*r - 6*r = -n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -5, 6, 17?\n\"Answer: 11*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 160295, 643723, 1449429, 2577407, 4027651, 5800155, 7894913?\n\"Answer: -i**3 + 161145*i**2 - 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**3 - 29*x**2 - 31*x + 56. Calculate the remainder when 63 is divided by z(30).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 46 + -85. Let y = -19 - q. Suppose 4*u = 8 + y. What is the remainder when 18 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r**2 + r - 3. Give y(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 60.9999968 - 61. Round m to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence beu when three letters picked without replacement from {e: 1, h: 2, b: 1, u: 1, z: 1, w: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -25 - -25. Suppose j = 3*l - 8*l. Suppose -3*v - 3*t = -0*v, -v + 5*t + 18 = l. Solve 2*k - 3*w - 15 = 0, 2*k + w = -0*w + v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 97 + 14*f**2 - 97 + (2 - 2 - 3*f)*(0 - 2*f + 0) + 4 - 4 + f**2 + 0*f**2 - 94*f**2 + 8*f**2 + (-4 - f**2 + 4)*(-1 + 0 - 1).\nAnswer: -63*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor m**3\/5 - 2403*m**2\/5 - 26544*m\/5 - 4828.\nAnswer: (m - 2414)*(m + 1)*(m + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3 - -7. Let s be (44\/(-12))\/(1\/(-18)). Suppose -s = -x*j - 14. Calculate the remainder when 24 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -2798, -2797, -2796, -2795, -2794?\n\"Answer: x - 2799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 3 times 0.3286\nAnswer: 0.9858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -26 + 80. Suppose -4*s = d + 30 - 75, -5*s + u = 2*d. Solve -b = 2*b - s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - -3 - (-7 - -26)) + 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 50, 47, 44, 41, 38?\n\"Answer: -3*q + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) be the first derivative of -145*o**4\/2 - o**2\/2 - 1783*o - 1272. Differentiate l(j) with respect to j.\nAnswer: -870*j**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*n - 0*n + 24. Is 16 a factor of (n - 7) + 47 + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (40\/(-22) + 2)\/(1736\/2387). Let p = 1 - -3. Which is the nearest to 2? (a) p (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 72 and 5304.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3 - 2.5. Let f = 1\/46 - -21\/92. Let u = 0.3 + -0.1. What is the nearest to f in -5\/4, u, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6321743179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*g + 2*g - 5*g)*(2 - 2 - 2 + (2 + 5 - 6)*(-14 - 12 - 103)).\nAnswer: 393*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from oyoooooooooosoyoo. What is prob of picking 3 o and 1 s?\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3833 + -7 - -7 - -18 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 5*h - 18. Let p be -2 - (4*1 - 1). Suppose 2*c + 2*c - 16 = 0. Sort c, h, p in increasing order.\nAnswer: p, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 13.8392? (a) 3\/2 (b) -27 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -11001 by -1.\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5197858 kilograms to milligrams.\nAnswer: 519785.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1\/7 + 13\/42. Let v(z) be the first derivative of -1\/4*z**4 + n*z**3 + 0*z + 1\/4*z**2 - 2. Factor v(c).\nAnswer: -c*(c - 1)*(2*c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + ((sqrt(75) + (-1*(sqrt(75)*4 + sqrt(75)) - sqrt(75)))\/sqrt(5))\/(-3*(sqrt(3) + (sqrt(3)*2 - sqrt(3))*4)).\nAnswer: sqrt(5)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 72704?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fuxu when four letters picked without replacement from uxufujxxxefx?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w + 4*q - 2 + 1, -4*w + 4*q + 8 = 0. Suppose 4*o - 3*o = -2*u + w, 3*u + 6 = -5*o. Put -0.3, 0.3, o in increasing order.\nAnswer: o, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:27 AM and 11:12 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -52.1 + -12.9. Let u = -59 - r. Which is bigger: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 22960 and 1899940?\nAnswer: 7599760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 3205*r - 518. Is q(57) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -48, -158, -328, -546, -800, -1078, -1368, -1658?\nAnswer: -1936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 671946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 27*w**2 + 623*w + 1087. What is r(-21)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 + 1 = -5*q - 4*z, -3*q + 4*z + 1 = 0. Is (q + -7 - -1) + 682 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 22 = 2, -4*c + 76 = o. Suppose 5*f + 4*g - 22 = -0*f, -4*g = 3*f - c. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -1418 - 607 = 81*r for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*k**4\/7 + 2698176*k**3 + 29727313272360*k**2\/7 + 15596345726290533600*k\/7 + 46788769633562104500\/7.\nAnswer: 4*(k + 3)*(k + 1573935)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10550.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1481, -3002, -4597, -6302, -8153, -10186, -12437, -14942?\n\"Answer: -6*l**3 - l**2 - 1476*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q**3 - 19*q**2 - 19*q - 12. Let p be y(-18). Suppose -p*b + 108 + 0 = 0. Calculate the smallest common multiple of b and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 12*v**3*w**4 - 8*v**3 - 8*v**2*w - 14*v**2 + 2*w**4 wrt w.\nAnswer: 48*v**3*w**3 - 8*v**2 + 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is (3\/6)\/((-2)\/(-16)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 27*b**3 + 5*b**2 - 5*b. What is the remainder when 48 is divided by f(1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**3 - 5*k**2 - 3*k - 5. Suppose 2*v = 6 - 2. Suppose -2*y + v = -y. Suppose d = -a - 2, 5*d - y*d - 18 = 3*a. Determine x(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 5*k + 3. Let d(x) = x + 5. Let u(b) = -2*b - 9. Let y(n) = -7*d(n) - 4*u(n). What is -j(v) + 4*y(v)?\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-2)\/172)\/((-6)\/17784). Let b = j + -31483\/1032. Find the common denominator of ((-115)\/35 - -4)\/((-18)\/91) and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.64685 and 21916728.\nAnswer: 21916727.35315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*t**2 - 1272 + 2543 + 7*t**2 + t - 29*t**3 - 1272 to l + h*t + g*t**2 + r*t**3 and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*u + 1260 = 32*u. Let p = u + 601. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1749801 rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 14 + -14. Suppose -k + 0*k = b. Solve k*x = -5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 0.5 (b) -4\/5 (c) 267\/16 (d) -362 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be 12\/10*(-15)\/(-6). Suppose -3*m = 5*p - 14, p + 50 - 63 = -4*m. What is the units digit of -318*(-4 - p\/(j\/(-10)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2348.946 seconds to milliseconds.\nAnswer: 2348946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1822425732, 3644851463, 5467277194, 7289702925, 9112128656?\nAnswer: 10934554387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 200683051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the first derivative of 0*b - 1\/3*b**3 + 0*b**2 + 3. Let g(m) = m**2. Determine g(v(i)).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = -5*x - 95, x = 4*a + 3*x - 102. What is the common denominator of -115\/24 and ((-322)\/a)\/(-24*(-6)\/(-30))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -38 - -38. Let b = 27 + -19. Solve j = 2*g + 2*g + b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -2*f**2 - 4*f - 1. Suppose 3*o + 3 + 6 = -3*x, -3*o = 3. Let m be t(x). Let u = m - -32. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of ((-10676)\/16)\/(5*(-18)\/4680)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 51 - 45. Suppose s*p = 12*p - 7854. What are the prime factors of p?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 407249.687 rounded to the nearest 100?\nAnswer: 407200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 11900002 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s**2 - 711108*s - 126418646916 = 0. Calculate s.\nAnswer: -355554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 35612684689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 23 and 391253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-1*sqrt(448) + 5)*1 - (-3 + -2*(0 + sqrt(448))))*-4)**2.\nAnswer: 2048*sqrt(7) + 8192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 7283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 5\/12342?\nAnswer: 5\/12342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**2\/2 - z\/2 + 1.\nAnswer: -(z - 1)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = 14 + 11. Let w = u + -23. Let a(j) = 21*j**3 - 3*j**2 + 3*j - 3. Is a(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5525 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 6*y = f - 21, 2*y + f - 13 = 0. Suppose 5*p - 3*p + 14 = -3*r, -r = y*p + 8. Put p, -10, -3, 2 in increasing order.\nAnswer: -10, -3, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -10729 smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 23, -2, 7 in decreasing order.\nAnswer: 23, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 10 = 18. Suppose 0*v - b = -7*v. Is v smaller than -4\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**4\/(i*i*i**(-3)*i))\/(i**(-1))**9 assuming i is positive.\nAnswer: i**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -158, -141, -124, -95, -42, 47, 184?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 1442*m - 69285 = 212*m - 474*m + 43179 for m.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -26*r**4 - 22*r**3 + 16*r - 32. Let x(g) = 8*g**4 + 7*g**3 - 5*g + 10. Let b(s) = 5*o(s) + 16*x(s). What is t in b(t) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2*1 + 2)*-1. What is the remainder when -5*((-14)\/5 - u) is divided by (-3 + 1 + 1)*-5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 101110*q**2 - 3*q + 1. Let v be f(-3). What is v rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = s**2. Let t(a) = 5*a**2 - 7*a + 152. Let o(q) = 2*q**2 - 3*q + 76. Let v(g) = -7*o(g) + 3*t(g). Determine v(c(n)).\nAnswer: n**4 - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 441 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5619*k**3 - 3747*k**2 - 2628905*k?\nAnswer: -33714*k - 7494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 76310*k = 76344*k - 42 + 484 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -4*h**3 - 7*h**2 + 23*h + 233. What is z(-8)?\nAnswer: 1649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 228325831.\nAnswer: 19, 12017149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -1 != 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 2*a**2 - 1053*a**3 + 2*a**4 - 109*a - 4*a**2 + 5*a**2 + 1052*a**3 in the form o*a + g*a**3 + l + j*a**2 + q*a**4 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -106650\/377 greater than or equal to -284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 90 - 85. Suppose 0 = 2*t, 2*t + 5 = -p*v - 0. Is 1\/14 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3366*11.1.\nAnswer: 37362.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {b: 7, z: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -d - -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4\/3, -4\/269, -15.8, -3\/19?\nAnswer: -15.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -7*f**3 - 9*f**2 + 15*f + 9. Let p(w) = 3*w**3 + 4*w**2 - 7*w - 4. Suppose 12 - 57 = 5*q. Give q*p(a) - 4*n(a).\nAnswer: a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 3278883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1\/7, 47, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: ((-132)\/121*57\/(-456))\/((-36)\/240)\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is nineteen fifths of a microgram in nanograms?\nAnswer: 3800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 2, m: 1, s: 2}. What is prob of picking 1 s and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1746541369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wm when two letters picked without replacement from {m: 2, w: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/12 + (-12975)\/(-18) + 5. Calculate the greatest common factor of 66 and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = j + 1. Let g(z) = 2*z**2 - 19*z - 2. Let o(n) = -5*f(n) - g(n). Let l = -50 + 56. Let x be o(l). Solve -3*s - x = 3*c, -s - 15 = s + 5*c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 64853294 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 728.96469 rounded to one decimal place?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-36)\/(-8))\/((75\/2250)\/((-2)\/5)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(38)\/(sqrt(400)\/sqrt(8)).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 312766667 to the nearest integer?\nAnswer: 17685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 41\/5, -0.05, -4, -2, 2\/5, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*f = -3*x + 10 - 16, -2*x - 18 = -3*f for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 929\/((-1)\/382*(-9 + 28\/4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 81143 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -255*k - 5471. What is d(-19)?\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -240224 + -243?\nAnswer: -241022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 292429892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-k - 2 + 2)*(-1 + 0 + 3) - k - 4*k + 0*k + k + 1 - 1)*(5 - 2 - 2 + (5 - 2 + 0)*(2 + 3 - 3)).\nAnswer: -42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the first derivative of -3*b**5\/5 - 9*b**4\/2 - 13*b**3 - 18*b**2 - 12*b + 8. Factor p(x).\nAnswer: -3*(x + 1)**2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -2, 90, 182, 274, 366, 458?\n\"Answer: 92*d - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 88\/15 + -26\/5. Let t(m) = -m**3 + 29*m**2 + 32*m - 56. Let a be t(30). Solve 1\/2*y**2 - 1\/6*y**a - 1\/3*y**3 + l*y - 2\/3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the first derivative of -v**3 - v**2\/2 + 168*v + 132. Differentiate x(w) wrt w.\nAnswer: -6*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -4*s - u + 21, 12 = 5*s - 4*u. Suppose -x - 4*q = -15, -82 = -s*x - 3*q + 4. What is the remainder when x is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1386720 and 856?\nAnswer: 1386720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35309942?\nAnswer: 2, 19, 929209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18204.\nAnswer: 2, 3, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 22 - 13. Let h be (-36)\/(-24)*136\/51. Solve -q + 3*q = h*f - 14, 0 = -q - 2*f + b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/15? (a) 5 (b) 0.0244 (c) 871 (d) 0.2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*i + 3*i + 3*i + 4*i - i - i + 4*i - i - i - 2*i + 5*i - i - 1 + 1 + i + (-4 + i + 4)*(-1 + 0 + 2) - 3 + 3 + i + 49 - 49 + 16*i.\nAnswer: 34*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) -1\/4 (b) -2\/7 (c) -0.06 (d) -0.4 (e) -164 (f) 49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.2, -3, 2, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24 - -0.1.\nAnswer: 24.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 976913623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*n - 13 + 9. Solve -t + 11 = 4*b, -2*b = -2*t - n*t - 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 - (2 + -17 + 26).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 + (-11 + (8 - (-11 - -9)) - -55) - 10.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nye when three letters picked without replacement from {l: 1, y: 1, n: 1, i: 1, e: 1, f: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**3 - v**2 + v. Let z be w(0). Suppose p + 3*p = z. Let i(s) = -s**2 + 8*s - 4. Let a be i(7). Solve p = 3*q - 6*q - a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/(-2)*6*3. Suppose -3*o = 3 + 6. Let i be j\/(-33)*-13 + o. Which is the third biggest value? (a) 1\/3 (b) -5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8 - 8. Let z = v - 1. Which is the nearest to -2\/7? (a) z (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -654\/7 + 4889\/56. Calculate the common denominator of 99\/14 and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes after 9:33 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -12565 divided by -2513\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.06305*1346.\nAnswer: -84.8653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 25352545319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k**3 - k**2 + k + 1. Let j be n(-1). What are the prime factors of (6\/(-5))\/(j\/20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - 6) + -1 + -13 - (-10 - -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/9 (b) 1\/3 (c) -0.0601\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -10a5a85 (base 11) in base 6?\nAnswer: -105140201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -66902*l + 83914*l + 92425*l.\nAnswer: 109437*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((7500\/(-288))\/(-25)*60\/75)\/((-20)\/36).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be 15\/(-5) + (-39)\/3. Let q(p) = p**3 + 15*p**2 - 17*p - 14. Let h be q(n). Is 24 a factor of (-6 + 4)*h + 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 330, 336, 340, 342, 342?\n\"Answer: -k**2 + 9*k + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -4*d + 47, d - 13 = -d + 3*f. Suppose 3*x + 24 + d = -4*j, x + 15 = -2*j. Let i(k) = 4*k**2 + 4*k + 7. Let y be i(x). Round y to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -56.869903694 take away -5?\nAnswer: -51.869903694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 12270341?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the third derivative of -a**2 + 0*a**4 + 0*a**3 + 0*a + 2\/15*a**5 + 0. Let b(d) = 2*d. Give b(h(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + (-19 - ((-8 - -13 - 8) + 2 - -8))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 324.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d + 92 = 38. Put -3, -1, d in descending order.\nAnswer: d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2052*b**2 - 2*b + 5801 wrt b?\nAnswer: -4104*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 217 is divided by 86.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 184, -2, 5, 3, -5 in increasing order.\nAnswer: -5, -2, 3, 5, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o be (3 + -2)\/((-1)\/(-3)). Suppose c + 2*w - 201 = 0, 0*w + 198 = c + o*w. Suppose -c + 82 = -5*g. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 56 + -55. Let v(t) = t**2 - 1. Suppose -5*p - 39 + 14 = 0. Let i(l) = 4*l**2 - 2*l - 6. Give p*v(h) + q*i(h).\nAnswer: -h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.5 and -2.68297?\nAnswer: -1.341485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 373 - 260. Let i = -58 + b. Calculate the highest common divisor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 105\/22 and -49\/2231559.\nAnswer: 4463118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert eed6b (base 16) to base 14.\nAnswer: 1b6735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*v = 4*v + 6. Suppose -f = -2*g + v - 21, 35 = 5*f + g. Solve 0 = -a - 3*a - f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1581?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (-2*sqrt(72)\/(sqrt(324) + sqrt(9)))\/((sqrt(448) - -1*sqrt(448))\/sqrt(7)) + 2.\nAnswer: -1 - sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -2*d - 1. Let v be m(-3). Let o = -192 - -207. What is the highest common factor of o and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g, 1 f, and 1 u when three letters picked without replacement from gfvfggvvugggfxvvxgxg.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve z + l - 7 = -2*z, 2*z + 4*l = -2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1249 + -44. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = 5*t + 158, 3*z + 120 = -4*t + 7*z. Let g be 51*2*2\/(-4). Let l = t - g. Solve -3*k + l = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 110359509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = w**2 - 15*w - 2286. Calculate c(-41).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -244*142.\nAnswer: -34648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 10258 = 3*h, -v + 4*h = 5*h - 10252. What are the prime factors of v?\nAnswer: 37, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -16*y + 14*y. Calculate the highest common divisor of 125 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5786657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i be -1 - (-36)\/28 - 14711\/(-329). Solve 48 = q + i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2.76 and -0.1.\nAnswer: -0.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 5*j**2*p**3 + 20080141*j**2 + 34547*p**3 - 569*p**2 wrt j?\nAnswer: 10*j*p**3 + 40160282*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-20)\/2*18\/45 - -7. Suppose 139*s + 1315 = -1326. Put w, -1, 4, s in increasing order.\nAnswer: s, -1, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 68060, 136091, 204094, 272069?\nAnswer: 340016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the second derivative of -y**8\/3360 + y**6\/360 - y**4\/48 - 2*y**3\/3 - 4*y. Let q(u) be the second derivative of v(u). Solve q(m) = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 663 and (9\/6)\/((-5126)\/1716 + 3).\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 51, 5, -5 in descending order.\nAnswer: 51, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence spei when four letters picked without replacement from {u: 4, i: 3, p: 1, e: 6, s: 1}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 24 + 11*c + 12 + 7. What is the units digit of v(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1137997 or -145?\nAnswer: -1137997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -7*o**3 - 19*o**2 + 23*o - 311. Let a(f) = -20*f**3 - 58*f**2 + 68*f - 921. Let y(v) = 6*a(v) - 17*s(v). Give y(-26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 16247 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 220302 (base 5) to base 15.\nAnswer: 23a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:12 AM and 10:56 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + (-3 + 0 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (m + 3*m - 2*m + (-2 + 2 + m)*(-2 - 3 + 6) + 3*m - 5*m + 4*m)*(2*m**2 + m**2 - m**2).\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 101 - 102. Let q(n) = 26*n + 2. Let o(k) = 13*k + 1. Let i(d) = -14*o(d) + 6*q(d). What is the units digit of i(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 199132 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the third derivative of -j**5\/80 - 11*j**4\/96 - j**3\/4 - 5*j**2. Find g, given that y(g) = 0.\nAnswer: -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2\/13, 4, 0.06, -4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 2 n when three letters picked without replacement from {j: 1, t: 4, l: 1, n: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -54*f + 49*f + 3*c + 159130, -f + 31834 = c. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 753515.9 nanoseconds to seconds.\nAnswer: 0.0007535159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 368*r**2 + 349. Let u(q) = -q**2 - 1. Let b(t) = 2*m(t) - 14*u(t). Differentiate b(n) wrt n.\nAnswer: 1500*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-40)\/56 - 1247963\/(-553) is divided by 206?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12785 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = r**3 - 7*r**2 + 5*r + 8. Let z be t(6). Let w(g) = 2*g**2 - 4*g + 3. Let k be w(z). What is the greatest common divisor of k and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*q - 2*q + q**2 + (-3 - 3 + 8)*(-q**2 - 2*q + 2*q) + (3 - 7 + 3)*(-6*q**2 - q + q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 611118, 4, -128 in increasing order.\nAnswer: -128, 4, 611118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 2 + (sqrt(117)*-1)**2*3.\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*r + 4*l - 2 + 10, l = -r - 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 2*v - 7*v = 12, -2*v = 0. Does 13 divide 2\/s + (-1385)\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*v - 2*v + 6*v + 2*v - 4*v + 3*v + 6*v + 3*v - 5*v + 2*v - 4*v + v + (2*v - 3*v + 3*v)*(4 + 1 - 4).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*b + 8*b**2 - 3\/2.\nAnswer: (4*b - 1)*(4*b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t - 12. Let l be i(-11). Let j(m) = -11*m**3 - 2*m**2 - 2*m - 1. Let g be j(l). Calculate the greatest common divisor of g and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 355 minutes before 12:43 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 388555 * 2.6\nAnswer: 1010243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -312*r**3 - 8*r**2 + 2066*r - 10. Let d(i) = 156*i**3 + 4*i**2 - 1034*i + 4. Let y(u) = 5*d(u) + 2*v(u). What is the second derivative of y(w) wrt w?\nAnswer: 936*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 52.9245 days?\nAnswer: 4572676800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5875328*p**3 + p**2 + p + 413861 wrt p?\nAnswer: 35251968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = s - 12 + 4. Suppose -5*b = -0*u - u + s, -2*u + 7 = -b. Calculate the remainder when 4 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the second derivative of -8*w**4\/3 - 21*w. Let i(c) = 2*c**2. Determine i(g(o)).\nAnswer: 2048*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = -5*s + 2*h - 16, -2*s = -2*h + 8. Solve 2*q - q - 2 = s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1.218 - 1.782. Which is the second smallest value? (a) 3 (b) -1\/9 (c) 0.2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 1 + 5)*(74 + 65 - 167)*(15*d**2 - 8*d**2 + 7*d**2).\nAnswer: -784*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v**3 + 9*v**2 - 6*v - 12. Let s be f(8). Solve -18 = -s*n - 4*g + 2*g, -g + 13 = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 87885 and 86415?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j**3 + 21*j**2 - 89*j + 50. Give a(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k*k**1)\/k)**(-26)*(k\/(k\/k**(-3\/17)*k))\/k**(1\/7) assuming k is positive.\nAnswer: k**(-6345\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by -334055?\nAnswer: -4\/334055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -758*j + 7588 = -598*j - 12252 for j.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -7*w + 5. Suppose 0 = z + 4, 5 = -x - 5*z - 10. Let b(p) = -8*p + 6. Give x*b(s) - 6*l(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 50*w + 2273 - 705 = -2215 + 833 for w.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by -18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-2\/13)\/x*x*x**9)**(-10) assuming x is positive.\nAnswer: x**(-1150\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = 14 - 16.4. Let w = p + 2. Sort 2\/7, w, 3\/7 in decreasing order.\nAnswer: 3\/7, 2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.01074445 and -11783.\nAnswer: -11782.98925555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrereegege?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -3*j**3 + 12*j**2 + 24*j + 9. Let g(w) = -2*w**3 + 11*w**2 + 20*w + 9. Let k(m) = 4*g(m) - 3*n(m). Give k(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from nytszsnoo?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 560 and 5387480?\nAnswer: 10774960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 1, -0.1, 0.2, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 98 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/((-1)\/4))\/((-5)\/(235\/658))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.003110727 rounded to 5 dps?\nAnswer: -0.00311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 58122 is divided by 2384.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 830128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1060 and 196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**3 + 3*t**2 - 20*t + 3502. Calculate z(0).\nAnswer: 3502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p = 3*s - 7*p + 25, 5*s = 5*p - 35 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 2046 > 1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 39*c + 40*c - 1164 + 7708 = -330*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -253, -244, -231, -214?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1.7, 3\/8, -2, -9\/4, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6.36 - -3.36. Sort -1\/25, l, 2\/11 in descending order.\nAnswer: 2\/11, -1\/25, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*b**3 - 22*b**3 + 41*b**3 - 24*b**3 + 50*b**3.\nAnswer: 31*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:50 AM and 4:02 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10 + 2222?\nAnswer: 2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-16*w + 32*w - 20*w)*(11*w**3 - 152*w**3 + 24*w**3) to the form j*w**3 + g*w**2 + z*w**4 + f*w + d and give z.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 6*d. Let c(b) = 6*b. Let j(p) = 6*a(p) - 5*c(p). Let o(r) = 2*r**2. Give o(j(x)).\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p be (104\/10)\/(6\/15). Suppose -s - 5*n = -p, -3*n = -s - s. Find l, given that -2*l + 5*l**4 + 2*l + 3*l**4 + 2*l**3 + s*l**5 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -212*f**2 - 77*f**2 + 101*f**2 - 230*f**2 - 44*f**2 to t + q*f**2 + y*f and give q.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 4, 3, -587 in decreasing order.\nAnswer: 4, 3, -5, -587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zrznasnnnnzn. Give prob of picking 1 a and 3 z.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*(-3)\/(-90)*(-7005)\/19614.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3593 and 54.1?\nAnswer: 194381.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 41 - (0 + -34 - (1230 - 1364)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 5 or 68\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 17 + -15. Suppose d = 3*n - 885000, -w*d + 2*n + 1006358 - 2776358 = 0. Let g be (d\/(-9))\/(4\/720). Round g to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + 42 - (4 + (-32 - -23)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 3*l**2 + 32*l - 391. What is k(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 53 - 29 = 6*t + 2*v, -6 = -4*t + 2*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o**(1\/2)*o))**(-47)\/((o*o**(-1\/4))\/(o*o\/((o**(-1\/10)\/o)\/o)*o)) assuming o is positive.\nAnswer: o**(557\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4103 is divided by 192.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 703, 702, 687, 652, 591, 498?\n\"Answer: -o**3 - o**2 + 9*o + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4474 - 2746. Let i = n - 306. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 239 + 0. List the prime factors of p.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34543255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 * -1236049.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -11*g - 39. Let s = 22 + -31. Let t be r(s). Determine i so that -8*i**4 + 2*i - 2*i - 25*i**2 - 10*i + 3*i**4 + t*i**3 - 20*i**5 = 0.\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -x**3 + 6*x**2 - 3*x + 7. Let l be q(6). Let o = 16 + l. Suppose 0 = -r + 2. Put r, 1, o in descending order.\nAnswer: o, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11448111 to the power of 1\/3, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 3 w when four letters picked without replacement from uqwuhrrw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -376*n - 749. Let r be d(-2). Solve 4*j - 4 = -5*i, r*i + 42*j - 39*j = 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -78*q - 141 - 2043 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -613482, -1226981, -1840482, -2453985, -3067490, -3680997, -4294506?\nAnswer: -4908017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 117221.1206 rounded to the nearest 10?\nAnswer: 117220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 17\/86 (b) -46 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.4 (b) -6 (c) -1\/3 (d) 9 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 101 at most 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the first derivative of 0*u + 3*u**2 + 3\/4*u**4 + 3*u**3 + 3. Determine r so that f(r) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 175*b**2 + 2*b**4 - 325*b - 10*b**2 + 4*b**4 + 125 - 31*b**3 - 4*b**4.\nAnswer: (b - 5)**3*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2211506 - -4?\nAnswer: 2211512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*t - 5*t - 10*t + 26*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 2*i - 17 = -v, 2*v - 2*i = 2. Suppose 5*r - 2*p = 29, r + v*p = -6 + 1. Suppose -4*g = -r*g + 1. Put g, -2, 4 in increasing order.\nAnswer: -2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -22.18 - -104.18. Put 0.4, 2\/29, p in descending order.\nAnswer: p, 0.4, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 20321893 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 2*q + 3*y - 87 = 0, 5*y = 3*q - 25. What is the highest common factor of 10 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7827?\nAnswer: 3, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 243285.\nAnswer: 3, 5, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 200 = -5*o + 636, -2*o = -4*n - 340. Suppose 3*r - 11 = -2*z, -z - 4*z - 15 = -r. Suppose -1658 + o = -r*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3\/4*z**2 - 1\/2*z + 0 + 0*z**3 + 1\/4*z**4.\nAnswer: z*(z - 2)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -1, 10*o - 796 = 13*o - 4*g. What are the prime factors of (2 - (o - -3))\/1?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 5 - 65 = -k, -3*k - 90 = -o. Suppose 3*v = 6*v - o. What is the remainder when v is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1138 + 1145. Solve 17 = -10*w - m*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -169*z + 7697. Calculate b(46).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 39820427.\nAnswer: 563, 70729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w - 5*l + 2*l - 135, 0 = 5*w - 3*l - 333. Let x = w + -87. Let m = x + 13. Is -1 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 655.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -257*r + 3615. Is n(-119) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -5499783 and -0.7.\nAnswer: 3849848.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 349497119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-165)\/20)\/((-6)\/16). Suppose -5*q - w = -122. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -82 + 19 = -7*a. Suppose -2*j = j - 27. What is the units digit of 3\/(j\/2)*a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 128 and 23362496.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 3 + 24)*(-2*n + 2*n - n)*(21*n + 51 - 51) in the form p*n + q + w*n**2 and give w.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 34632858*i**4 + 9953*i + 535 wrt i.\nAnswer: 415594296*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 10111011101001111 (base 2) to base 4.\nAnswer: 113131033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 43298 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -159, -216, -273, -330?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 9*c**2 + 0 - 6*c**2 + c**2 + 1 - 1 + (-3 - 2 + 3)*(2*c**2 + 2*c - 2*c) + c**2 - 2 + 2)*(-277 + 277 + 125*c).\nAnswer: 125*c**3 + 125*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (-37*v + 43*v - 37*v + (-2*v - 2 + 2)*(0 - 1 - 1))*(-1 - 4 + 3) as i + t*v and give t.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 676756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1234865 = -84*n + 3807739. List the prime factors of n.\nAnswer: 173, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 98579516?\nAnswer: 2, 7, 3520697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iisisiiisiss. What is prob of sequence ss?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/6 - (0 - 74\/258). Is -1\/4 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i - 5 = -5*k, -5*i = -7*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 836179240 to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -342, -300, -248, -180, -90?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -1402 * -0.2\nAnswer: 280.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 5*p**3 - 17*p**2 - 5*p - 4. Let j(g) = 5*g**3 - 15*g**2 - 4*g - 3. What is 5*j(w) - 4*y(w)?\nAnswer: 5*w**3 - 7*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2843\/10 - -284. Let m be 2298\/(-116) - (-9)\/(54\/(-12)). Let c = 38\/29 + m. Calculate the common denominator of a and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a + 0*a - 4*a)*(3 + 2 - 6)*(-4 - 4 + 1)*(a + 0*a - 3*a).\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 370*h + 3263. What is the units digit of f(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14548 - 14548 - 6232*p + 6221*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -36700 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16448\/(-18504)*(-3)\/(-16)*-2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*b - 0*b - 2*q - 11, 4*q = 8. Solve 4*c - b*y + 4 = -1, -5*c - 19 = -2*y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 117076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6 - 2. Suppose -4*u = v - 6, -v - f*u + 6 = -8*u. Calculate the remainder when v is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 222879.\nAnswer: 3, 74293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-9)\/(45\/2)*5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 293.9781 rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = h**2 - 1423*h - 15786. Give r(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:21 AM and 1:29 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -2585 + 1293 + 3805*i + 9007*i + 1292 as b*i + k and give b.\nAnswer: 12812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) be the third derivative of -i**6\/120 + i**5\/15 + i**4\/24 - 3*i**3\/2 - i**2. Let c be x(3). Is c\/(-6) + (-2115)\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 430326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 11*o**3 + 11*o**2 - 5*o - 29. Let f(p) = -4*p**3 - 4*p**2 + 2*p + 10. Let u(w) = -8*f(w) - 3*g(w). Give u(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5825 - 2005. List the prime factors of d.\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -67\/15 and -41\/14829.\nAnswer: 74145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -2112 (base 3) to base 7\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = 2*z, -17*z = -7*d - 16*z. Solve d = -27*y - 23 - 31 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -9*i**2 - 2. Let s(o) = -o**2 - 1. Let u(w) = j(w) - 2*s(w). Let t(b) be the first derivative of 7*b**3 + 14 - b**3 - 5*b**3. Calculate t(u(y)).\nAnswer: 147*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 3 - 3)*((26*a - 20*a + 66*a)*(-2 + 0 + 3) - 3*a + 0*a + 2*a).\nAnswer: 284*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = m**3 + 572*m**2 + 3949*m - 48. Determine z(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/7, 0, 5, 11.1, 4, 29, 3 in descending order.\nAnswer: 29, 11.1, 5, 4, 3, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.566592 litres?\nAnswer: 566.592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1391 + -909. Let z be (-2 - -4) + 1 + c. Suppose 0*w - z = -w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -4, -0.2, -1119 in decreasing order.\nAnswer: -0.2, -2, -4, -1119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -964 = k + 595. Let m = -103 + k. What is the tens digit of (1\/(-2))\/(3\/m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -389 + 590. Let j be 3*(1 + 109\/3). Let m = h - j. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 48656814.\nAnswer: 2, 3, 353, 22973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = u. Let j = 15 + -11. Let l be -2*((-10)\/j)\/(-5). Which is greater: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -7*j - 3*j - 2*j. Let m(k) = -k**3 - 9*k**2 + k + 8. Let f be m(-9). What are the prime factors of d(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1 (b) -1761\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55936 = 53*n + 75*n. What is the greatest common divisor of n and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1.3 - 1.7. Let c = t - -1.4. Sort -3\/7, c, 2 in decreasing order.\nAnswer: 2, c, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -64 - 35323332?\nAnswer: -35323426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1411237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72*k - 5265 = -81*k. Calculate the greatest common factor of k and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 11 - 12 - 2*z + 1. Let k(u) = 16*u + 9*u - 4 + 4. What is k(a(o))?\nAnswer: -50*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 145905000 to the nearest 1000000.\nAnswer: 146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - y - 256 = 0. Let v be 0 - 4*4\/y. What is the closest to v in 3, 1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 66491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d\/d**0)\/(((d*d*d*d**(-1\/5))\/d)\/d*d))\/(d**0)**(3\/11) assuming d is positive.\nAnswer: d**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2518 + 2154. Suppose 6*n + 526 - k = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 667 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1)\/(-4) + 2 + 22\/8. Solve -b = n - 6*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -5 + (2\/(-120))\/((-49819)\/16548873). Let t = r + -2\/3235. What is the common denominator of 111\/28 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 3*p**2. Let z(b) = -1936*b - 6. Calculate z(j(o)).\nAnswer: -5808*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g + 4*j = -2025 + 4045 - 2013, -4*g = -0*g - 3*j + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -858*p = -459*p + 7980 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*g - 121 = -5*c, -8*c = -1427*g + 1426*g - 166 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 2*c**3 + 6*c**2 - 6*c**2 + c**2 - 2*c**3 - c**2 + (2*c**3 + 0*c**3 - 3*c**3)*(0 + 1 - 2) in the form o*c**3 + i*c**2 + n*c + z and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 938 < 6.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 226, 439, 636, 811, 958, 1071, 1144?\n\"Answer: -f**3 - 2*f**2 + 226*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 170106791 to the nearest integer?\nAnswer: 13042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1737 = 3*y - 4*h, -609 = -270*y + 269*y - 2*h. Solve -y + 607 = -2*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = -3*n - 5, -6*n + 12 = -2*n + 2*c. Suppose 3*p + n*w = -2*p + 100, -w + 38 = 2*p. Suppose -a = l - p, -a + 3*l + 30 = -0*l. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((w**(-2\/47)\/w)\/w)\/(((w**(-2\/63)*w)\/w)\/w))\/(w\/((w\/((w\/w**(1\/12))\/w))\/w))**13)**14 assuming w is positive.\nAnswer: w**(-153113\/846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 6753431.4 rounded to the nearest ten thousand?\nAnswer: 6750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:08 AM and 5:42 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(4400) + -1) - sqrt(4400)) + ((1 + sqrt(4400))*-1)**2 - (sqrt(4400) - (-5*(sqrt(4400)*-2)**2 - sqrt(4400)) - 6*(sqrt(4400) + -1)).\nAnswer: -83608 + 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1008) - (sqrt(1008)*2 + 1).\nAnswer: -12*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 4*m - 10852 = 0, 4*l - m + 1923 = 12780. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10739 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -6*k - 21. Give l(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -1069494 divided by -6\nAnswer: 178249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3348833 is divided by 708.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 533372\/279328 + 30\/(-16)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yz when two letters picked without replacement from {u: 1, y: 9, f: 2, z: 8}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 + 40?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2\/23 - 56\/115. Let q = -8 - -31\/4. What is the nearest to d in -0.2, q, 3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**3 - 4*j**2 + 2*j - 3. Let q be o(4). Suppose 0 = 188*y - 191*y + 24. Suppose m - q = y. Calculate the remainder when 51 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -134*s**4 + 114*s**2 - 39083.\nAnswer: -536*s**3 + 228*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3659 or -3660?\nAnswer: -3660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*a - 0*a - 2. Let d = -3 + a. Let o be 0*(0 - 1 - d). Solve 12 = -o*s + 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*d + 2*d = 5*q - 10, 0 = -2*d + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 638572 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -43157 divided by 419.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 0*s + 8 = 2*a, 3*s - 16 = -4*a. Solve 27 = -3*k + 3*h, -k - a*h = -14 + 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3 + 4 + 0 + -1. Let p(d) = -d**2 + 8*d - 8. Let r be p(a). Factor 4*t**4 + 6*t**3 + t**4 - 6*t - 5*t**r + 3*t**2 - 3*t**4.\nAnswer: -3*t*(t - 2)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1\/(4 - (-75)\/(-20)). Are -19 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 104\/78*3\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**5\/6 + 5*s**4\/6 + 25*s**3\/6 - 125*s**2\/6.\nAnswer: -s**2*(s - 5)**2*(s + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -3*b + 7. Let f(m) = 4*m + 36703. Determine w(f(s)).\nAnswer: -12*s - 110102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7869149 to the nearest integer?\nAnswer: 2805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = 12 - 2. Let h = -7 + d. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1702490549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i = 816 - 258. Calculate the greatest common factor of i and 2325.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8775200 and 1600.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*j - 4*x + 4, 0 = 5*j - 2*x + 5*x - 10. Find the third derivative of -p**2 + 2*p**3 - 8*p**j + 6*p**2 - 5*p**3 wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 - 14353300373.\nAnswer: -14353300369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7 - 11. Let u be 1\/(-2) + (-2)\/b. Solve 5*x - 3*t = 0, u = -3*x - 7*t + 2*t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 1118 = -1097. Let i(f) = -f - 12. Let x be i(-14). Suppose -x*r - 87 = -o. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 69*u - 1. Let q(s) be the second derivative of -s**7\/840 + 47*s**4\/4 - 105*s. Let i(p) be the third derivative of q(p). Give i(o(c)).\nAnswer: -14283*c**2 + 414*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 186 and 119505.\nAnswer: 239010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 74615*h**2 + 895808 wrt h.\nAnswer: 149230*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -5+750659035.8\nAnswer: 750659030.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -2*z**2 + 64*z + 6. Calculate o(32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 8154476329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15385?\nAnswer: 5, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-10)\/(-12))\/1*(-20)\/100.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i - 5*c = -2*i - 43, i + 2*c = -8. What are the prime factors of (12\/(-14))\/(3\/i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001294758 to 5 dps.\nAnswer: 0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uqhehuququhduhuuuqhh. What is prob of picking 1 e and 3 h?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 - 1)*((2*t**2 - t**2 + t**2)*(-3 + 1 - 2) + (2*t + 2*t - 5*t)*(-6 + 6 + 4*t))*(2*t - t - 3*t).\nAnswer: -72*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be 22\/4 - (-1)\/2. Let f = o + 1. Find m such that f*m - 2*m**2 + 2 - 7*m = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5035 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the second derivative of f**3\/2 + 20*f**2 + 16*f. Calculate the remainder when m(-11) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2\/7 - (-76)\/(-70). Let t = 68 - 108. Let h be 3\/(-5) + (-24)\/t. Is j smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from {p: 1, z: 1, o: 2, m: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*q**3 - 3*q**2 + 3*q**2)*(-291 + 62 - 1619) to f*q**2 + o*q + l + m*q**3 and give m.\nAnswer: 3696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 4, -5, 2\/3, -1.1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 3*j - 14. Solve j*z - 2*c + 10 = 0, 4*c - 1 + 7 = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(0 + sqrt(245) - sqrt(245)) + sqrt(245) - sqrt(245) - (sqrt(245) + 1 + sqrt(245) + 5))**2.\nAnswer: 168*sqrt(5) + 1016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-18*s - 88*s - 82*s)*(0 + 5 - 1).\nAnswer: -752*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that 3*z**4 - 138*z**3 + 1245*z**2 + 7866*z - 31320 = 0.\nAnswer: -6, 3, 20, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = -767 - 713. Suppose -q = -4*p - 30. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -15264*w + 7632*w + 7632*w - 945*w**2. Let a(v) = -2*v. Give a(s(p)).\nAnswer: 1890*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 414 minutes after 9:24 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 44*a - 24*a - 16*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -12 + 3 + 4 + 0 + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 1315*l**2 - 34*l + 312. What is the tens digit of b(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 11489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = k**3 + 2*k**2 - 2*k - 3. Let o be 5\/((-5)\/(-3))*1. Suppose 0 = o*z - f + 5*f + 14, 2*f = -3*z - 10. Calculate u(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*s - 2*s = u - 1, -u = 5*s - 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t = 5*x - 40, -730*x - 2*t + 6087 + 1247 = -1418 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -2451, 4, -19, 1.\nAnswer: -2451, -19, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 192423.6ns in microseconds?\nAnswer: 192.4236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 155997?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*o + 110 - 57 - 53 + (2*o + 4 - 4)*(4 - 1 - 1) + 161 - 161 - 3*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = 2*x - 3*g, 0 = 7*x - 2*x - 5*g + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -16*a. Let n(y) = 17*y. Let m = -1789 + 1784. Determine m*n(r) - 6*x(r).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from mve.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**3 + 6*j**2 + 3*j + 11. Let m be q(-5). Calculate the greatest common factor of m and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 3*z**2 + 1. Let w be k(1). Suppose -w*c + c = -36. Is (0 - 620\/c)*-3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -7*s - 7. Let r(h) = -3*h - 3. Calculate -5*r(o) + 2*u(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 11100101111111001010 (base 2) to base 3\nAnswer: 1202212012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -14.319 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y**4\/5 - 2218438*y**3\/5 - 615184504198*y**2\/5 - 615182285762*y\/5 = 0. What is y?\nAnswer: -554609, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 45722077?\nAnswer: 45722077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the first derivative of -5*c**2 + 7*c + 1. Let k(d) = 9*d - 6. Let i(x) = -4*a(x) - 5*k(x). List the prime factors of i(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 - -112?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.4 in -5, 2\/15, -7, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (112\/(126\/9))\/(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 56 - 56 - 12*z**2.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**0*c)**(-1\/10)*(c**(-6)\/c*c*c*c)\/(c*c**(3\/5)) assuming c is positive.\nAnswer: c**(-57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = u**2 + 8*u + 7. Let m be q(-7). Let c be -2317*(8\/(-28) + 0). Suppose -5*h + 4627 - c = m. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1255, -2561, -3855, -5131, -6383, -7605, -8791, -9935?\n\"Answer: f**3 - 1313*f + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o - 5*r - 14 = 6*o, -o - 2*r - 5 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 114267835 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*z = 2*k - 6*z + 12, -4*k - 3*z + 1 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be (0 - -1)\/((-2)\/(-6)). Suppose 4*y = -5*p - 0*y - 40, -17 = 3*p + y. What is the third smallest value in -2\/11, p, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 0\/((-3)\/(-1)) - (-1 - -1). Differentiate 0*i + h*i + 2*i - 4 - 34*i**3 + 24*i**3 with respect to i.\nAnswer: -30*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = 3*v - 9, -2*v - 8 = 2*v. Suppose 0 = 5*r + 10, 0 = -b + 4*r + r + 37. What is the greatest common divisor of q and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 440381074322 plus -0.2?\nAnswer: 440381074321.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7 - 3) + 1 - (-1 + 13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -322 - -569. Let y = -134 + p. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -24769.7 + 24770. Which is the nearest to -1\/7? (a) 0 (b) v (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 + 2 = 6*f. Let w(c) = -25*c + 6. What are the prime factors of w(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 231 or 500861\/2162?\nAnswer: 500861\/2162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 2*c**2 - 14*c - 14. Let b(x) = x + 1. Determine -56*b(h) - 4*o(h).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 + -4. Let s = -3.6 + 0.6. Sort s, k, -1\/6.\nAnswer: s, k, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(15)\/sqrt(3) + -2 + (sqrt(50)*2)\/sqrt(10) - sqrt(55)\/(1*sqrt(77)\/sqrt(7)))**2.\nAnswer: -8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 144 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 21011021220 (base 3) to base 10\nAnswer: 140910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 5, 6, -3 in ascending order.\nAnswer: -3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -2*f**2 + 91*f - 575. Give g(26).\nAnswer: 439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 2 w, and 1 b when four letters picked without replacement from pwpksblw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -t + 9. Let w be d(7). Suppose a = -1, -w*a = -5*x - a - 494. Let y be 2\/9 + 58\/x. Is -1 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 634*v - 6. Let u(m) = -635*m + 4. Calculate 4*u(l) + 3*x(l).\nAnswer: -638*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b = 2*s - 6, 81*b - 4*s + 12 = 50*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and 0.86.\nAnswer: 0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7) + sqrt(7) + -1 + -1)**2 + (sqrt(7) - (2*sqrt(252) + sqrt(7)))**2)*-3.\nAnswer: -3120 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1793353 decades to months.\nAnswer: 21.520236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1*(-1 + -2 - -4). What is the hundreds digit of ((-2)\/(-6)*12)\/(k\/47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = u**3 - 7*u**2 - 7*u + 4. Calculate the remainder when 34 is divided by v(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3142, -3144, -3146, -3148?\nAnswer: -3150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -36687.85 less than -141?\nAnswer: 36546.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + 29 = 3*z, 3*z - z = 2*w + 18. Let k be 854\/z + 1*2. Suppose -4*l + k = -2*i, 82 + 44 = 4*l - i. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3687\/700 - -1\/2100. Suppose -l + 3*l = 1196. What is the common denominator of f and 6\/(-21) + l\/231?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r**3\/4 - 1510035*r**2\/4 - 75507375*r\/4 - 943865625\/4 = 0. What is r?\nAnswer: -25, 503395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j = -3*j - 3. Let v(f) = -f**2 + f + 1. Let p(s) = 11*s**2 - 5*s - 10. Let t(a) = j*p(a) - 5*v(a). Differentiate t(x) with respect to x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 10960 and 210.\nAnswer: 230160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(13) + 1))**2*-3.\nAnswer: -1050 - 150*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0.3, -1\/3, 1\/39, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 24856 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 7*d - 3. Let z(f) = -6*f + 3. Let q(r) = 11*r - 224. Let b be q(20). Determine b*z(y) - 3*w(y).\nAnswer: 3*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 218781, 437564, 656351, 875142, 1093937, 1312736?\nAnswer: 1531539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**3 - 9*o**2 - 12*o - 4. Let g be q(10). Let w(c) = -93*c + 185. Is w(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18546 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*t - 6 = 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 65241 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(((sqrt(2057) - (0 + sqrt(2057))) + sqrt(2057) + 0)**2 + ((4 + sqrt(2057) + sqrt(2057) - sqrt(2057)) + -2)**2 + 0) + -4)*-5.\nAnswer: 880*sqrt(17) + 82380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = d**3 - 5*d**2 - 3*d - 11. Determine f(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = t - 1710135 - 1639875, -2*t - 4*w + 6699992 = 0. What is t rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -14 (base 11) to base 10\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 17*n**2 + 146*n - 483. Determine h(-11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 0.1 times 6659802\nAnswer: 665980.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 30729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 0 != 1\/45445028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 206*u = -725*u + 79*u - 1085*u - 48425 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Let z be 14*(-3)\/(-336) + 37553\/376. Suppose 0*f - 247 = -2*t + f, 4*f = 12. What is the highest common divisor of t and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 7*h**2 + 15*h + 26. Let o be c(-8). Suppose 0 = 3*u - 5*x - 520, -2*u - 3*x = x - o. What is the greatest common factor of 25 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -c. Let y be (9 - -87)\/8*(18 + -22). Let s(x) = -16*x. What is y*r(k) - s(k)?\nAnswer: 64*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of -5 and -29314427.\nAnswer: 146572135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 5*u**2 + 13*u + 36. What is the remainder when b(-3) is divided by 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q = 0, 2*o - 5*q + 2 - 8 = 0. Let j = 116 + -108. Solve 4*y + 2 - 8 = o*t, 4*y - j = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2240827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 25 + -40 + 32 + 1 + -15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 6 - (64 - 44)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -92 + 92.79. Let u = 0.7899788 - k. Round u to six decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in 0.3, -0.1, 2\/9, 1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 152*o = 209*o - 114. Solve 5*y - 35 = o*f, -2*f + y - 3*y = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -86 (b) 0.5 (c) 2249\/3 (d) -2 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1435 = -5*m + 5*a, 6*m - 3*m - 846 = -2*a. Suppose -2*s = -2*j - 342, -2*j = 2*s + j - 362. Let d = m - s. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the first derivative of -1\/12*g**3 - 25\/4*g + 5\/4*g**2 + 12. Find c such that d(c) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/14 + (-306)\/14. Let d = n - -27. Suppose 39 = 3*s + d*x - 21, 4*x + 40 = 2*s. What is the highest common divisor of s and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2462641 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*k = -49*k + 180. Solve 5*z - k = -32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52 + 53 = 3*o. Calculate the remainder when o is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52000027 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be 5 - 645\/(-10) - (-2)\/(-4). Let j = -46 + r. Calculate the remainder when 39 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -6*f**2 - 27*f + 4838. Give x(-31).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 10, 1, -4, -2, 204, -11 in increasing order.\nAnswer: -11, -4, -3, -2, 1, 10, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -11*d. Let x be (-1)\/(-8) - (-7)\/(-56). Let a(p) = -3*p - 6*p + 11*p + x*p. Give a(r(y)).\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 666.6051ns to milliseconds.\nAnswer: 0.0006666051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 6555440959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 293817531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5922507?\nAnswer: 3, 797, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -246 or -230?\nAnswer: -230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-7 + -5)\/(-4) + 8. Suppose -5*a + v*a - 12 = 0. What is the second derivative of 23*c**2 + 3*c**2 - a*c**2 - 2*c**2 + 11*c wrt c?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 12\/25 of a century?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 5*d = 10, 0*u + d = 2*u + 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 4*u + 20. Let w be h(22). Let k = w - 649\/6. What is the second smallest value in k, 0.03, -2, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nxnhqqnqhhhhhn. Give prob of picking 1 n, 2 q, and 1 x.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (6 + 1 + 1)*(y + 14*y**2 - y) + y**2 + 5*y**2 - 4*y**2 in the form l*y + n*y**2 + d and give n.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be -21 + 1*-4*(-3)\/4. Are x and -19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the second derivative of -7\/3*f**3 - 5*f + 0*f**2 + 0. Let s(u) = 3*u. What is 4*a(t) + 21*s(t)?\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7 - 3. Let d be (-1)\/1*(w + 1178). Let i = -9513\/8 - d. Calculate the common denominator of i and -51\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -31504 + 31529. Solve 26*r = -m*r - 306 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1 = -9\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y = -0*y - 2*j - 10, 2*y - 20 = 4*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z**(-4)*z)\/z)\/(z\/(z\/z**(-5))*z))\/(z\/(z*z*z\/(z\/z**(-7)*z)*z)*z*z**(-2)) assuming z is positive.\nAnswer: z**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the first derivative of 3*l**5\/25 + l**4\/4 + l**3\/15 - l**2\/10 + 6. Factor n(g).\nAnswer: g*(g + 1)**2*(3*g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -3*q + 11. Suppose -4*m - 85 = -653. Suppose p + 184 = 5*h, -3*h - q*p = -m + 46. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 102 = 2*p + 522. Let s be 4\/(-10) + p\/(-25). Let d = s + -4. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 209*j - 139. Let c be l(5). Let i = c + -902. Factor 4\/7 + 2\/7*h**i + 2\/7*h**3 - 6\/7*h**2 - 2\/7*h.\nAnswer: 2*(h - 1)**2*(h + 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 249 minutes before 6:15 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.2 (b) -4 (c) 0.1 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 4 (b) 18285777 (c) -4 (d) 5 (e) 5\/4 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:51 PM and 2:27 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1.01044 or -0.4?\nAnswer: 1.01044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (0 + 1)*(2\/(-30))\/(299\/(-897))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 65945.1078 + -0.05032?\nAnswer: 65945.05748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + (-1 - (6 + -1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-2*6\/(-8))\/(51\/(-170))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/(x*x*x**(-2\/9))*x)\/(x\/x**(-8\/3)))\/((x**2*x)\/x*x*x)**(-18) assuming x is positive.\nAnswer: x**(617\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**4\/11 - 8*z**3\/11 - 23*z**2\/11 - 28*z\/11 - 12\/11.\nAnswer: -(z + 1)*(z + 2)**2*(z + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g**3 + 11*g**2 - 13*g + 4. Let k be i(9). What is the greatest common divisor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a + 1. Let k be u(5). Is 3 a factor of (45\/(-10))\/(3\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 58537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 77213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1 + 5. Let w be b - 5\/((-15)\/(-6)). Let u(z) = -z**3 + z**2 + 3*z - 1. Determine u(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -2 - (-68)\/11 - 14\/77. Suppose 2*n - 1110 = -w*s, 0*n = 3*s + n - 833. What are the prime factors of s?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/12 not equal to -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -189954*i*o**5 + 9*i*o**3 + 179*i*o**2 - 7*i*o + 27*i - o**2 - 2 wrt o.\nAnswer: -11397240*i*o**2 + 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 79100 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -16\/41 < -47.42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from {q: 1, c: 6, k: 1, u: 1, m: 8}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-4)\/6 + (-104)\/6. What is the tens digit of (j\/(-8))\/(3\/128)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(2\/7)*d**1)\/(d**(-7\/3)\/(d\/(d**(-7)*d)*d))*((((d**(-1\/3)*d)\/d*d)\/d)**(2\/93))**47 assuming d is positive.\nAnswer: d**(22034\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -9668, -19332, -28994, -38654, -48312, -57968, -67622?\n\"Answer: l**2 - 9667*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -11, -61, -111, -161, -211, -261?\n\"Answer: -50*q + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 0 = -5. Put -3, 8, -2, o in decreasing order.\nAnswer: 8, -2, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 2. Let d(z) = -z. Let y(o) = 12*d(o) - u(o). What are the prime factors of y(-10)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 17060645 (base 8) to base 10\nAnswer: 3957157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1472, -11830, -39950, -94712, -184996?\n\"Answer: -1480*o**3 - o**2 + 5*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -2*j**3 + 11*j**2 + 9*j - 40. Let l be x(6). Is (121\/l)\/((-8685)\/8682 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q**2 + 7*q + 6. What are the prime factors of s(-12)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1*-428.8\nAnswer: -42.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -6, 0.3, -22, -3, 1\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 225 = 86*r - 81*r. Let t = r + -39. Solve j - o + t = 0, j - o = 2*j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**6)\/j*j*j*j**(-7)\/j*j)**12 assuming j is positive.\nAnswer: j**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -742 + 41?\nAnswer: -701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6208 is divided by 86.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = -9 + 10. Suppose 0*h - 25 = -5*h + 2*a, 3*a - k = 2*h. Calculate the remainder when h is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 64\/55 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2*6\/4 + -6. Let j = 5 + n. What is the smallest common multiple of j and (-3)\/(-2 - 41\/(-22))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -257, 9, -2.8 in ascending order.\nAnswer: -257, -2.8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -2586.1 to the nearest 10.\nAnswer: -2590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from {i: 2, d: 1, c: 1, p: 2, m: 1, j: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {r: 5, o: 1, g: 3, z: 1, k: 5, s: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 27079 by -2752.\nAnswer: -27079\/2752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9\/(45\/1)*10\/(-20).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1244*h**4 + 3*h**2 - 103 wrt h?\nAnswer: -29856*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -546*a - 125 + 125 + 1772*a.\nAnswer: 1226*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o + 14 = 7*o. Suppose 2*w - 117153359 = -3*l, -o*l - w = -2*w - 78102230. Suppose 13*m - 38948883 = l. What is m rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 662 times 499?\nAnswer: 330338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be 10\/4*29\/5. Let i = v - 14. Suppose 0 = 5*t + 4*m - 12, t + 3 = -5*m - 3. Put -0.5, t, i in increasing order.\nAnswer: -0.5, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 1625 (base 8) to base 10\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (440*h - 29*h - 42 + 42 - 45*h)*(2*h**3 - 7*h**3 - 6*h**3) in the form i*h**2 + x + y*h**4 + a*h**3 + l*h and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = -6*s + 2820. Let n = -82 + s. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 553229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Product of -12 and -1916.\nAnswer: 22992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 - 7 = 5*b. Let d be (-15)\/2*(-4)\/b. Let a = d + 16. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -n**3 - 27*n**2 + 66*n - 2. Determine f(-29).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -24 = 10*o - 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*l - 17*l = -3*d - 25, d - 15 = 3*l. Suppose -23*w + 30*w = d. Solve w = j - 10*j - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 3*r = -277, -5*r = 4*k + 526 + 25. Let t be 12*1*(15 - k\/(-9)). Factor -t + 4\/3*u**2 - 2\/3*u**3 + 2\/3*u.\nAnswer: -2*(u - 2)*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2.2 + -2. Let x = 137946 + -137948. What is the third smallest value in o, -25\/6, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20363023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -z**3 - 6*z**2 - 6*z - 7. Let d be f(-5). Let g be 6\/4 - 1\/d. Suppose g*j + j = 486. What is the greatest common divisor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q**(-1))**(-1\/5)*(q\/((q*q\/((q**(-2\/17)*q)\/q))\/q))\/q*q\/q**6)**(-1\/15) assuming q is positive.\nAnswer: q**(104\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 56\/279 and 59\/1302?\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 13 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -211030 (base 8) in base 10?\nAnswer: -70168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*n = 4*n + 30 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 19 - 14. Suppose 285 = c*t - 450. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 154? (a) -1\/5 (b) 0.063 (c) -301\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 54*x - 9. Is 3 a factor of d(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 4, 2\/7 in descending order.\nAnswer: 5, 4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 832680 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bkkkbgkkhgk. Give prob of sequence gh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (2*f - 2*f + 4*f**2)*(-3*f - 2*f + 3*f + (-1 + 3 - 1)*(0*f - 2*f + f) - 3*f + 0*f + 4*f - 2) as c*f + i*f**2 + y + r*f**3 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide -9303367 by 9303367.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t**3 - 6*t**2 - 2*t - 6. Let g be l(6). Let n be 18\/4*(-372)\/g. Suppose -n = 4*j - 5*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -96 and -48.4068.\nAnswer: -144.4068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l**2 + 4*l + 98. Calculate q(-11).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-220 - -225 - (0 + (1 - 1))) + 7 + -28?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 517 minutes before 8:55 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*n + 12 - 2. Let j = 23 + -11. Suppose n*c = -y + 36, 3*c - j = -2*y - y. Calculate the remainder when 23 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1541698581 to the nearest integer?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-8)\/(-6))\/(-24*10\/(-540)). Solve -10*t - m*o + 19 = -11*t, -5*o = t - 21 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 713 = -5*j - 147. Suppose -5*c + 10 = 0, -d - 14 = -c - 3*c. Is 13 a factor of j\/d*(-3)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2037999 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = -657.8 - -678. Let n = x + 241.6. Round n to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -103\/56 and -17\/5024300.\nAnswer: 70340200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -2518395 divided by 503679?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 18\/13, -2, 1\/7, 99.6287 in increasing order.\nAnswer: -2, 1\/7, 18\/13, 99.6287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 3*d**2 + 5*d - 1. Suppose 0 = -z - 2 + 3. Let u = z - 6. Is w(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j**3 - 3*j**2 + 3*j + 5. Let y(z) = 2*z**2 - 7*z**2 + 9 - 3*z + 8*z - 2*z**3. Give 5*b(r) - 3*y(r).\nAnswer: r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 48 minutes before 11:28 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -m**3 - 3*m**2 + 3*m - 1. Let p be x(-4). Suppose 0 = -2*y + 3*y - p. Let a be (-10)\/(-25) + 2\/(-5). Solve l = d - y*d + 8, l + 4*d - 12 = a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/(x\/x**(-1)))**(4\/21))**(-6) assuming x is positive.\nAnswer: x**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 8446 (base 14) in base 11?\nAnswer: 16146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 2 q, and 1 z when four letters picked without replacement from {q: 2, d: 4, z: 7}?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = -4*d + 160 + 108, -3*l = -5*d + 335. Let h(k) = k**2 - 2*k - 1. Calculate the remainder when d is divided by h(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 63 + -194\/3. What is the nearest to 0 in 0.4, -1\/3, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 230884807.\nAnswer: 31, 263, 28319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k + 8 = 2*k. Suppose 0 = -4*v + j + 29 - 6, 3*v + k*j = 41. Suppose 1368*u + 202*u = 10990. Calculate the greatest common factor of u and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -79804 + -0.073\nAnswer: -79804.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = 6*v - 3*v, s = 2*v - 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*v + 3*y = 13*v - 2*y + 60, 55*v + 274 - 38 = 2*y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15 + 12600\/(-850) - (-164)\/34?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33772626.\nAnswer: 2, 3, 69491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2513 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 758129407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cxxxxxcccxcccx. Give prob of sequence xccx.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:20 PM and 12:04 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -393 and 0.2?\nAnswer: -78.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 4*n. Determine z(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**2 + i. Let g be p(2). List the prime factors of 0 + (-40)\/g*1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(1\/4))**14*(k**(1\/4))**(-16)*(k*k*k*k*k**(-1\/10)*k*k*k\/(k*k\/(k\/(k*k\/(k**0\/k*k)))))\/(k\/k**(2\/11)*k\/k**(-4)) assuming k is positive.\nAnswer: k**(-133\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3231532*t**2 + 14*t + 1092254373 wrt t?\nAnswer: -6463064*t + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -3*d**2 - 5*d + 3 - 3*d**3 - d**2 + 5*d**3. Let j(i) = 3*i**3 - 7*i**2 - 9*i + 5. Let w be 39\/6 - (-1)\/2. Determine w*b(z) - 4*j(z).\nAnswer: 2*z**3 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(-10) - (-45)\/(-90)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0\/(1 - 0) - (-152)\/38. Suppose -y*d + 4 = -676. Calculate the highest common factor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 16 = f - 3*y, -16 = 2*f + 5*y. Let c(q) = 13*q**3 + 7 + q**2 + 1 + 2. Let r(a) = -9*a**3 - a**2 - 7. Let b(z) = 5*c(z) + 7*r(z). Give b(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.7 + 0.2. Let m = -6 - -5.6. Let k = m - p. Which is the second smallest value? (a) -2 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -548 greater than or equal to -543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -720157, -1440315, -2160475, -2880637, -3600801, -4320967, -5041135?\nAnswer: -5761305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 190 and 665?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -123\/8, 56, -2 in decreasing order.\nAnswer: 56, -2, -123\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = 3*d + 68. Let o = 77 + d. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -29 = -10*a + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 528801853 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 2*t = -2*t - 444, 4*n + 855 = 3*t. Let z be 6\/(-2) - n\/8. Let m = z + 1. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 30.3 + -30. Which is the closest to 1? (a) -2\/5 (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 489*x**3 + 12*x**2 - 15*x + 17. What is the thousands digit of o(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f - 28. What is m(4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -6*k + 1. Let p(r) = -r. Let s(n) = h(n) - 5*p(n). Let i(u) = 4*u - 6. Determine i(b) + 3*s(b).\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 106*a + 81*a - 2414170. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f**3 + 8*f**2 + f - 5. Let j be s(8). Sort -6, 2, j.\nAnswer: -6, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from phphhhppppppppphppp. What is prob of sequence ph?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 36, 66, 110, 168, 240, 326?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*t = 3*t + 2676. Let w = t - 399. Let o = -4 - -58. Calculate the greatest common divisor of w and o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + -5 + (-2*sqrt(2057))**2 + (sqrt(2057) - ((sqrt(2057) - (sqrt(2057) + -1)) + -1)) + -5 + 1.\nAnswer: 11*sqrt(17) + 8222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -9388*r + 8 = -9390*r - 106 for r.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*x**4 + 12*x**3 + 38*x**2 - 48*x.\nAnswer: -2*x*(x - 8)*(x - 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - (12 - (11 - 5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1324 is divided by 83.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = -35123 + 35123. Which is smaller: x or 4\/14561?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7009, -7010, -7011, -7012, -7013?\nAnswer: -7014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/10)\/((-5)\/(150\/24)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 286 minutes before 8:04 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 15 - 13. Find the second derivative of -s*q + 2*q**5 + 4*q**5 - 2*q**5 wrt q.\nAnswer: 80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2016002 is divided by 391?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 470601853*v**3 - 2*v**2 - 98*v - 40435 wrt v?\nAnswer: 2823611118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 2113 by 8.\nAnswer: 2113\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -710956 by -590.\nAnswer: 355478\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the first derivative of g**5\/5 + g**4\/4 + 69*g**2\/2 + 62. What is the second derivative of l(n) wrt n?\nAnswer: 12*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -517210 + 517210 + 122*r. Let b(l) = 23*l. Calculate b(o(y)).\nAnswer: 2806*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 47693874 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 137 - 136.8. Which is the nearest to -1? (a) 4 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 307 and 24253?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 2*y**2 + 137*y - 68. What is r(-69)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3.8 - -3.76. Sort y, -1\/2, 1 in ascending order.\nAnswer: -1\/2, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0365315 to three dps.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (119\/(-51))\/((-42)\/63)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mttt when four letters picked without replacement from {c: 2, t: 3, j: 1, m: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 50579360817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the first derivative of 2*n**3\/3 + 7*n**2\/2 + 5*n - 1. Let b be c(-4). Let j = 11 + b. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4 + 0 + 2 - -2. Let o = l - 8. Suppose 35 = 5*f + 5*a, -3*a - 11 = -o*f - f. Solve 0 = -b - 3*b + f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that -4*c**2 - 1411076*c + 11288864 = 0.\nAnswer: -352777, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 28554209.8000001 + -28554212. Let j = 2.36 - 0.16. Let l = q + j. What is l rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -0.06, -2\/13, 7, -29, 4\/7 in decreasing order.\nAnswer: 7, 4\/7, 0, -0.06, -2\/13, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10650572.\nAnswer: 2, 173, 15391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -12 + 6 + (9 - 4) + (-9 - 2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 16\/45 and 43\/14160.\nAnswer: 42480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide 672 by -3.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2, 5\/11, -4?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/15 in -1172, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 728 = 2*g - 4, 3*y + 3*g = 543. What is the remainder when y is divided by 51?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 95902363 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -109\/72 and -65\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 - -3 - (12\/2 + -8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*y - 4 + 13, 2*y = -3*w - 75. Let d be (-3)\/(-6) - w\/2. Suppose -3*n = -2*c + 2*n - 5, -3*c - 3*n + 24 = 0. Solve d = 2*z - c*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 980*d**4 - 4720 wrt d.\nAnswer: 3920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**2 - 5*g + 3. Let t be k(-5). Suppose -40 = -t*p + i + 17, i - 3 = 0. Solve -u - p = -6*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that -l**2 - 194*l + 1200 = 0.\nAnswer: -200, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = 4*i - 317, -129 - 108 = -3*i + 3*c. What is the least common multiple of i and 90?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4182236?\nAnswer: 2, 1045559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lgg when three letters picked without replacement from zgxcgzzlczc.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = 2*p - 2*m - 120, -2*m - 4 = 0. What is the remainder when 84 is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -239*y - 532*y - 519*y + 59*y + 85*y to s*y + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:27 AM and 2:48 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 51*y + 9. Let p(z) = 5*z + 1. Determine -2*n(f) + 21*p(f).\nAnswer: 3*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the third derivative of -5*o**4\/24 + 5*o**2. Let h(x) be the third derivative of x**5\/30 - 6*x**2 - 2. Determine t(h(f)).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 144115 + -17293913\/120. Find the common denominator of v and -139\/1044.\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 5*i + 5*q, -3*i + 45 = 2*i - q. Suppose -l - 4*l - 3*l = 0. Solve 2*n + l*n = i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/123 (b) -2\/5 (c) -1\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor j**2\/3 + 40696004*j\/3 + 414041185392004\/3.\nAnswer: (j + 20348002)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4 or 2068\/597?\nAnswer: 2068\/597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 291 + -149. Let h = m - 146. Let i = 6.7 - 7. Which is the nearest to 2? (a) h (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + 1 + sqrt(3) + 0)**2.\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1862)\/6 - 8\/(-12)*-1. Let x = -273 - u. What is the remainder when x is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5 - -3) + (1 - -2 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6103 - 6123. Let h(y) = -7*y. Let o(l) = -l. What is g*o(c) + 5*h(c)?\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -375644, -375640, -375634, -375626, -375616?\nAnswer: -375604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 2*h**2 + 24*h - 1263. What is f(20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 14 and 45409.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6 - -2. Let d = -0.25 + 4.25. Let z = 54 + -51. Put b, z, d in descending order.\nAnswer: d, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 108 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -3 + (-5 - (-16 + 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be 50426019793\/396 - 2\/8. Let s = -127338696 + m. Let r = s - -2332\/9. Find the common denominator of -71\/20 and r.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 6\/(-5 + 2) - 26. Let m be (-128)\/a + (-3)\/(-7). Solve 3*d = 10 + m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 762635035 to the power of 1\/2, to the nearest integer?\nAnswer: 27616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**2 - 40*s - 82. Let m = -223 + 206. Is 4 a factor of y(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10046549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 23287360 rounded to the nearest 10000?\nAnswer: 23290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -51294*r + 51294*r - 10*r**2.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 6 + 14 = 0. Suppose -3*m + 15 = -12. Let b = m + i. Calculate the remainder when b is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1.1058161077 to 2 dps.\nAnswer: 1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = -g - 18, 2*j - 62 = 5*g - 2*j. Let k = 91 + g. What is the greatest common divisor of k and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 + 6. Let t be (10\/38)\/((-2)\/4). Let f = 106\/57 + t. Which is the nearest to -2\/9? (a) -2\/3 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {i: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/8*-4 - (-8 + 15). Suppose 0 = 2*y + 1783 + 209. What is the tens digit of w\/(-14) + y\/(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = -3*a - 3*z, -47252*z - 4 = -4*a - 47254*z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 2*x**3 + 73*x**2 + 399*x - 75. What is w(-30)?\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 81 + -81.13552. Let y = -0.134 - i. Round y to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 14*m + 3. Calculate the least common multiple of k(3) and (3135\/(-114))\/(30\/(-60)).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2499 - 0.0591.\nAnswer: -0.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (-12 - -8) + -1 + -3 - 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 586 * 1.\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 165 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -11*q**3 - 82*q**2 - 22*q + 54. Is u(-25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/(2 + (-2322)\/1158). Suppose 2*l = 4*l - r. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5 + 522433103?\nAnswer: 522433112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 10 and 847370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 42202, 84375, 126516, 168625, 210702, 252747, 294760?\n\"Answer: -16*k**2 + 42221*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: What is 141505 to the power of 1\/2, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 596 divide 3493156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the first derivative of 5\/3*p**3 - 1\/2*p**4 + 2*p**2 + 10*p + 26. List the prime factors of n(-4).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 0, 5, -64, -10, -303, 2 in increasing order.\nAnswer: -303, -64, -10, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(-2 + (sqrt(320) - sqrt(320)*-2) - sqrt(320) - 2*sqrt(320)*-2)**2.\nAnswer: -1152*sqrt(5) + 69144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34505*n**2 - 17251*n**2 - 17254*n**2 - n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = -34 - -38. Suppose 244 = -a*n + 304. Calculate the highest common divisor of 195 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -4*j + 18. Suppose -j = 5*b - 141. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 508 minutes before 10:36 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -2528 >= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = 11 - 6. Let f(d) = 7*d - 3. Let b be f(c). Solve -t + 4*t + 3 = -3*v, -3*v + 4*t + b = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 13322 + -3014.\nAnswer: 10308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 419*f**4 + 614*f**4 + 23*f**4 - 60*f**4 + 0 - 16*f - 2 wrt f.\nAnswer: 11952*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2600329 to the nearest integer?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(-5*sqrt(252)\/(sqrt(900)*5))**2 + 1.\nAnswer: 67\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 221 (base 3) to base 9\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nlrnnbvnb. What is prob of sequence nlrv?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*6*-1*(-3 + -2*sqrt(396) + (-1 + sqrt(396))*-2 + 3*-6*(sqrt(396) + -1)))**2.\nAnswer: -1454112*sqrt(11) + 62192772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -253510 (base 9) in base 7?\nAnswer: -1206351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s**3 - 46*s**2 - 8*s - 363. Determine d(-46).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2.1 - -1.7. Let g = u - 0. Let q be (-38)\/(-60) - 5\/10. What is the second biggest value in g, q, -3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-552)\/(-108) - (4 + 1). Which is the nearest to -1? (a) o (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 293 - 9*a**2 + 160 - 563 to the form l*a + x*a**2 + y and give y.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z**4 - 43990*z**3 - 3947920*z**2 - 60358410*z - 255545685 = 0 for z.\nAnswer: -71, -9, 8887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 14 + (-14 - (-25 + -2)) + -2\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-4)*c**6)\/((((c**0\/c*c*c*c*c*c)\/c)\/c*c)\/c)**41*c**(-2)\/c**(-6)*((c*c**(-6))\/c)\/(c\/(c*c\/c**1)*c) assuming c is positive.\nAnswer: c**(-83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 50034 is divided by 12508.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be (6\/(-5))\/(4 - 44\/10). Let w be g\/((-18)\/4) + (-4823)\/(-273). Solve 0 = -5*v + 8 + w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -102*b + 105*b + 0*b**2 - 2*b**3 - 11*b**3 - b**2 to x*b**3 + w + k*b + s*b**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 5*i - 12. Let r be m(6). Suppose 3*l = 2*c + 27, -4*l - c + 7 = -r. What is the greatest common factor of l and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -9*o - 7. Let b be l(-3). Suppose -b = -3*h - 5. Sort 6, -2, h in decreasing order.\nAnswer: 6, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 319.093 rounded to the nearest 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -40*f + 502. What is the smallest common multiple of 220 and n(12)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 58.3624 micrometers to nanometers.\nAnswer: 58362.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 70*o**3 - 2 + 1 + 57*o**3 - 164*o**3 to n*o**2 + g*o + t*o**3 + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 14 = -5*u, -8*u + 7*u - 5 = -2*o. Let p(i) = -i**2 + 6*i - 7. Let z be p(o). Suppose l = 6*l - 10. Solve -w = -l*w - z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -116 or -34731?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -3*b + 2, -3*b - 9 = -4*r. Let x be 8\/(-6)*6\/(-4). Suppose -x*u = -5*u - 9, 0 = 5*s + 4*u - 13. Sort r, 4, s in descending order.\nAnswer: s, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((4*sqrt(77)*-2 - sqrt(77)) + sqrt(77) + (sqrt(77) + 1*sqrt(77))*4 + sqrt(77))\/(sqrt(77)\/(sqrt(704)*3)))**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2a85 - -3?\nAnswer: -2a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2003 - -11?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(-5)*g*g**(-8)*g**(-2\/17)\/g**(2\/21) assuming g is positive.\nAnswer: g**(-4360\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -9331*l = -9990*l + 36904 for l.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the second derivative of -p**6\/450 - 3*p**5\/25 + 4*p**4\/3 - 43*p**3\/6 - 99*p. Let d(g) be the second derivative of y(g). Solve d(s) = 0.\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 181201.5 millimeters in centimeters?\nAnswer: 18120.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v - 464*p = -1377, -p + 11 = -2*v - 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2676, 5426, 8176, 10926, 13676?\nAnswer: 16426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1880.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s**(-3)*s**(1\/16))\/(s**(-4))**46)**(-2\/9) assuming s is positive.\nAnswer: s**(-971\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1452)*2 - sqrt(12))\/(2*sqrt(6)*-5) + 4*-4*(sqrt(320) - sqrt(20) - sqrt(20))\/sqrt(10))**2 + -3.\nAnswer: 116131\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k be 395133711\/147 + 3\/(-7). Suppose 5 = -v + 12. Let n be (-2)\/v - k\/56. Round n to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - w)*(-w**2 - 2*w + 2*w) + (4 - 4 + w**2)*(2*w - w + w) + w**3 - 7*w**3 + w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 166 = -43*w + 126*w. Put -7, 3, w, -3 in increasing order.\nAnswer: -7, -3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5c64 + 4?\nAnswer: 5c68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 44, 71, 96, 119?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 628 + -473. List the prime factors of k.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q + q - 16, 0 = 5*v + 4*q + 4. Let n = -2 - v. Suppose -78000003 = -3*l + 3*w, 5*w + 52000003 = 2*l + n*w. Round l to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*m - 512 + 500 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1291 divided by -1.\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5033, -9995, -14957, -19919?\nAnswer: -24881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 2525, 5063, 7611, 10169, 12737?\n\"Answer: 5*a**2 + 2523*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be (2 + 2)*3\/6. Let o be (-4)\/((-10)\/3 + g). Find r, given that 5\/3*r + r**o + 7\/3*r**2 + 1\/3 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 108 = o, 2*o + 2*d = 3*o - 103. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 541649 times 413\nAnswer: 223701037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + 1 - (-70 - -66)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 56854010 divided by -11370802\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -6*u. Suppose -10*l + l = -2*l. Let v(y) = y**3 - 3*y**2 + 3. Let s be v(3). Let b(j) = l - 2*j - s + 3. Calculate b(r(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 14*g**2 - 1. Let a(f) = 5*f**2. Let y(d) = d**3 - 6*d**2 + 7*d - 2. Let n be y(5). Calculate n*a(m) - 3*z(m).\nAnswer: -2*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 33279762409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -636, -5, 0.7?\nAnswer: -636","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the third derivative of p**5\/60 + 3*p**4\/8 + 4*p**3\/3 - p**2. Let j be k(-8). Solve j = 5*b - g + 6 + 9, 2*g = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 405 or 403?\nAnswer: 403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2950*i - 744*i - 740*i - 725*i - 742*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -f**3 + 17*f**2 - 17*f + 20. Let h be z(16). Suppose 7*m - 33 = -h*m. Solve 5 = m*n - 5*x, -n - 2*n - x = -17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4553540)\/(-43700) - (-4)\/5?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-24)\/q)\/(q**(1\/2)*q))**(-50) assuming q is positive.\nAnswer: q**1325","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l + 5. Let u(q) = -q + 1. Let y(x) = p(x) - 2*u(x). Let z = 41 - 37. Is y(z) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/(-1) + (-2)\/2. Let m(c) = -c**2 - 2*c - 19. Let i be m(-4). Let j = 27 + i. Solve j = -a*d + 4, -2*d + d + 7 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -9042*k**3 - 3925*k**2 + 12763139*k + 4 wrt k?\nAnswer: -54252*k - 7850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-100)\/15*18\/(-5). Let a(b) = b**2 + b**2 - 25 + 9 - y*b. Let h be a(13). What is the greatest common factor of 70 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**2 - 1 + 2*u + 6 - 7 + 3*u. Let x be r(3). Let h be (1\/(-3))\/(x\/12). Is 3 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 3435*g**2 + 19*g - 282. Let v be l(18). What is v rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 2*o**2 + 2*o**2 + 0 + 1056*o**4 - 2*o - 629*o**4 as j + a*o**3 + i*o**4 + r*o + y*o**2 and give i.\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4016 + -24025\/6. Calculate the common denominator of a and -181\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h**2 + 6*h + 77. Give a(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 844702863378 minus 7?\nAnswer: 844702863371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -6267178, -6267181, -6267184, -6267187, -6267190?\n\"Answer: -3*i - 6267175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7760009, 7760010, 7760011, 7760012, 7760013?\nAnswer: 7760014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 175*b - 188*b = -104 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 1\/7929530 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 70*t**2 + 1. Let r be x(1). Suppose -r = -3*g - g - 5*w, 2*g - 25 = w. What is the remainder when 3\/((9\/(-40))\/(-3)) is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 15\/21*(-6)\/90*6\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0719 times 0.004?\nAnswer: -0.0002876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(468)*-6 + sqrt(468))*1 + sqrt(91)\/sqrt(7) + 0 + sqrt(624)\/sqrt(3))**2.\nAnswer: 48373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -26*b - 12. What is the units digit of a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {x: 10, i: 9}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that 1\/2*x**2 - 11\/2*x - 6 = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -p**2 + 6*p + 3. Let s(f) = 5*f**2 - 25*f - 13. Calculate 18*m(i) + 4*s(i).\nAnswer: 2*i**2 + 8*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1 + 2. Differentiate -10 + 13 - 4*t**3 + 3*t**i wrt t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 - 0 - (-41 - (6 + -36)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -54.74 - -54. Let y = q + 0.7. Let x = y - 0.96. Which is the closest to x? (a) -1\/4 (b) 0 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-46)\/(-24) - 2)\/(-5). Let y(m) be the third derivative of k*m**5 + 0 + 1\/120*m**6 + 0*m + 0*m**3 - 1\/210*m**7 - 2*m**2 - 1\/24*m**4. Factor y(u).\nAnswer: -u*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 k when four letters picked without replacement from ikkkikikikiikikkkivi?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 1563 - 276 = 0. Is y smaller than -426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -71*z - 29*z + 3204 = -6196 for z.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 53 = -63. Let r be n\/4 - (-105)\/30. Solve 0 = -r*s - 0 - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 138008 = -49*f + 75*f. List the prime factors of f.\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 233304?\nAnswer: 2, 3, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1 + -1. Let g be 7\/14*w\/1. Let l(u) = -3*u - 2. Let v(m) = m**2 + m + 1. Let y(p) = g*l(p) - 3*v(p). Differentiate y(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**(-6)\/r)\/r**(-2\/5)*((r*r**(1\/5))\/r*r)\/(r*r**(-6)*r)*(r\/(r**(2\/9)\/r)*(r*r**(-9))\/r)**(6\/19) assuming r is positive.\nAnswer: r**(-764\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -26, 15, 66, 127, 198?\n\"Answer: 5*n**2 + 26*n - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1.1 and -132.\nAnswer: -145.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2618317*d - 2618281*d - 756 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3223 + 5201. List the prime factors of r.\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -2*b**3 + 5*b**2 + 204. Let i be z(0). What is the highest common divisor of i and 459?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (20 + 8 + 14)*(4 + 2 - 3)*(4 - 2 + 0)*(-n - 3*n + 2*n) to t*n + w and give t.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 13121*v - 2 - 13122*v + 3. Let h(c) = -7*c - 3. Give -h(z) + 4*q(z).\nAnswer: 3*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -215 = -10*m + 7*m - 5*l, 0 = -3*m - 4*l + 220. Differentiate -m*n**4 - 43982*n + 43982*n + 8 wrt n.\nAnswer: -320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -233, -3, 13 in decreasing order.\nAnswer: 13, -3, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is ((-60)\/90)\/(2 - (-21)\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 1.827 to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 105 divide 10230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-10 + 174)*1\/1. Let n = i - 105. What are the prime factors of n?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -101809 + 173174. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -128822 + 196422. Round p to the nearest 1000.\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**2 - 9*p + 3. Let x be i(6). Suppose -h - 4*g - 18 = -5*g, -4*g + 27 = -h. Is h at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 64056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 63*k**2 - 37*k + 31. What is the remainder when r(10) is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-44*o - 24*o - 9*o)*(-o**2 + 2*o**2 + 2 + 0) to m*o**3 + d + n*o**2 + a*o and give m.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = -10 - -9.64. Let r = y + 0.16. Let m = 10 + -5. Which is the nearest to 1? (a) r (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 140387329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -3113, -3129, -3145, -3161, -3177?\n\"Answer: -16*l - 3097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-244)\/427*2\/8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r - 52 + 50 = 3*l, 0 = -5*r + 2*l - 37 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -h**2 + 18*h - 43. Let t be j(3). Let k be t + 14\/(-49)*-7. Solve 0 = -5*f - k - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-52)\/(-16))\/(23\/(-1288)*-14)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-3564)\/(-77) - (-2)\/(-7) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {i: 6, n: 12}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + (36\/10 + 1)\/((-6)\/10)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -21703 - -21705. Solve -i*a + 2 = -4*m - 2, 5*a = m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of q**3*t*v + 41*q**3*v + 38*q**3 - q**2*v - 3*q*t*v - 3881*t*v wrt q?\nAnswer: 6*t*v + 246*v + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3 + -1435138?\nAnswer: -1435135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -b - 2146 + 727 + 707 + 712.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 544*n = -655 - 8593 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) be the second derivative of -5*c**3\/6 - 3*c**2 + 18*c - 107. Let o(r) = -10*r. Give s(o(i)).\nAnswer: 50*i - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 3*h - 17. Give c(22).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:40 PM and 10:30 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -17493, -138881, -468073, -1108971, -2165477, -3741493, -5940921, -8867663?\nAnswer: -12625621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10 and 192888245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:40 AM and 9:52 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (113\/(-452))\/(2\/((-16)\/(-11))).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-16)\/(-6)*(-135)\/(-30). Let a be (2 + 1)*28\/y. Solve 2*j - 1 + a = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 192\/120*(-1260)\/(-3168)?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3184 is divided by 177.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.38, 0.1, 0, -2\/3, -0.5, -0.02?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -629\/3*u**4 - 1\/6*u**5 - 12171810*u**2 - 526681\/6*u**3 - 12348000 + 24607800*u.\nAnswer: -(u - 1)**2*(u + 420)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Let o be (-8)\/(-14) - 28\/49. Let a(g) = -11*g + 205. Is a(o) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -188, -308, -452, -620, -812?\n\"Answer: -12*w**2 - 84*w - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 3 = -1. Let p be -3 - (t + 1*-6). Does 3 divide 9\/9*(p + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2 + -2. Let m = -8 + 6. Let q = m - t. Put -0.1, q, 0.5 in decreasing order.\nAnswer: 0.5, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*((sqrt(468) - (sqrt(468) + sqrt(468) + 0))*3 + 5))**2.\nAnswer: -1620*sqrt(13) + 38133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 30793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000515058056 rounded to seven decimal places?\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (25*i + 2 - 1 - 23*i)*(-i + 8 - 9 - 2*i).\nAnswer: -6*i**2 - 5*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 1009 and 5?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 218 divide 58536270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 223*x**3 + 6*x**2 - 8*x + 5. Let m(b) = 149*b**3 + 4*b**2 - 5*b + 3. Let r(z) = -8*m(z) + 5*p(z). What is the third derivative of r(l) wrt l?\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*y - 46256 + 1125 = 16144. Is 75 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 23.47 - -0.53. Let t = j - 23.8. Which is the second biggest value? (a) 3 (b) -1\/3 (c) 0.5 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3298098*r**4*y + 20*r**3*y + 1320912*r - 5*y wrt r.\nAnswer: -39577176*r**2*y + 120*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3)\/2 + 19\/(-2). Let m = 16 + d. Suppose 0 = p + 4 - m. Calculate the remainder when 3 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -205 - -201. Sort 25, -4\/5, b.\nAnswer: b, -4\/5, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2 - -10120130?\nAnswer: 10120132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**6*v)**(-27))**(-2\/61) assuming v is positive.\nAnswer: v**(378\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22016 is divided by 775?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5 + -3. Suppose -r*t - 7 = 5*s - 1, -4*s + 5*t = 18. Let n be -1 + 3 + s + 48. What is the highest common divisor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 170643, 170634, 170609, 170562, 170487, 170378?\nAnswer: 170229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (43\/(-129))\/((-51)\/(-18))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4450048*c**4 - 2*c + 777369?\nAnswer: -53400576*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -11 = -37*p + 211 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of -1 and 0.8.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = 281011\/210756 - 1\/70252. What is the smallest value in 5, -4007, j?\nAnswer: -4007","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23\/2 of a millennium in centuries?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Put 5, 3, -4, 4, -194939 in increasing order.\nAnswer: -194939, -4, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 27419326 + 0.01.\nAnswer: 27419326.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0094076 tonnes in nanograms?\nAnswer: 9407600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = g**2 - 19*g - 92. Let w be y(23). Solve 2*o - 3 = x - 0*o, -4*o = w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-5)\/3*-3 + 88. Let o = 175 - x. Does 60 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 109 divided by 258504.\nAnswer: 109\/258504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 14 = -2*k - 2*k, -3*n - 4*k + 26 = 0. What is the remainder when 32 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6*2\/3*(-5)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*g - 2*n + 13244, 6069 = 3*g - 4*n - 7205. List the prime factors of g.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -1.7 * -0.141\nAnswer: 0.2397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -250155140 (base 6) to base 2\nAnswer: -10010001101100110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 21.2258712 to 0 decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 657869, 1315767, 1973665, 2631563?\n\"Answer: 657898*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by -175.\nAnswer: 3\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -20*r**2 - 1. Let f be l(1). Let c = 33 + f. Suppose -2*i - 2*j + 134 = 2*i, 5*i - 3*j = 184. What is the remainder when i is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 2, -1, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 7 (base 10) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qbr when three letters picked without replacement from rbqbbrbbqrbqxxbqb?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 1.8, -0.4, 5\/3, 5 in ascending order.\nAnswer: -0.4, 5\/3, 1.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 360 = 45*n. Let c be ((-27)\/6)\/((-399)\/28 - n). Solve 6\/7*l**3 + 0 + 2\/7*l**4 + 2\/7*l + c*l**2 = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -10229 - -24269. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -12*b. Let y(x) = -x**3 + 16*x**2 - 41*x - 81. Let j be y(12). Let l(o) be the second derivative of 1\/6*o**j + 0 + 0*o**2 + 6*o. Determine l(z(k)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -4*m**2 - 357*m + 2. Let g(y) = 2785*y. Give g(w(s)).\nAnswer: -11140*s**2 - 994245*s + 5570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 1*-3*(((sqrt(72) + 5)*5)**2 + -3)*3.\nAnswer: -21800 - 13500*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is c9 + 1?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*j - 8*j = 5*z + 19, 2*j = -2*z - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 109.51 + -108. Let w = a - 4.69. Round w to one dp.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-13)\/((-52)\/168) - -2. Let n be 1*(3 + (-140)\/a). Put -1\/2, n, -2 in ascending order.\nAnswer: -2, -1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the first derivative of -b**3\/3 + b + 1. Let g(o) = 3*o + 35. Let i be g(-12). Let s(h) = -h**3 + 2*h**2. What is i*s(p) - 2*l(p)?\nAnswer: p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = -15.6 - -16. Let r = -22 + 33. Let i = -8 + r. What is the third smallest value in i, b, 1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1460?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be 12\/(-16) - 46\/(-8). Suppose -r*n = -6*n + 3. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((sqrt(245) + 2*sqrt(245)*4 - (2 + 0 + sqrt(245))) + (3 + (sqrt(245) - 1*sqrt(245)))*4)**2 + -3.\nAnswer: 1120*sqrt(5) + 15773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 56*d - 12320. Determine n(220).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 248940749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i, 1 t, and 1 w when three letters picked without replacement from {i: 2, w: 1, t: 1, m: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*c - 1596 = 303. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -1\/194 (b) -5\/7 (c) -4 (d) -0.01 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21018 is divided by 20991?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -5*y**3 - 2*y**2 + 28927*y - 1261745 wrt y?\nAnswer: -15*y**2 - 4*y + 28927","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 12*d**3 - 1197*d**2 - 14763*d + 15948.\nAnswer: 3*(d - 1)*(d + 12)*(4*d - 443)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 11a8ad (base 14) to base 3.\nAnswer: 1010202110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let 9*w**2\/2 + 231189*w\/2 - 38532 = 0. Calculate w.\nAnswer: -25688, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 96 minutes before 6:09 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1\/2 - -5\/18. Which is the nearest to -1\/2? (a) 0.2 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes before 8:50 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o - 2*o = 0. Suppose w - 4*f = 0, 5*w - 3*f + 2*f - 19 = o. Let y(h) = h**2 - 2*h + 1. What are the prime factors of y(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = 3*n - 2*n - 14, 0 = 2*n + 3*x - 16. Suppose 9*i + 3*l + 3 = 7*i, 3*l = n*i + 33. Sort -5, i, 2.\nAnswer: i, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 444 a factor of 53112936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o be (13 + -22)\/9 - (-1)\/2. What is the nearest to o in -2\/7, 0.5, -2\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2061933 and 27?\nAnswer: 18557397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1 + 6a?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 338 and 975.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-22 - (-3 - (18 - 10))) + 31\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be (45\/(-3) - -1)\/(-14 - -12). Suppose -t*b - 5271 = -10*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = v. Let q = 27 - 12. Let a(w) = 6*w**2 + 15 - q. Determine a(h(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 95 = -4*a. Let i(p) = -p**3 + 10*p**2 + 14*p + 5. Let x be i(11). Calculate the highest common divisor of x and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d**3 - 127*d**2 - 258*d - 963. Calculate the remainder when 5955 is divided by s(-125).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4, 27, 68, 127, 204?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/7, -4, -536, 2\/7, -4\/9, -5 in decreasing order.\nAnswer: 2\/7, -2\/7, -4\/9, -4, -5, -536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 12955030 to the power of 1\/3, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -9*n + 41. Calculate the remainder when 415 is divided by h(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**2 - 3*q + 12. Let z be o(-5). Suppose -z*l - 16 = -6*l. What is the remainder when 17 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 + 2\/(-4) + (-3 - 29002\/(-4)) a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (6\/15)\/((-2)\/(-70)). Suppose -d = -5*c + 1. Suppose -2*u = c*u - 165. What is the greatest common divisor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c + 1. Suppose -5*z - 3*k + 5 - 32 = 0, 0 = -z - 4*k - 2. Let x be (-7)\/(21\/z) + -3. Suppose 6 = 4*t - 2. Let d(o) = o + 1. What is t*d(q) + x*j(q)?\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 201 = -2*u + 255, 366 = 4*m + 2*u. What is the remainder when m is divided by 38?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3400*v**2 + 3640*v**2 - 2531*v**2 to the form p*v**2 + y + o*v and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4281944 or 4281964?\nAnswer: 4281964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j + 1396 = -5*q + 1401, 4*j = 4*q - 44 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 519, 1.9, 1012.5 in increasing order.\nAnswer: 1.9, 519, 1012.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -5*p - 7. Let c(j) = 11*j - 19. Let v(n) = 13*n - 22. Let a(f) = 7*c(f) - 6*v(f). What is 4*a(g) - z(g)?\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - x = 2*x - 554, 0 = k - 4*x + 272. Let z = k + 146. Let t = 207 + z. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 416, -3, -1\/8, -2 in increasing order.\nAnswer: -3, -2, -1\/8, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5*d**4*f - 2*d**4 - 146*d**3*f + 5*d**3 + 1235*d**2 + d*f wrt d?\nAnswer: -120*d*f - 48*d - 876*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = n**3 + 6*n**2 - 2*n + 8. Let u be q(-13). What is the tens digit of ((-2)\/(-7) - u\/21) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.11 - 0.41. Let r = -263\/30 + 55\/6. Which is the closest to r? (a) -0.2 (b) -2\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/329760 and 101\/24.\nAnswer: 329760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 802277 is divided by 124.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((s + 2*s - s)*(-3 + 3 + 2) - 3*s + 5*s + 0*s - 3*s + 5*s - 4*s)*(-9662 + 9662 - 4030*s) to the form t + v*s + k*s**2 and give k.\nAnswer: -16120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 30194 and 4870?\nAnswer: 150970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 864\/(-504)*(-70)\/220?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = h**3 - 5*h**2 - 4*h - 4. Let l be n(6). Suppose -l = 6*a - 7*a. Solve -3*x + 4 = -a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wee when three letters picked without replacement from {w: 1, p: 4, m: 4, o: 9, e: 2}.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -29*h**2 - 62*h**3 + h**6 + 10*h - 13*h + 3*h - 112*h**3 wrt h.\nAnswer: 120*h**3 - 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 541 (base 7) in base 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 644257467*d**2 + 116726758*d + 3.\nAnswer: 1288514934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 17 (base 9) to base 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -46\/3 or -16?\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) be the first derivative of -v**3\/15 - 31*v**2\/5 + 63*v\/5 - 632. Solve f(z) = 0.\nAnswer: -63, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 2002120200121 (base 3) to base 7\nAnswer: 12315616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2936*g + 540*g + 104280 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, -15, -0.4, -2\/49, -2\/9 in descending order.\nAnswer: -2\/49, -0.2, -2\/9, -0.4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.03 - -8.03. Let b = c - 7.999993. Round b to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from {k: 2, z: 6, o: 9, u: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = -18 - -24. Suppose -c*d - 359 = -1295. Suppose 0*a + d = 4*a. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7 + -6. Suppose 0 = -l + o - 5. Let n(s) = -162*s - 3236. Let h be n(-20). Put -7, l, h, -5 in increasing order.\nAnswer: -7, -5, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 333 divided by -8.\nAnswer: -333\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-106)\/8 + 325\/25?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m**2 - 3*m - 1. Let g(i) = i**2 - 3*i - 1. Give 4*a(h) - 3*g(h).\nAnswer: h**2 - 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o + 10. Let f be b(10). Let x be (27 + -10 + -18)*5*-1. Suppose f = t - 28 + x. Calculate the remainder when t is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a**2 + 8*a + 9. Suppose r + 5 = -0. Let l be i(r). Let w(y) = 6*y**2 - 5*y + 3. Let n(d) = 5*d**2 - 1 + 2*d**2 - 6*d + 5. Calculate l*w(j) + 5*n(j).\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b and 1 y when three letters picked without replacement from yyyyybbbybyybbbbyyyb.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 97943397?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1\/412 - -2459\/5356. Is -0.9 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 405 minutes before 5:41 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 36.85 * 2.\nAnswer: 73.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s = -19*k + 38, -1024*s + 1026*s + 4 = 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the third derivative of -3*c**4\/8 + c**3\/2 + 3*c**2. Let o(k) = k. Let j(d) = -a(d) + 3*o(d). List the prime factors of j(6).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 412.93 + -411. Let c = -0.07 - f. Let o = c - -4. Put 4, o, 1 in ascending order.\nAnswer: 1, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 2, e: 2, g: 1}. What is prob of sequence eyg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 6111 divide 452248386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yyyyyyoyyoyy. What is prob of sequence yyy?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 18 = 5*z - 2*z, 0 = z + 4*h + 14. Find the second derivative of -168*m + 49*m**5 - m**3 - 92*m + 74*m - z + m**3 wrt m.\nAnswer: 980*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d**2 - 5*d + 20. Suppose 0 = -3*v - 3, -3*v - 8 = 5*a. Find the common denominator of (a - -2) + (-112)\/18 and y(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-11)\/(2277\/(-18)))\/(200\/(-4600))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 87?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 98 divide 351134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 2 (c) 0.5 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2 (b) -9469 (c) -2\/11 (d) 3\/8 (e) 0.1 (f) 81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c + 0*c = 320. Suppose 0*y - c = -4*y. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 58*m**2 - 17*m. Let p(f) = 575*f + 1. Calculate p(j(t)).\nAnswer: 33350*t**2 - 9775*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 8 - 2*l + 1)*(64 + l**2 - 31 - 35) to the form j*l + d + k*l**2 + t*l**3 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-81)\/24)\/(11\/((-44)\/6)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 190 - -a92?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 66 and 103033722.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Do -11 and -33474\/2935 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 243954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 76 - 2?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -115, 38076, 4, -14 in descending order.\nAnswer: 38076, 4, -1, -14, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -66679, -66621, -66565, -66511?\n\"Answer: -j**2 + 61*j - 66739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2970.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7.9 + -8. What is the closest to d in -2\/23, 0, -4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16180231 - 1831.2?\nAnswer: 16178399.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -20 (base 14) in base 7?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*z**2 - 5*z**2 + 14*z**2)*(2*z - 65*z + 91*z + 113*z + 74*z).\nAnswer: 1290*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 418\/3 in 6, -1, 1, -1\/22, 1\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 105+-37\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -26*i**3 - 2*i**2 + 1. Suppose 3*q + 2 = -1. What is the units digit of l(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2943*z + 24*z**2 + 2943*z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -72 take away -107265764?\nAnswer: 107265692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of h**2*x - h**2 - 12866*h*x + 2*h + 2*x - 70643 wrt h?\nAnswer: 2*h*x - 2*h - 12866*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000830902531 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4282 - 4242. Let m(y) = 50*y**2 - 40. Let q(u) = -u**2 + 1. Determine g*q(l) + m(l).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o - 0*r + 5*r - 13, -5*o + 3*r + 1 = 0. Solve -5*s - 7 = b + o*b, -3*s = 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 3 + 1)*(2*b + 4 - 4)*(3 + 0 + 10) + (b - b - b)*(-3 + 5 + 0) - 5*b + b + 3*b + 2*b - 2 + 2.\nAnswer: 51*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*j - 118 - 100 = -188. Let b = -6 - -4. Let f = b + 5. Solve j*z - z = f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2314047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = 16.892 - 16.7. Let c = -0.192 + l. Put c, -10, -5 in descending order.\nAnswer: c, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n**3 - 7*n**2 + 7*n + 2. Let h be a(-8). Suppose 4*k + j + 4*j = -16, h = 2*k - 2*j. Solve -k - 15 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/11 in 2\/9, -2\/13, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 20147.8, -2\/5.\nAnswer: -2\/5, 0, 20147.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (((-8)\/(-32))\/(1\/(-6)))\/(-1)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -z**3 - 14*z**2 - 19*z + 2. What is q(-12)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 13 + 11 + -27 + 10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000118710865 to seven dps.\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.21 - 0.61. What is w rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 106bca5 - 4?\nAnswer: 106bca1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c + 18 - 26 = -2*t, -2*c - 4 = -4*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -15 - -19. Let c be 37*f\/((-8)\/(-2)). Let l = -15 + c. What is the greatest common factor of 55 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -127*l + 7*l**2 + 259*l + 1 - 133*l. Determine s(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = 3*r - 10. Let p(t) be the second derivative of 0 - 1\/2*t**4 + 5\/6*t**3 - 1\/2*t**2 + 6*t + 1\/20*t**5. What is p(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 5 + 44\/(-9) + 445\/45. Let n(y) = -3*y + 12. Give n(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/21? (a) -1\/7 (b) 9 (c) 90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -587377, -1174909, -1762439, -2349967, -2937493?\nAnswer: -3525017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -110 - 1?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1)\/((-12)\/92*1)*3. What is the highest common factor of 4324 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -1158da (base 14) to base 15\nAnswer: -ba4d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(104)\/(sqrt(72) + sqrt(8) - sqrt(8)) - (-1 + 2*sqrt(13)) - sqrt(65)\/(sqrt(720)*-2 - sqrt(720)))**2.\nAnswer: -59*sqrt(13)\/18 + 46549\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 96 and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Subtract 2 from 104.8276859933.\nAnswer: 102.8276859933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -x**2 + 2*x**4 + x**2 + (-580*x**2 + 30*x**4 + 580*x**2)*(-6 - 1 + 1)*(-2 + 2 - 1) in the form i*x**4 + k*x**2 + o + d*x + t*x**3 and give i.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0 + 5 + (-3 - -1). Find the common denominator of -2\/5 and b\/7 - (-1945)\/280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -90 + 132. Let r = 643 + -545. What is the greatest common factor of r and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4*(18 + (-666)\/36)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (4 - 8 - -4) + -2 + 4. Suppose -c + o = -u, -4*c + 0*u = 4*u - 16. Solve -2*y = n - 3, 0*y = 3*y + 2*n - c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6*k**5 + k**4 - 901*k**2 + 72306*k wrt k?\nAnswer: -120*k**3 + 12*k**2 - 1802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 3, e: 4, k: 2, r: 2, o: 3, w: 2}. What is prob of picking 1 k, 1 e, and 2 o?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 4*y**3 + y**2 + y - 1. Let a be n(1). Solve -t = 2*t - 4*h + 7, 5*t + a*h = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-9\/2)\/w)**(10\/7) assuming w is positive.\nAnswer: w**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 70 - 36. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) be the first derivative of m**6\/60 + 11*m**5\/75 + 7*m**4\/15 + 8*m**3\/15 - 7*m**2\/2 + 3. Let h(o) be the second derivative of w(o). Factor h(f).\nAnswer: 2*(f + 2)**2*(5*f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1571.9999323 + -1572. What is a rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-22)\/((-198)\/18)*10\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -s - 1 - s**2 + s - s**2 as i*s**2 + g + j*s and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10\/7 + -96\/77. Let n = -0.07 - -0.07. Let l = 1 + -2\/3. Which is the nearest to 0.2? (a) l (b) r (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 706 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -331 + 2?\nAnswer: -32c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((3\/369)\/((-25)\/(-15)))\/(87\/1740).\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + -2 + 4 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {a: 1, p: 1, j: 1, o: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = -817\/195 - -51\/13. Suppose -3*d = -4*p + 5 + 10, -4*d = -3*p + 20. Suppose -2*x = 4*f + 6, p*f - 4*f + 3*x = -19. Which is smaller: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 725 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 51 = k, 5*v - 5*k - 323 + 68 = 0. Is v a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 341 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.07559 - -0.2.\nAnswer: 0.12441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -6*y**2 - 2*y - 3. Let w(j) = 4*j**2 + j + 1. Let t(u) = -3*u - 2*u**2 + 3*u**2 + 3*u. Let a(g) = -3*t(g) + w(g). Give -4*a(v) - z(v).\nAnswer: 2*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4739?\nAnswer: 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = -y + 2, 6 = -c + 5*y. Let w be c - ((-20)\/(-18) - 2). Let i = -8.4 - -8. Sort i, -0.2, w.\nAnswer: i, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7303.137 micrometers in millimeters?\nAnswer: 7.303137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 5 (b) -64 (c) -3\/6835\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 288640, 577178, 865718, 1154260?\nAnswer: 1442804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((-2*(sqrt(209) + ((sqrt(209) - sqrt(209)*-1) + sqrt(209) - sqrt(209))))\/sqrt(11) + 1).\nAnswer: -3 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-5)\/(10\/(-48)) - -2. Let i(n) = -6*n - 89. Let x be i(-13). Let p = r + x. Is 15 not equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.8 take away -668341.695162?\nAnswer: 668340.895162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 39 divide 8853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 54241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 230 = 2*o, -3*i + 4*i = 5*o - 630. What is the greatest common factor of o and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-2\/11)\/v)\/v**(-5))\/(((v*v\/(v\/v**(-6\/11)*v)*v)\/v)\/v**3) assuming v is positive.\nAnswer: v**(81\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 251551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 1, w: 2, t: 2, b: 1, p: 1}. Give prob of sequence bwt.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -27528, -27584, -27720, -27972, -28376, -28968, -29784, -30860?\nAnswer: -32232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the second derivative of 0*h**2 + 1\/12*h**4 + 0 + 1\/30*h**6 + 0*h**3 - 1\/10*h**5 - 9*h. Factor g(q).\nAnswer: q**2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/30 - 122*4\/(-120). Let b(r) be the first derivative of 9 + 0*r + 0*r**3 + 5\/4*r**v + 5*r**2. Find the second derivative of b(d) wrt d.\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 8 by -2864.\nAnswer: -1\/358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 436126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 10 (base 6) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -2*p + 4 - 6 + 3*p. Let r = 3 - -2. What is the units digit of u(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8, 28, 68, 112, 160, 212?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of t**2 - 118 + 74*t + 79 - 448 wrt t.\nAnswer: 2*t + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 10 in -4, -27, -14701, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 61*o**2 + 2200*o + 6472. What is l(-33)?\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -3*u + 61. Let f(v) be the third derivative of -v**4\/12 + 5*v**3 - 18*v**2 - 8*v - 1. Give -7*f(d) + 4*r(d).\nAnswer: 2*d + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t**3 - 3*t**2 - 5*t + 1. Let v be (18 + -14)\/(0 + 1). Calculate j(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3298789607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 560 minutes before 8:17 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:39 PM and 11:21 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1160\/(-464)*(-60)\/8*(-96)\/75?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1026 + -1023. Suppose x = 4*q + 132, q + 108 = -2*q + 3*x. Sort -1, d, q.\nAnswer: q, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -46 - -36. Let t = -37209\/8 + 4660. Calculate the common denominator of t and (7\/2)\/(g\/(-28)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(0 + (-1*sqrt(171)*-3*-1)**2*1)*-4.\nAnswer: -24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -6*a - a - a**2 + a - 4 + 0*a. Suppose -5*x - 3*l - 16 = 3, 5*x + l = -23. Let z be u(x). Sort -2, z, 4 in descending order.\nAnswer: 4, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 385806 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*v**2 + 3*v**2 - 2*v**2 + (v**2 - 3*v**2 + 4*v**2)*(-4 + 0 + 0) + 2*v**2 - 2*v**2 - v**2 to the form z*v + g*v**2 + d and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 12616 and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 96632?\nAnswer: 2, 47, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2 - ((-6)\/(-3) - 2). Let v be (18\/27)\/(l\/(-9)). Suppose v*u - 2 = 7. Solve 0*h - h = -u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (220\/(-154))\/((-3)\/(-21)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d + 9. Let b(h) = -h**2 - 13*h - 6. Let t be b(-7). Suppose t = -2*r - 2*r. What is the units digit of w(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (12 - 5) + -2 + -1. Suppose m = -w*y + 22, 2*y - 10 - 10 = 4*m. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 397864555 divided by 7233901?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, -0.0292, 199.\nAnswer: -0.0292, 7, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -2 times 154189\nAnswer: -308378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 20757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -426*v + 114. Let u(i) = 90*i - 23. Let k(g) = 19*u(g) + 4*x(g). What is k(5)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 354 and 35105.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 90826935 is divided by 510?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -655 + 655 - d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = 37.96 + 0.04. Let d = -38.11 + h. Round d to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -45477 + 92096. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 633*q + 19*q**2 - 633*q. Let g(h) be the second derivative of 1\/6*h**3 + 0*h**2 - 10*h + 0. Determine t(g(b)).\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**2 + 3*y - 8. Let o be d(3). Solve 0 = -5*n + w + 16, -w - o = -2*n - n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -41*j - 6*j**3 + 15*j - 5*j + 7*j**3 - 265*j.\nAnswer: j**3 - 296*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*g**3 - 15*g**2 + 25*g + 30 = 0. What is g?\nAnswer: -2, -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -23 - 2*(-17 - -16)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 2058\/735*(-120)\/21\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/m**1)**(-4\/7)*m**9\/m*m**6 assuming m is positive.\nAnswer: m**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -31, -5, -36, 2, -1, 94 in descending order.\nAnswer: 94, 2, 0, -1, -5, -31, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 41911839 to the power of 1\/2, to the nearest integer?\nAnswer: 6474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -3*t**3 + 3*t**2 + 2*t - 4. Let p be y(2). Let z be (5 + 8\/(-2))*p. Let u = -1 + z. Is u <= -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 65873 and 58273?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 3*j**2 - 74*j - 339. Let c be w(35). Calculate the greatest common divisor of c and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 3*x**2 + 42*x - 3. Let z be j(-14). Let s(n) be the first derivative of n**3\/3 + 3*n**2\/2 + 4*n - 1. Let h be s(z). Solve 0*i - h = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000691978 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-32)*(8 - 12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -1304 divided by -4\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -50 + 2 - (-552 - -500).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -80 + -18 + -235 + 290.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 15225 - 15176. Suppose i - m - 16 = 0, -76 + 22 = -4*i + 2*m. Calculate the remainder when b is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 2360 times 44440\nAnswer: 104878400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z - 17 = 2*z + 4*s, -3*z - 34 = 5*s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4288218386.\nAnswer: 2, 2549, 841157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = -2*q - 2*q - 403, 3*q - 504 = -4*h. What are the prime factors of h?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 262 + -155. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -49 + 44 + (12 - -2). Suppose -2*p + 51 = -n. What is the highest common divisor of p and 555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(2057)*-1 - (0 + sqrt(2057) + -3))*5)**2 + ((1*4*sqrt(153))\/(sqrt(144)*4 + sqrt(9)))**2.\nAnswer: 3841\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2180.4 - 1979. Let f = 211 - q. Round f to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -2*m. Let s(k) = -18*k - 8*k + 125*k + 71*k. Calculate s(i(n)).\nAnswer: -340*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 21\/8 of a decade?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + 7 + 0 + -5 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -143*f**3 + 73*f + 14 wrt f.\nAnswer: -858*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -148699.8831 + 148722. Let h = 22.1 - t. Round h to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -7, 14 in decreasing order.\nAnswer: 14, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 95 divide 3364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 17, y: 2}. What is prob of picking 2 c and 2 y?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of -8 and -60.\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/1225 and ((-1)\/(20\/(1 - -1)))\/(477\/9964).\nAnswer: 11025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k**5)\/k**0*((k*k**(-1\/3)*k*k)\/k)**(1\/53)*((k**(1\/4))**(-47))**(-12\/11) assuming k is positive.\nAnswer: k**(32968\/1749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s**3 - 23*s**2 + 44*s - 20 = 0 for s.\nAnswer: 2\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*v**2 + 11*v**5 - 6*v**2 + 0*v**5 + 3*v**5 - 4*v**5 + (2*v + v - 6*v)*(-4 + 4 - 4*v**4).\nAnswer: 22*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:05 PM and 3:27 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/(-2))\/(30\/12)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 429258291.\nAnswer: 3, 7, 11, 1858261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(1\/4))**(-4))**7 assuming m is positive.\nAnswer: m**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20*n - n + 12*n.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is g in -g**5\/4 + 401*g**4\/4 - 10097*g**3\/4 - 401*g**2\/4 + 5049*g\/2 = 0?\nAnswer: -1, 0, 1, 27, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.19415 and 4.\nAnswer: 0.7766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 123 - 28. Let v(u) = -u**2 + 13*u + 12. What is the remainder when y is divided by v(13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2010202120021 - 2?\nAnswer: 2010202120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = w - 7. Let z be j(6). Sort z, -5, 2, 0 in descending order.\nAnswer: 2, 0, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 55*k + 27 = -303 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5700 and 21777762?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 897937 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be 70\/21*12\/10. Suppose 4*f - 5*x = 3*f - 1, 0 = -4*f - h*x - 28. Is (2\/f)\/(2\/(-1398)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-21)\/7 - -236)*1. Let n = x + -226. Solve 10 = -y - 5*z, 0 = y + 2*z + n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10874\/3 - -3625. What is the nearest to 0.1 in -9, 6, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*c - 14*c + 152656*c**2.\nAnswer: 152656*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 4*j - 63. What is v(12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/(-4)*(1 + -1 + 0). Let u(z) = -2*z**2 + 2*z + 12. Let d(j) = -j**2 + j + 1. Let q(k) = 3*d(k) - u(k). Calculate q(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5 - -25. Suppose -3*s - s = 0. Suppose s*t + 4 = t. What is the highest common factor of w and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1\/10, -4, -0.3, 3, -4\/3, 69.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 219043000 to the nearest integer?\nAnswer: 14800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = -108 + 106. Which is smaller: 3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 39552.28 millennia in centuries?\nAnswer: 395522.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 1, u: 8, h: 2, l: 4}. Give prob of picking 1 h and 1 r.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-172)\/(-220) + (-30)\/50\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 2*n**2 - 7*n + 3. Let j be a(3). Suppose 3*l - 3*x = 6*l - 90, j = -2*l + x + 75. List the prime factors of l.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 8816 and 7600?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that 0 - 14\/17*k**2 + 10\/17*k**3 + 4\/17*k = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the second derivative of -13*q**7\/14 + 29*q**3\/6 + 3*q**2\/2 - 2*q - 598. What is the second derivative of r(o) wrt o?\nAnswer: -780*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -29134 - -29134.8. What is the biggest value in k, 7\/4, -0.1?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (96 - 10) + (214 - 226)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/(1\/6*-2) - 0. Let p(l) be the first derivative of 5\/4*l**4 + 0*l + 2*l**m + 2 + 0*l**2. Find the third derivative of p(t) wrt t.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -1*(-5)\/((-5)\/6). Let u = -4 - s. Suppose 12 = 5*c + u. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -197*b = -202*b + 2*d + 16, -5*d - 2 = -3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 1, o: 8, y: 2}. What is prob of sequence oyy?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Let f**3\/6 + 841*f**2\/6 + 36440*f\/3 + 88288 = 0. What is f?\nAnswer: -744, -89, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(85) - (sqrt(85) - (sqrt(85) + -5*(sqrt(85) + sqrt(85)*-2 - sqrt(85)))))\/sqrt(5) + 1.\nAnswer: 1 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**3 - 22*x**2 + 39*x + 23. Let s be w(20). Suppose -v = 2*u, 9*u - 4 = -s*v + 4*u. What is the remainder when 26 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*a - 4*a - a + (-4 + 2 + 1)*(a + 0*a - 2*a) + 2*a - 4*a + 3*a - 4*a - 9*a + 12*a)*(-69*a - 220*a + 74*a).\nAnswer: -430*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -1089 (b) -4 (c) 4.75 (d) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*h + 140*h**2 - 39*h**2 - 1299 - 1765 - 837*h**2 - 1829 with respect to h.\nAnswer: -1472*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5 - -10. Suppose 0 = -q + 3*v - 9, w*q - v = -6 + 17. Suppose 10 = 2*y + q*m, -5*y + 20 + 31 = m. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 1858380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -6.7 minus -0.843?\nAnswer: -5.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4607)\/12195 - ((-949)\/390 - (-3)\/(-18))?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u + 30*i + 76205, -3*u + i + 4510 = 50062. Is u bigger than -15186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -51*u**3 + 123*u**2 + 131*u - 53. Let h(a) = 25*a**3 - 61*a**2 - 65*a + 27. Let f(q) = -5*h(q) - 3*j(q). Factor f(p).\nAnswer: 4*(p - 3)*(p + 1)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1151.705 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*h - 27 = 17*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4 and 1350?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 8 = l + 3*j, 4*l + 5*j + 21 = 0. Let m(w) = -w**3 - 3*w**2 + w + 9. What is the remainder when m(l) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the third derivative of n**6\/15 - n**4\/24 + 5*n**2. What is the second derivative of l(w) wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9265*w = -9267*w - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 144232 (base 5) to base 13\nAnswer: 2a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -a58 - 19?\nAnswer: -a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand 213*n + 532 - 532 + 7 + n - 4 + n + (-1 - 1 + 3)*(-3 + 3 + 2*n).\nAnswer: 217*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the first derivative of f**2 + 22. Let p(z) = z + z + 0*z. Determine p(w(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -h = -4*g + 6 + 5, g + 4*h = 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -m**3\/2 - 103*m**2 + 1069*m\/2 + 1477.\nAnswer: -(m - 7)*(m + 2)*(m + 211)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be 662\/5 + (-22)\/55. Suppose 0*i + x = 4*i. What is the remainder when i is divided by ((-6)\/10)\/((-40)\/600)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3210 and 133935.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a be (4 + -3)*(-1 - 6). Let v(u) = 8*u**2 + u**3 + 0*u**3 - 2*u - 3*u. Let j be v(a). What is j rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 1\/3, 5.9, -0.43?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*p + 45*p - 107 = 109 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the second derivative of d**5\/5 - d**4\/3 - d**2\/2 - d. Let t(m) = -15*m + 96. Let b be t(6). Is l(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3732 is divided by 107?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1906 - 924. Is u*-2*3\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6 + -6. Let k = -55 - -54.96. What is the nearest to -1 in k, t, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3bc8b1 (base 14) in base 5?\nAnswer: -1012230244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = -w + 6, z - 2 = -4. Solve -w*v = 3 - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3584 and 54110336.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.2, -1\/2, -2\/7, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - 0 - (5 - (-1 - -1 - 0)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s**2 + 2720415*s - 2720410 = 0 for s.\nAnswer: 1, 544082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is (-5374)\/(-10) + (1 - 7\/5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3\/5, -3, 1\/54, 2\/35?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 366 minutes before 10:51 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kkhhkkk. What is prob of picking 3 k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -3*f - 4. Let a be h(-4). Suppose a*p - b = 4*p - 3, -2*p + 6 = -2*b. Let o be p*10*2\/(-4). What is the highest common divisor of 15 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 110 a factor of 39160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 1760 divide 19677349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 531, 941, 1231, 1401, 1451, 1381?\nAnswer: 1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 45210 is divided by 22600?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 + -17. Let u(p) = 16 + p**3 - 10*p**2 + 7 - 18*p + 25*p**2. Let a be u(l). What is a rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14623075?\nAnswer: 5, 584923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 8.24269029 rounded to 3 dps?\nAnswer: 8.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 2, 22, -64, 774.\nAnswer: -64, -6, 2, 22, 774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -w**3 - 9*w**2 - 2*w. Let b be v(-9). Suppose -3*r = 2*z + 19 - 68, -z + 16 = r. Which is smaller: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 3*i - 26. Let c be 11\/(-11) - (-10 - -1). Let k be x(c). Do -2 and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5278 and 7163.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -608 - 0?\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10 - 14 + 4 + 2*d**2 + d to c*d + p + i*d**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2436 + 2596. Calculate the greatest common factor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -h + 0*h + 1 + 0*h + 66 to the form z + i*h and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from njonjnnpn.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/((5\/(-1))\/5)*17953\/2762.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1455 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9617, 9611, 9601, 9587, 9569, 9547?\nAnswer: 9521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 697706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*g**4 - 5 - 5*g**3 - 4*g**4 + 4*g + 6*g**3 + 2*g**2 - 16*g + 7 to the form f*g**2 + t*g**4 + o + m*g + v*g**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2531880066 to the nearest integer?\nAnswer: 50318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 29849 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 598089849 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 54016 is divided by 18002?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**10\/r*r*r**6*r*r*r*r*r*r**1*r**(-6\/11))**(-46) assuming r is positive.\nAnswer: r**(-10856\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (90\/(-8))\/(-3)*(-240)\/270?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 115939 - -130830. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 23 + -17 - (-3 - (-4 + -9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-80)\/(-50)*(-21)\/(168\/(-160))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = 2*o**2 - 3*o - 3. Let g(s) = 14*s - 2*s**2 - 4*s**2 + 14 - 4*s**2 + 0*s**2. Calculate 3*g(d) + 14*y(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00001046687 to 7 dps.\nAnswer: 0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-v**2 + 0*v + 0*v)*(-5*v + v + 5*v) + 2528*v**3 - 1346*v**3 - 1410*v**3.\nAnswer: -229*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -21184, -21160, -21138, -21118, -21100, -21084, -21070?\nAnswer: -21058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3 + 3. Suppose 14*c - 10*c + 3*i - 20 = 0, -5*c - 3*i + 22 = y. Suppose -27 = -c*h - 9. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the third derivative of -v**4\/24 + 3*v**2. Let y be (143\/11 - 9)*(-10)\/(-8). Let n(c) = y*c + 4*c - c. Calculate p(n(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = -m + 102. Suppose 3*k + 2*s = m, -5*k + 3*k + 4*s + 34 = 0. Let n = 494667 - 494643. Solve -3*p + k = 5*v, p - n = -4*v - 4*p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3229379878.\nAnswer: 2, 19, 84983681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(12)*2)\/sqrt(6) + (sqrt(8)\/sqrt(16) - -6*(0 + sqrt(2))**2).\nAnswer: -7*sqrt(2)\/2 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6156\/(-94392))\/((-15)\/2).\nAnswer: 1\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -17*g + 18. Let u be j(4). Let i be 23\/4 + u\/(-40). Solve y = -2, -5*z = 3*y + 3 - i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 32\/18*(-3)\/(-4). Let a be (-60)\/16 + -1*(-8 - -5). Put a, -6, y in decreasing order.\nAnswer: y, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 109 + -112 - (10 - -19)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 143556 by 6.\nAnswer: 23926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2 + -4 + (-4)\/(-2). Suppose 2*i + i = o. Let u(s) = s**2 - s + 27. What is the tens digit of u(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -13 - -13.2. What is the second smallest value in w, 0.3, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n - 25 = a, n - 801*a = -804*a - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 85, 7, -3, 18, 1, 2 in descending order.\nAnswer: 85, 18, 7, 2, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m. Suppose -50 = -5*d - 3*w + 17, 3*w + 3 = 0. Let f(q) = d + 1 - 13. Determine -f(o) + 6*p(o).\nAnswer: -6*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -128*d**2*q**3 - 2*d**2 - 808*d*q - 48*q**3 - 3 wrt q.\nAnswer: -768*d**2*q - 288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -231*k - 376. What are the prime factors of l(-4)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -285*u**2 + 237*u - 9. Let d(l) = 71*l**2 - 59*l + 2. Let m(v) = 9*d(v) + 2*k(v). Find the second derivative of m(t) wrt t.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*q = 3*q + 15. Suppose q*n + 0 = 18. What is the remainder when (-4 - -7) + -4 + 11 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*p - 2*j - 8 = 5*p, 5*j = -4*p - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3\/4324 - 652939\/21620. Let p = -30 - c. Let h = 32 + -32.4. Put 0.4, p, h in descending order.\nAnswer: 0.4, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = n + 5. Let w be j(-2). Find the second derivative of -8*v**3 + v + 4*v**w - 8*v**3 wrt v.\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 10, m: 10}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 447*i**2. Let n(d) = -432*d**2. Calculate n(x(w)).\nAnswer: -86317488*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i**2 + 3*i + 7. Let j be s(5). Suppose -3*u - 4 = 2*r + u, u = r - 4. Let a = r - j. What is the third biggest value in -3, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -77\/8595 and 101\/140.\nAnswer: 240660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2406 + 467 + 459 = -833*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5 - -5. Suppose 680005 = -4*u - l, -u = -w*l + 2*l + 170010. Round u to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuuuuuuummuuuuuuuuuu. Give prob of sequence um.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-160)\/24 + (-4)\/(-6). Let i be (6\/(-75))\/(a\/30). Determine r, given that -2\/5*r**2 - i*r + 2\/5 + 2\/5*r**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 17 = 4*l, l + 4*a = -0*l - 18. Suppose 0 = -0*o + 6*o - l*o. Find p, given that o + 4\/9*p**2 + 4\/9*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the third derivative of 5\/6*a**3 - 2*a**2 + 0*a + 0 + 3\/8*a**4 - 1\/120*a**6 - 2\/15*a**5. Let u be y(-9). Solve 0 = u*v - v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f - 5. Let v be k(-7). Suppose v*q - 20 = -0. Calculate the remainder when 35 is divided by 0 + (1 - -1) + q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -22 (base 3) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = a**2 + 8*a + 9. Let w be y(-7). Let u = 8 + w. Calculate the smallest common multiple of u and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*t**3 - 1118 + 8*t**3 + 0*t**3.\nAnswer: 2*t**3 - 1118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 21043729149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 156618.\nAnswer: 2, 3, 7, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2092191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -56*d**2 + 57*d**6 - 54*d**2 + 233*d**2 - 65*d**2 wrt d.\nAnswer: 6840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -447*l - 7608. Give n(-17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1.80864l?\nAnswer: 1808.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 574241951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*r + 25*r = 32. Solve -1 = -t + f - 4*f, r = 2*f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 67 minutes after 4:27 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 103 minutes after 7:26 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.096 minus -0.1456255100606?\nAnswer: 0.0496255100606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from jooojjaoajqgjoo?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 432118992 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 464 and 442424?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -30012 (base 4) in base 14?\nAnswer: -3d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2878*k**2 + k + 17460.\nAnswer: 5756*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -345\/148, -6\/11, -0.2, 2 in descending order.\nAnswer: 2, -0.2, -6\/11, -345\/148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 86920732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 24776 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1496 and 1563.\nAnswer: 2338248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:18 AM and 5:47 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**2 - 18*h - 11. Let w be k(19). Which is bigger: w or 7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 205, -22, -43 in descending order.\nAnswer: 205, -22, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -25.061398904453 - -1\nAnswer: -24.061398904453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 5 = -3*c + 5*a, -2*a - 70 = -4*c. Let w = 25 - c. Solve -3*u + 10 + w = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*v**2\/7 + 48933*v\/7 - 635622\/7.\nAnswer: -3*(v - 16298)*(v - 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 10592592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (-8 - -36) + (155 - 204)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 44\/(-10) - (2 - (5 - -1)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 744 and 600?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 2*r = -16, -3*f + 4*f - 4*r - 11 = 0. Let j(l) = -3*l - 6. Let v be j(-4). Let k = v + f. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 574, 590, 608, 628, 650, 674?\n\"Answer: p**2 + 13*p + 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are 0.07 and 3\/899 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16, -27, -32, -31, -24, -11, 8?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 98 - 254. Suppose w = -0*w + 3*b - 11, -5*b = -4*w - 9. Is 30 a factor of 3\/((w\/j)\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.167 + -35.533. Let c = 36.23 + z. Which is smaller: 0.1 or c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by -140502186.\nAnswer: 1\/46834062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**2 - 201*w + 2272. Calculate s(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*6*(sqrt(209) - (sqrt(209) - sqrt(209)*-1))*6)\/((sqrt(11) - (1*sqrt(33))\/sqrt(3)) + (sqrt(88)\/sqrt(2) + sqrt(44))\/sqrt(4)).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 24 = -35*p + 27*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + 2 + (9 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o**3 - 8324*o**2 + 3754076*o - 3745756 = 0 for o.\nAnswer: 1, 659, 1421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 1542, -50, 1, 2 in descending order.\nAnswer: 1542, 2, 1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 + 9 = 3*g. Let k(v) = 3 + v - 2 + g. What are the prime factors of k(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-t - 2*t + 4*t)*(2*t**2 - 5*t**2 + 2*t**2) + (-3*t**3 + t**3 + 4*t**3)*(-1 - 3 - 6).\nAnswer: -21*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -292, -591, -888, -1183, -1476, -1767, -2056?\n\"Answer: b**2 - 302*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2523500 (base 6) in base 14?\nAnswer: 375c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.1 and 5315.\nAnswer: 5315.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1912218\/20695)\/(11\/5).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 430 = 5*y + 5*d, 4*y - d + 6*d - 344 = 0. What is the remainder when y is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h*h**1)**48*(h**4\/h)\/(h*h**3))\/((h**(-2\/5)\/((((h*h**(-2\/21))\/h*h)\/h)\/h))\/((h**4*h)\/(h**(-3)*h))) assuming h is positive.\nAnswer: h**(15677\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(4\/5)\/(z**15\/z*z)*z**(-2\/43)*z**(2\/9) assuming z is positive.\nAnswer: z**(-27137\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1105 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 225 and 2701845?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 1 + 0)*(40072*p + 40063*p + 4*p**2 + 5 - 80162*p).\nAnswer: 8*p**2 - 54*p + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*t + 0*t + 1467 + t - 4*t + 0*t to the form b + y*t and give b.\nAnswer: 1467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 272725290 is divided by 30302810.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 47261 and 4843.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 73 at least as big as -3010.55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 38486291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1024)\/(-11520)*(-10)\/4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 838.5717ml in litres?\nAnswer: 0.8385717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is q in -q**5\/7 - 4*q**4\/7 + 2*q**2 + 17*q\/7 + 6\/7 = 0?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 83 - 61 - (80 - (-6 - -15)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*i - 5*i - 9. Let k be (8 - 0) + i\/3. Let c(m) = -m + 8. Let f be c(9). Sort 0, k, f.\nAnswer: f, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -260, 287, 2 in ascending order.\nAnswer: -260, 2, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 0.8, -58 in decreasing order.\nAnswer: 5, 0.8, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13 + (-15 + (1 - -7) - -37)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2012012 - -212212?\nAnswer: 10002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18974878.\nAnswer: 2, 13, 271, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -72 = 87*u - 96*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 + 2.05. Let g = 0.06 + l. Let b = 0.1099928 - g. Round b to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 2*a - 1)*((2*a + 2*a - 5*a)*(3 - 4 - 1) - 7*a - 11*a + 2*a) to the form m + s*a + q*a**2 and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r\/(r*r*r**(-1))))**(1\/2)*r**(-1\/2)\/(r**(10\/9)\/r) assuming r is positive.\nAnswer: r**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*n - 143 = 20*n. Does 16 divide 2 + -4 - (n + -26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 6*x**2 + 2395*x + 201916. Calculate u(-121).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -8 by 117416.\nAnswer: -1\/14677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 6515, 52064, 175669, 416360, 813167?\n\"Answer: 6505*a**3 - 2*a**2 + 20*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mehmhmhe.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 2 - 1 - 3 + 3 + (-1 - 1 + 3)*(-2 + 5 - 1))*(-24*v + 12*v - 9*v).\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -49.1 (b) 0.1 (c) -0.76 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 3*w**2. Let b(n) be the first derivative of -n**3\/3 - 3. Determine -2*b(a) - f(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from {h: 3, d: 2, y: 2, k: 6}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v + 2 - 3 = -5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) 0.1 (b) 1.1 (c) -0.3 (d) -25\/3 (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -14 + 16. Let s be 133\/21 - j\/(-6). Suppose -s*y = -30 - 12. Solve y = -2*h - 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8.7 - -8. Let m = h - -0.2. Let r be (-8)\/30*33\/22. Which is the nearest to 1? (a) -0.3 (b) m (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 - 2*b**3 - 2*b + 6 - 2*b.\nAnswer: -2*b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = -998 - -1871. What is the remainder when u is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + v - 385 + 1834 = 0, 2*j - 5*v + 1479 = 0. Let g = j + 996. Which is bigger: g or 268?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 476, 569, 694, 869, 1112, 1441, 1874, 2429?\n\"Answer: 3*n**3 - 2*n**2 + 78*n + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -0.06145 at least -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*m - 4*s + 3517, -2*s = -2*m - 0*m + 2368. What are the prime factors of m?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 100 = 2*q + 3*q. Let o = 98 - 63. Suppose 6*j - 4*i - 13 = j, 5*i - o = -4*j. Calculate the highest common divisor of q and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 91638 to the power of 1\/2, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 48.20631 minutes to nanoseconds.\nAnswer: 2892378600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -16 + (-5 - -7 - (-29 + 25)) - (0 - 54)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 13039 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -w + 7. Let k(a) = a - 18. Let x = -8 - -23. Let r be k(x). Let b be l(r). Solve -3*z + 1 - b = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -57*o**2 + 1137*o - 120045.\nAnswer: -114*o + 1137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of (-171)\/(-7) + (-6)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 + -5 - (-12 + -1)) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8 + 3 - 4 + (4 - 1 + 0)*(4 - 6 + 1))*(3*j - 3*j - 2*j)*(-3 + j**3 + 3) + (0 + 0 + j)*(-2*j**3 + 2 - 2).\nAnswer: 22*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Total of -4 and -2506938.\nAnswer: -2506942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o**2 + 78*o - 432 = 0. What is o?\nAnswer: 8, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z be 57\/12 + (135\/(-20))\/9. Solve 2*u - 4 = -3*u - 2*f, -4*u - 2*f = -z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1096757 (base 10) in base 6?\nAnswer: 35301325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*l - 20*l = 3*v - 11, 4*l - 26 = -3*v. Calculate the smallest common multiple of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -185041c (base 13) to base 16.\nAnswer: -792a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 217*y**2 + 2*y**4 + 3*y**3 - 1 - 1 - 2*y**3 + 3*y - 188*y**2 as d*y**3 + k*y**2 + o*y + u + s*y**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -17 + 26. What is the remainder when 17 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from {i: 7, y: 1, h: 1, u: 2, s: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 5 - 3 + 2*y - 4*y + 1. Suppose 4*l + g + 2*g - 25 = 0, -3*l - 2*g + 18 = 0. Give r(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.354 + 0.046. Let u = 26 + -15. Let d = 8 - u. Which is the smallest value? (a) z (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*y = 6*y + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(132)\/sqrt(3) + (-6*sqrt(99))**2 + 0.\nAnswer: 2*sqrt(11) + 3565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (3 - 4 - -9 - (39 + -21)) + 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h**2 - 37*h + 237. Let y be s(29). Let v(x) = 1229*x + 14. Let p(g) = -820*g - 10. Let q(j) = y*v(j) + 7*p(j). Let f(z) = -2*z. What is f(q(l))?\nAnswer: -810*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 209 (b) 2\/21 (c) -2.3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) be the second derivative of 0*t**3 + 1\/30*t**5 + 0 + 0*t**4 + t - 1\/2*t**2. Let g(z) be the first derivative of j(z). Let w(n) = n**2. Give g(w(b)).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t - 5*f - 17 = 0, 0 = -3*t - 57*f + 62*f + 37 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -46\/13 (b) -439\/3 (c) 2\/9 (d) -1\/2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**2 - 80*z - 385. Give v(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.2 - 1. Let s = 15 + -16.2. Let l = y + s. Put 0.1, -2, l in decreasing order.\nAnswer: 0.1, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 430 - 393.7. Let m = -36.6 + b. Let w = -0.3 + 1.3. What is the smallest value in w, -1\/13, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in g**3 - 12*g**3 + 71 - 3*g**3 - 67.\nAnswer: -14*g**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 208 and 156?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9176 and 64898?\nAnswer: 8047352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:39 PM and 11:39 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4 + 2. Let p be (-5)\/h*316\/5. Find the common denominator of 33\/10 and p\/15 - (-7)\/(-21).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2174953 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 178421764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = 2*c - 30092 + 162100, 0 = -4*c - g - 263998. Round c to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 0 + d**2 - d**2 + d**2 - d**2 + (-5*d + d + 3*d)*(-2*d + d + 2*d) - d**2 + 99 - 99 + (-2*d - 2*d + 3*d)*(-4 + 2*d + 4).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 192 and 4944?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 72913 is divided by 100.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 3*s + 0)*(-55 - 50 - 42).\nAnswer: -441*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*i*r + 12721*i - 55739*r + 1 wrt i.\nAnswer: 3*r + 12721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand 84*b**4 - 2*b**2 + 0 - 89*b**4 + 2*b + 2 + (4*b**2 - 3*b**2 - 15*b**2)*(-2*b**2 + b - b).\nAnswer: 23*b**4 - 2*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -135 = 17*h - 26*h. Calculate the greatest common factor of h and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g**3 + 3*g + 1. Let l be i(-2). Suppose 3*f - 36 = 3*t, l*t - 2*f + 28 = -f. Let p = t - -14. Calculate the lowest common multiple of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/26 and -103\/126068770.\nAnswer: 1638894010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 7, h: 1, w: 5}. What is prob of sequence ww?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -4*l - t, 0 = -3*l + 3*t + 2 - 5. Sort -2, l, -21.\nAnswer: -21, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l**5\/3 + 7*l**4\/3 - 41*l**3\/3 + 37*l**2\/3 + 40*l\/3 - 44\/3 = 0. Calculate l.\nAnswer: -11, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = k + 188, -4*k - 315 = 5*o - 2*k. Let i = o + 96. Let l = 49 - i. What is the smallest common multiple of 16 and l?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 96 = 3*r - 60. Is 12 a factor of (-2 - (-3 - -2)) + r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1792*g**3*u**3 + 2*g**3*u**2 + 7*g**3 - 1752*g**2*u**2 + g*u + 2*u**3 + 2*u wrt g.\nAnswer: -10752*u**3 + 12*u**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-19)\/(-19)*5*1. Let m(r) = 4*r - 11. Let x be m(g). Let l be (-38)\/8 - x\/(-12). Sort 6, l, 5 in decreasing order.\nAnswer: 6, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 464.99999729 - 465. Round j to 7 decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/(40\/(-12)) - 45\/50.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 703 minutes after 4:10 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -25 + 55 - 29. Let y(p) = -p**2 + 5*p - 3. Let t be y(4). Let d be t\/(-2)*(-4)\/(-2). Let b(q) = q - 3. Determine d*b(s) - 4*i(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2.3161 - -0.7161. What is the closest to -2\/11 in 1, -5, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 3, d: 3, m: 1, x: 5, p: 3}. Give prob of sequence db.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -43\/70609 and 109\/8126454?\nAnswer: 89390994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*h**3 + 4*h**3 + 0*h**3)*(h - 2 + 0*h + 4).\nAnswer: -2*h**4 - 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3978 and 1196494?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, -1.3, 15 in ascending order.\nAnswer: -1.3, 0.1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6 - 4. Suppose -5*q + 0 = -x*p - 3, -3*q - 19 = 4*p. Put 1\/3, p, 2 in descending order.\nAnswer: 2, 1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from qttqtqtqqtttqu.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.1 - 2.6. Let r = x - -3. Let o = -166297 + 166296.9. What is the third smallest value in r, o, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 8064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the second derivative of -g**5\/20 + 5*g**4\/12 - 2*g**3\/3 + 3*g**2\/2 - 4*g. What is the units digit of h(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the third derivative of -r**5\/150 - 67*r**4\/60 + 46*r**3\/5 + 10*r**2. Suppose t(c) = 0. What is c?\nAnswer: -69, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*v**3 - 1504*v**2 + 50240*v - 435200 = 0. Calculate v.\nAnswer: 16, 20, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 350\/31617 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 167 a factor of 20207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 177, 1888, 4743, 8742, 13885?\n\"Answer: 572*t**2 - 5*t - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (6\/144*6)\/((-16)\/(-2688)*-3)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (43 + (14 - 66) - -4) + (-1 - 67)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 2578.912 litres?\nAnswer: 2578912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*c + 39*c = -348 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the second derivative of w**9\/83160 + w**8\/7392 + 2*w**7\/3465 + w**6\/990 + w**4\/6 + w. Let f(r) be the third derivative of u(r). Factor f(l).\nAnswer: 2*l*(l + 1)*(l + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f - 2. Let o(d) = 144*d - 37. Let n(x) = 3*h(x) - o(x). Differentiate n(t) with respect to t.\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -111671*y**2 - 111425*y**2 + 222828*y**2.\nAnswer: -268*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s**3 - 4. Let w be y(0). Which is the third smallest value? (a) 3 (b) 40 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (19 + 2)\/(10\/(-10)). Let h = 24 + f. Suppose -h*i + 5 = -13. Calculate the least common multiple of 2 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17 divided by 3763?\nAnswer: -17\/3763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x**2 - 3*x + 2. Let y be k(3). Let j be 4\/(-8)*y\/2. Let g = -0.6 - 0.4. Which is the second biggest value? (a) g (b) 1\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 4*s + 5*n - 51 = 0, -5*n = -2*s + 42. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = n + 26. Let f be 0\/((-3 - -4)*-1). Is l(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-75 - 0)\/(1 - 0). Let o = 143 + q. Suppose -2*x = -o + 52. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*i - 1239 = -15*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -30*8094.\nAnswer: -242820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 22619026 and 290594?\nAnswer: 6758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 389251444 to the power of 1\/4, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that k**5 + 182*k**4 + 10574*k**3 + 210688*k**2 + 560745*k + 360450 = 0.\nAnswer: -89, -45, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, -21, -1.4, -0.2?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes after 7:03 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4128 - -1947. What is the remainder when k is divided by 190?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 95327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = -31 + 49. Suppose -29 = -3*y + 4. Let p = y - 5. What is the smallest common multiple of p and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 3*i**2 - 6*i - 1. Let n be p(-6). Let m be 13 - (2 - (-2 + 4)). What is the highest common divisor of n and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 44688 and 4223016.\nAnswer: 8446032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -1.5 - 140898924\nAnswer: -140898925.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8 - -7. List the prime factors of 1\/(-2)*-34 + d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -834 - -4742. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 13661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2067 + 650. Let x = -888 - u. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5963833247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 78680130 and 185?\nAnswer: 78680130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7\/28601 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3 - 1. Let t(z) = z + 9. Let u be t(-9). Factor 1\/4*i**4 + 0*i + u - 1\/4*i**y + 0*i**3.\nAnswer: i**2*(i - 1)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1\/220 - -1\/264. Let q(x) be the third derivative of -5\/24*x**4 + 0*x + 7*x**2 + y*x**6 - 1\/15*x**5 + 1\/2*x**3 + 0. Calculate q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 158744580 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (3*sqrt(320)*1 + sqrt(320))**2 - ((sqrt(320) - sqrt(320)*-2)**2*6 + (-5 + sqrt(320) + sqrt(320) + 0)**2).\nAnswer: -13469 + 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:56 PM and 5:21 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1 - -26?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 201 - 201.5. Let b = -4 + 12. Let w = -5 + b. What is the closest to 2\/3 in y, w, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 255935553?\nAnswer: 3, 85311851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -192*u = -201*u - 27 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eivevivve. Give prob of sequence ee.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 142509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 7 divided by 11489\nAnswer: 7\/11489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 353*v**3 - 957*v**3 + 602*v**3 - 356*v in the form u*v**3 + p*v**2 + s + a*v and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 81 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -0.006899941 to 6 dps.\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the third derivative of h**7\/168 - 7*h**6\/72 + 5*h**5\/8 - 15*h**4\/8 + 67*h**3\/6 - 89*h**2. Let d(r) be the first derivative of u(r). Factor d(n).\nAnswer: 5*(n - 3)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -303232 (base 5) in base 7?\nAnswer: -40423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = 2*l + 82, -6*l = 5*u - 2*l - 187. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**2*t**7\/t assuming t is positive.\nAnswer: t**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18974 is divided by 234.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = -15 - -19. Calculate the least common multiple of -2*2\/m + (5 - 1) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.000678 and -0.001.\nAnswer: -0.001678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -452276 (base 10) in base 3?\nAnswer: -211222101222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -i**3 + 7*i**2 - 10*i + 9. Let v be x(6). Is -15 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1078707615.\nAnswer: 3, 5, 19, 71, 53309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3 + -1 + 0 - -71?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5853, -5870, -5905, -5970, -6077, -6238, -6465, -6770?\nAnswer: -7165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -264*g - 8 = 9496 for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - (5 - -20) - (-27 - -24).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000005224443 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 102 * 6.9.\nAnswer: 703.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 353603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p be 12\/(-8)*(0 + -2). Suppose 5*v = p*v + 116. Let j = -32 - -47. What is the remainder when v is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1752*x - 1735*x - 170 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2424861745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 3 - 1)*((8 - 4 + 3)*(-1 - 3 + 3) - 4 + 3 + 3)*(-4 + 4 + 4*h).\nAnswer: 60*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 49471*b + 1896?\nAnswer: 49471","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 73\/(-73)*(13*-1)\/((-3)\/(-3))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0795785 millennia in centuries?\nAnswer: 0.795785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 15*r**3 + r**2 + 0*r - 5*r**3 - 9*r**3 - r as p*r**3 + q + u*r**2 + o*r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -204*z + 18. Calculate the smallest common multiple of s(0) and 9826.\nAnswer: 88434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 963420 and 14.\nAnswer: 6743940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -173*u**2 + 47*u**2 + 40*u**2 + 19*u**2 + 31*u**2.\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v**3 - 23*v**2 - 21*v + 24. Let f be y(-22). Let u(a) = 9*a**3 + 2*a. Let i(n) = 37*n**3 - n**2 + 8*n. Give f*i(z) - 9*u(z).\nAnswer: -7*z**3 - 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = -709.4 - -640. Let s = d - -69. Let z = 6\/23 - -62\/115. What is the third smallest value in s, z, 1, 2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1222121112100210 + -10?\nAnswer: 1222121112100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2328 + 2321. Which is the third biggest value? (a) 4 (b) -3 (c) -74\/3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -2*g**2 + g - 2. Let o(y) = y**2 + 19*y + 1. Let l be o(-19). Let h be x(l). Let p(u) = -u + 1. What is p(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*j**2*k**2*q - 4*j**2*k + 8*j*k**2*q - 2*j*k*q + 2*k*q - 2*q wrt k?\nAnswer: -6*j**2*q + 16*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -41 (base 12) to base 16\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z = 3*s + 7 - 13, -6*z - 39 = 3*s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -223*t**2 - 195*t wrt t.\nAnswer: -446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -11*f + 7. Determine x(5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -4b332b (base 13) in base 12?\nAnswer: -7314ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 5 (b) 551 (c) -0.1 (d) 1\/7 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 44\/5 of a millisecond in microseconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -129.8, 38\/5, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2 - -2 - (-54 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61*n = -69*n + 127*n + 44547. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 3, m: 3, n: 1, e: 4}. What is prob of sequence oen?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1608 or 1607?\nAnswer: 1608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 - 9 = -3*h. Suppose -h = -3*z + 4*x, -5 = -3*z + 5*x - 4*x. What is the units digit of z*(1 - (-132)\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-7)\/42*-3*7*120\/378?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1862 a factor of 1254241580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 163401289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 981.8088 meters to millimeters.\nAnswer: 981808.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 194.40927ns in minutes?\nAnswer: 0.0000000032401545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 6*t - 2 - 8 + 1 + 2 - 5*t**2 + t**3. Let s(k) = k**3 - k - 1. Let a be s(2). List the prime factors of w(a).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is a in 6*a**2 - 3*a**5 + 11*a - 12*a**4 + 4 + 2 + 4*a - 12*a**3 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/z**(2\/21))\/(z*((z\/((z**(-6\/13)*z)\/z))\/z)\/z))\/(z**1)**32)**(-36) assuming z is positive.\nAnswer: z**(103380\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -1 (b) 0 (c) -2\/9 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5131038 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*d**3 + 23885*d**2 + 21772*d**2 + 8341*d**2 - 9645*d**2 - 7501*d**2.\nAnswer: -2*d**3 + 36852*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v be -5*2*1\/2. Suppose 0 = 5*s - 5*l - 18 + 53, 5*s + 19 = l. Which is the closest to 0? (a) s (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*u = 13*u + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 99*y**4 - 126 with respect to y.\nAnswer: 396*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2955684815 and 523.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u + 10. Let o be i(8). Suppose 0 = o*h + 13 - 3. Let z(x) = -x - 4. Give z(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.50425728 to two dps.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 28871050 to the power of 1\/3, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -4, -0.12, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 6\/(4\/(-28) - 430\/(-70))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(1\/4))**(2\/5)*l**2\/(l*l*l*l**5*l) assuming l is positive.\nAnswer: l**(-69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x**2 + 6*x + 4. Let v be s(-7). Let l = v + 90. Suppose 2*d = z - 7, -5*z + l*d + 41 = -d. Calculate the smallest common multiple of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -162 - 182 = 4*r. Let x be 8\/(r\/44 + 2). Let y = x + -49. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -754 - -4619. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 88422 (b) 2\/7 (c) -1395\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21 + -33 - (-3 + -14) - -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = 4*z - 6*z. Let g = z - -35. What is the third derivative of 39*c**3 - 17*c**3 - g*c**3 - 3*c**2 wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find n such that -58*n**2\/9 - 170*n\/9 + 4\/3 = 0.\nAnswer: -3, 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = -10 - -25. Suppose -3*o = -4*s + m, 3*s - s + 15 = -3*o. Let v(u) = 3*u + 24. What is the least common multiple of v(o) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = s - 4 - 1. Suppose -2*v + 13 = -g, -5*g = s*v - g. Put 0.4, -0.2, v in decreasing order.\nAnswer: v, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -36*x**3 + 40*x**2 - 13984*x + 14025*x + 35*x**3.\nAnswer: -x*(x - 41)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-574)\/(-49) - (-4)\/14. Suppose -2*r + 16 = 2*u - 5*u, 0 = -4*r + u + k. Let i = -1.1 - -0.1. Is i smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7298 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -13497*q**4 - 305*q**2 - 364*q**2 - 353*q**2 + 914*q**2 wrt q?\nAnswer: -323928*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 75353519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1049777 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/(-2) + (-14)\/4. Let l(k) = 2*k + 1. Let s(n) be the second derivative of n**3\/3 + n**2\/2 - 70*n. What is d*s(q) + 4*l(q)?\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/5 at most as big as -20477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -205230, -205208, -205186, -205164, -205142?\n\"Answer: 22*m - 205252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -39.82 + 39. Let h = r + 0.42. Put 2\/11, 1\/6, -4, h in decreasing order.\nAnswer: 2\/11, 1\/6, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00010986 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m**3 - 8*m**2 + 3*m + 4. Determine a(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*k + 2*y + 1, -3*k + y - 5 = -3*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 439 minutes after 11:43 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -30933 take away -0.00525?\nAnswer: -30932.99475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76 = 4*u - 72. Suppose 0 = -32*y + u*y - 575. What is the tens digit of ((-4)\/(-10))\/(6 + (-689)\/y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -32*p**2. Let w(q) = 9*q. Calculate v(w(i)).\nAnswer: -2592*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 7\/8 of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 27*k**3 + 12*k**2 - 4*k. Let p(c) = -26*c**3 - 13*c**2 + 3*c. Calculate -4*p(v) - 3*r(v).\nAnswer: 23*v**3 + 16*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 971153 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 4*n**2. Let i(a) = -182*a - 2. Determine i(k(l)).\nAnswer: -728*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -7*i**2 - 187*i + 14. Give h(-27).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r - 33 = -4*l, 104 - 83 = -2*l + r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kp when two letters picked without replacement from {c: 1, k: 1, i: 1, p: 2, u: 2, a: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -6*d**2 - 55*d + 268. Calculate t(4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.09 - 0.8. Let v be 21\/15 - 1 - (-1422)\/2370. Is v not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((1*sqrt(66)*5*-4)\/(((sqrt(144)\/sqrt(3))\/sqrt(8) - sqrt(6)) + sqrt(6) - sqrt(384)*3) + -2)**2.\nAnswer: -480*sqrt(11)\/23 + 39096\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -26905, -26901, -26895, -26887, -26877, -26865, -26851?\n\"Answer: d**2 + d - 26907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q, 1 c, and 1 i when three letters picked without replacement from {i: 1, w: 2, d: 1, c: 1, q: 1, n: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1572865586 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 70027 is divided by 70023?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -2630*k**2 - 22*k - 10951. Let p(s) = 529*s**2 + 4*s + 2190. Let x(j) = -2*c(j) - 11*p(j). What is the first derivative of x(u) wrt u?\nAnswer: -1118*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 6*i - 24. Suppose -88 = -3*h + 20. Suppose -i*g + g + h = 0. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 572 and 15548?\nAnswer: 171028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 10 + 0 = 4*y, -5*m = 2*y + 10. Suppose 4*t - 31 = -4*v - t, 0 = -5*v + 4*t + 8. List the prime factors of (m\/v)\/((-2)\/144).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**2. Let a = 27 + -25. Suppose -4*c - i = -24, -c - 4*i = -5*c + 4. Let n(y) = -2*y - a*y - 2*y + c*y. Give s(n(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -12*v - 474. Let g be o(-53). Calculate the greatest common divisor of 4158 and g.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = l + 30. Let c be 25\/2*(-72)\/l. Let d = 3 - c. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1683443 or 1683444?\nAnswer: 1683444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -3*o**3 + 35*o**2 + 25*o - 118. Calculate i(12).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 3*p. Let x(m) = 9*m - 22. Let n(o) = -16*o + 42. Let s(l) = 3*n(l) + 5*x(l). What is r(s(i))?\nAnswer: -9*i + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = u**3 - 30*u**2 + 13*u + 92. What is the tens digit of z(30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 129626?\nAnswer: 2, 7, 47, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 673277, 1346556, 2019835, 2693114, 3366393, 4039672?\n\"Answer: 673279*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 7*c - 2. Let g(x) = 13*x - 4. Let p(k) = -4*g(k) + 9*z(k). Let f be p(-4). Let j be 96\/f + 8\/4. Is -1 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 48 (b) -1017 (c) -0.07 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Add together 28144388716 and 0.12.\nAnswer: 28144388716.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 3598745 divided by -5\nAnswer: -719749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -4311 - -4?\nAnswer: -4302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 334 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.3453*-1.\nAnswer: 1.3453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*c**2\/3 - 163991828*c\/3.\nAnswer: -2*c*(c + 81995914)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2 + (-6 + -2)*1. Put -4, l, 4 in ascending order.\nAnswer: l, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7825327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.5 - -12735.\nAnswer: 12734.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 21\/20? (a) -5\/4 (b) 582 (c) 0.4 (d) 2 (e) -5 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1 - 266010?\nAnswer: -266011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 78 - 69. Let q be (d + 592)\/(39\/(-12)). Let c = q + 185. Is -1 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2054 and 6.\nAnswer: 6162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = -18.8 - -19. Let k = 17.2 - u. Let t = -20 + k. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fazammmzjfvmvf. What is prob of sequence favm?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 83*k**3 - 2 - 3 + 6.\nAnswer: 83*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 31 smaller than 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 53\/12 and -34\/7?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 997, 1992, 2987, 3982, 4977?\nAnswer: 5972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000238 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1814*f - 1873*f + 4 - 5)*(0 + 2 + 0) to l + k*f and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 972370 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = 11 + 46. Let d = x + 93. Let q = d + 6. Calculate the greatest common divisor of q and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2.71 - -1.6. Let a = -0.01 - k. Let v = 1.10000054 - a. Round v to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 3*p**2 - 4*p + 7. Let q(u) = u**2 - u + 2. Let s be (-2)\/(-3)*(-105)\/(-10). Let o(y) = s*q(y) - 2*w(y). Let f be o(-2). Solve f*g + 0 = 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-22)*y*y**(-2\/87))\/(y*y**(-5)*y)**19 assuming y is positive.\nAnswer: y**(3130\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be 115\/15 + 2\/(-3). Let q = c - 3. Solve 0*g + 8 = 4*g, -4*h - 4*g = q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 257048036 and 146884592?\nAnswer: 1028192144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 26 and 74022.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) be the third derivative of u**4\/8 + u**3\/2 + 2*u**2. Is r(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 + 0. Let s(r) = -5*r + r**3 - 3 - 131*r**2 + 3*r + 132*r**2 - r. Give s(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*k**3\/3 + 4*k**2 + 14*k\/3 = 0. What is k?\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/4 + (-396)\/(-144).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1150 - 1090. Calculate the least common multiple of v and 54.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1127 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*u + 1 - 1)*(2 - u - 2) + (2*u + 2*u - 5*u)*(-u + 2*u - 2*u) - 3*u**2 + 3*u**2 - 3*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6 - 6. Let d be (-6 + 13)\/(o - 1). What is the units digit of 2\/d + 88\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s**5\/5 + 276*s**4\/5 + 807*s**3\/5 + 534*s**2\/5 = 0. Calculate s.\nAnswer: -89, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2687 - 2691.884. Let v = h + -0.016. Let z = v + 4.942. Round z to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 0.5515288cm?\nAnswer: 0.000005515288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vhajavjjja. What is prob of picking 2 v and 1 h?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 404.4427174 to the nearest ten.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 13*y - 600 = 0. Calculate the remainder when y is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 6*c - 1. Suppose -i - x = c - 6, x = -4*i + 20. Solve 3 = -2*a - 4*j - i, 1 = -j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 - -1)\/((-1)\/1). Let z be (-1)\/(-12)*27336\/603 - 4\/(-18). Factor -3\/10 + c*w**3 + 4\/5*w + 1\/10*w**z - 3\/5*w**2.\nAnswer: (w - 1)**3*(w + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 5*k + 171, p = -3*k + 49 + 20. What is the remainder when (p - 2)*(-2)\/(-4) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -4*s + 12. Let j(n) = -5*n + 13. Let f(u) = -5*j(u) + 6*x(u). Suppose -3*b - 4*c - 10 = 0, b + 2*c = -4*b - 26. What is f(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 29\/57?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 14*a - 15 - 340*a**3 + 341*a**3 - 2*a**2 - 9*a**2. Let d be m(10). Suppose 0*i - 24 = -i. Which is smaller: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -82*d**3*q + 174*d**3 - 126*d**2*q - 2*d*q**2 + 26 wrt q.\nAnswer: -82*d**3 - 126*d**2 - 4*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -5*o**2 + 7*o + 6. Let n(j) = -2*j - 1. Let c be n(6). Let m(v) = -11*v**2 + 15*v + 13. What is c*y(g) + 6*m(g)?\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 25 - 84. Suppose -2*x + 410 = -7*x. Let n = b - x. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 1805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2 + -410?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -19468*p**4 + 11837*p + 1 wrt p.\nAnswer: -233616*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 7320337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -21b9 - 0?\nAnswer: -21b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 65\/6894777 and -71\/9193036.\nAnswer: 27579108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 5, -1\/4, -4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -11 - -16. Suppose 4*d - d + f = 4, -2*d = -h*f - 14. Let w = 68 - 206\/3. What is the nearest to -1 in d, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 95 and 304?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 2183 and 0.3627?\nAnswer: 2182.6373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.06 + 1.3. Let h = -1.177 + j. Let a = 3.063 - h. What is the closest to -1\/3 in 0, a, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 16562, 16554, 16546, 16538?\n\"Answer: -8*h + 16570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 251031?\nAnswer: 3, 11, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 14 = g, -2*v + 8 = g + 1. Let h be (-6)\/(-9)*21\/g. Solve 3*f + 5 = s, -4*s - 4*f - h - 14 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2\/4 + (-3)\/6. Suppose -4*b - 5*s - 2 = a, -b + 4 = -5*s - 8. What is the second derivative of b*i**3 - 2*i - 2*i**3 + 2*i**5 wrt i?\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -23*k**2 + 2 - 14*k**3 + 44*k**2 - 21*k**2 to the form f*k**2 + u*k**3 + w*k + b and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + h = 5 - 42, 5*h = -3*i + 13. Solve -i*c = -6*c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 194*w + 7*w - 413*w - 228 + 197*w to y + s*w and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the third derivative of -p**5\/20 + p**4\/24 - p**3\/6 - 10*p**2. Let j(u) = 13*u**2 - 5*u + 4. Determine 2*j(q) + 9*y(q).\nAnswer: -q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1711203, 3422394, 5133585, 6844776, 8555967, 10267158?\n\"Answer: 1711191*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -387635400 rounded to the nearest 1000000?\nAnswer: -388000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*u + 8*u**2 + 3*u + u**2 - u**3 - 7*u**2 to the form i*u + w*u**2 + l*u**3 + n and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 5081579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5 - 2. Suppose -52 = -w*l - l. What is the remainder when (-3 - 0)*-13 - 1 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 9 - -45. What is the highest common factor of 27 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*r**2 + 11*r**2 - 17*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) be the first derivative of -l**7\/126 - l**6\/30 + l**4\/9 - 7*l + 202. Let u(d) be the first derivative of p(d). Suppose u(q) = 0. What is q?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 72 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.91 and 5090.\nAnswer: 4631.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -43197, -42874, -42551, -42228?\n\"Answer: 323*w - 43520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = b - 5*a - 10 + 38, -3*a = -4*b - 27. Calculate the common denominator of 294\/(-36) + -4 - b and -9\/448.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 11\/55656257 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 70 - a?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2154676729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = -9 + 21. Suppose -a = -c + 307, -609 = m*c - 8*c - 3*a. List the prime factors of c.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 197554?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1496 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 804861 times -24.5?\nAnswer: -19719094.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 670*a + a**4 - 647*a - 7*a**3 - 17 + 0*a**4 + 3 - 3*a**2.\nAnswer: (a - 7)*(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 160*z - 4*q - 1696 = 266*z, 0 = z - 5*z - q - 64 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3733)\/(-37330))\/(((-12)\/(-584))\/(-3))?\nAnswer: -73\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 5*r - 4 + 2*r - 3. Let p be a(13). Calculate the greatest common factor of 56 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.1065 rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 622 = 4*g - 1938. Suppose 0 = 61*i - 57*i - g. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 6241 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = -16 - -16. Solve -t + 1 - 2 = m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 293*n**5 - 112*n**2 + 82583*n?\nAnswer: 5860*n**3 - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p*p**(2\/7))**(-42))**(-2\/11) assuming p is positive.\nAnswer: p**(192\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-63)\/18*272\/(-56)*2?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p**2 + p + 1. Let d be u(-1). Let g(b) = 0 - d + 2 + b. Let z be 2\/4 - ((-147)\/14 + 7). What is g(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -325583, -325570, -325543, -325496, -325423?\nAnswer: -325318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5, 9, 285?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the first derivative of -5*x**2\/2 - 4. Suppose 0 = -4*h - 17*h + 3339. Let i(g) = -159 - 2*g + h. Calculate f(i(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 3, j: 4, u: 5}. What is prob of sequence ujmj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 + 16?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 151, 365, 721, 1219, 1859, 2641, 3565?\n\"Answer: 71*i**2 + i + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gjjj when four letters picked without replacement from mmgmjgmjmj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/(-4)*-1*(-334)\/(-8) + (-2527)\/(-1444)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = v + 1. Let a(n) = 9*n + 15. Let f(i) = -16*i - 37. Let w(p) = 5*a(p) + 2*f(p). Calculate -3*j(x) + w(x).\nAnswer: 10*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*z + 64*z + 273 = 57*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -354*s - 1413. Suppose -200 = -4*k - k. Suppose k = 5*w - 2*z + 12, 3*w + z - 19 = 0. What is the remainder when w is divided by i(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -690922 and -690918 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 175 = -3*t. Suppose 0 = -4*x + 68 - 20. Suppose -3*w = 3*s - 66, -2*s + x = s. What is the remainder when t is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 229 divide 65521237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g = 4*o - 77, 37 = -6*g - 4*o + 131 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -c**5\/6 - 173*c**4\/6 - 171*c**3\/2 - 511*c**2\/6 - 85*c\/3.\nAnswer: -c*(c + 1)**3*(c + 170)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 5512420367 a multiple of 3686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**2\/11 - 3810*k\/11 + 939692\/11.\nAnswer: -2*(k - 221)*(k + 2126)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 3*v**2. Let a(s) = -s**2 + s + 1. Let w(i) = -12*i**2 + 6*i + 6. Let f(u) = 6*a(u) - w(u). Calculate 5*d(l) - 2*f(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 275 + 3076 = 3*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 184102*t**2 - 184139*t**2 + 9 - 6 + 4*t in the form p*t**2 + x + u*t and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 176 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 3*n + 16 = 4*y, 3*y - 4*n = 23. Suppose 2*b - 1 = 3*d + y, -3*b + 9 = 2*d. Let f = -664\/9 + 74. What is the third biggest value in -1\/7, f, d?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -2*p**2 + 203*p + 3899. Determine c(-19).\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -13*p**3 + 19*p**2 + 263*p - 1412. What is r(5)?\nAnswer: -1247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-8))\/((-2)\/(-3)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 107 minutes after 12:51 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes before 9:59 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-610896)\/890)\/572 - 42\/(-50).\nAnswer: -9\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/x**(2\/15))\/(x**(-6)\/x))\/((x*x**(-8))\/x*x**7) assuming x is positive.\nAnswer: x**(133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*l - 4*l - 2*l)*(l**4 + 0*l**4 + l**4) + (-l + l - l)*(-185*l**4 + 18*l**3 + 184*l**4 + 124*l**3).\nAnswer: 3*l**5 - 142*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -124, -3599, -13042, -31441, -61784, -107059, -170254, -254357?\n\"Answer: -498*l**3 + 4*l**2 - l + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -18\/5 + 113\/30. Let l(b) be the first derivative of 1\/9*b**3 - 1\/15*b**5 - k*b**2 + 0*b - 2 + 1\/12*b**4. Factor l(t).\nAnswer: -t*(t - 1)**2*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 8 + -412?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -33*n + 20764 - 21094 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor y**3\/3 - 307570*y**2\/3 + 7881942436*y + 204999814968.\nAnswer: (y - 153798)**2*(y + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*z**2 - 47*z - 3*z**2 + z**2 + 61*z - 7*z.\nAnswer: -5*z**2 + 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1.1 - -2.9. Let r = -19 + -94. Let l = r - -227\/2. Which is the closest to -1? (a) l (b) -1\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 317 minutes before 4:41 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -4*l**2. Let h(u) = -3*u - 59206. Give h(x(n)).\nAnswer: 12*n**2 - 59206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(63)\/(sqrt(9)*1*-1) - (sqrt(441)\/(sqrt(42)\/sqrt(6)))**2.\nAnswer: -63 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = x - 1 - 1, 5*p + 10 = -3*x. Which is the nearest to -0.1? (a) -3 (b) -0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*h + h + 2*h)*(9 - 9 - 4363*h**2 - 4200*h**2 - 4479*h**2) to o*h**2 + w*h + s*h**3 + y and give s.\nAnswer: -13042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = 3*g - 1864870. Suppose -5832435 + g = z. What is z rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 39*q. Let g(f) = -4*f + 4084. What is x(g(l))?\nAnswer: -156*l + 159276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*z = -72 - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-22)\/3)\/(-1)*-3. Let m = w - -34. Let y = -27 + 39. Does m = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -21*j + 991. Let p be n(47). Solve -p*l - 60 = 8*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o + 0*o - o. Let k be h(1). What is the units digit of (-75)\/(-12) - k\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z**4\/19 + 38866*z**3\/19 + 188956666*z**2\/19 + 1320093830*z\/19 - 3396325284\/19 = 0 for z.\nAnswer: -9713, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.04 - 0.16. Let y = 19 + -18.96. Let j = y + 2.96. Which is the biggest value? (a) j (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 246705018 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 909*i**5*u*x**2 - 3*i**3*u*x**3 - 4891*i**2*u*x**3 + 3*i**2*x**3 wrt i.\nAnswer: 54540*i**2*u*x**2 - 18*u*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4\/3, 1, 2\/9, 1139, -2, -4, 335?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3\/27 + 483\/(-54)*-2. Suppose p*d - 20*d = -236. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify s\/s**(6\/5)*s**(-1\/7)*(s*(s\/(s*s**6\/s))\/s)\/s*s**(-7) assuming s is positive.\nAnswer: s**(-467\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -1502, 3, -1 in descending order.\nAnswer: 6, 3, -1, -1502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 52 - 46. Let c(y) = y**3 - 4*y**2 - 15*y + 22. Let u be c(6). What is the greatest common divisor of u and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 53648408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2940299 is divided by 852.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4.25 + 4.65. Which is the closest to v? (a) -1 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 143736 by -113.\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/4 of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -30.2 (b) 1 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -28 + 32. Solve -l + w = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + g = 60. Solve -4*p - 4*z + 4 = 0, 3*p - 5*z + g = -6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 685, 1135, 1601, 2089, 2605, 3155?\n\"Answer: p**3 + 2*p**2 + 437*p + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2472459 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 198 a factor of 5926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = -227 + 221. Put h, 0, -5 in ascending order.\nAnswer: h, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 28398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2277*c**2 + 1025*c**2 + 1036*c**2.\nAnswer: -216*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/5 - (-9)\/(-15). Let o = s - 0. Let n = o - -8. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2938 - -2937. Which is the second smallest value? (a) r (b) -278\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.3 - -1.3004. What is a rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 34\/9*1944\/432. Solve -32 = 5*s + 4*m, -5*s + 0*s - z = -m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -473, -1969, -4495, -8057, -12661, -18313, -25019?\n\"Answer: -p**3 - 509*p**2 + 38*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 99177 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5 + 5*a**2 - 5)*(81*a + 72*a + 73*a) to the form b*a**2 + y + t*a**3 + v*a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -8*b + 3. Determine w(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -0.3*-10059.1\nAnswer: 3017.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -226 (base 14) to base 11.\nAnswer: -358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 14.95 + -15. What is b rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 378 - 368. Let u(t) = -t**2 + 13*t - 22. Calculate u(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4397682 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.04 from -0.4447.\nAnswer: -0.4047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**2\/(b*b*b**7))**(5\/4)*((b\/(b\/(b\/(b\/(b*b*b\/b**7)))))\/(b\/b**(-1\/4)))\/((b\/(b*b\/((b**(-4)*b)\/b*b))*b)\/b**(-5)) assuming b is positive.\nAnswer: b**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -4, -257\/36, 5.\nAnswer: -257\/36, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 983.06 - 993. Let b = z + 10. Let c = -0.16 + b. What is the second smallest value in c, 1\/5, -2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 92450003 < 92450003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -5*m**3 - 26*m**2 - 4*m + 27. Let j(s) = 4*s**3 + 25*s**2 + 5*s - 25. Let k(h) = 4*j(h) + 3*q(h). What are the prime factors of k(-20)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 8*15\/6 + (-12)\/4. Factor 77*o - 147*o**3 + c - 257*o + 378*o**2 + 7.\nAnswer: -3*(o - 2)*(7*o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*i - 1504 = -46*i - 373 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -147454995*y**2 + 147454995*y**2 - 8*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) 0.3611 (b) -5 (c) 2\/5 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/273, 4, 3?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -25 - 44?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2\/2)\/(-2 + -3). Let f = 37.17 + -11.17. Let a be (4\/((-8)\/(-6)))\/1. Put f, a, q, -1 in increasing order.\nAnswer: -1, q, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (10 + -3)*(-90)\/(-21). Suppose 4*b = 2*b + a + 56, 140 = 5*b - 2*a. Suppose -b*l - 8 = -m*l. Are 7 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (-3 - -5)\/(-5*(-2 - 924\/(-455)))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve m = 541*h - 537*h + 20, -24 = 2*h - 4*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -2*o. Let w(t) be the first derivative of -5*t**2\/2 + 86*t + 41. Determine k(w(g)).\nAnswer: 10*g - 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.05, 441, 16\/11?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 10003*u + 39. Let p be k(-13). Round p to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -4*p**3 + 13*p**2 + 11*p - 2. Let r be g(6). Let i = 554 + r. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -241.03*-44.98\nAnswer: 10841.5294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -11 + 15. Suppose c = -x*c - 5, 4*c + 20 = -4*r. Let l(v) = v**3 + 3*v**2 - 4*v + 2. Let d be l(r). Calculate the greatest common factor of 4 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a**3 - a. Let c be w(2). Find the third derivative of -5 + 2 - 2*j**2 - 141*j**6 + 197*j**c + 3*j**2 wrt j.\nAnswer: 6720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8790, -10902, -13014?\nAnswer: -15126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 826817.\nAnswer: 167, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 3 u when four letters picked without replacement from yjjjyyyuuuyjyu?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the first derivative of -a**6\/15 + 2*a**5\/25 + a**4\/2 - 2*a**3\/3 - 4*a**2\/5 + 8*a\/5 + 16. Solve w(q) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((4*sqrt(56)*-1)\/(4*sqrt(72)) + 0)*-2.\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((1*(sqrt(102) + sqrt(102)*1 + sqrt(102)) - (-1*sqrt(102) + sqrt(102))*3)\/(-4*(sqrt(150)*-1 - sqrt(150))))**2.\nAnswer: 153\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 210 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(576) - 3*sqrt(576)*2)*3)\/(sqrt(72) - 5*sqrt(72) - -1*sqrt(64)\/sqrt(8)).\nAnswer: 90*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -3*u - 24. Let r be o(-11). Let c = 146 - 74. Calculate the greatest common divisor of r and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 679 minutes after 6:55 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(153)*4 + sqrt(153))\/sqrt(9) - sqrt(34)\/(sqrt(72) - sqrt(2)) - (3 + sqrt(1700)*2 + 0))**2.\nAnswer: 456*sqrt(17)\/5 + 98417\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47 = -5*o - n - 3*n, 0 = -o + 5*n - 8. Suppose 0 = 3*m - 2*s - 4, 0*m = 5*m - 3*s - o. Which is bigger: m or 2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -111 - -200. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = v**2 + v - 1. Let s(q) = -37*q**2 - 10*q + 24. Let l(w) = 13*w**2 + 3*w - 8. Let n(k) = -8*l(k) - 3*s(k). Give 6*j(i) - n(i).\nAnswer: -i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1505 - 20\/(-4)) + 0\/(-1). What is m rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 plus -168948047512894?\nAnswer: -168948047512894.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 16240 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**3\/3 + 319211*i**2\/3 - 638419*i\/3 + 106403.\nAnswer: -(i - 319209)*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 950*y + 108291. Determine a(-114).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(68) + sqrt(68) + 1 - sqrt(68))**2 + 1 + sqrt(1088) - 3*(sqrt(17) - ((sqrt(17) + 0)*-4 - sqrt(17))).\nAnswer: -6*sqrt(17) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the second derivative of 35*d**4\/6 + 516*d**2 + 11*d + 24. What is the derivative of g(m) wrt m?\nAnswer: 140*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 570 - 9123\/16. Is 0 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(1100) - (4*(sqrt(1100)*5 + sqrt(1100)) + sqrt(1100)))**2 + -2.\nAnswer: 633594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 9.9+-0.711\nAnswer: 9.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 7, i: 2}. Give prob of sequence ii.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 3*y + 5. Let a(i) = -10*i - 1. Let m be a(-1). What is the remainder when z(m) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from tttnrtrrtnnr?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.1 and -4.722.\nAnswer: -4.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x = 3*w + 11, 8*w - 25 = 14*w - 5*x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 212818219, 425636437, 638454655?\n\"Answer: 212818218*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q - 10. Let s(j) = 2*j + 21. Suppose 7*a = -718 + 1936. Let v = a + -183. Give v*y(i) - 4*s(i).\nAnswer: i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2 smaller than 5724847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = 66\/7 + -111\/14. Which is the smallest value? (a) -2 (b) n (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 40760.199 rounded to the nearest 1000?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 186494533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = 4*d - 2. Let p(b) = 6*b**2 + 591*b - 275. Let u be p(-99). What is the nearest to 0.2 in 2\/3, u, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -15*p**2 + 31 - 5 + 55*p**2 - 26*p**2 - 18*p**2 as x*p**2 + u + b*p and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 156 and 21.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 14868 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 6298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n = -233908*o + 233909*o - 7, -2*o = 4*n - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 6*t**2. Let w(l) = -3860934*l**2. Give w(j(u)).\nAnswer: -138993624*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 84*a**6 - 21*a**2 + 2?\nAnswer: 10080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -3.021 rounded to 1 dp?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 124811?\nAnswer: 19, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 27 = m + 5, 5*h = 2*m - 17. What is the remainder when m is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000585649 rounded to 7 dps?\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w - 6 = -2*z, 111 = -3*w + 3*z + 114 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the first derivative of -k**3\/3 - k**2\/2 + 4*k + 10. Determine z(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -w**3 + 2*w**2 + 5*w - 7. Let j be v(3). Let n = -2 + 4. Suppose n*y + 5 = -3*y. Is j smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1688 is divided by 811?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*(b*b**(-2))\/b)**(-18\/5) assuming b is positive.\nAnswer: b**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 4*d - 20 = 0, 3*d - 2 + 8 = 4*f. What is the closest to -1 in -0.2, 0.3, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -5*k**3 + 6*k. Let v(n) = 4*n**3 - 5*n. Suppose 0 = 6*f - 3*f - 3*m - 12, -4*f - m + 26 = 0. What is f*v(q) + 5*l(q)?\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 202585405.\nAnswer: 5, 11, 647, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 95013 and 3888.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(-2)*-2 + 51. Suppose -165*s = -17*s - 1924. What is the highest common divisor of s and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 15645 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -1058 divided by -15\nAnswer: 1058\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b = -51 + 31. Let y be (4 + -1)\/((-15)\/b). Let q be (-9)\/(-3 + 8\/y). Calculate the greatest common factor of q and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 58 - 59. Suppose 25 = 12*s - 35. Let n be 2*(-1 - 3\/(-2)). Sort v, n, -2, s in ascending order.\nAnswer: -2, v, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2432\/127680)\/((15\/7)\/(-3)).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*h + 24*h = 160. Calculate the greatest common factor of 80 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*u + 2*u = -1001. Let m(v) = 91 - u + 45*v - 35*v. Let t(y) be the second derivative of -y**3\/6 - y. Give t(m(g)).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0 - 174\/(1 + -4). Let s = -47 + g. Let f = s - -132. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-36)\/(-2) - 5*18\/30. Solve -k = 5*l + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 divided by 2885.\nAnswer: -7\/2885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 25*h + 5 - 21*h - 25. Let o be j(7). Suppose -68 - 116 = -o*r. Calculate the greatest common factor of r and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:21 AM and 3:40 PM?\nAnswer: 319","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Are 9497 and 9497 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1, 117, -3019, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u - 5*r + 41 = 0, -2*r - 179 = -3*u - 201 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) be the third derivative of i**5\/30 - 2*i**2. Let z(v) = -3*v**2. Give m(z(h)).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -4\/13, 4, 0.6 in decreasing order.\nAnswer: 4, 0.6, -4\/13, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 120*c**2*g**3 - 4*c**2 + 3*c*g**3 - 4*c*g**2 - 26*c*g - 3*c - 4*g**3 wrt g?\nAnswer: 720*c**2 + 18*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3 + 11012220?\nAnswer: 11012223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -165*f**3 - 270*f + 77*f**3 - 42*f**3 + 269*f - 111*f**3 in the form m*f + g*f**2 + v*f**3 + t and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1498 = 37*b - 30*b. Let d = b + 230. Calculate the remainder when 57 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*c + 30*c - 190 = 0. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -468 + 294. Let p = 216 + u. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**10\/z)\/(((z*z\/(z\/((z*(z\/((z*z**(-12)*z)\/z)*z)\/z*z)\/z)*z)*z)\/z)\/z))\/(z**3*z*z\/(z*(z**(-5\/2)*z)\/z*z)) assuming z is positive.\nAnswer: z**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -106*r + 204*r - 102*r - 76.\nAnswer: -4*r - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14*q**2 - 985 + 984 - 2*q - 23*q**2 - 14*q**2 - 5*q**3 + 3*q**2 to the form f*q**2 + z*q + c*q**3 + l and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -2*y**2 + 0*y + 0*y + (4 + 2*y**2 - 4)*(-4 + 3 + 3) + 41*y**2 + 165 - 165 in the form l*y**2 + b*y + h and give l.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -0.667905 * -4\nAnswer: 2.67162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t**2 - 39072*t + 1790964 = 0 for t.\nAnswer: 46, 12978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 729146.6 litres to millilitres.\nAnswer: 729146600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i - 2*n = 69503, -i = -0*i - 5*n + 69538. Let v = i + 146513. What is v rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3643473 greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 7*b*c*i + 408*b*c*y - 2*b + 118967*c*i*y**3 - c*y**3 + 50*y**3 wrt i.\nAnswer: 7*b*c + 118967*c*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26*c**3 - 34*c**3 - 270*c**2 + 325*c**2 - 195*c**2.\nAnswer: -8*c**3 - 140*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the second derivative of -5*d**4\/48 + 57*d**3 + 137*d**2\/2 + 913*d. Suppose t(g) = 0. What is g?\nAnswer: -2\/5, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the first derivative of -5*t**4\/2 + 2*t**3 - 3. Find the third derivative of h(k) wrt k.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -27 - -9. Let i = -18.807 + -0.193. Let u = i - h. Which is the closest to 0.1? (a) -1\/6 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10483568 to the power of 1\/2, to the nearest integer?\nAnswer: 3238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 39 = -f + 4*u, 0 = 2*u + 2. Let q(w) = 2*w**2 - 9*w + 10. Let k be q(f). Solve 5*h + o - 5*o + k = 0, 3*h + 20 = o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-161)\/(-35) + (-3)\/5. Let t(a) = -2*a + 9. Let z be t(b). Which is smaller: -1\/5 or z?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 14 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + 5*k = -4*q + 1824, -5*k + 1363 = 3*q. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = -7 - 1. Suppose 130 = 3*x + 10. Suppose -4*q + w = -44, 2*q - w - 4*w - x = 0. Calculate the smallest common multiple of q and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-16)\/6)\/((-2040)\/(-2448))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3116 is divided by 445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 69340*r - 3624*r + 40435*r.\nAnswer: 106151*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -5*r**2 - 1 - 11 - 3*r + 4*r**2. Let t be w(-5). Let i = t + 58. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*b + 2*b + b + 2*b - 3*b**2.\nAnswer: -3*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 9 = -4*s + 7, -5*s = l - 21. Let i be 4\/(1*(-1 + 2)). Suppose 39 = i*f + s*v, 2*v + 1 - 7 = 0. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 37*x - 127 = 317 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 32 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 22 - ((-2)\/(-2) - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4893*i - 1436 + 1393*i**2 - 4888*i + 9783*i wrt i?\nAnswer: 2786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1 - 14\/10)*-5. Suppose 5*q = f*q - 15. Suppose -48 = 261*v - 253*v. Which is bigger: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -162 and -162 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qbbqbsqpqbersbqsq. Give prob of picking 1 b, 1 r, and 1 s.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/8 in -4, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 236 minutes after 11:00 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 775 + 1297 = -265*u + 321*u. Solve 0 = -6*m - 19*m - u*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 68238, 68223, 68198, 68163?\nAnswer: 68118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -21*d**2 + 15. Let y(a) = -122*a**2. What is t(y(u))?\nAnswer: -312564*u**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m**2 + 10*m + 9. Let d be t(-10). Solve 0 = -8*r + d + 23 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -12, -31, -8, 5, 4 in descending order.\nAnswer: 5, 4, -8, -12, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 19*s - 199. Suppose -3*m - 3*g = -2 - 1, 0 = -m + 5*g + 31. Calculate the lowest common multiple of p(11) and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*l + 2*l = 41*l + 1232 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 273134*i - 7647752. Calculate f(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m\/(m\/(m\/m**(9\/7))))\/m)**(1\/31)\/((m**11*m*m)\/(m\/m**(-16)*m)))**(-3\/5) assuming m is positive.\nAnswer: m**(-3228\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*l**2 + 0*l**2 + 0*l**2 - 2*l**2 - 2*l**2.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 4, v: 3, r: 2}. What is prob of picking 2 v?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q**(-9)*q)\/q)\/(q\/(q\/(q*q**(-4\/5)))))\/(q**(-1\/2))**(-10\/7) assuming q is positive.\nAnswer: q**(-347\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2912, 2899, 2884, 2867?\nAnswer: 2848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/17 not equal to 33\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1.6 - 24.6. Let y = -197503.00045 + 197526. Let n = y + z. What is n rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by 59921.\nAnswer: 2\/59921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 15855, 63597, 143247, 254805?\n\"Answer: 15954*j**2 - 120*j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 3*u + 4*r = 48, -3*u - 5*r = -42. What is the remainder when 42 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in 467, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = -332 - 367. What are the prime factors of b\/11 - 16\/88?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*c = -5*c - 2416. List the prime factors of c.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 11510*o - 2900526. Determine u(252).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 61, 76, 115, 190, 313, 496, 751, 1090?\nAnswer: 1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 5732, 5739, 5746, 5753, 5760?\n\"Answer: 7*g + 5725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -2*i**2 + 63*i + 548. Let p be f(-7). What is the greatest common factor of p and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 980 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in 0.2, 0.9, -0.3, -18, 10\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -98.6 + 99.1. Let z = 3 + -4. Let l = 0.4 + -0.4. Which is the closest to z? (a) d (b) 1\/8 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 39 - 44. Which is the closest to -0.2? (a) 0 (b) p (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -111313 - -111310330?\nAnswer: 111133011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/5 > -1256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the third derivative of b**5\/30 - b**2. Let t(m) = 2*m**2 - 7*m**2 + 0*m**2. Calculate l(t(z)).\nAnswer: 50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/5 or -55.66?\nAnswer: -55.66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 25 - 40. Let y = -15 - m. Put -1, 4, y in decreasing order.\nAnswer: 4, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -4*b**3 - 2*b**2 - b - 3. Let c be y(-3). Let x = -12 - -20. Let l = c + x. Calculate the highest common divisor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -3*k**2 - 4*k - 13. Let o(c) = c**2 + 2*c + 6. Calculate 13*o(y) + 6*t(y).\nAnswer: -5*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 - (-1)\/(63\/(-270)))*14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.001, 0.11, 273, -1 in descending order.\nAnswer: 273, 0.11, -0.001, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h*h\/(h*h\/(h**(1\/3)\/h*h)*h))\/h*h)**(-11\/3)\/(h**(3\/2)\/h**(-1\/11)))**(1\/71) assuming h is positive.\nAnswer: h**(169\/14058)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fnnapfnpppgncnn. Give prob of sequence ag.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3164.3 - -3164. Let i = -26\/3 + 124\/15. Which is the closest to i? (a) -67\/6 (b) 0.2 (c) -5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 693*w - 32. Is u(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gbb when three letters picked without replacement from {b: 11, g: 9}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express 5*i - 7*i + 11 + 16 + 13 + i as n*i + f and give f.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 11*d**2 + 1. Let o be x(-1). Suppose 409 = -5*k + 4*n, -2*k = -3*k + 4*n - 85. Let m = -63 - k. Calculate the highest common divisor of m and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(19)*-2)**2*-4*3.\nAnswer: -32832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 504 divided by -36.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h**3 + 5*h**2 + 3*h + 2. Let o be w(-4). Let u(s) = -s**2 + 4*s - 3. What is u(o)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 671 a factor of 1806699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*j**2 - 2*j**2 + 29959*j - 29957*j + 0*j**2 + 452*j**3.\nAnswer: 452*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 10110101001011111110111 (base 2) in base 6?\nAnswer: 331130435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f**2 - 5*f - 4. Let k(b) = 6*b + 3 + 3*b**2 + b**2 - 2*b - 5*b**2. Let w(t) = -4*c(t) - 5*k(t). What is the derivative of w(y) wrt y?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 144797 is divided by 9049?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 27\/314 and -47\/1023780.\nAnswer: 160733460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -576*c - 638. Calculate o(-1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24 - (5 - 0 - (4 - ((15 - -8) + -33)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from {b: 5, x: 15}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = -93\/20 - -22\/5. Suppose -6*i = -7*i - 2. What is the closest to t in i, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 68\/105 and -187\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*l**3 + 6*l**3 + 3*l**3 + (0*l - 2*l - 2*l)*(3 - 3 - 2*l**2))*((0 + l + 0)*(1 + 1 + 0) - 156*l - 336*l + 58*l).\nAnswer: -5616*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be 627\/57 - (-2 + 13). Which is the nearest to -14? (a) g (b) -5 (c) -2 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:27 AM and 5:15 AM?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-1)*q**(-2))\/(q**0*q)**(-9)*(q**4*q**(-3\/7))\/(q**(2\/3))**(-13\/5) assuming q is positive.\nAnswer: q**(1187\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*l = 43*l - 9. What is the second smallest value in l, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 6*x - 9. Let b be g(2). Suppose -b*c + 24 = -c. Suppose 5*v + 1 = 31. What is the highest common divisor of v and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 626*z**5 + 714*z.\nAnswer: 12520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48*g - b = 43*g + 8, 5*g - 20 = -5*b. Solve -12 = 3*u - g*m, -4*u - 2*m - 69 = -67 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 40 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is ((-12)\/(-14))\/(6\/143661) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2198\/314*(-1)\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5 - -101?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does -64 = -195485\/3021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 4*b**2 - 3*b**2 + b**2 + b + 3*b**3. Let m be g(-1). What is the third biggest value in 3, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in l**2 + 2*l**2 + 0*l**2 - 16*l**2 + 4*l**2.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k + 23 + k - 7*k - 15*k + 19*k. Calculate q(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose u - 533 = 3*v, -3*v - 28 = -3*u + 509. Let k = v + 889\/5. What is the fourth smallest value in 2\/9, k, 5\/4, 0?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*d - 19 + 7 - 4*d - d.\nAnswer: 6*d - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find m such that m**2\/5 + 617234*m\/5 - 1234472\/5 = 0.\nAnswer: -617236, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -p**3 + p**2 + p + 17. What is t(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3326 - -3149. Do -177 and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42*g + 0*g**2 + 42*g + g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -2, 8\/5, -105 in decreasing order.\nAnswer: 8\/5, -0.1, -2, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7900 - -7896. Let r(i) = 1403*i + 207. Let f(x) = 27*x + 4. Calculate w*r(y) + 207*f(y).\nAnswer: -23*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-21300)\/19170)\/(2\/(-21))?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -179780510 divided by -70.\nAnswer: 2568293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-50)\/45)\/(24\/(-63)) and -29\/42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 0*u = -4*u + 22, 0 = -p - u + 2. Let w be ((-9)\/p)\/(1\/10). Calculate the greatest common divisor of w and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes before 1:50 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2 + 1. Let n be (340 - -2)\/q - 1. Let p = n + -793\/7. Which is the closest to -2? (a) -2\/11 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-6)\/(16\/(-104) - (-148)\/(-52)). What is the second derivative of -11*m**2 + 875 - 15*m**2 - 876 - 13*m + 128*m - 12*m**y wrt m?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 185465 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 27 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 93 or 104?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 - (-1 + 12 + (-13 - 22))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the first derivative of -4*t**5\/5 - 141*t**4 + 4*t**3 + 842*t**2 - 1128*t - 6790. Suppose u(s) = 0. Calculate s.\nAnswer: -141, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 68 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (53*o + 30774 - 30774)*(2*o + 15 - 14 + 0*o) + 2 - 2*o**2 - 2 - 2*o**2 - o + o + (-4*o + 4*o - 2*o)*(o + 4*o - 3*o).\nAnswer: 98*o**2 + 53*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 73*f**2*o*q + 3*f**2 + 6*f*q + 4*q wrt o?\nAnswer: 73*f**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 - 0.511286461?\nAnswer: -0.211286461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 4*h**3 + 2*h**2. Let j = -7 + 17. Let v = 3728 + -3720. Let a = v - j. Calculate r(a).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d**2 + 13*d - 13. Let f be u(12). Let l = 17641\/8 + -2200. Calculate the common denominator of -4 + (f - -4) - (-46)\/(-44) and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -309 + 87 - 2*c**3 - c**4 + 88 - 3*c**2 + 89 to the form f*c + j*c**3 + z*c**4 + n + m*c**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -63 = 17*r - 114. Suppose 2*a = -a - 2*p + 3, 4*a = -4*p. Suppose 0 = -2*b + r*w + 10, a*b - w - 2 + 1 = 0. Which is greater: b or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*f**3 + 9*f - 5 + 17*f**2 + 4 - 6*f**3 - 3*f to u*f + o*f**2 + i + s*f**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*y + 17 + 3. Let j be 192\/(-20) - y\/10. Let i(z) = -z**3 - 9*z**2 + 11*z + 4. Give i(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 1 - (-3 + 4 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y**3 - 48*y**2 + 62*y - 125. Let i be t(47). Calculate the highest common divisor of i and 232.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 2*a = 198, 7*a - 210 = -5*n + 2*a. Suppose 2 - n = -4*f. Suppose -5*z = f - 79. What is the smallest common multiple of z and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (16 - 9)\/84 + (-50)\/24. Put w, -3, -0.522, -4 in ascending order.\nAnswer: -4, -3, w, -0.522","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 4) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -4*u**2 + 3*u. Let i(n) = -5*n**2 + 4*n. Let s(j) = 3*i(j) - 4*r(j). Let x(l) be the second derivative of -l**3\/3 - l. Calculate x(s(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -6030, -12089, -18146, -24201?\n\"Answer: w**2 - 6062*w + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 5*s - 4 = -74, -64 = -4*k - 2*s. Suppose -c = -0*c - 2, -3*c = v - k. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 576095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let -r**3 - 15*r**2 - 26*r = 0. What is r?\nAnswer: -13, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5649, -5688, -5727, -5766?\nAnswer: -5805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 2061430 by 2061430.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) be the first derivative of -u**7\/105 + u**6\/360 - u**3 - 1. Let h(n) be the third derivative of q(n). List the prime factors of h(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 22004726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 13 = -4*t, 2*t + 2*t + n = 15. Solve 3*f + 3 + 0 = 4*l, 3*l + t*f = -4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -34024*m**2 - 25050*m**2 + 57412*m**2 - 30190*m**2 in the form s*m**2 + w*m + c and give s.\nAnswer: -31852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/138521232 and 46\/645?\nAnswer: 692606160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*j - 12*j = -5*j + d + 87, -4*j + 40*d - 35*d = -40 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -30 + 8280?\nAnswer: 8250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*0.146.\nAnswer: -0.0584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-819)\/(-54))\/91*1\/((-1)\/249)*2?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -37 - 45*x**2 + 37 - 291*x**2. Let k(u) = u. Calculate s(k(z)).\nAnswer: -336*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1315272042 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -8*x**3 - 24*x - 324.\nAnswer: -24*x**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 6) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 2*p + 94 = -p, -2*p + 45 = -3*s. Let m = s - -36. What is the highest common factor of 76 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1304689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-588)\/105 + 3 + 2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 83 - 88 = 5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five quarters of a hour in minutes?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lpplpyppllplplylly. What is prob of sequence lyly?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-12)\/(-10))\/(2\/5). Let t be 8\/36 - 34\/(-9). Solve b - 7 = -3*x + t*r, 0 = -x - 5*r + 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 4, 0 in ascending order.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 1, 61, -9 in descending order.\nAnswer: 61, 1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j**3 - 8*j**2 - 7*j + 5. Suppose 21*c = -10 - 74. Let v be c - (6\/15)\/((-7)\/(-35)). Determine r(v).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**3 - 12*s**2 - 12*s - 11. Let z be c(-11). Suppose z = 2*w - 3 - 1. Let g = 0.2 + 0.2. What is the second biggest value in -2\/3, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3\/2 (b) -1\/18 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 296536 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(3087) - (-2 + sqrt(3087))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -35 + 25 + 16 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*k - 3*q = -153 + 39, -3*k - 22*q - 11 = -21*q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:54 AM and 2:54 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 58682 is divided by 51.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = m**3 + 4*m**2 + 4*m + 3. Let o be h(-3). Suppose 48 = -o*w + 4*w. Suppose 0 = -n + w + 9. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 2 + 5*l**2 + 10*l - 4*l - 4*l**2. Suppose -7 + 1 = -3*f. Suppose 2*o + o - 23 = f*n, 4*o = -3*n + 8. What is d(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*w + 59 + 172*w**2 + 437*w**2 - 59 + 224*w**2 in the form y*w**2 + t*w + z and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 65500441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 714*l - 34251. Give d(48).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2021?\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the second derivative of -j**6\/150 + 13*j**5\/100 - 43*j**4\/60 + j**3\/2 + 36*j**2\/5 + 3592*j. Factor w(i).\nAnswer: -(i - 8)*(i - 3)**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 3 - 5)*(-19 - 16 - 20)*((0*w + 0*w - w)*(-2 + 1 + 0) + w - 2*w + 3*w).\nAnswer: 330*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand -4 + 4 - n**3 + (-1254*n**3 + 1123*n**3 + 777*n**3)*(4 - 5 + 2).\nAnswer: 645*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5656404 nanometers in micrometers?\nAnswer: 0.0005656404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s = -3*s + 4*w - 21, s + 7 = w. Let u = 11 + s. Let x(p) = -3*p + p**2 - u*p - 6*p**3 + 6*p. Calculate x(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 133*j - 4. Is n(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2815390 is divided by 90819.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01871251768 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 6, 91, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*k - 0*k + 9. Is 4\/((-4)\/k) - -54 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 46*r - 2. Calculate f(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -k**2 + 9*k**2 + 3245 + k**2 + 3252 - 6497.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v = -90*p - 1449, 28 = -p - 4*v + 3*v - 3*v for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*205\/25 + (12 - 4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j**3 - 9*j**2 + j - 10. Let m = -213 - -222. Calculate h(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 4*s**2 - 6 - 1001*s + 1004*s)*(0*s + 0*s - 3*s).\nAnswer: 12*s**3 - 9*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in q + 1426 + 458 + 0*q - 156 + 277.\nAnswer: q + 2005","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*a - 12465*a**2 + 12465*a**2 + 0*a - 3*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1185900268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 5*o**2 - 3 + 11*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (-15)\/(-12) - 10\/(1200\/222)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = q - 6. Suppose 3*t + q = 6. Is t greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-6)\/w**(-3))**(4\/19)*(w**0)**(-38)\/(w**(1\/3))**32 assuming w is positive.\nAnswer: w**(-644\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = -j + 35. Let t be 32\/(-28) - 504\/(-98). Find the first derivative of -2*x**4 + 0 - t*x**4 - j wrt x.\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 times -0.84459599?\nAnswer: 3.37838396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r = 2*d - 181059, -104*r + 100*r + 4*d + 241372 = 0. What are the prime factors of r?\nAnswer: 29, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5916078 divided by 1.\nAnswer: -5916078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 81\/250 and -68\/13725.\nAnswer: 137250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 8) + 4 + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -117 greater than -347\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 189350?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1043 or -9?\nAnswer: -1043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -32.8 plus 418?\nAnswer: 385.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide -130 by 4.\nAnswer: -65\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1140 + 1129 - 5*a + 3*a**2 - 4*a**2 + (a - 2 + 2 + (a + 0*a - 3*a)*(-2 - 1 + 5) + 5 - 5 - a)*(2 - 2 + 5*a) to u*a**2 + c + r*a and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from {i: 2, y: 3, g: 2, d: 1, e: 4, p: 3}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 6, j: 4, y: 1, s: 4, h: 1}. What is prob of sequence yj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = 56458 + -7113553\/126. Calculate the common denominator of (8\/(-5) + 3)*((-218)\/18 - -13) and g.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the second derivative of h**3\/6 - 4*h**2 - 17*h. What is x(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 25*d**3 - 1626*d**2*j + d*j + 49838*j wrt d?\nAnswer: 150*d - 3252*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**3 + 8*x**2 + 24*x + 65. Is 140 a factor of z(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14532892 rounded to the nearest one hundred thousand?\nAnswer: 14500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 15*r. Let v(w) = 14*w**2 + 6*w + 6. Let a(t) = 12*t**2 + 5*t + 5. Let y(k) = -6*a(k) + 5*v(k). Calculate y(g(h)).\nAnswer: -450*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55 + 8 = -u + j, -46 = -u + 2*j. Let h = u - 24. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 19\/17 + -1290\/1139. Is 1 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -w. Let o(h) = 4*h**2 - 3*h. Let s(r) = -7*r**2 + 5*r. Let j = -3 - 0. Let c(l) = j*s(l) - 5*o(l). Calculate q(c(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 20089*b. Let z(g) = 40*g - 68. Calculate z(v(k)).\nAnswer: 803560*k - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1426613*u**4 + 873931*u**2 wrt u?\nAnswer: 34238712*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 2 - 68*b + 4 + 49*b. Let n(f) = f**3 - 5*f**2 + 6*f - 2. Let s be n(2). What is the tens digit of v(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 32968 and 30472.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -110*s**3 - 359*s**3 + 142*s**3 + 65*s**3 + 1 - 532*s**3.\nAnswer: -794*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000111997871 rounded to 7 decimal places?\nAnswer: 0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 12390676 to the power of 1\/2, to the nearest integer?\nAnswer: 3520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sse when three letters picked without replacement from seessssssse.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1944602.\nAnswer: 2, 11, 157, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -63 minus 0.1481429572772?\nAnswer: -63.1481429572772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, r: 2, m: 2, k: 1, o: 1, y: 1}. Give prob of sequence mmh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) be the third derivative of -15*d**2 - 1\/2*d**4 + 0*d**3 + 0*d + 0*d**5 + 0 - 1\/30*d**7 + 0*d**6. What is the second derivative of w(r) wrt r?\nAnswer: -84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 662578 and -0.2.\nAnswer: 662577.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**3 - 5*b**2 - b - 5. Let s be d(-5). Let i be (s + 0)\/(-12 + 10). Suppose -x + 2*v - 5 + 3 = 0, 4*x + 4*v = 28. Put x, 3, i in ascending order.\nAnswer: i, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 83\/364830 and -23\/328347.\nAnswer: 3283470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4543, -8371, -12199, -16027, -19855?\nAnswer: -23683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 2*m = -l - 1, -3*l + 61 = 4*m. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eub when three letters picked without replacement from buubbhbeeu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -15665*d + 18338*d - 10336*d to the form l*d + v and give l.\nAnswer: -7663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 272421?\nAnswer: 3, 30269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8 + 11. Let l(p) be the second derivative of p**4\/4 - p**3\/3 - p**2 + 7*p. What are the prime factors of l(v)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 20637 - 20635.8. Which is the nearest to 0? (a) -4 (b) m (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) be the third derivative of -1\/10*f**5 + 0*f**4 + 1\/6*f**6 + 24*f**2 + 0*f**3 + 0 + 0*f. What is the third derivative of q(t) wrt t?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -14 and -41\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5 + -1*sqrt(17))**2*-1 - (1 + sqrt(425) + sqrt(204)\/(sqrt(12) + sqrt(48)\/sqrt(4) + sqrt(12))))*-1.\nAnswer: 43 + 46*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-2\/7)\/z)\/z*z\/z**(-6\/7))\/(z**(-14\/9)\/((z*(z*z*z**(1\/21))\/z)\/z)) assuming z is positive.\nAnswer: z**(137\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:35 PM and 5:35 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x be -2 + 8 - -398 - (-2)\/(-1). What is the units digit of (-14)\/7 + (x - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -23 in -0.4, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -15 + 44\/3. Which is the closest to 0.1? (a) 5 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 93986385 and 1446?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 7 = -3*g - h, -5*g + 15 = -5*h. What is the third derivative of -k**g + k**2 + 3*k**3 + 4*k**2 wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2175, -4, -110 in descending order.\nAnswer: 2175, -4, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -23114.21284 + -2667032784.78716. Let p = 2667056034.0000079 + j. Let w = -135 + p. Round w to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xuxmxuv. Give prob of sequence vux.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*f**3 + 3*f**3 + 0*f**3 - 3*f**3 + 3*f**3 + f**3 + (-3*f + 3*f + f**2)*(-2*f + 2 - 2))*(-49*f + 98*f - 92*f).\nAnswer: -86*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -2*u**2 - u - 1. Let s be h(-1). Let c(j) be the third derivative of 1\/3*j**3 - 1\/24*j**4 + j**2 + 0 - 1\/30*j**5 - 33*j. Calculate c(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.030688645 <= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a, 1 u, 1 o, and 1 x when four letters picked without replacement from {o: 4, b: 2, x: 1, j: 3, u: 1, a: 1}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence quq when three letters picked without replacement from {k: 3, u: 6, q: 3, i: 1, j: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*d**4 - 12*d**3 + 888*d**2 - 3712*d - 4608.\nAnswer: -4*(d - 8)**2*(d + 1)*(d + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q be 43970\/(-385) - (-4)\/7. Let k = 21059\/198 + q. Calculate the common denominator of 0 + (27\/(-10))\/(-1) and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 85579157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 20*s - 2083 = -16*s, 10323 = 5*i + 3*s. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -2*x + 162. Let v(w) = -w + 325. What is 5*m(r) - 3*v(r)?\nAnswer: -7*r - 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = -29 - -11. Let b be 12\/m*-1*3. Is -1 + -40*(b - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7816 + 348457. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -11.3, -4, 0, 18.\nAnswer: -11.3, -4, -3, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Add 404 and -28.75.\nAnswer: 375.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 32574\/19 greater than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence blpl when four letters picked without replacement from pbllllwpl?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w**3 - 4*w**2 - 8*w + 7. Let r be d(5). Let j = -4 - r. Suppose -5*h + 3*h - 18 = j*l, 4 = -l. Which is bigger: -3\/11 or h?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 + -2. Suppose -i - 3*z - 24 = -z, 0 = 5*i - 3*z + 55. Let y be (-153)\/(-315) + 4\/i. Which is the nearest to -2\/9? (a) y (b) 0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence swss when four letters picked without replacement from {w: 3, s: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1355 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(99) - sqrt(99)*-3 - sqrt(99) - sqrt(99)))\/(sqrt(108)\/(sqrt(48)\/sqrt(4))).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 192 - 180. Suppose z + 32 = 5*q, 5*q + k = -3*z + 36. Suppose r = -h + 10, -h + r = -3*r. Solve h = 2*c - q*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -346 and 1.9.\nAnswer: -344.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n = -4*q - 102, 3094*q + 4*n + 84 = 3090*q for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*r + 179 = -41 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 3, u: 3, i: 3, b: 1, s: 4, r: 2}. What is prob of picking 1 n and 1 b?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -20*r + 17*r. Let s(x) = 8*x - 14. Let h be s(r). Solve -15*j = -h*j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (o + 2*o + o)*(-83 + 75 - 147).\nAnswer: -620*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = 125 - 90. What is the least common multiple of 35 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 136327 - 147437 = -202*b for b.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2133740564 to the nearest integer?\nAnswer: 46192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + l + 1 = 0, 2*l = -0*n + 4*n - 2. Suppose 8*v + c - 10 = 3*v, n = 3*v + 5*c + 16. What is the second derivative of p + 4*p**2 - v*p + p wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6.01952552 - -0.01952488. Let m = -6 - b. Round m to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(152) - 5*-2*sqrt(152) - ((sqrt(152)*-1 + sqrt(152) - sqrt(152)) + sqrt(152))*4)\/(sqrt(16)\/(sqrt(8)*2 + sqrt(8)) + sqrt(18)*-1) + 1)**2 + 0.\nAnswer: -33*sqrt(19)\/2 + 20707\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 52326 divided by 1539.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the first derivative of c**2 + 3 + 0 + 0 - c - 1. Differentiate v(x) with respect to x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (4 - (-7)\/(-7)) + 43*1. What is the highest common divisor of q and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 9 + 0 - 46*k**2 - 7 - 6*k**2. Let g(x) = -4*x**2 + 6*x - 6. Let n(f) = 3*f**2 - 5*f + 5. Let s(y) = -5*g(y) - 6*n(y). What is o(s(v))?\nAnswer: -208*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 58*f = 5*f - 477 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 324418 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 68\/743 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -4*o + 2. Let m be q(-2). Let n(a) = -5 + 10*a + m + 8. What is the units digit of n(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 + 3. Suppose -a*z = -2*z. Suppose 4*y + 23 - 71 = z. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*o + 126 = -5*o. Let f be 1\/(-2) - (-35)\/o. Is f at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at most 10\/5793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*h**2 - 34665*h - 242410.\nAnswer: -5*(h + 7)*(h + 6926)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express v**4 + 0*v + v**3 - 7 + 14 + v - 2*v**2 - 3 in the form s*v**4 + a*v + u*v**2 + r*v**3 + h and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 130, 285, 492, 781, 1182, 1725?\nAnswer: 2440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -19 + 12 - (-3 + -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4575 and 237275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4500 and 100?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 2*m - 5. Let j be l(4). Solve j*g = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 42980841?\nAnswer: 3, 1591883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -20111120 - -12002?\nAnswer: -20022111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -92 - 7*y + 3*y + 43. Let s be k(-13). Solve c = -s*w - c - 10, -w + 3*c + 15 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -25\/140224 and 97\/35056.\nAnswer: 140224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 114248 is divided by 2925.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -8.8, 2, -436, 0.5 in descending order.\nAnswer: 2, 0.5, -8.8, -436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -47 - ((-29 - -16 - 4) + 17).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 211*b**2*f**3*p**3 + 3*b**2*f**2*p**3 - 3*b*f**3*p + 2*b*f**2*p**2 + 49*f**3 - 4*f**2*p**2 - 2*p**3 wrt b.\nAnswer: 422*f**3*p**3 + 6*f**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 2*l + 6. Let i be f(-2). Factor 1358 + 3*r**3 + 895*r + 2429 - 37*r**2 - 331 + 545*r - 101*r**i.\nAnswer: 3*(r - 24)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m + 3. Let o(f) = 2*f + 7. Let z(u) = -3*o(u) + 7*v(u). Let r(k) = 7*k. Let n(q) = -r(q) + 5*z(q). Let y(c) = 7*c**2. Determine n(y(d)).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 141209.\nAnswer: 141209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2.6? (a) -301 (b) -543 (c) -3 (d) 1\/2 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -g. Let i(x) = 125*x**2 - x. Let b(n) = 2*i(n) + 6*m(n). What are the prime factors of b(-1)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 2*z + 2. Let x(m) = m**3 + 2*m**2 - 4*m - 2. Let l be x(-3). Let u be k(l). Suppose -3*t = 5*y - 269, u*t = -5*y + 2*t + 266. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x = 12*x - 195420. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 55 divide 288640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s**2 + 5*s + 3. Let g be y(-4). Is (-3)\/1 - 14\/g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 13398 and 153714?\nAnswer: 31203942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -3*l - 2*l + 3*l - 42 + 3*l + l. Let x(b) = -2*b + 37. Let d(k) = 4*h(k) + 5*x(k). Give d(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16848 greater than 421191\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand -21*i**5 - 5*i**5 + 8*i**5 + (0 + 0 - i)*(3*i**3 + 2*i**4 - 3*i**3).\nAnswer: -20*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3.518216 millimeters in meters?\nAnswer: 0.003518216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -59\/1450 and -43\/12?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p - 3*p - 3*n + 84, -5*p - n + 476 = 0. Let r be (9\/(-4))\/((-18)\/p). Solve -2*w + r = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 11781 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 29 (b) 39754 (c) 17\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the third derivative of 293*k**5\/60 + k**4\/8 + k**3\/2 - 27*k**2. Suppose 0 = -8*t + 9*t + 1. Is o(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r + 0*r + 3*r)*(r + 2*r - 2*r**2 - 5*r).\nAnswer: -2*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -0.3, -9 in decreasing order.\nAnswer: -0.3, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 196 - 64 - 12*y**2 - 71 - 73.\nAnswer: -12*y**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + i - 2 = 0, 5 = 2*z - 0*z + i. Suppose 4*n = r - 35, 4*r = 4*n - 7*n - 12. Let p be (6\/n)\/((-9)\/216). What is the highest common factor of z and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (52\/217)\/(144\/(-168)). Let b = x - -1213\/310. What is the common denominator of b and 37\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3b5661 (base 14) in base 15?\nAnswer: 2a7aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 5*n - 8 = 0, 93*a - 91*a + 2*n = 0. Let x(z) = -6*z**3 - 3*z**2 + 22. Let b(g) = -2*g**3 - g**2 + 7. What is a*x(o) + 7*b(o)?\nAnswer: -2*o**3 - o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 100557299.\nAnswer: 47, 59, 36263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 140*z**2 + 10. Let a(i) = -139*i**2 - 12. Let o(d) = 5*a(d) + 6*m(d). Let t(r) = r. Determine o(t(n)).\nAnswer: 145*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -25446877 at most as big as -25446916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 8? (a) 5 (b) -3\/2 (c) -0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 11200211112222 (base 3) to base 12.\nAnswer: a04898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 35 and 22855?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x - 4*p + 536 = 556, 3*x + 4*p = -4 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 523 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Do -51 and -978\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -12723 (base 8) in base 5?\nAnswer: -134322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 5 - 2 - 2 + 3 + t. Give g(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -10*x - 18. What are the prime factors of o(-7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x - 12 = w, -5*x = -4*w + 2*w + 21. Let v be -1*(x\/(-2))\/(21\/56). Is v*(-199)\/3 + (-5)\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 (base 11) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 2*s + 1. Let y(q) = -3*q - 2. Let t(n) = 8*d(n) + 5*y(n). Let l = 18 - 1. Suppose -3*m = -l + 5. Calculate t(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 246 minutes before 10:19 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -66*v**2 + 2188762*v - 132652.\nAnswer: -2*(v - 33163)*(33*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let -3*f**3\/5 + 12906*f**2\/5 + 1199289*f\/5 = 0. What is f?\nAnswer: -91, 0, 4393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 26 - 102 = 4*o, 3*p + 76 = -4*o. Let q = o - -23. Factor 38\/9*x**3 + 2\/9*x**5 + 32\/9*x - 8\/9 - 50\/9*x**2 - 14\/9*x**q.\nAnswer: 2*(x - 2)**2*(x - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 144 minutes before 8:31 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/5, -1, -100\/11.\nAnswer: -100\/11, -1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -5094186 + 267\nAnswer: -5093919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) be the third derivative of 0*s**7 + 0*s**6 + 3*s**2 + 0 + 0*s**4 + 5\/84*s**8 + 0*s**3 + 1\/10*s**5 + 0*s. Find the third derivative of h(u) wrt u.\nAnswer: 1200*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -3*-4*(-4)\/(-24). Let p be (-1 - f*-2) + -3. What is the third derivative of p*y**6 - 2*y**6 - y**2 - 2*y**2 + 6*y**6 wrt y?\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -157617614 divided by 11?\nAnswer: -14328874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -3\/14, -3\/5, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s**3 - 2*s + 5. Let x be h(-3). Let j be 8\/(-20) + x\/(-15). Let q = 47\/21 - 18\/7. Which is bigger: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 6 = -2*j. List the prime factors of j - -5 - (-2 + -26).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 618*x - 11466 = 219*x - 147*x for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 35*o**2 - 635*o - 570.\nAnswer: 5*(o - 19)*(7*o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -25\/4 and -109\/320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*a = 52 - 10. What is the closest to 1\/2 in -4, 0.01, 2, a?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 16 - 13. Suppose -m + 40 = b*m. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5555 + -5?\nAnswer: -5562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-13)\/(-15) + -1 + (-100)\/(-750). Solve 29*k - 32*k = q for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -y - 10. Sort 3, 5, y in increasing order.\nAnswer: y, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l - 28 = -2*g, -2*g + 8*l = 4*l - 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (77\/(-385))\/((35\/7)\/(-10)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4, 10, 16, 22, 28?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 682 minutes before 1:56 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9241?\nAnswer: 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that -3*r**5\/5 + 915*r**4 + 320958*r**3\/5 + 6376074*r**2\/5 + 29022789*r\/5 + 4592619 = 0.\nAnswer: -31, -5, -1, 1593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:53 AM and 12:05 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + t - 3*p - 3 = 0, 5*t - 22 = 4*p. Let v = -1 - t. Let f = 5056 + -5056.1. Which is the closest to 0.1? (a) -2\/7 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (34\/(-40) - -1)\/((-6)\/(-99)) and 2\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -51 - -54. Suppose 5*o - 470 = t*o. What is the highest common factor of 94 and o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.339 and -10.85?\nAnswer: 11.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -726 divided by 33?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -2*d**3 - 35*d**2 - 117*d + 3. Let n be k(-13). Which is smaller: 66\/17 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 570194.9g in micrograms?\nAnswer: 570194900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 162 - 168. What is the remainder when g + 2 + 1 - -112 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, -3, -36, -2\/5 in decreasing order.\nAnswer: 0.3, -2\/5, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1051, 1053, 1063, 1087, 1131, 1201, 1303, 1443?\n\"Answer: i**3 - 2*i**2 + i + 1051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oodqd. What is prob of picking 1 d and 2 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 16489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*t = -141 - 3. Suppose 5*h - 40064 = 3*u, -3*u = 13*h - t*h - 40046. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4 + 4b7?\nAnswer: 4bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 - -24b?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4667 and 69251?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 9*a**2 - 8*a**2 + 0*a**2 - 8*a**2. Let u(x) = 3*x - 1. Let i(k) = -12*k + 3. Let g(j) = -i(j) - 3*u(j). Calculate g(v(b)).\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1.1 - 0.8. Let q = 2.5 - 2. What is the third smallest value in b, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**27\/g*g*g**40 assuming g is positive.\nAnswer: g**67","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (13*u + 7*u - 4*u)*(0 + 2 - u + 5*u) in the form a*u**2 + j*u + g and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3129 + -3097. What is the greatest common divisor of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -2*o**3 + 30*o**2 - 3*o + 49. Let m be i(15). Solve -19 + m = 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-17)\/((-34)\/(-3))*-6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -180302, -360779, -541256?\n\"Answer: -180477*f + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vvvvvaavaavvvvvvvvv. Give prob of picking 1 v and 3 a.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let 2*k**3\/15 + 19972*k**2\/15 + 9785738*k\/3 - 4672039864\/15 = 0. What is k?\nAnswer: -5039, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2 or 1569\/947?\nAnswer: 1569\/947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:06 AM and 6:34 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (96\/(1920\/70))\/((-2)\/(-1)*-1)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes before 12:01 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = v**2 + 5*v + 1. Let c = 7 - 13. Is m(c) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20*n**2 + 2357*n**3 + 58*n**2 - 2353*n**3 - 4*n + 4*n.\nAnswer: 4*n**3 + 38*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.4 (b) 19 (c) -4\/11 (d) -1 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v + 3*z = -90, 2*v - 736 + 384 = 30*z + 492 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 245264*u + 1424 = 244908*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 9607 = -8*i + 9591 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the second derivative of 1\/2*s**4 + 5\/2*s**2 + 0 - 21*s + 1\/6*s**3 + 1\/20*s**5. Let l(y) = y**2 + 5*y - 2. Let x be l(-4). Determine t(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (3878\/(-441) - -8) + 4\/7. Let v = 13 + -12. Suppose 2*o + 2 = -5*j + 18, 6 = 2*j + o. Which is the second smallest value? (a) v (b) x (c) j (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 7967 and 1860?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -2*g + 2519, -2*g + 214*f + 2516 = 218*f. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w such that -w + 2\/7*w**4 + 3\/7*w**2 + w**3 - 5\/7 = 0.\nAnswer: -5\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -51 (base 11) in base 8?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z + 4*h - 32 = 0, 0*z + 5*h - 22 = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = v + 13. Let c be m(0). What is the highest common divisor of 169 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) be the third derivative of 0*a**6 - 2*a**2 + 0*a**7 - 29\/48*a**8 - 109\/24*a**4 + 0*a**3 + 0*a**5 + 112*a + 0. Find the second derivative of x(j) wrt j.\nAnswer: -4060*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -123*h**2 + 2*h**3 + 12 - 120*h**2 - 133*h**2 + 377*h**2 + 2*h**3 - 3*h in the form c*h + q*h**2 + l*h**3 + f and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -11248 or -3.4?\nAnswer: -11248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 327507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1721*s**4 + 13*s - 3 wrt s.\nAnswer: 20652*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/8425 or 1?\nAnswer: -1\/8425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 - -33?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = i**3 - 9*i**2 - 10*i + 27. Suppose 0 = 10*b - 120 + 10. Let n be s(b). Calculate the highest common divisor of n and 212.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-3813)\/(-7) - 10\/(-35)) + 0. Suppose z - f = -4*z. What is the remainder when z is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -85, -0.4, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17340.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand 10 + 0*r - 8 + 8*r + (2*r - 3*r + 0*r)*(5 + 0 - 4).\nAnswer: 7*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 12 + -2. Let r be 28\/5 - (-4)\/u. Suppose -3*a - 347 = 4*k - 345, 0 = a + k. Solve a*y = 3*z + 2*z - r, z = -y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) be the third derivative of o**5\/20 + 3*o**2. Let s(i) = 7*i + 6. Let c(k) = k + 1. Suppose 3 = -5*z + 2*z. Let j(t) = z*s(t) + 6*c(t). Give v(j(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1*(2 + -2))\/(-2). Let r(b) = b + 5 - 5*b + 5*b + m*b. Let p be r(-5). Solve -3*h - h + 20 = p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**25)**(-19) assuming u is positive.\nAnswer: u**(-475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:04 AM and 1:04 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -230 + 229 - (-1 - -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3703)\/46*456\/1596?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, j: 1, m: 1, c: 1, t: 1, h: 2}. Give prob of sequence zt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 49\/5 of a gram in milligrams?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d**3 - 17*d**2 - 35*d + 350. Give n(18).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-495)\/3)\/15*-2. Solve 0 = -d + 5*m + j, -1 = -32*d + 34*d - m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 2*v**3 - 14*v**2 + 5*v + 20. Let l be z(11). Find the common denominator of -71\/18 and 4\/(1960\/l) - (1 + 2).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -36*p - 445. Calculate the remainder when t(-17) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(1539) + -5 + sqrt(1539) + (1*sqrt(1539)*-1)**2 + (((sqrt(171)*-3*1 - sqrt(171)) + sqrt(171))\/(2*(1*sqrt(9) + sqrt(9)) - sqrt(9)))**2.\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, -0.43881, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 5\/4 of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2589 + -2584. Solve 3*d = 8*d + v*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 3808*q**2 + 4. Let a(l) = -952*l**2 - 1. Let n(k) = -9*a(k) - 2*b(k). Is n(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 232\/87 - 2\/6*-4. What is the biggest value in 4\/9, u, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -7*w**3 - 4 - 3 - 2 wrt w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y**2\/2 + 372161*y\/2 - 186081 = 0. What is y?\nAnswer: -372162, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*k - 13*k - 4*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(2695))\/((sqrt(11) + sqrt(11)*-2)*5))**2.\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 168 and 3411954.\nAnswer: 13647816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 491812903 to the power of 1\/2, to the nearest integer?\nAnswer: 22177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y = -f + 28, 3*y + 42 - 10 = -3*f + f - 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -89*s**2 + 89*s**2 + 11*s**3 - 1 + 1 + s**3 + (-s - 2*s**2 + s)*(0 + 0 - 2*s).\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2178 - -8896. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/42)\/(8*(-18)\/1440)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 180 and 2060.\nAnswer: 18540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2 + -1 + (3 - 1). Suppose 3*q - 10 = -2*z, 20 = 5*q + 5*z - z. Let r = -14 + 20. Solve q = -n + h*n - r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 149 = 2*a - 57. Suppose -3 = 4*v - a. Calculate the remainder when v is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gfgv. What is prob of sequence fggv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 155 (base 9) to base 3.\nAnswer: 11212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the third derivative of 7*p**5\/20 - 2*p**2. Let o(u) be the third derivative of 12*u + 0*u**4 - u**2 + 0*u**3 + 0 - 1\/30*u**5. Determine r(o(i)).\nAnswer: 84*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 133528?\nAnswer: 2, 16691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 382*a = 1223 - 77. Let v(y) = y**2 - 5*y + 3. Let r be v(5). Solve -r*u = -3*n - 6, a*n = -2*u + 6*u - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -601, -2130, -4673, -8230, -12801, -18386?\n\"Answer: -507*t**2 - 8*t - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 45, 85, 121, 153?\n\"Answer: -2*r**2 + 46*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 907 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -13*t. Let w(d) = -5611*d. Give w(y(k)).\nAnswer: 72943*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v**3\/3 + 62464*v**2\/3 - 6226198*v\/3 - 6288664\/3 = 0 for v.\nAnswer: -1, 101, 31132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 78968 and 43712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r + w + 2 = -3*r, -3*r + 4*w = 22. Let t be 0 + (r - (-71 - 1)). Suppose -6*x + x + t = 0. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -2*h + 6. Let i(g) = g + 1. Let n be i(3). Let d be j(n). Calculate the lowest common multiple of 12 and (1\/d)\/(4\/(-160)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -26*a**3 - 2*a + 0 + 25*a**3 + 10*a**2 + 5*a**4 - 5 - 10*a**2 in the form s*a + m*a**4 + x*a**2 + b + o*a**3 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + 5 + (sqrt(272) + 2)**2)*-3.\nAnswer: -828 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 393134 to the power of 1\/2, to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 30*u + 53*u**2 - 42 - 30*u - 34*u**2 - 31 to the form v + n*u**2 + t*u and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:00 PM and 2:46 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 340*u - 30. What is the smallest common multiple of 496 and w(1)?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*w + 34*w + 91724 = 0. Is 12 a factor of (w\/2*-1)\/(-13 - -15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3\/1 - (-2 + 3). Suppose l*d - 9 = -d. Solve d*x + 2 = 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -k - 3. Let m be v(-3). Suppose m = 2*x + 635 - 1911. Suppose 2*b + b + a = 384, x = 5*b + a. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 3*l = 4*l - 26, u - 4*l = 0. Suppose u = -2*f, 3*f = -3*v + 4*f + 10. Put v, 6, -2 in increasing order.\nAnswer: -2, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = 1 + 5. Suppose 1 + w = -3*s. Let o = 4 + s. Solve 4*i = 9 + o, 17 = 5*g - i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -36 + 33. Which is the second biggest value? (a) 2 (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -508 + 887. List the prime factors of z.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (1820\/(-16) - 0) + 6\/8. Let f = -153 - -90. Let u = f - j. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d**3 + 3*d**2 + 3*d + 1. Suppose -c = -4 + 1. Suppose b = c*b. Suppose -2 = -t, p - 5*t - 9 + 21 = b. Determine y(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3682*a**3*h + 2*a**3 - 13075*a**2*h - 3*a**2 + 62*a - 27625 wrt h?\nAnswer: -3682*a**3 - 13075*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 874300 is divided by 874283.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 130294177.\nAnswer: 13, 307, 32647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -6*n + 22. Let m be y(6). Let f be (-12)\/28 - 104\/m. Calculate the greatest common factor of 77 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 13, -36, -15, -5, 125, 11 in ascending order.\nAnswer: -36, -15, -5, 0, 11, 13, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w and 1 z when three letters picked without replacement from wvfgfzfjfwgg?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**2 + 4*d - 167. Let s(b) = -3*b**2 + 14*b - 503. Give -7*a(c) + 2*s(c).\nAnswer: c**2 + 163","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 2*m = 13, 2*m - m = -5*t + 29. Let p(v) be the third derivative of -v**4\/12 + 8*v**2. Let l(f) = 4*f + 2*f - 4*f. What is t*p(d) + 6*l(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -62 + -55 + 61 - -87?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.3 and -8727.\nAnswer: 2618.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -94026 smaller than -93995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*u - 4*v - 64, -2*v + 59 = -8*u + 3*u. Suppose -5*l = -5*n, 6 = -9*n + 12*n - 5*l. Put -1, u, 5, n in increasing order.\nAnswer: u, n, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -199423 at least -199421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 2*r**2 + 2*r + 6. Let p(k) = -1. Let s be (-2)\/(-3)*36\/24. Calculate s*b(m) + 6*p(m).\nAnswer: 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*c**2 - 4*c**2 - 2*c**2 + 0*c**2 + 14*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1933876 and 168?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r be 26\/(-22) - (-50)\/275. Which is the nearest to -0.1? (a) -2 (b) r (c) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u - 2*i + 6*i + 45 = 0, -4*u = 58*i + 16*i - 64*i + 104 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1021050927 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(4*((0 + sqrt(192))**2 + sqrt(192))*-4 + ((-1*sqrt(81))\/sqrt(9))\/sqrt(3) + 4).\nAnswer: 129*sqrt(3) + 3068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -95*w - 99*w + 2104 = 69*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -15509220 divided by 6\nAnswer: -2584870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -7*l**2 - 5. Let j = -1 - 0. Let r(a) = a**2. Let y(u) = -134*u - 2685. Let i be y(-20). Calculate i*r(s) + j*m(s).\nAnswer: 2*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -2 times 9.59858\nAnswer: -19.19716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((((-520)\/(-96))\/13)\/(1\/(-4)))\/(60\/2412).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 57525523686335 minus -4?\nAnswer: 57525523686339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19536 divided by 3.\nAnswer: 6512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9 + 258\/24)*(-43 - 38236\/(-924)).\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5.3 + -10.3. Let s = 72.6 - 73. Let r = 76.7 + -77. Which is the fourth smallest value? (a) -0.02 (b) s (c) r (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 152.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 689*v + 645*v - 417*v as q*v + s and give q.\nAnswer: 917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Add together 7.4 and -7.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 2 = 10. Suppose 5*m - n*m - 20 = 5*b, -5*m - 2*b - 8 = 0. Suppose -84 = -3*y - m*y. Solve 5*p - v = -y, -5*p = -5*v - 4 + 44 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 6*u - 4. Let z be q(-28). Let j = -168 - z. What is t in -2*t + 4*t**3 + 4\/3 + 4\/3*t**j - 8\/3*t**2 - 2*t**5 = 0?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2120396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -5*t. Let v(f) = 4239*f. Determine y(v(w)).\nAnswer: -21195*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 10972*u + 64688. What is h(-6)?\nAnswer: -1144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -34508.69 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 10 + -7. Solve -5*f - 2 - i = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 93\/(-4) + (-6)\/8. Let n be (4\/6)\/(g\/(-324)). Let i = 22 + -25. Which is bigger: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l + 36 = -4*l - 4*y, 2*y = 4*l - 60. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/18 in -4, 1\/4, 598, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.6? (a) -1\/226 (b) -0.07 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence clcs when four letters picked without replacement from bcbsyblyycscblybc.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*o**2*u*z - 11*o**2*u - 30816*o**2*z - 17*o*u*z - 338*o*u + 284*o*z wrt o?\nAnswer: -4*u*z - 22*u - 61632*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 657 minutes after 2:08 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*l - 12*l = 5890. Let h = l - 210. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -15*x + 69. Let g be p(4). Solve 0 = g*s - 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3147616 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -104980, 2, 4, -1 in ascending order.\nAnswer: -104980, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f + 4*x + 2 = 0, -5*f - 25 = -13*x + 18*x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -u**3 + 7*u**2 - 10*u + 9. Let c be z(7). Let s = c - -63. Solve -q + 2 + 1 = -j, 0 = q + s*j + 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 21 - 1. Let w = -25 + s. What is the nearest to 0 in w, 3\/5, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 60132863 is divided by 706?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1331040882.\nAnswer: 2, 3, 221840147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 5212*q**3 + 4 - 15624*q**3 + 5211*q**3 + 5205*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -400, -741, -1026, -1261, -1452, -1605, -1726?\nAnswer: -1821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -2*p**2 - p**2 + 4*p**2 - 3*p. Let w(r) be the second derivative of -r**5\/20 + r**4\/6 - 4*r**3\/3 - 663*r + 1. Determine -8*s(o) + 3*w(o).\nAnswer: -3*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-3)\/s*s**(-3)*(s**(-7)*s)\/s*s**(2\/9))\/(s*s*s**(4\/7)*s**3*s\/(s\/s**(1\/8))*s**0\/s) assuming s is positive.\nAnswer: s**(-9311\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -q**2 + 4*q + 4. Let u(k) = k**3 - 4*k**2 - 5*k + 4. Suppose 4*t - 15 = t. Let f be u(t). What is j(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-8)\/(16\/(-50)) + -4 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pnpppnnnnnnpnnnnnnnn. Give prob of sequence pn.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11984 - 53744 = -64*l. What is the highest common divisor of 26 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.26 + 31.74. Let t = k - 32.013. Round t to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence llp when three letters picked without replacement from plppplpppppplpp?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 3*r**2 - r + 1. Let b(g) = -10*g**2 + 3*g - 3. Determine -2*b(m) - 7*c(m).\nAnswer: -m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1859 and 9295.\nAnswer: 9295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-b - 3*b + 6*b)*(-4*b - 2*b + 13*b)*(-5 + 3 + 1).\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-57)\/(-3) + 2 + -1. Suppose -a - 4*a + q = 0. Suppose 165 = a*u + u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2*(-3)\/(-9))\/((-10)\/3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 - 2 + 5)*(0*b**2 - b**2 + 2*b**2 + (544 - 544 - 72*b)*(-3*b - b + 2*b)).\nAnswer: -290*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 1624116556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -170*m**3 + 6*m**2 - 268. Let o(q) = 170*q**3 - 9*q**2 + 269. Let y(u) = 4*o(u) + 6*z(u). Find the first derivative of y(l) wrt l.\nAnswer: -1020*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-2)\/4)\/((-4)\/104). Let x be (-2 - 6\/(-4))*(c + -23). Solve -y + u = -2*y - 3, 0 = -x*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1789 - -1794. Which is the nearest to -3? (a) y (b) -4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 1387 and 0.198289.\nAnswer: 1387.198289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -2*r. Let n(c) = -2465*c + 18. Determine n(o(z)).\nAnswer: 4930*z + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3 - 1. Let d(k) = 2*k**2 + 9*k - 18. Let h be d(-8). Suppose 0 = -4*b + 3*j + 28, 5*b + 2*j - h = s*b. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9.716605 tonnes in micrograms?\nAnswer: 9716605000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 784556.\nAnswer: 2, 196139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = g**2 + 11*g + 18. Let p be z(-9). Suppose 2*l = q + 2 + 3, -q + 3 = p. Let y(a) = -l*a - 7*a**2 + 6*a**2 + 5 + 2*a**2. What is y(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that -l**4\/3 + 44*l**3\/3 - 388*l**2\/3 - 704*l - 768 = 0.\nAnswer: -2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 376 minutes after 5:30 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 14 + -10. Solve s*f = -2*f + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -21 - -38. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -7*o. Let i be 0 + (-12)\/4 + (-10)\/(-2). Let k(f) = 0*f + 0*f + f - i*f. Calculate x(k(g)).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2\/8 - (-486)\/168. Let u = 24\/7 - a. Let o = -386 - -334. Put 0.2, o, u in decreasing order.\nAnswer: u, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 171, 344, 521, 702, 887, 1076, 1269?\nAnswer: 1466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c**(1\/5)*c**4)**(6\/11))**(-14))**28 assuming c is positive.\nAnswer: c**(-49392\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -u**3 - 34*u**2 + 61*u + 22. What is the remainder when q(-36) is divided by 108?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 12 = 2*m. Let r(x) = 2*x - 5. Let q(w) = 2*w - 6 - 2*w + 3*w. Calculate m*r(y) + 5*q(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1466646 - 10?\nAnswer: 1466636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (5 + (sqrt(180) + 1 - sqrt(180)) + 5)*5 + (-2 + sqrt(180) + 3 + sqrt(180) + sqrt(180) + -5*(sqrt(180) - 1*sqrt(180)))**2.\nAnswer: 36*sqrt(5) + 1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (66\/(-44))\/((-30)\/16)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f*f**(-2\/33)*f*f*f)\/f**(1\/7))\/(f\/f**(3\/2)*(f\/(f**0*f))\/f) assuming f is positive.\nAnswer: f**(2909\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 49610.52 millilitres?\nAnswer: 49.61052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the first derivative of -11*d**3\/3 - 1. Let q be -8*(-2)\/(8 - 4). Let i(c) = 3*c**2 + 2*c**2 - q*c**2. What is t(i(s))?\nAnswer: -11*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, -0.15, -1\/8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -z**3 - 5*z**2 - 2*z - 7. Let l be n(-5). Let f be 1\/3*15 + 1. Suppose f = -8*y + 11*y. Solve -2*q - 5*p = 1, q + 3*p + l = y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 15 + (7 - -3) + -4. Suppose t*j - 2999 - 424 = 0. What are the prime factors of j?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -123, -1, -4, 27, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 231 = 4*z. Let d = 326 - z. What are the prime factors of d?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1717594 is divided by 7702?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(65)\/sqrt(5))**2 + 3 - (-2 + sqrt(117))**2 - sqrt(156)\/(-4*sqrt(972) + sqrt(972)).\nAnswer: -105 + 325*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 812*h - 96 - 20 = 4*z + 838*h, -4*z = -3*h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (8\/40)\/((-2)\/6)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 8*j**2 - 5*j - 7. Suppose 21*r = -15*r + 180. Let z(f) = -9*f**2 + 6*f + 8. Let u be 1*(-16)\/(-4)*12\/8. Calculate r*z(c) + u*l(c).\nAnswer: 3*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*v + 9*v + v)*(4*v - 4*v + 2*v).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the first derivative of -v**2 + 4*v - 12. Give y(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -15*m**2. Let r(u) be the second derivative of u**4\/12 - 27*u**2 - 790*u. Calculate l(r(c)).\nAnswer: -15*c**4 + 1620*c**2 - 43740","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 greater than or equal to -13260402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 4764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be -10*-4*(-4)\/32. Suppose -2*w - 6 = -w. Is w < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vxvvzxvz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y**3 - 6*y**2 + 4*y + 3. Let q be g(-6). Let n = q + 57. Let o = n + -33. Solve 0*u - u = o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 156 divide 79800017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tmgd when four letters picked without replacement from {y: 2, g: 1, d: 3, m: 13, t: 1}?\nAnswer: 13\/38760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 554+-2006.2\nAnswer: -1452.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 10096851 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 7387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3\/(-2) - ((-42)\/4)\/7. Suppose 9*c + f*c - 90 = 0. Calculate the smallest common multiple of 15 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 18*i + 76 - 22 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (sqrt(80) - 4*sqrt(80)))**2 + sqrt(80) - (sqrt(5)*1 + 5 + 4).\nAnswer: -93*sqrt(5) + 727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -8*o**2 + o - 7. Let b be g(2). Let c = b - -41. Find the third derivative of -16*f**4 + f**4 - 19*f**c + 12*f**2 wrt f.\nAnswer: -816*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 3*c + 8 = 0, -c + 2 = 3*b + c. Suppose b*k - 10 = -3*k. Suppose -2*v - 2*q = k*v - 46, -q + 33 = 3*v. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a + 3 - 3)*(1 + 3*a - 1)*(-2 - 1 + 6).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 7229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1374.7 take away -3?\nAnswer: 1377.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 734574159 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in m + 2*m - 4*m - 5*m**2 - 313*m**2.\nAnswer: -318*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 7*y**3 - 2*y**2 - 2*y + 2. Let a(n) be the first derivative of 9\/2*n**2 - 9*n - 27\/4*n**4 + 3*n**3 - 6. Give 2*a(p) + 9*o(p).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 3*u + 7. Suppose 4*s + s - 20 = 0. Let a(d) = d - 8. Let p be a(s). Let c(x) = -2*x - 6. Let i = -29 + 24. What is i*c(m) + p*k(m)?\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 4) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l + b - 0*b - 468, -5*l + 456 = -3*b. Let s = l - 91. Suppose -s*c = 2*u - 7*u + 4, 16 = 5*u + 2*c. Sort -4, -5, u, -3.\nAnswer: -5, -4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2a89 - 282?\nAnswer: 2807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3.826 + -0.174. Which is the closest to 0? (a) o (b) -0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21521609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.3 + 0.34. Let f = -0.18 - 0.26. Let c = r + f. Sort 0.5, -3, c in ascending order.\nAnswer: -3, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1100)\/(-176)*4\/1\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(1\/3))**44\/(c**(-2\/23)\/(c**(-3\/5)\/c*c)))**18 assuming c is positive.\nAnswer: c**(29298\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = -12, -j = -0*u - u + 1. Suppose -j*k + r = 13, -k - r - 8 = -2*r. Calculate the least common multiple of 5 and (k - -3) + 1*6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 200998731 divided by 1.\nAnswer: 200998731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 9*g**3 - 45*g**2 + 101*g - 492. Suppose 0*p = -4*p + 232. Calculate the remainder when p is divided by f(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50 = 5*j - 0*j. What is the least common multiple of 2*(-1)\/(-4)*2 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1446, 11397, 38422, 91059, 177846, 307321, 488022, 728487?\nAnswer: 1037254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 56 (base 11) in base 6?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*a*j*q**5 + a*j*q**3 - 2*a*j*q**2 - 2*a*j*q - 9*a*q**3 - 125*q**2 wrt q.\nAnswer: 120*a*j*q**2 + 6*a*j - 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -146*c + 405. Determine j(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -28 - (0 + -27 - (-2 - 9) - 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 0 = -2*z + 4, -3*o + 9 = 0. Let f = 43 - z. Suppose 3*s - f = -8. What is the greatest common factor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -g - 4*z, -6*z = -5*g - z - 25. Let c be (-6)\/(-12)*(-368)\/g. Find the common denominator of (1\/((-18)\/c))\/4 and -52\/33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by -16226874.\nAnswer: 1\/5408958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 3*i + 50 = 0. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the second derivative of -j**7\/630 - j**6\/360 - j**4\/4 + 2*j. Let r(i) be the third derivative of c(i). What is the second derivative of r(t) wrt t?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -7.7 in -5, 3\/4, -1\/4, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q, 1 w, and 1 v when three letters picked without replacement from {v: 4, q: 1, y: 2, l: 1, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/b**2)**13\/((b**(-2\/43)\/b)\/b**(2\/15)) assuming b is positive.\nAnswer: b**(-7624\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-42)\/(-4) + (-8)\/(-16). Suppose h*b = 6*b - 75. Calculate the common denominator of -19\/8 and 193\/(-6) + (-10)\/b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 3*b + 11 = -7, 3*b + 9 = 0. Let y be -2 + a - (2 + -1). Suppose 10 = 2*f - y*f. Solve f*z = -0*z + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -73*r - 133*r + 18*r to z + g*r and give g.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t + 31 = -3*f, -4*t - 3*f = -8 - 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 7708749039.99999987 - 7708749008. Let k = 6.7 - -25.3. Let o = a - k. Round o to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 15 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 65 not equal to -10.82329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/((m**(-3)\/m)\/m))**(-1\/3) assuming m is positive.\nAnswer: m**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.3? (a) 7.5 (b) 4 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 13, 1348, 3\/5 in increasing order.\nAnswer: -2, 3\/5, 13, 1348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = 3 - 9. Let f(z) = -5. Let g(b) = 6. Let s(c) = -5*f(c) - 4*g(c). Let m(k) = -5 + 4*k - 5*k - 3. What is h*m(r) + 18*s(r)?\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 212 (base 3) to base 12.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.7 in 4, -1, 0.4, -4\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-16)\/4)\/24*-8. Suppose 0 = 928*l - 883*l - 135. Factor -2\/3*f + 5\/6*f**l + 0 - v*f**2.\nAnswer: f*(f - 2)*(5*f + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and 296.\nAnswer: 59.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 164135.88 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 16383539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*y - 14*y - 3*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12349?\nAnswer: 53, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 2*u + 2)*(2904*u**3 - 24*u**4 - 2904*u**3) - u**5 + u**5 + u**5 + (-u**3 - 2 + 2)*(0 - 2*u**2 + 0) + 0*u**4 + 0*u**4 - u**5.\nAnswer: 50*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3386474?\nAnswer: 2, 7, 13, 23, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(128)\/sqrt(4))\/sqrt(4) + ((sqrt(2) - (sqrt(80)\/sqrt(4) + sqrt(20))\/sqrt(10))*3)**2.\nAnswer: 2*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -3*b + 2. Suppose 2*a + 11 = -2*z + 5*z, 3*z - 4*a - 13 = 0. Give f(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 times -65.951088?\nAnswer: -13.1902176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 95094 to the power of 1\/2, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.0519 - -0.0519. Let y = -0.1 - -0.1. What is the nearest to y in w, -5, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1265 and 10235?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -44*n**2 - 44*n - 44. Let l(q) = q + 1. What is -44*l(k) - s(k)?\nAnswer: 44*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0818 times -37.298?\nAnswer: -3.0509764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 79, -3, -39938 in increasing order.\nAnswer: -39938, -3, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = 55.7 - 56. Which is the closest to t? (a) -4 (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -90*h**2*t*w**2 - 369*h**2*w - h*t*w**2 + 811*h*t - 7*h*w**2 with respect to t.\nAnswer: -90*h**2*w**2 - h*w**2 + 811*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wuwwwqwwcxcqqwcq. Give prob of sequence ux.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-14)\/224*-88 - 5\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -539 - -800. Calculate the greatest common factor of 29 and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -31914838200 rounded to the nearest 1000000?\nAnswer: -31915000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7) + 1)**2 - sqrt(7)) + sqrt(7) + 5 - (sqrt(14)\/sqrt(2) + 3).\nAnswer: sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -16.2897055 to 3 decimal places.\nAnswer: -16.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = -14\/177 - -2933\/531. Calculate the common denominator of 10\/7 and o.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0034013658 rounded to 6 dps?\nAnswer: -0.003401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/22 + (-1428)\/187.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3511130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 4 + -72?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1\/335 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 5*y + 90. Calculate t(-9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 5, 7\/3, 1\/20, 84?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from {d: 4, l: 3, x: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.190871 - -0.2.\nAnswer: 0.390871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = -98685 + 98546.931. Let o = -0.0316 + -137.9684. Let k = o - p. Round k to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the third derivative of -5*q**4\/12 - 4*q**3 - 22*q**2 + 1. Let v(d) = -20*d - 51. Let m(p) = -5*i(p) + 3*v(p). Differentiate m(s) wrt s.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from {y: 5, p: 3, r: 3, v: 4, m: 4}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 5*h. Let t(f) = 511 - 1213 + 985*f + 701. Calculate b(t(w)).\nAnswer: 4925*w - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 770698?\nAnswer: 2, 181, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1298 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**3 - 20*t**2 + 635*t - 1407. What is p(-38)?\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 5522*l. Let k(c) = 188*c - 46*c - 51*c - 42*c - 50*c. Calculate w(k(i)).\nAnswer: -5522*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/(2\/(-6) - -1). Let k(f) be the first derivative of -f**3\/3 - f**2\/2 - 1. Calculate k(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:52 PM and 9:27 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i = -i + 2*i - 11*r - 38, -10 = 5*r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 99923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/((s\/(s**(2\/11)\/s))\/s)*s*s**(2\/3))\/(s\/s**(2\/11)*s\/(s\/((s\/((s\/s**5)\/s*s)*s)\/s))))**(7\/3) assuming s is positive.\nAnswer: s**(-917\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 14*r - 2354 - 852. List the prime factors of r.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-6)\/(-15))\/((-2)\/(-20)). Suppose 5*h = -2*j + 3*j + 5, -4*h = -8. Let y be ((-142)\/994)\/(2 + (-45)\/21). Solve -b*p - j = -y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17367?\nAnswer: 3, 7, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 6*n = 7*n + 52, 0 = 3*l - 4*n - 64. Let f be (-8)\/(-15) + l\/(-120). What is the closest to -4 in 3, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 14 and 6936946.\nAnswer: 48558622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 18740 and 11244.\nAnswer: 56220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3930)\/70 - 11 - (-2)\/14. Let h = s + 108. Suppose 485 = 2*c - 171. What is the highest common divisor of h and c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -937 + 936.95. What is the third biggest value in 8\/7, -0.1, f, -2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1.86 * -1.3\nAnswer: 2.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 2*v**2 + 148. Let l(g) = 9*g + 1. Let c(t) = -35*t - 3. Let i(n) = -c(n) - 3*l(n). What is i(p(y))?\nAnswer: 16*y**2 + 1184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 89867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-123)\/(-164))\/((-6)\/(-1384)). Round l to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 76*i = -815*i - 119*i + 46460 for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 4 times 6.68\nAnswer: 26.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 26? (a) 0.1 (b) 112\/5 (c) 191\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4\/(-46) + 88102\/2254. Suppose v*l + 5*l = 19756. What are the prime factors of l?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 35 - 31. Let w(n) be the third derivative of -1\/120*n**5 + 0*n - 3*n**2 + 0 + 1\/24*n**v + 0*n**3. Factor w(m).\nAnswer: -m*(m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhowwaanah. Give prob of sequence whn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*h + 40*h - 50 = 0. Solve h*v = 3*q - 16, -2*v - 3 + 11 = 3*q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-9 - -20) + -20 + 9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 2857 = 4*b, 3*g + 3525 = 89*b - 84*b. Let k be 35 - -1*(0 + 1). Suppose -6*r + b = -k. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 69 divide 4278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -298284487*c*n**2 - 17*c*n + c + 7*n - 302961 wrt n?\nAnswer: -596568974*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**3 - 35*r**2 + 80*r - 458. What is m(33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:21 PM and 12:11 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -62670*-0.1.\nAnswer: 6267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 820520, 1641086, 2461652?\n\"Answer: 820566*l - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from mdimdmkiddddii.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -552375*x**2 - 851643*x?\nAnswer: -1104750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in eleven quarters of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 7*j - 2. Calculate c(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is a57 + 2?\nAnswer: a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qdv when three letters picked without replacement from dqvsqdn.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u - 3*u = -2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-1\/3)\/((x\/(x*(x*x*x\/x**(-6)*x)\/x*x)*x)\/x))\/((x**(-1)\/x)\/((x*x\/x**(-6)*x)\/x)) assuming x is positive.\nAnswer: x**(59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-8 - -8) + (-687)\/(-1). Let k = f - 327. Is k a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41841?\nAnswer: 3, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l - 2*f - 29 + 75, f = 4*l - 42. Suppose 15 = -l*o + 35. Let n(q) = 3*q - 4. Let i be n(3). Sort -6, i, o.\nAnswer: -6, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 3 + 4)*(1 - 1 - i) + 3*i + 4*i + 0*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u**3\/3 + 104*u**2\/3 + 256*u + 384 = 0 for u.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 2708062 = -i - 8497950, 0 = -2*o + 6. Round i to the nearest one hundred thousand.\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 13389*w**4 + w**3 + w + 840.\nAnswer: 160668*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:07 AM and 2:07 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 3 + 2 = -3*y, -2*y = 5*g - 30. Let z = g - 13\/3. What is the closest to z in -4, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -371, -373, -377, -383?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 10) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vv when two letters picked without replacement from {x: 1, u: 2, e: 1, t: 1, g: 2, v: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 261146852.\nAnswer: 2, 31, 47, 44809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*s**2\/7 - 697548*s\/7 + 15452570.\nAnswer: -2*(s - 155)*(s + 348929)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/(-7))\/((-18)\/126).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 703 - -361?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -373*d**4 + d**3 - 174*d**2 wrt d?\nAnswer: -8952*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -891, -335, 4 in decreasing order.\nAnswer: 4, -335, -891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -22*f**2 - 99*f + 73. Calculate p(-4).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1570\/1413)\/(10\/(-36)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 76 = b, 3*m = -4*b + 2*m + 304. Suppose 0 = 5*p - t - 89, -b = -4*p - 0*p - 4*t. Suppose s - p = -s. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -t - 6 = 3*m, 4*t + 12 = -0*t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-377 + 21 - 17)*(-2*s**3 - s**3 + 2*s**3) + (-2*s**2 + 2*s**2 - s**3)*(-5 + 4 + 2).\nAnswer: 372*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.3 and -14496262214.\nAnswer: -14496262213.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ovqs when four letters picked without replacement from qquuosvr?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-9))**(4\/3))**(-15) assuming t is positive.\nAnswer: t**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 4.1, 6, 2\/3 in decreasing order.\nAnswer: 6, 4.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = 3*r + 5*v, 2*r + 144875*v = 144869*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*g - 2*g = -44. Suppose -2*u - 1 = -9. Suppose 3*o + 6 = u*f, 4*f - 3*o = -2*o + 10. Solve g*q - 5 = h, -3*h + q - f*q = 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4985111257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -132574 = -2*d + c, -12*d + 2*c - 66297 = -13*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 37 and 2294.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 2*k = -1, 3*a + 51*k - 55*k - 11 = 0. Let t = 5 + -2. Suppose -t*c - 3 + a = 0. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 20214 divided by 20214\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1070, -2184, -3298, -4412?\nAnswer: -5526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at least -2\/30385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 2*t = t + 6, 10 = 5*o + 5*t. Let k(m) = m**2 - 5*m - 2. Give k(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -41016, 2255.\nAnswer: -41016, 0.2, 2255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 2*t**3 - 28*t**2 + 28*t - 14. Let i be c(13). Solve -5*b + 9 = -l - 19, -l = 3*b - i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*y - 2*y + 3*y)*(-3 + 10 + 4 + (1 + 1 + 0)*(0 + 1 + 0)*(3 + 2 - 4)) in the form q + m*y and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -201*v**2 + 70*v**2 + 13*v + 2 - v**3 + 62*v**2 + 70*v**2. Give y(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -27*i - 23*i - 86 - 264 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 4812, 4811, 4810, 4809, 4808, 4807?\n\"Answer: -g + 4813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-70 + 94)*3\/27.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*d + d + d)*(5*d - 3*d + 0*d)*(2*d + 40*d - 11*d + (1 + 2*d - 1)*(-3 + 1 + 3)).\nAnswer: 132*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -10 - 6*z + 3*z + 10*z - 3*z. Let y = -2 + 8. Let f be u(y). What is the highest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/((200\/(-280))\/(9\/((-18)\/(-5))))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 118*i - 731*i - 518*i**2 + 475*i**2.\nAnswer: -43*i**2 - 613*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2 + (-2192)\/4 + 3. Suppose -404*w + 2430 = -413*w. What is the units digit of 2\/(i\/w - 0 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.07, 0.5, 10, 0 in descending order.\nAnswer: 10, 0.5, 0, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (84\/63*-6)\/((-2)\/(-1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = j - 4*t + 81 - 82, -3*j - 7*t - 18 = 2*t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -8663b (base 12) in base 8?\nAnswer: -532017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -3*n**3 - 7*n + 7. Give s(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 20836383 and 1181?\nAnswer: 20836383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = 257 + -257. Suppose o = -11*m + 4*m + 224. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(2\/29)\/(s*s*s*s*s\/(s*s**(-14)*s)*s)*s**(-14)\/(s\/(s**(-1)*s)) assuming s is positive.\nAnswer: s**(-955\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 827.6122 centuries to years.\nAnswer: 82761.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-3\/8)\/(y**(1\/7)\/y)*(y*y*y\/y**(-9)*y*y)\/(y\/y**(1\/11)))**(1\/44) assuming y is positive.\nAnswer: y**(8361\/27104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 16 = s. Solve -4*y + s = -3*r, 0 = 2*r - 2*y + 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 7*z**2 - 120*z - 95. Is q(-62) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -2778*n**2 + 13890*n - 9260. Let o(m) = 3*m - 2. What is -k(i) + 4630*o(i)?\nAnswer: 2778*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 67527569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that -2*b**2\/9 + 2944*b\/9 - 1083392\/9 = 0.\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqqaaaqaauanytatqtan. What is prob of picking 1 n and 1 q?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.3 (b) -0.4 (c) 0.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.6690513426574 - 1.\nAnswer: -0.3309486573426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-9)\/21 + (-76)\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 65*w + 49. What is v(-3)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8362043 rounded to three dps?\nAnswer: 0.836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the first derivative of y**5\/90 - y**4\/54 - y**3\/27 + y**2\/9 + 3*y - 2. Let j(z) be the first derivative of a(z). Factor j(c).\nAnswer: 2*(c - 1)**2*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1899, -1899, -1897, -1893, -1887, -1879, -1869?\n\"Answer: d**2 - 3*d - 1897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 355 minutes before 1:13 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -25625+836135570\nAnswer: 836109945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = 58.56 + -110.31. Round x to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -950080, -1900082, -2850082, -3800080, -4750076?\n\"Answer: o**2 - 950005*o - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = c**4 + c**3 + c**2 - c + 1. Let r(o) = 6*o**4 + 12*o**3 + 12*o**2 - 12*o + 54. Let i(d) = -12*l(d) + r(d). Find the first derivative of i(m) wrt m.\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 94*o + 26. Calculate the remainder when 238 is divided by l(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*r = 13*r - 1767850. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.33 in 2\/3, 4, 37\/5, 7, 17?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -245123357600150 take away -0.4?\nAnswer: -245123357600149.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 324\/216*15\/((-45)\/26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-18)\/(-3))\/((-6)\/(-4)). Put 8, -4, n, 5 in decreasing order.\nAnswer: 8, 5, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/26*624\/(-156)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rraxekk. What is prob of sequence ekx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4166317?\nAnswer: 4166317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 55, 65, 55, 13, -73, -215, -425, -715?\n\"Answer: -2*v**3 + 2*v**2 + 18*v + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 245 and 6340?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 922 - 3725\/4. Let q = g + 251\/28. What is the closest to -1 in -0.5, 3\/7, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-8)\/(r*r*r\/(r*r*r*r**(-5)*r*r)))\/(r\/((r\/(r**(-11)*r))\/r)*r\/r**13) assuming r is positive.\nAnswer: r**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-2\/9)*m*m*m*m)**(-7\/2)\/(m**6)**(-2\/91) assuming m is positive.\nAnswer: m**(-10721\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 1409 = -5*d - 140, 4*t + 3*d - 1259 = 0. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.4 - -6.4. Let m = p + -5.9. Are 0.18 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 25386, 50739, 76036, 101247, 126342, 151291?\n\"Answer: -5*t**3 + 2*t**2 + 25382*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 58.37976 milligrams to grams.\nAnswer: 0.05837976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -2*x - 7. Let w(u) = 11*u**2 + 3*u + 2. Let h be w(-1). Suppose 0 = 4*i - 5*p - h, -5*p = -i - 0*i - 5. Determine o(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the second derivative of -w**5\/120 - w**4\/16 - w**3\/6 + 15*w**2 - 42*w. Let o(k) be the first derivative of n(k). Factor o(r).\nAnswer: -(r + 1)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 2832 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4\/(-14) + (-2628)\/(-84). Suppose -5*p + p + 20 = 0. What is the third derivative of -20*k**2 - 7*k**6 - 64*k**5 + q*k**p + 33*k**5 wrt k?\nAnswer: -840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 936810.21 hours to weeks.\nAnswer: 5576.25125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 290075963 times 4\nAnswer: 1160303852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -11221000440 (base 5) to base 3\nAnswer: -212211210201011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -z**3 + 6*z**2 - 7. Let q be x(6). Let r(p) be the third derivative of -p**6\/120 - 7*p**5\/60 - p**4\/8 - 5*p**3\/3 + 16155*p**2. Give r(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2, 12, -1, -204?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 693 or 218797\/316?\nAnswer: 693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.19 + 0.09. Let j = 13 + -17.3. Let s = 8.3 + j. Which is the closest to p? (a) s (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (13\/(286\/11))\/(20\/336)*-5.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1013 (base 10) in base 8?\nAnswer: 1765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -10 and -97.\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 2 - 6 = 0. Suppose -2*k - 3*k - 5*p = -40, -2*p - 2 = -j*k. Solve -2*i = 5*o, -2*i - k*i - 4*o + 17 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 30? (a) 1\/2 (b) -0.069 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 5*u = -15, 0 = r - 2*u + 1 + 5. Suppose 8 = -y - r*y. Let z be y\/(-21) - (-4)\/14. Which is the smallest value? (a) -2\/13 (b) z (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 3*g - 53 = 0, -4*g = -2*b - 0*b + 10. Let t be ((-68)\/6)\/((-6)\/9). Let o = -14 + t. Calculate the lowest common multiple of b and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.38 and 0.095.\nAnswer: 0.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 3 + 6 + 2*h)*(4 - 39 + 17) to the form f + w*h and give w.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.09 - -0.1. Let t be 0 + (-1834)\/(-441) - 4. Let i = -1\/126 - t. Sort 1\/3, i, u.\nAnswer: i, u, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/(j*j\/j**1*j*j))**(2\/5)*(j**(-2\/23)*j)\/(j**(-23)*j))**(5\/18) assuming j is positive.\nAnswer: j**(2543\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -6, 461, 32, 7, -1 in decreasing order.\nAnswer: 461, 32, 7, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4 + -3. Let l(b) = -b**2 + 3*b - 1. Let w be l(j). Which is bigger: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*w = 3*w + 12. Suppose -33 = -w*q + 342. What is the highest common divisor of q and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 91\/8 and -47\/34?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 136 minutes after 2:16 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j = 21*l - 19*l + 128, 2*l = 4*j - 168. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ahaa. Give prob of picking 3 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 9*t + 6. Let l be v(-7). What is the remainder when 32 is divided by (-6)\/15 + l\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9 - 7. Let g = 1.9 - n. Let k = 2 + 3. What is the nearest to g in k, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**3 + 14*m**2 + 277*m - 18. Calculate k(25).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) 0 (b) 2 (c) 46 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4614 - 3156 - 3193 - 8794)*(y + 4*y - 2 - 3*y) to l*y + n and give n.\nAnswer: 39514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5070?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply 22 and 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 75766 and 5641924?\nAnswer: 1762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 45365?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -259700 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify y*y**1*y*y**(-2\/37) assuming y is positive.\nAnswer: y**(109\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-y + y - 6*y + (-4*y + 4*y + 2*y)*(-3 + 2 + 3))*(2*y**2 + 0*y**2 - y**2).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/9 + (-100)\/45. Let m = 4 + g. Find the third derivative of -2*c**6 + 3*c**6 + 4*c**2 - 2*c**m + c**2 wrt c.\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 4, -4\/9, 1\/10?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4295 - 415*u**2 - 4291 - 4303 + 12889.\nAnswer: -415*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 70188150 to the nearest 100000.\nAnswer: 70200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-18)\/(-8) - (-2)\/(-8). Suppose 0 = -294*p + 679 + 23 + 474. Sort p, s, 3, 5 in decreasing order.\nAnswer: 5, p, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 6, o: 5, l: 3, c: 2, n: 1, t: 2}. What is prob of picking 1 l, 1 z, and 1 c?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 898*x + 1. Let b(t) = -8059*t - 21. Determine a(b(r)).\nAnswer: -7236982*r - 18857","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: ((-20)\/(-40)*10\/5)\/(12\/(9*-108))\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -6 in -1, 1, 0.0627?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-60 - -40) + (-7 - -9 - 0).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2503476 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -n - 2. Let z = -70 - -70. Which is the nearest to z? (a) -0.1 (b) n (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (((-8)\/(-10))\/(-2))\/(13\/65). Let c(r) = 2*r**2 + 5*r + 5. Let q be c(a). Solve -8 = q*x + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5946)\/99 + (-28)\/(-462) + -4*1\/4?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8373 is divided by 2763.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ytddttl. What is prob of sequence ldd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 - 31528*w**2 - 7.\nAnswer: -31528*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -t**2 + 70*t - 1158. Let p be c(42). Let y = -191 + 269. Calculate the highest common divisor of p and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 610, 2927, 6950, 12679?\nAnswer: 20114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2, -0.1699, -1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -9*u + 29. Let v be d(3). Solve -b + v*f + 14 = 0, 12*f + 35 = 5*b + 9*f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the third derivative of s**6\/24 - s**5\/60 - s**4\/24 + s**3\/6 + 11*s**2. Determine m(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -8 by -149294812.\nAnswer: 2\/37323703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**(1\/3))**(2\/29)*c**(-3\/2)*(c\/(c\/c**(3\/7)))\/c*(c**2)**40\/(c**1\/(c\/(c\/c**(2\/21)))) assuming c is positive.\nAnswer: c**(31309\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g - g = -1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 1 - 6*o + 4*o + 3. Let t be d(3). Let k = 6 + t. 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 -249 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 8 = 3*t. Let v be (-2*(-8)\/(-16))\/1. What is the third smallest value in 5, v, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(400)\/(sqrt(96)\/(2*sqrt(12))))\/(6*-5*sqrt(640)).\nAnswer: -sqrt(5)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d*d**(-1\/3))\/d**(-1\/3))**23)**(-30) assuming d is positive.\nAnswer: d**(-690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0952 rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express n**2 - 3*n**3 + n**2 - n**2 as g + z*n**3 + a*n + c*n**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -x**3 + 19. Let h(r) = 4*r**3 + 9*r**2 + 3*r - 39. Let n(w) = -h(w) - 3*p(w). Give n(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.076 + 1.694. Let k = a + 0.23. Let s = 29\/5 - 6. What is the closest to -2\/3 in s, k, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 4*m = 58, -4*d + m + 74 = -24. Let k = 60 - d. Let s(b) = b**3 - 24*b**2 - 2*b + 56. What is the least common multiple of k and s(24)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 8\/(-5)*((-45)\/(-6) + 0). Let p = 9 - c. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-58*b**2 + 2*b**2 + 0*b**2)*(-40 - 2 - 67 - 127).\nAnswer: 13216*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 532585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1007*k - 1004*k + 5*w = 48189, -32134 = -2*k - 2*w. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -4*v + 10, 2*v + 4*p + 2 = 16. Suppose -v*h + 5*h = 2. What is the second derivative of h - 1 + 2*q - 2*q**3 wrt q?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 248809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 276 a factor of 1677528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/15)\/((-14)\/175) - 9*(-159)\/18.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = 2*c + 56. Let k = 38 - c. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 49 + -45. Let n(u) = -u**2 + 3*u + 4. Let k be n(p). Let t = 4.6 + -4. Which is the second biggest value? (a) -3\/2 (b) k (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1450*r + 235*r + 39*r + 689*r to the form j + f*r and give f.\nAnswer: 2413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -5*c + 2. Let m be g(2). Let l(x) = -x**3 - x**2 - x + 1. Let v(y) = -5*y**3 + 2*y**2 - 8*y - 3. Let h(p) = -6*l(p) + v(p). Does 5 divide h(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 803 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 2 = -4*c - 6, -5*u = -3*c - 45. Calculate the remainder when u is divided by 1*((-2)\/(-1) + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 2 i when three letters picked without replacement from ttttttttiitttttttttt?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 44156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.12 and 0.5?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dckccccaccckkckkcca. What is prob of sequence acd?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 47\/220 - -2\/55. Let s = -6 + 11. Let v = 121 - 845\/7. What is the nearest to v in s, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a factor of 1060\/15*3\/(-1)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1 + 33814141?\nAnswer: 33814142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -13da1 - -5?\nAnswer: -13d9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(-4)*c\/c**8*c*(c\/(c**(-2)\/c))**(3\/20) assuming c is positive.\nAnswer: c**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*k + 2*k - 1002*k**2 + 1006*k**2 + 0*k.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 38 - 123 = 17*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.4 + 0. Let i = 10 + -10.11. Let f = i - 0.39. What is the closest to -4 in f, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 4288, 4286, 4272, 4240, 4184, 4098, 3976, 3812?\n\"Answer: -i**3 + 5*i + 4284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:28 PM and 10:00 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, 34, 1, 5, -42 in ascending order.\nAnswer: -42, -0.1, 1, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 44240258 to the power of 1\/2, to the nearest integer?\nAnswer: 6651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -2*f - 21. Calculate o(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7149428 and 222827.\nAnswer: 4741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -10*n**2 + 21*n + 48. Let o(t) = -11*t**2 + 22*t + 49. Let l(x) = -3*j(x) + 2*o(x). What are the prime factors of l(-5)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -5\/2, -4, -0.011, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 2 + 0 + (-3964 - -4011).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1435114 + -4?\nAnswer: -1435122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply -490 and 6.\nAnswer: -2940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.175, 2\/5, 7\/2 in ascending order.\nAnswer: 0.175, 2\/5, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((-906)\/(-22) - 4) + 12\/(-66) is divided by 5 + 16 - (-3)\/(-2 + 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) be the third derivative of h**4\/8 - h**3\/2 - 40*h**2. Determine o(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 0*m - 20 = 0. Suppose -2*u + 48 = 2*w, 0 = -4*w - m*u + 77 + 18. What is the remainder when w is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 96\/36 - 760\/330. Find l such that 0*l + y*l**3 + 2\/11*l**2 + 2\/11*l**4 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 210102122 + -1?\nAnswer: 210102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 + 2\/4*168\/(443520\/(-58200))?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 3*x = 2*x. Suppose 0 = -x*u + 2*u. Let j(d) = -d**3 - 5*d**2 - 4*d + 4. Let g be j(-4). Which is the third smallest value? (a) g (b) u (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 233 + -51.91853\nAnswer: 181.08147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/(9955\/(-44)))\/((-296)\/1110)*1\/(-3)?\nAnswer: -1\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence op when two letters picked without replacement from {d: 3, o: 4, p: 2, x: 1, f: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from bqqbdiqqiqbiiqibqd.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3 + -4. Let t(v) = 2*v**3 - 7*v**2 + 2*v + 8. Let s be t(4). Let f = b + s. Calculate the remainder when f is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -43 + 42.999932. Round b to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9922317, 9922318, 9922319, 9922320, 9922321?\nAnswer: 9922322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*t + 4*t - 54. Let y(f) = -f + 14. Let a be y(14). Let z = a - t. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -j**3 - 3*j**2 - j - 1. Let s = -52 - -7. Let h = 39 + s. Is i(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 345143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p**2 - p - 144. Give s(-10).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*m*x**2 + 17244*m*x - 60171*m + x**2 + 8 wrt x.\nAnswer: 4*m*x + 17244*m + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/(u*u**(-4)))\/(u\/(u\/((u*(u*u**(-3\/5))\/u)\/u))))\/(u\/u**(-1)*u*u)**(-7\/8) assuming u is positive.\nAnswer: u**(81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 659013569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*w**3 + 28*w**2 - 32*w - 64.\nAnswer: -4*(w - 4)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Collect the terms in 55 + v + 25 + 33 - 6 - 37.\nAnswer: v + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = 5*u, -3*u + 177283 - 177273 = -2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 281 + -302. Let m(n) = 2*n + 50. Calculate m(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 2*p = -2, -22 = -5*x - 548*p + 544*p. Let i = 15 + -50. Let t(m) = -77*m**2 + 35*m - 35. Let z(s) = -13*s**2 + 6*s - 6. Determine i*z(q) + x*t(q).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence etet when four letters picked without replacement from {e: 13, t: 6}?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - 72\/(-21) - 26\/28.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x - 3*t - 3466, t + 6912 = 4*x - 0*t. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4073968 to the power of 1\/2, to the nearest integer?\nAnswer: 2018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1038 is divided by 73.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find q such that -6889*q**4\/3 - 1563305*q**3\/3 - 1443877*q**2\/3 + 36835*q - 678 = 0.\nAnswer: -226, -1, 3\/83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m be 782\/207 - -2*1\/9. Suppose 0 = 3*a - 3*t - 18, 0 = 2*a + m*t - 4 + 16. What is the first derivative of -7*h + 9*h + 11*h + 2*h**a + 13 wrt h?\nAnswer: 4*h + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -8\/33 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 249*m - 102*m + 358*m + 268*m - 161*m.\nAnswer: 612*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.3 and -72.999.\nAnswer: -21.8997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 77 a factor of 47586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2274 is divided by 378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 23\/78 + 1\/26. What is the closest to -2 in 4, p, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12325, -12295, -12241, -12163, -12061, -11935?\nAnswer: -11785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6\/11)\/((-11)\/2*(-512)\/(-1408)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 2*v + 1 + 3*v**4 + 5*v**3 + 12*v + 2*v**2 - 25*v + 12*v in the form x*v**4 + s*v**2 + q + t*v**3 + l*v and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.47, -0.2, 3 in increasing order.\nAnswer: -0.2, 0.47, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 11684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**2 + 2*u + 3. Let n be j(0). Solve 0 = -n*m + 2*m + 5*h + 25, 3*h = -3*m + 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -53, -98, -133, -152, -149, -118?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*y - 0*y + 35. Which is the third smallest value? (a) y (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:36 AM and 6:29 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 3, d: 3, g: 1}. Give prob of sequence gdv.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -c + 0 = -2*v + 11, -5*c - v = 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -488 + 512 + (-24 - 1) - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 39180321 to the power of 1\/3, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 677538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.8 in -0.1, -0.3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 10695120989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - c = -3*c + 5, 5*m - 11 = 4*c. Suppose -9 + 21 = m*p. Suppose 4*d = p*s, -d + 5*s + 20 = -6*d. Let r(b) = 3*b**2 - 2*b. Calculate r(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3012 is divided by 1433.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 566*j**2 + 17535*j - 365. What is z(-31)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 1167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 11. Let v(x) = -2*x + 11. Let w(a) = -6*u(a) + 6*v(a). Let k be 10\/4 + 1\/(-2). Let i(g) = -3*g**2 - 2*g + k*g. Calculate w(i(z)).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the first derivative of l**3\/3 + l - 39. Let a(o) = 3 - 3*o**3 + o**3 - 6*o - 6*o**2 - o**3. Let s(y) = a(y) - 3*d(y). Find j, given that s(j) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -354, -351, -346, -339, -330, -319?\n\"Answer: q**2 - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 181608768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0 + 10. Find the second derivative of l - 2*l**2 + d*l**2 + 7*l - 5*l wrt l.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1351795 minus -0.3?\nAnswer: -1351794.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -2785, -5601, -8417?\n\"Answer: -2816*v + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be 0 - (-1)\/((-1)\/(-90)). Let k = x + -83. Calculate the greatest common divisor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - 1 - 9\/(27\/(-21)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 18 = -2*y, -i + 2 = 3*y - 0. Suppose 3*w + 29*a + 733 = 33*a, -4*w - 998 = i*a. Is -246 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 5*n + 4944 = 0, -2*m + 4944 = -m + n. Suppose -27*g = -33*g + m. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9966498 and 621?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.058? (a) 1216 (b) 0.3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 3) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4302 - 963. List the prime factors of h.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -19 + 20.06. Let q = i + -4.2. Let p = q + -0.56. Sort p, -4, -2.\nAnswer: -4, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -520.4 and 0.5.\nAnswer: -519.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 7 - (-13 + -8)\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (4*(sqrt(200) - (1 + -5 + sqrt(200))))**2 + ((sqrt(32)*-1)**2 - (sqrt(2) - (-6*(sqrt(2) - (sqrt(2) + 0)))**2)).\nAnswer: -sqrt(2) + 286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -k**2 + 18*k + 5. Let v be c(18). Suppose 0 = -v*g + 1208 + 1402. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2128946853?\nAnswer: 3, 11, 41, 1573501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 635 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 17*c**4 + 10*c**3 - 13*c**2 + 12. Let s(p) = -20*p**4 - 11*p**3 + 15*p**2 - p - 14. Let q(x) = 7*h(x) + 6*s(x). Factor q(g).\nAnswer: -g*(g - 3)*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 24 - 5 = 5*p, -2*p = 3*s - 4. Let d(z) = z**3 + 4*z**2 - 4*z. Let l be d(-5). Put l, -19, s in increasing order.\nAnswer: -19, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 6*q**2 + 2*q + 1. Let j be s(-1). Suppose 5*c = -25, 0 = -5*a - 7*c - 2*c - 65. Sort a, j, 48 in decreasing order.\nAnswer: 48, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n**3 + 11*n**2 - 26*n + 5. Let b be u(-13). Calculate the remainder when 147 is divided by -1 + (30 - (b + -6)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00583 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -31*i**2*w*x**6 + 8*i**2*w*x**3 + i**2*w - 267*i**2*x**2 - 2*i**2 - 2*w*x - 2*w wrt x.\nAnswer: -3720*i**2*w*x**3 + 48*i**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**2. Let r(w) = -14*w**2 - 12*w - 3. Let l(p) = 60*p**2 + 44*p + 11. Let z(h) = 6*l(h) + 22*r(h). Calculate n(z(t)).\nAnswer: 2704*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -5769, 1, -16 in descending order.\nAnswer: 1, -16, -5769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -1.1522930172 to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 57\/2860 and 19\/86.\nAnswer: 122980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n**2 - 13*n + 3. Let l(t) = -1. Let q(m) = -6*m + 12. Let v(z) = 20*l(z) + 2*q(z). Let d(k) = -4*p(k) + 3*v(k). Factor d(r).\nAnswer: -4*r*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 1 (b) -1\/6 (c) 0 (d) 1\/5 (e) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -11*f**3 + 10. What is i(-2)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 3*o = -6*d - 26, -7 = 3*d - 4*o. Let k = 3 - d. Calculate the least common multiple of 12 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s**2 + 6*s + 3 = 0. What is s?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2498 * -0.3.\nAnswer: -0.07494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -12*n - 9. Let t be (-3)\/3 + (0 - 1). Let h(v) = -3*v - 2. What is t*c(b) + 9*h(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -m**3 + 4*m**2 + m - 5. Let w be 6 + -3 + (1 - 0). Let z be u(w). Sort -5, 5, z in ascending order.\nAnswer: -5, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0001789028 rounded to 7 decimal places?\nAnswer: 0.0001789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4)\/(-8) - (-11)\/(-30). Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25462025 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: Let g = -1541 + 1673.9. Let y = -132 + g. Sort 4, -2, -5, y in ascending order.\nAnswer: -5, -2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -1470690, -1470679, -1470666, -1470651, -1470634, -1470615, -1470594?\n\"Answer: t**2 + 8*t - 1470699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*((sqrt(1377) - (-2*sqrt(1377) + sqrt(1377))) + -4) + (-2 + sqrt(1377) + 1)*-1)**2.\nAnswer: -5850*sqrt(17) + 233338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) be the first derivative of b**2\/2 - 1. Let r be y(0). Suppose 0*w + 2*w - 8 = r. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2477222113?\nAnswer: 37, 1289, 51941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 11466653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 12376851451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1392?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -16687*i + 8325*i + 8363*i. Let u(o) = 2*o**2 + 0*o**2 + 36*o - o**2. What is u(p(r))?\nAnswer: r**2 + 36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 4*n**2 - 17*n - 44. Let x be g(5). Let m(b) = -65*b - 76. What is the hundreds digit of m(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -7*k - 45. Let f be x(-7). Solve -4*v + 4*y - 6*y + f = 0, 5*v + y - 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*o - 4*w = -7*o + 250, -23 = -267*o + 268*o - 4*w for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 14753 - 14661. Calculate the remainder when 7083 is divided by s.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -10*t**3 + t**2 + t - 7. Let g(b) = b**2 + b. Determine -c(n) + g(n).\nAnswer: 10*n**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4 - -5. Suppose -z - 4*b + 467 = 0, 6*z - m*z + 5*b + 1486 = 0. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 361633 is divided by 75.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -27*u**2 - 9*u - 2. Let d(b) = 80*b**2 + 24*b + 6. Let m(s) = 3*d(s) + 8*f(s). Let w(p) = -17*p**2. Calculate w(m(y)).\nAnswer: -9792*y**4 - 1632*y**2 - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 + 1. Find the third derivative of -z**3 - 3*z**3 - 2*z**2 - m*z**2 wrt z.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5327 divided by 397.\nAnswer: 5327\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -7.17932 to two decimal places.\nAnswer: -7.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40313294.\nAnswer: 2, 7, 2879521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -71\/5 at most -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 11387918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = 16, 1 = -4*c + 5*m - 7. Differentiate -6 + 3*o**2 - 3*o**2 + c + 5*o**2 with respect to o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 714463 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1\/3 or 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -y - 3*d = 14, 3*y = 281*d - 279*d - 42 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 * 15228096.\nAnswer: 7614048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*g + 180 = 45*g. Suppose -226 = -10*x + 274. Calculate the remainder when x is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -64 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that -3*b**5 + 51*b**4 - 120*b**3 - 888*b**2 - 240*b + 1200 = 0.\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + -4 - (15 - 34)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -203*a + 202*a + 1467. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/27 + (-13650)\/(-9315). Is 0 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -9 + 6 + 1 + 0 - (27 + (20 - 60))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 4*u + 12 = 0, 2*p = 5*p + 3*u - 39. Let b = p - 9. Calculate the least common multiple of 6 and b - -12 - (3 + -2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6461.09 - 6509. Round g to zero dps.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**3\/3 - 398*t**2\/3 + 6666*t - 6534.\nAnswer: 2*(t - 99)**2*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 2*a + 33 = 3*a, 2*y + 2*a - 18 = 0. Let r be y\/(-54) + 472\/18. Let u = 87 + r. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5474834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k and 1 p when three letters picked without replacement from {p: 1, u: 2, x: 1, b: 1, k: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:20 PM and 6:00 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/5 - 104\/20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t**2 + 10*t + 3. Let x be a(9). Is 5 a factor of (x\/16)\/((-2)\/(-136))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -157 (base 10) to base 3\nAnswer: -12211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*((sqrt(17) - sqrt(68))*-2)**2.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2 + 7. Suppose -a*t - 1119 = -2*p, 5*p - 2*t - t = 2788. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -9 + 9.3. Suppose 0*f + 3*i = f - 7, 0 = 5*f + 5*i - 35. Let u = 3 - f. Which is the nearest to 2\/5? (a) m (b) u (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes before 1:42 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 4 - 9 - 4*a + 2*a. Let r be s(-4). Solve -r*z = -7*z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(1\/4))**(2\/29)\/(u**1*u)**(-12))\/(u**(2\/5)\/(u*u*(u*u**3)\/u*u*u*u)*u*u*u\/(u\/u**(2\/5)*u*u)*u*u*u*u**(1\/2)) assuming u is positive.\nAnswer: u**(4019\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 21717*c + 47799114. Calculate a(-2201).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find b such that -16*b**3\/5 - 24*b**2 - 153*b\/5 - 54\/5 = 0.\nAnswer: -6, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uwu when three letters picked without replacement from wuuuwuwuuuuuuuuu.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p + 13. Let q be (-1)\/(-1) + -10 - 1. Let l be y(q). Solve l*w - w = 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 3714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18*(4\/(-12))\/(164\/574).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = 0, 2*d - 10 = -5*h - 2*d. Let r(v) = v**2 - 1. Let q be r(h). Is 5 a factor of 14\/q + 3\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 46618 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 63 a factor of 5105898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = -98\/15 + 19\/3. Let t be ((-56)\/(-476))\/(6\/(-6)). Which is the third smallest value? (a) t (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11625.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:40 PM and 9:08 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 5, 10, 19, 32, 49, 70?\n\"Answer: 2*l**2 - l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 639*i**2 + i + 3164. Let q(b) = 7*b. Determine q(x(u)).\nAnswer: 4473*u**2 + 7*u + 22148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**(-5)*h)**(-1\/58) assuming h is positive.\nAnswer: h**(3\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = -143 - -83. Let h be (-18)\/(-4)*(-8)\/d. Let g be (5 + -5)\/(3\/3). Which is the nearest to -0.2? (a) g (b) h (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -29949 divided by -1018\nAnswer: 29949\/1018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.06 - -2.06. Let x = 0.2 + -0.6. Let y be (-2 - -6)*2\/(-2). Which is the nearest to 0.2? (a) y (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 20\/12*12\/10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = u + 2*i + 4, 2*u + 4*i = 0. Suppose 3*t - 9 + 1 = -4*c, -9 = -5*c - u*t. Calculate the remainder when 8\/20 + (-86)\/(-10) is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4 + 20\/(-5) - -21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + sqrt(2299) + -1 + sqrt(38)\/((sqrt(4) + sqrt(4)*-4)\/sqrt(2)) + 2.\nAnswer: 3 + 32*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 41930699 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be (17 - 17)\/((3 - -3)\/(-3)). Sort -8, r, 1 in descending order.\nAnswer: 1, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/15 of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 8337200?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the first derivative of 1\/2*k**2 + 0*k - 2. Let n(u) = 9*u + 4. Let x(h) = 100*h + 45. Let w(s) = 45*n(s) - 4*x(s). Give w(o(z)).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 333538978?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 115, -7, 1103 in decreasing order.\nAnswer: 1103, 115, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 476, 468, 456, 440?\n\"Answer: -2*l**2 - 2*l + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*(r**(-2\/5)*r*r)\/r)**(10\/7)*r**(-4\/7)\/r**(-1\/6))\/(r**(-1\/3)*r*r*r**(-1\/4)*r*r*(r\/(r**1\/r))\/(r*r*r\/(r*r\/r**(-2\/5))*r)) assuming r is positive.\nAnswer: r**(-131\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*g + 8*g + 508 = 0. Suppose 8*n = g + 1945. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r\/(r\/(r\/(r**10\/r*r)*r))))\/(r\/(r**(1\/20)\/r)) assuming r is positive.\nAnswer: r**(141\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + 10 - (5 + 5) - -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*x = -5*p - 5, 6*p - 7*p - 2*x = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -254*c - 6 = -79*c + 1219 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -49, 223, 973, 2441, 4867?\nAnswer: 8491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1706 + 3353. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*f = 4*f - 3956. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((6\/(-8))\/((-546)\/1040))\/(3120\/(-1365))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-7332)\/(-138) + 154\/((-265650)\/225)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that 3*m**5 + 1167*m**4 + 112902*m**3 - 115242*m**2 - 112905*m + 114075 = 0.\nAnswer: -195, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -103*s + 851 = -282 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0001101983 rounded to six dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + 5 = -27. Let d = -385\/58 - -4\/29. Let q = w - d. What is the biggest value in 2, -3, 2\/7, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.0729 and -70585297.\nAnswer: -70585296.9271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -27*((-6)\/45)\/(43650\/250).\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 5*l**2 + 658*l + 19192. Give n(-88).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 319862*b**2*n**4 + 265936*b**2 with respect to n.\nAnswer: 1279448*b**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 187473480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -8032.2 rounded to the nearest ten?\nAnswer: -8030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -3362.23272 to the nearest 10.\nAnswer: -3360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7, 0, -25, -74, -153?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 19311 plus -693973?\nAnswer: -674662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 224, 235, 244, 245, 232, 199, 140?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uhhu when four letters picked without replacement from ueeueuhuehueeuu?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -515, -1012, -1509, -2006, -2503?\n\"Answer: -497*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -65\/54674 and -3\/44.\nAnswer: 1202828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/85 + (-11425)\/425\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2 + sqrt(539))*-1 + (sqrt(539) + 0 + (-1 + sqrt(539) - sqrt(539)) - sqrt(539)) + 2 + 1)**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -14 + 17. Suppose c - 148 = 3*y - 6*y, 46 = y - w*c. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 80465.88g to kilograms.\nAnswer: 80.46588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by 1269?\nAnswer: -2\/1269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4131 is divided by 109?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z be 315539932\/18 - -4 - 4\/18. Round z to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*a + 27*a - 63 = 0. Let w = -2236603 + 9236615. Suppose r - 3*f + 6999991 = a*r, -4*f - w = -2*r. Round r to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 16 or -1796\/2621?\nAnswer: -1796\/2621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = o**3 - 2*o**2 - 6*o - 1. Let x be i(5). Suppose -4*w + x = 5*h, 2*w + h = -2*h + 20. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 122495554?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1088942 is divided by 272204?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(204)*-6*-2)\/(sqrt(144)\/(sqrt(3) - sqrt(300))).\nAnswer: -270*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2 - 11749039?\nAnswer: -11749040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14111 - 33662 = -13*c - 9449. Is c a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -884.9 + 884.900012018. What is w rounded to seven decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-110)\/10 + 18\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 10, z: 10}. Give prob of picking 3 u and 1 z.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 3\/50 of a meter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7832 + 8058. Calculate the greatest common divisor of 58082 and p.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -38 - -34. Which is the second smallest value? (a) 4 (b) -6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 446918 and 3095?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 divided by -6.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: ((-7)\/42)\/((-3)\/(-9))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvvbvnvybyvvnyvyvy. What is prob of sequence ny?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c be -1*15\/3*-33. Calculate the highest common divisor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the first derivative of 5*t**3\/3 - 5*t**2\/2 - 60*t - 37. Find the first derivative of l(h) wrt h.\nAnswer: 10*h - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -31692383 minus -185106?\nAnswer: -31507277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 116 + 80 = 4*f. What is the remainder when f is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -32888042.9 times 0.4\nAnswer: -13155217.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-5)*q*q**17)\/(q*q*q**5*q**(-6\/11)\/q*q) assuming q is positive.\nAnswer: q**(72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1111 (base 2) in base 16?\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2603 and 228.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 3*c**3 + 33*c**2 - 678*c - 7431. What is u(-11)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Divide -10580 by -5.\nAnswer: 2116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 26.869395 months in centuries?\nAnswer: 0.0223911625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from oooohoohoooohooo.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1067659131 to the nearest integer?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((12\/(-104))\/1)\/(15\/20). What is the third biggest value in n, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gkleggwelgflg. What is prob of sequence fke?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-3)\/30)\/(108\/(-270)). Determine p, given that g*p**3 - 1\/4 - 1\/4*p + 1\/4*p**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 24 and 1056.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 2*z**2 - 6*z + 17*z - 17*z - 12*z in the form p*z**2 + c*z + m and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**3 - 4*j**2 + j + 6. Is n(-5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 365558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.04 + 0.15. Let s = -0.09 - t. What is the closest to 1 in 2, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -4, 497 in descending order.\nAnswer: 497, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(325) - (sqrt(325) - (sqrt(325) - (sqrt(325) + sqrt(325)*1)) - sqrt(325))) + sqrt(325))**2*-3.\nAnswer: -975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Do 0.0129 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-6)*y*y**(-2\/35))\/((y**(7\/2)*y)\/y*y\/(y\/(y**(-2\/7)*y))) assuming y is positive.\nAnswer: y**(-649\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (470\/329*399\/(-76))\/((-10)\/136)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 3 c when four letters picked without replacement from cccclccelecleclec?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 18849*n - 12*n**2 - 24 - 12*n**2 - 18830*n + 3*n**3 - 2*n**3 + 6*n**2. Determine x(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*j**3 - 25452771*j**2 - 17995649968383*j + 5998552817547 = 0.\nAnswer: -1414043, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y - 8. Let u(i) = -2. Let f be 5*((-4 - -5) + 1\/(-5)). Let p(m) = f*u(m) - h(m). What is p(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 38*t**2 - 1. Let u(p) = -p. Let k be u(1). Is y(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 33076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (25305\/2169)\/(20\/9)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.2*2.17752\nAnswer: -0.435504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -2*q. Let f(g) = -6*g. Let v(y) = 5*f(y) - 16*w(y). Let s be v(1). Suppose 140 = s*r + 3*r. What is the highest common factor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -5, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 295757 - -135642. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -4*i. Let v(t) = -3*t**2 - 1158*t. What is g(v(o))?\nAnswer: 12*o**2 + 4632*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -160410, -160409, -160408, -160407?\n\"Answer: s - 160411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 436376026?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u = -2*i + 38, -129*u + 121*u - 5*i = -137 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0250559 rounded to 3 decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -6*c**3 - 7*c**2 - c. Suppose 2*s = -3*d - 25, 4*d - 6*d + 5*s + 15 = 0. Let j(q) = q**3 + q**2. Let r = 5 - 6. Give d*j(i) + r*v(i).\nAnswer: i**3 + 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 17 in 2\/3, -6, 3\/8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 58445 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 1591*u - 14420. Calculate j(9).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 245*-8.\nAnswer: -1960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 373, 838, 1291, 1726, 2137?\n\"Answer: -q**3 + 472*q - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*s - 35*s + 2*s - 2*s**3 + 25*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from fciiqyc?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let -x**2\/2 - 183*x\/2 + 92 = 0. What is x?\nAnswer: -184, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by 647?\nAnswer: -3\/647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -105733\/9 at most -11747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1, -1\/246, 0, 0.0187?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(114)*5 + (sqrt(114) - (5*sqrt(114) + sqrt(114))*-2))\/((sqrt(66)*1*5 + sqrt(66) + sqrt(66))\/sqrt(11)*3).\nAnswer: -2*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22 - 22 - 40211*j**3.\nAnswer: -40211*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2031 + 0.2894525.\nAnswer: 2031.2894525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*r = 68 + 157 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gvl when three letters picked without replacement from vssgdddasvalaad?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 - 5 + 73*u - 406*u.\nAnswer: -333*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 4*d - 16 = 0, 5*g = -7*d + 9*d - 5. Solve 4*l - g + 9 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 4*g = -2912, -2*r + 1169 = g - 4*g. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) be the second derivative of 1\/30*c**5 - 2\/3*c**2 + c - 2 - 7\/27*c**3 + 1\/18*c**4 - 1\/135*c**6. Determine k, given that z(k) = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -3*m - m**2 - 5*m - 3 + 0*m. Let p = -16 - -18. Suppose 0 = -0*w + p*w + 12. Calculate i(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v**3 - 11*v**2 - 19*v - 6. Let k be y(-9). Which is the second smallest value? (a) 0.4 (b) -3 (c) k (d) 6 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 742591528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 15) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -1\/1326550985?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3166 + 583457*i + 6332 - 3167.\nAnswer: 583457*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 7432 * -0.09\nAnswer: -668.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.1078 + 3.8922. Put 12, -4, b, -5 in descending order.\nAnswer: 12, b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5991, 23923, 53783, 95559, 149239, 214811?\nAnswer: 292263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 38281541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4350 and 6061.\nAnswer: 909150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -g**3 - 2*g**2 - 2*g - 1. Let r(x) = 105*x**2 + 470*x + 5. Let k(w) = -r(w) - 5*y(w). Factor k(u).\nAnswer: 5*u*(u - 23)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 1, 0.3, 2\/31, -2\/23, 8.76, -0.1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 41 times -236613?\nAnswer: -9701133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3*w + 2*w + 0*w)*(-5 + 1 + 2)*(7 + 13 - 10) + 0*w - 2*w + w)*(143 - 86 + 193).\nAnswer: 4750*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 1, k: 1, j: 2, w: 1}. Give prob of sequence kbw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 122993277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-95)\/(-20)*2*22. Suppose 3*b - 250 - n = 5*v, -5*b + 3*v = -765. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 104372999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1090528 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 43, 0, -1, -0.4?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d**3 + 6*d**2 + 7*d + 5. Let x be y(-5). Let m = -0.333 - -0.733. What is the nearest to -0.2 in m, 5\/3, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the second derivative of q**7\/840 + q**4\/6 - q**3\/2 - 2*q. Let h(p) be the second derivative of u(p). Calculate h(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -12218330*c**3*x**4 + 26803728*c**3*x - 2*c**2*x**2 - 2*c*x**4 wrt x.\nAnswer: -293239920*c**3*x - 48*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -36720813\/496 + 74034. Calculate the common denominator of -143\/72 and f.\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 569 + 585. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/5? (a) 0.2 (b) -1\/2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (315 + 282*o**2 - 315)*(-3*o + 2*o + 0*o).\nAnswer: -282*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-five quarters of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -182, 3, 7, -76 in descending order.\nAnswer: 7, 3, -76, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 3426037913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 84218?\nAnswer: 2, 17, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-24120)\/(-45)*(-11)\/352*4\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/2*1936\/((-2288)\/(-52)))\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + w + 36 = 130, -5*w = 4*p + 412. Put -3, 26, p in increasing order.\nAnswer: p, -3, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -l**3 + 5 - 11*l**2 - 4 - 2 + 11*l. Let f = 94 + -106. What is the remainder when 31 is divided by c(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the third derivative of q**9\/20160 - q**8\/8960 - q**7\/3360 + q**6\/960 - q**4\/3 + 4*q**2. Let t(b) be the second derivative of i(b). Factor t(l).\nAnswer: 3*l*(l - 1)**2*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10a30a (base 12) in base 9?\nAnswer: 445571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + -4 + -12 + (9 + 2 - -11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 43*m + 34*m + 34*m + 43*m - 159*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 326773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1813.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 167 minutes before 1:54 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 - 2 + 3)*(1 + 4 - 4) + (9 - 39 - 22)*(-11 + 2 + 0))*(2*m + 1 - 1).\nAnswer: 940*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5 + -7 - -2) + 6 - 5 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 157\/1157070 and -46\/55?\nAnswer: 12727770","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: 286601 (base 13) to base 11\nAnswer: 613281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 - -17. Let t be 1266\/21 - (-2)\/(-7). What is the units digit of t\/n - (-1)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 78675.9 centuries?\nAnswer: 786759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -43\/16800 and -79\/2310?\nAnswer: 184800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3)\/((-4)\/(-1 - 15)). Let q be 15\/(2*m\/(-80)). Suppose 0 = 3*g - 55 - q. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 1839.02 + -0.1\nAnswer: 1838.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(4131) - sqrt(4131))\/(sqrt(3) - -3*(sqrt(3) - sqrt(192))).\nAnswer: 27*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 100 divided by -25?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 w and 1 p when four letters picked without replacement from aapawwawap?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 14 - 10. Suppose 24 = 3*t + 3*a, u*t = 3*a + a + 48. Let w(d) = -1 - d - 1 + t. Give w(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 109 - 53. Suppose -2*k = 4*l - b, 0 = 2*k - 0*l + 3*l - 52. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -2\/11 (b) 11 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 6279 - 16?\nAnswer: 6263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*u**4 + 215*u**3 + 3*u + 141855 wrt u?\nAnswer: -8*u**3 + 645*u**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3\/5 (b) 0.3 (c) -0.1 (d) 4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (32*t**2 + 34*t**2 - t**2)*(t + 8 - 8) + 4*t**3 - t**3 - t**3.\nAnswer: 67*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 0*z = 4*o + 84, 0 = -4*o - 5*z - 66. Let c = 41 + o. Let q(y) = -y**2 - 39 + 21 - 5*y + c. Determine q(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the first derivative of -23*j**7\/7 - 5*j**3 - 11. Find the third derivative of g(o) wrt o.\nAnswer: -2760*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1898 divide 89424270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = b**2 - b - 2. Let t be c(3). Let j be (2\/1)\/((-4)\/(-54)). Suppose -t*g - j - 5 = -3*a, a + 2*g - 4 = 0. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 597 - 89. Let d = -468 + i. What is the lowest common multiple of d and 124?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -y**3 - 6*y**2 - y + 2. Let n be -9 + -2*6\/(-4). Determine s(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 11581 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -943*g - 286 = -147*g + 232*g + 28498 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) be the second derivative of -233*i**3\/3 - 401*i**2 + 946*i. What is the derivative of u(z) wrt z?\nAnswer: -466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**(-19\/5)*f)\/f*f**(-12\/5) assuming f is positive.\nAnswer: f**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 48617?\nAnswer: 61, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -29 - (-5 + -3 + 4 + 7 + 1)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*u**2 - 35879*u*z**2 + 6*z**2 + 4*z + 242 with respect to u.\nAnswer: 4*u - 35879*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 238338913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -16*q**5 + 62*q**4 - 88*q**3 + 52*q**2 - 8*q - 2.\nAnswer: -2*(q - 1)**4*(8*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the second derivative of n**8\/1344 - n**7\/1260 + n**5\/120 + n**4\/6 - 3*n. Let g(y) be the third derivative of f(y). What is g(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -255.5 times 13.346?\nAnswer: -3409.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out 2477789 - 167.\nAnswer: 2477622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p - 25 = -2*d + 8 - 133, 5*p - 2*d - 115 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 5, e: 3}. Give prob of picking 2 k and 2 e.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*q + 20*q - 40 - 13*q)*(0*q + 5*q + 2*q).\nAnswer: 14*q**2 - 280*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 5 + 0 + (-5 + sqrt(128))**2 + (sqrt(16)*-2)\/sqrt(8).\nAnswer: -82*sqrt(2) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-42)\/(-35) + 0 + 3\/(-15). Solve 2*u - 8 = 4*s, 3*s = -i - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 12 + 3. Let d be 0\/1 - (7 - n). Let h = d + -3. Solve -4*v + h = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + k + 5 = 0, 2*k - k = -3*r + 5. Let j = 8 + 6. Calculate the least common multiple of j and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q, 1 f, and 1 l when four letters picked without replacement from {f: 2, s: 1, b: 1, h: 2, l: 5, q: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -5*r + 1. Let c be i(-1). Suppose c = 2*p + 20. Let v = 9 + p. Solve 37 = 5*m + 4*t, v*m = -2*t - 3*t + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the second derivative of d**3\/6 - 2*d**2 + 3*d. Let u be h(5). Which is the second biggest value? (a) u (b) -4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*t**2 - t**2 + 3*t**2)*(-9*t**2 + 12*t - 12*t) + (0*t + 0*t + 2*t)*(-t + 3*t**3 + t).\nAnswer: 24*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/2 + 15 - (-39)\/26*-2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5778 and 8796618.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 282401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 27606, 27605, 27604, 27603?\n\"Answer: -b + 27607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5734558109 to the nearest integer?\nAnswer: 1790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 123*k = 18*k - 1141 - 4844 for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 2*g**3 + 253*g**2 - 157*g - 3861. Calculate w(-127).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 808155 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3\/22 (b) 4 (c) 29379\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 21 (b) 2\/7 (c) -81\/4111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that -x**4\/4 - 1093*x**3\/4 + 1643*x**2\/2 - 548*x = 0.\nAnswer: -1096, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 263913.9 hours to microseconds.\nAnswer: 950090040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5113*l**3*o**3 - 97*l**3*v + 50*l**2*o**2*v - l**2*v + 2*l*o + 3*o**3 - 6*o**2 wrt l?\nAnswer: -30678*o**3 - 582*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -1aa4 (base 13) to base 15\nAnswer: -12d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -107518*h. Let f(c) = -842*c**2 - c. Give f(z(r)).\nAnswer: -9733621312808*r**2 + 107518*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 182262?\nAnswer: 2, 3, 37, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-18*v - 236*v - 71*v)*(0 + v + 0 + 5*v - 3*v - 3*v + (2*v + 1 - 1)*(-3 + 4 + 0)) to the form o + q*v + n*v**2 and give n.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 498082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 184*x - 152*x - 4032. What is the highest common factor of 5094 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**3 + u**2 + 12*u + 95. Suppose 2 = 3*r - 2*a, 3*r - 1 = -5*a - 6. What is the remainder when j(r) is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 37*y**2 + 26*y + 2. Let p(n) = 53*n**2 + 7 + 59*n**2 + 106*n - 26*n. Let u(a) = 2*p(a) - 7*w(a). Find the second derivative of u(i) wrt i.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1504740556?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -268 + 269.22. Which is smaller: y or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 132 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 5*i - 30 = 0, 13 = -4*d - 4*i + 1. Let x = d - -9. Suppose -x*m + 6 = -m. What is the remainder when 6 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 431596 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-10)\/15*(3 - -9). Let z = 19 + y. Let t = -9 + z. Sort 5, 0, t.\nAnswer: 0, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 483282 is divided by 2177?\nAnswer: 2165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be 5 + 1 + -2*1. Suppose -2 = t - f. What is the units digit of 0*(-2)\/6 + t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**13)**(-1\/72) assuming b is positive.\nAnswer: b**(-13\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4352665\/7 - 621809. Factor 150\/7*h**2 + 31250\/7 - 3750\/7*h - u*h**3.\nAnswer: -2*(h - 25)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(168)*2)\/sqrt(3) + -2*sqrt(6776))\/((-1*(sqrt(64) - 2*sqrt(64)))\/(sqrt(288)*2)).\nAnswer: -240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 140207693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 11928\/29 or 412?\nAnswer: 11928\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -9 + -b5b?\nAnswer: -b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(567) - -3*(-1 + sqrt(567))) + -4 + -5*(sqrt(567) + 1)*4)**2.\nAnswer: 7776*sqrt(7) + 145881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 135.9 + 0.1. Let u = -277 + g. Let h = -140.999937 - u. Round h to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 80 = -7*z. Suppose 13*p - z*p - 297 = 0. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -29*v + 2 + 19*v + 109*v + 60*v to the form n*v + m and give n.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*g + 2*g - 8, -2*c + 2*g = 98. What is the common denominator of 39\/2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + sqrt(176)*2 + sqrt(176) + (0 + sqrt(176))*6 + sqrt(176))**2 - (-3 + sqrt(704) + -3)*6) + 2.\nAnswer: -128*sqrt(11) + 17639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3416 divided by -5925.\nAnswer: 3416\/5925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = -28 - -32. Suppose -3*a + l*i + 70 = 0, -8*i - 93 = -4*a - 3*i. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*v + 367 - 107 = 0. Differentiate 8*o - 168 + 48 + v - 2*o**4 + 0*o**4 wrt o.\nAnswer: -8*o**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1\/15, 3, 29\/316, 0.02, -0.3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16752 is divided by 54.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express ((-2*o + 7*o - 3*o)*(1 + 1 + 0) + (-605*o + 1011*o + 280*o)*(1 + 0 - 7))*(3*o + o - 3*o) as t + j*o**2 + i*o and give j.\nAnswer: -4112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -607.94839 + 10\nAnswer: -597.94839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 4d (base 15) in base 4?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*p**2 - 9*p**2 - 2*p**2 + 18*p**2.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is ((-524)\/74670)\/(((-4)\/(-1))\/20)*3\/11?\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 19 - 49*m**3 - 14 - 22 wrt m?\nAnswer: -147*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(343) + 1 - (sqrt(175) + 5).\nAnswer: -4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x be (508\/(-6))\/(7\/(-21)). Let h = -239 + x. Solve u = 2*d + 8, -3*u - h = 3*d - 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 110 (base 4) to base 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (24\/120)\/((-3)\/(-10)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.2417 from -95.496066.\nAnswer: -95.254366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1 - 8bc8786?\nAnswer: -8bc8787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(104)*3 + 2*2*sqrt(104))\/((4*1*sqrt(32))\/(2*sqrt(484)))*-2.\nAnswer: -77*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = 5*v - 19, 97*v - 94*v - 6 = 0. Which is the closest to 0? (a) 0 (b) 0.08 (c) 0.2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 4 + -51422030?\nAnswer: -51422024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 69 - 16 = 0. Let l be (r + -9002)*(87\/(-9) - -3). Round l to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1876 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 2*n**2 + 6*n + 8. Let d be w(-6). Suppose 3*r - 1 = 2*p - 4, 2*p - 10 = -4*r. Let h be 759\/d + p + 2 + -2. Which is bigger: 20 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -2*l**2 + 10*l - 15. Let k be n(2). Is (-12)\/k + 1 + 7*37 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 9 + (2 - 0 - 1). Suppose d = 2*i + 3*i. Suppose 36 = i*v - 30. Does 33 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.3374 - -4\nAnswer: 3.6626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((11 - 5) + -7)*0. Suppose d = -4*o + 5*f + 632, 5*o + 6*f = f + 790. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = 2*s - 367, 0*s - 63 = -c - 3*s. Let j = -74 + c. Solve 0 = -2*n + 3*n - j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 2*y**3 + 9*y**2 + 2*y - 4. Let i be b(-4). Let t = 3 + 1. Suppose t*r - 110 - 18 = 0. Calculate the greatest common divisor of i and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 82819167 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(75))**2*-6 - sqrt(108)*1.\nAnswer: -6*sqrt(3) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4 + -2. Suppose -1 = y - 5*m - 9, -i*m + 1 = y. Suppose -2*o = -1 - 5. Is o less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -8 divided by 290727\nAnswer: -8\/290727","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Calculate -27 - (-1 + -13) - -18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x**3\/5 + 4*x**2\/5 + x\/5 - 6\/5 = 0. What is x?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add -521 and -215906954.\nAnswer: -215907475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -2586954, -2586926, -2586894, -2586858, -2586818, -2586774, -2586726?\n\"Answer: 2*h**2 + 22*h - 2586978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s + 13 = 3*u - 8, 4*u = -2*s + 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -2*l + 7. Let j = 10 - l. Differentiate -b - b + 0*b - j*b - 8 with respect to b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -18*d + 4. Let w be p(-6). Suppose 4*t - 12 = 0, 5*m + 2*t = 64 + w. Let c = 128 + -114. What is the lowest common multiple of m and c?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 4720 = 4*l, -4*l + 0*v + 4705 = v. Suppose -4*u - 4*i = -l - 719, 968 = 2*u - 2*i. What are the prime factors of u?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = i**2 + i - 12. Give j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -1a28 (base 14) to base 8.\nAnswer: -11204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 316261?\nAnswer: 11, 28751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 497 - 376. Does 21 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -2*o - 108, -x + 5*x + 218 = -3*o. Let v be x\/35*50\/(-12) - 5. Factor 0 + 5\/3*i**2 - v*i.\nAnswer: 5*i*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(2\/45)*y**(4\/3)*y)\/(y**7*y**(15\/8)*y) assuming y is positive.\nAnswer: y**(-2699\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*v**2 - 1 + 1)*(16*v**2 - 14*v**2 + 15*v**2)*(2 + 1 - 2)*(1 + 0 + 0).\nAnswer: -34*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zz when two letters picked without replacement from {n: 9, z: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-1150)\/(-6325) - (-174)\/11?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v - f + 13 = 0, -1248*f + 3 = 5*v - 1251*f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5294.\nAnswer: 2, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -14*g**2\/5 + 18*g + 56\/5.\nAnswer: -2*(g - 7)*(7*g + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -10483, 1102, 5 in descending order.\nAnswer: 1102, 5, -10483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*h**5 - 6*h**4 + 6*h**2 - 3*h.\nAnswer: 3*h*(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -2*x + 9. Suppose -10 = -7*j + 2*j. What is the remainder when (j\/(-4))\/((-5)\/190) is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5796 - 5788. Sort n, 4\/9, 5, 0, 2\/17 in descending order.\nAnswer: n, 5, 4\/9, 2\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1064353682 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: List the prime factors of 752.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1326223013.\nAnswer: 1326223013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -697, -678, -641, -580, -489, -362?\n\"Answer: j**3 + 3*j**2 + 3*j - 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1464 is divided by 404?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxxxxxxxxzzzxxzxxx. What is prob of picking 1 z and 1 x?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 436 and 85896142.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 163118?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -43\/14 and 179\/24067020?\nAnswer: 168469140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.056 - 3.044. Let s = -1.7 - j. What is the second biggest value in -0.4, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5384\/7 + 774. Which is bigger: 6 or l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1549.56 - 1291.6. Round i to 0 decimal places.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -458568389263 and -962.\nAnswer: -458568390225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a**2 + 4*a + 6. Let f be w(-5). Let q = f - -1. What is the units digit of 12\/(-1)*q\/(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 6 - 2. Suppose 16 = 2*b + 2*b + r*z, 0 = -5*b + 5*z + 10. Suppose 2*k = b*k - 7. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18 - (-15 + ((360\/(-9))\/(-4) - 2)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1985774*l**5 - l**3 - l**2 - 7000714*l?\nAnswer: 39715480*l**3 - 6*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*d**4\/2 + 3687*d**3\/2 - 2958*d**2 - 1478*d = 0.\nAnswer: -739, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 46\/13 > 24\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1518 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3282*d**6 + 6*d**2 + 1.\nAnswer: -393840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the first derivative of -k**3\/3 + k**2\/2 - 3*k - 4. Let y(l) = 1 - 2*l**2 - 2 + 3*l - 6 + 0*l. Calculate -10*a(s) + 4*y(s).\nAnswer: 2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 81 and 507?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10110101010 + 111111010010?\nAnswer: 101000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 32968 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 50 + 42c457?\nAnswer: 42c4a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -11*i**2 + 52*i. Let p(x) = -x**2. Determine s(p(y)).\nAnswer: -11*y**4 - 52*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = 4*s + 12, 3*d + 8*s - 3*s - 40 = 0. Suppose -3*o - 1 = -d. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -43976370*h**3*i*t - 2*h**2*i*t + 21052921*h**2*i wrt h?\nAnswer: -263858220*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 164?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u = -8677*h + 8682*h - 15, 5*u = -2*h + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100000101110 + -11101011111011010?\nAnswer: -11110000000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/1*(-1558)\/123*(-3)\/(-1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = c**3 - 6*c**2 - 10*c + 1. Let i(f) = -2*f**3 + 12*f**2 + 21*f - 1. Let b(s) = 3*i(s) + 7*o(s). Is b(7) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3459 is divided by 3422.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 8.68599ml?\nAnswer: 0.00868599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) -6 (b) 1 (c) 2\/3 (d) 2\/167 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1256 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: 11111010111101 (base 2) to base 8\nAnswer: 37275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let 3870*y**4 - 4*y**5 - 1927*y**4 - 1939*y**4 + 20 + 56*y**3 + 76*y + 104*y**2 = 0. Calculate y.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10944\/42 - (0 - 4\/(-7)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 24*i - 91*i**3 + 26*i**3 + 30*i**3 + 483*i**2 - 22*i + 33*i**3 to the form p*i**3 + o*i + m + s*i**2 and give s.\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1707650270?\nAnswer: 2, 5, 19, 37, 449, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = 26.7 + -3.6. Let r = m - 23. Which is the biggest value? (a) 4 (b) r (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 75 - -3. What is the remainder when p is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2860923 is divided by 1028.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -l + 7. Let q = 4 - 0. Let n be f(q). Suppose 0 = 4*p - 2*p + 2. Put n, -4, p in descending order.\nAnswer: n, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 63 + -52. Which is bigger: h or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -175 (base 8) to base 15\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 30624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = -4*t - 5*i - 1, -4*i = 4*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s\/s**(-1\/4))**(-4\/23))**(3\/4))**(-1\/36) assuming s is positive.\nAnswer: s**(5\/1104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -1\/2, 0, 3, 1.741 in ascending order.\nAnswer: -1\/2, 0, 1.741, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -40*v**2 - 45*v - 2. What is u(-4)?\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 948 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -2*v - 2*v - 2*p, 0 = 3*v + 3*p + 12. Let l(d) = -8*d. Let w be l(v). Suppose 5*f + 32 + 12 = 4*o, -3*o + w = -4*f. Solve 0 = -0*s + 4*s - o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 9) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 68 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4\/28*0 + 2 + 0. Suppose 5*r + 6*c = 8*c + 38, -r - v*c - 2 = 0. Solve 2*a = -r - 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1285384 is divided by 2707?\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-88)\/880)\/(3\/(-96)) + (-258)\/15\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b + 9. Let g(r) = r - 11. Let h be g(11). Is p(h) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 243*f**2 - 35*f + 3*f + 5 + 2 - 293*f**2 - 5 to the form m*f + q + z*f**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 101*b - 100*b - 29 = 0. What is b rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uqauaoa. What is prob of picking 1 u, 2 o, and 1 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = 198 + -214. Let g = -32 + w. Is g less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-l + 10*l - 2*l)*(5*l - 2 + 6*l - 3*l)*(2*l - 2 + 2) as m*l + y*l**3 + c*l**2 + q and give y.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/(15\/6 - 2). Suppose -3*g = -4*v - 20, b*g + 0*v - 2*v - 40 = 0. Let p be 0*(-2)\/(1 - -3). Solve 3*z = -p*z - g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*h = -a + 10, -179*h + 178*h + 5*a = 242 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -1741621 (base 8) to base 12\nAnswer: -206555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = a**2 - 2*a. Let g(t) = 2*t. Let l(b) = 2*g(b) + 2*q(b). Let w(x) = 6*x. Give l(w(c)).\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*c**3 - 29000*c**2 + 86965*c - 57970.\nAnswer: 5*(c - 5797)*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 5\/8 (b) -1\/268 (c) -0.2 (d) -16 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -82 + 133 - 7*g**3 - 719 + g**3.\nAnswer: -6*g**3 - 668","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 17501 + 16815 = -1066*c - 11522 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 19880 and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -2*o**2 + 6*o - 2. Let u be x(4). Let d be (1\/2)\/((-1)\/u). Suppose d*r = 13 + 7. What is the lowest common multiple of r and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 48 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((sqrt(441)\/(sqrt(14)\/sqrt(2)))**2 - (-4 + sqrt(567))) - (-3*((sqrt(210)\/sqrt(5))\/sqrt(6) + -2*sqrt(847)))**2.\nAnswer: -27984 + 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -281\/224 + -1\/32. Let o = -34\/21 - n. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:10 AM and 2:20 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 64749 and 44967?\nAnswer: 970522761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 260 = s - 511, 2*s - 1552 = a. List the prime factors of s.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.23 + -95.77. Let f = y - -96.000061. What is f rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -115 - 225 = -4*g. Suppose -r + g = -41. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(1782) - sqrt(1782)*-1*6)*-5)\/((-3*(sqrt(11) + sqrt(99)) - sqrt(11)) + sqrt(11) - sqrt(11) - -5*sqrt(22)\/sqrt(2)))**2.\nAnswer: 99225\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = p**2 - 5*p - 7. Let h be w(7). Let g(n) = n**3 - 6*n**2 - 6*n + 1. Calculate the least common multiple of g(h) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.17 - 1.43. Let n = y + -0.4. Let j be 6\/8*2\/3. Put n, 0, j in descending order.\nAnswer: j, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - (-15 + 1 + 21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 207 and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 164960855 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*d - 49 + 16 = 0. Let b be 77\/5 - (-9)\/15. Let c(t) = -3*t + 20 - 9 + b*t. Let f(r) = 6*r + 5. What is d*c(a) - 7*f(a)?\nAnswer: -3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -236 (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1125, -1126, -1127?\nAnswer: -1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x and 1 g when three letters picked without replacement from {v: 2, g: 1, d: 1, f: 2, k: 2, x: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -36 (c) 5.64 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -7*s + 78. Determine v(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -17*p + 0 - 2*p + 0 in the form c*p + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 112101112021 - -12?\nAnswer: 112101112110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 + -21)\/(-3) - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a - 6. Calculate c(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3320262 is divided by 394?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14430 is divided by 2580.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = -21 + 23. Let x be (-12)\/(-12) + (1 - 47). Let z = -29 - x. What is the greatest common factor of o and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a - 6 + 1 + 6)*(a - 2*a + 2*a)*(-a**2 + 3*a**3 + a**2).\nAnswer: 6*a**5 + 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = -a - a, 3*a = 5*q - 10. Suppose 12 = -2*z - 4*i - 2, 4*i = 5*z + 49. Is z at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -117521797240 to the nearest one million.\nAnswer: -117522000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -3, -1540, 0 in decreasing order.\nAnswer: 4, 0, -3, -1540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**2\/5 + 175326*z\/5 - 175324\/5.\nAnswer: -2*(z - 87662)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - -2) + 0 + -42 + 16 + -97.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 113 = -91. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 4, 2552, -18 in descending order.\nAnswer: 2552, 5, 4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(4 + -1 + ((6*(sqrt(75) - (sqrt(75) + sqrt(75) + sqrt(75) + -2)) - (sqrt(75) + -1*(sqrt(75) + -2)))*-2)**2).\nAnswer: -4800*sqrt(3) + 43603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -9304.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5499888, -5499877, -5499866, -5499855, -5499844?\nAnswer: -5499833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -2*g - 3. Let d(t) be the second derivative of -t**2\/2 - 2*t + 4496. Calculate 4*d(j) - o(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:21 PM and 11:31 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ia when two letters picked without replacement from aaaaiaaaaaaaaiaaaaaa?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 3*a - 5. Solve -n + 3*n = 2*o, 2*o = -a*n + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 82.36 + -4030\nAnswer: -3947.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2 - -7)*(6 - -1). Let k = j - 28. Let y(t) = 44*t + 13. Is y(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = n**2 - 8*n + 17. Let l be j(4). Solve s = 3*h - l - 5, -4*s = -2*h - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 136 minutes before 4:49 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, e: 1, w: 2, d: 4}. Give prob of sequence dn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express 252 - 261 - 5*d + 4*d as y + u*d and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -3*t**3 + 4*t**2 + 2*t - 1. Let s be g(-2). Suppose 41*q - 4 = 42*q, 5*w - 4*q - 21 = 0. Suppose -9*k + s = -w. Solve -k*x - 3 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1576*v**2 + 5877*v.\nAnswer: -3152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1027 + -1018. What is the highest common divisor of 177 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -10*c**2 + 9*c - 89. Let x(t) = 5*t**2 - 4*t + 44. Determine -4*w(l) - 9*x(l).\nAnswer: -5*l**2 - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -212*h + 725 - 1575 = 1906 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*f + 27 - 81 = 0. Let o = 35 - 29. Solve f*b - o*b - 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s - 29 = 5*x, s + 17898 = -2*x + 17889 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11.15 + -12. Let f = 0.15 - j. Let g = -0.123 + 21.123. Which is smaller: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1 - 123216?\nAnswer: -123215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1617\/(-14)*(129\/(-18) - -8)*(-16)\/(-20).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**1)**(-2\/43)*s**(-1)*s*(s*s**(1\/7)*s*s)\/s)\/(s*s**(-1\/5)*s*s**(1\/11)*s)**(-3\/22) assuming s is positive.\nAnswer: s**(907087\/364210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5301 and 10013.\nAnswer: 90117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -131*u = -124*u. Factor -4\/7*r**3 + 0 + 0*r - 2\/7*r**4 + u*r**2.\nAnswer: -2*r**3*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 73511651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 14 - 13. Which is the closest to r? (a) -3 (b) 6 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 2*t + 22. Suppose 0 = -5*y - 5*s - 324 + 114, -4*y - 2*s = 172. Let n(v) = -1. Calculate y*n(l) - 2*m(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((((sqrt(117) - sqrt(117)*-1*-6) + 1*(1*sqrt(117) + sqrt(117)))*5)\/((3*sqrt(720))\/(sqrt(10)\/(sqrt(6)\/sqrt(3) + sqrt(2)))))**2.\nAnswer: -975\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6 + -2. Suppose y - 84 = -2*p, -2*y + s*p + 90 = -y. Suppose 4*a + 175 = 3*v, 3*v - y = v - 5*a. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 15 + 27. Let a = 49 - m. Let g(n) = -n**3 + 7*n**2 + n. What is g(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (2\/6)\/(-1)*(-70 + 76)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 145155491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*t + 111 = 9*t. Suppose 0 = t*z + 6, -2*r = 3*r + z - 43. Calculate the highest common divisor of 12 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -13 (base 6) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = b**3 - 48*b**2 - 36*b - 570. Let a be y(49). Solve -68*x - 5*u + 8 = -a*x, 0 = -x + 4*u - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -6 + (-177)\/118*14\/(-1). Let n(j) = 15*j + 5. Let r be n(4). Let c = r + q. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3)\/15 + (-4)\/(-70). Let i(n) = -4*n - n**3 + 4*n - n**2 - 2 + n. Let c be i(-2). What is the nearest to 1 in -0.1, c, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in two fifteenths of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16*x + 2*x**2 + 17*x + 3 + 186324*x**3 - 186322*x**3 to the form o*x**3 + c*x**2 + b*x + y and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u be -6 - (-3 - 0) - 0. Let p be (u - (1 - 0)\/(-1))*-6. Solve 0 = -j - 2*j + p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = x**2 - 47200*x + 990747. Give y(21).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is a9 + 9?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -10*c - 17. Let y be x(-8). Let w be (-20)\/(-7) - 8\/(-56). Suppose w*o = -3 + 24. Calculate the greatest common factor of y and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (85 - (-3604)\/204) + (-21)\/(-9)\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2958 and 174.\nAnswer: 2958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 165656*r + 10436323. Determine l(-63).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4932983cm to kilometers.\nAnswer: 0.000004932983","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by -1484137?\nAnswer: -5\/1484137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51 = 2*z + 2*z - 5*t, 0 = -4*z + t - 55. Let n be ((-4)\/z)\/(3\/42). Suppose n = f - 0*f. Which is the nearest to 4\/3? (a) -0.5 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (105\/(-28))\/(3\/28). Suppose 0 = -4*z + 5*z - 5*p + 63, 220 = -4*z + 4*p. Let a = w - z. Calculate the greatest common divisor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = 7*n - 4*q - 8, 2*n - 4*q = 12. Which is the biggest value? (a) n (b) 12 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 10, -8, 3, 19 in decreasing order.\nAnswer: 19, 10, 3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 219*p + 561 + 1614 = 116*p - 606 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-15)\/(-260))\/(9645\/200616).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -416d (base 15) to base 12\nAnswer: -8004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3765 - -4257. Calculate the greatest common factor of c and 1353.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x = -4*t - 0*t + 16, -x = -4*t + 19 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*x + 11*x + 3*x + 8*x - 8*x.\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide 2178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2)\/(-2) - 10\/2. Let s be 1\/4 - 3\/q. Let l = 908 + -908. Put s, l, -2 in decreasing order.\nAnswer: s, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -1261605 (base 7) to base 16\nAnswer: -289a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 274439 is divided by 2018.\nAnswer: 2009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6 in -18.8, -0.5, -0.21?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 987353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-2\/9))**(24\/11)\/(u*u*(u*u**(-12\/5))\/u*u**(-21)) assuming u is positive.\nAnswer: u**(3451\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 9*h + 0*h + h**2 + 0*h**2 - 6. Suppose 2*v - 307 = -5*k, -3*v = -7*v - 4*k + 584. Let u be 45\/(-75) - v\/15. Give m(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -0.2, 0.045, 0.13, -1, -175, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -70460 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ihq when three letters picked without replacement from {q: 1, c: 5, h: 7, i: 1}.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6550*j - 6574*j + 96 = 0. Put 1, 2543, j in decreasing order.\nAnswer: 2543, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-264 + 191 - 582 - 239)*(2 - 2 - 2*n) to the form s + r*n and give r.\nAnswer: 1788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = -178 - -178.5. Which is the closest to 0.3? (a) -3\/4 (b) -2\/9 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1481\/4 - -4451\/12. What is l in -d*l**2 + 2\/3*l + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 2*t + 6 = 6*p, 0 = -2*p - 4*t + 12. Suppose 7 = j - p. What is the remainder when 18 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -133917470 take away 0.1169?\nAnswer: -133917470.1169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/((j**1*j)\/j)*j**(-3\/5))**(9\/7)\/(((j\/(j*j\/(j*j\/((j**2*j)\/j))))\/j**(-3\/7))\/(j**1)**(8\/3)) assuming j is positive.\nAnswer: j**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14*z**3 + 172*z**2 - 3*z**3 + 10*z**3 + 9*z**3 - 1295*z**2 to the form s*z + p + q*z**2 + v*z**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 3*k - 12 = -0*k, -3*n = -5*k + 24. Sort -12, n, 4, 5 in descending order.\nAnswer: 5, 4, n, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -5, -2, 8, 1 in increasing order.\nAnswer: -5, -3, -2, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -1.096 less than 729.444?\nAnswer: 730.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sum 4 and 419398046.\nAnswer: 419398050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 166 and 12367?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7 + -29. Let z = 88\/75 - 6661\/1650. Calculate the common denominator of z and (1\/3)\/(m\/141).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -115.1586 rounded to the nearest integer?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -2877, -2881, -2885, -2889?\n\"Answer: -4*s - 2873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = 25, -82*j + 78*j - 13 = -5*v. What is i in 10\/3 - 6\/5*i**2 + 2*i + 2\/15*i**j = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1569 is divided by 129?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 119882 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -10*p. Let o(r) = r**2 - 14*r. Let a(g) = -g**2 + 10*g. Let h(u) = 7*a(u) + 5*o(u). What is h(x(q))?\nAnswer: -200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 11348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-2*(sqrt(56) - sqrt(896)))\/(sqrt(72)\/(sqrt(144)*-1)).\nAnswer: 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 44781725\/17619 - 254\/2517. Let z = t + -2548. What is the common denominator of z and 4\/4*(-59)\/(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3*v**3 + 92*v**2 - 334?\nAnswer: 9*v**2 + 184*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) be the first derivative of -3*q**2\/2 + 4*q + 1. Suppose 7 - 34 = -9*y. Let n(k) = -4*k + 4. Let m(b) = y*f(b) - 2*n(b). What is m(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/6*-3 + 11. Let y(o) = o**2 + 2*o + 1. Let q be y(-1). Solve q*j = -3*j - n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/11 or 1237.4?\nAnswer: 1237.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1 - -5. Let f(z) = -z**3 - 18*z**2 + 9*z + 659. Let q be f(-16). Solve -3*r - q = -3*m, -r - 2*m - 3 - o = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 4a54b (base 12) to base 5\nAnswer: 11213003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 59392*p + 59390*p - 63*p**3 - 118782*p.\nAnswer: -63*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4*(-15)\/(-2)*((-4)\/(-6))\/(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be 342\/(-27) - (-5 + -6). Let f = 0 - -0.1. Which is the third biggest value? (a) f (b) r (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28051*o**3 + 9252*o**3 + 9339*o**3 - 2 + 9376*o**3.\nAnswer: -84*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -10*u**4 - 823*u**3 - 88*u**2 + 4*u.\nAnswer: -240*u - 4938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -124 + -34. Let n = 319 + f. Find the second derivative of n - 6*t - 161 - t**2 wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*f**2 + 7*f - 11*f + 4*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -325449, -325448, -325447, -325446?\n\"Answer: h - 325450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 9 = 3*q. Solve 0 = 4*a + 4 + 12, -q*g = 5*a + 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwwwwwwwqqwwwwq. Give prob of picking 2 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*k - 3*k + 2*k + (-3 + 2 + 0)*(-3*k - 2*k + 4*k) - 3*k - k + 5*k)*(6*k**2 - 8*k**3 - 6*k**2).\nAnswer: -48*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -143*s**2 + 13*s**3 + 22*s**6 + 18*s**6 + 11*s**6 - 16*s**3 wrt s.\nAnswer: 6120*s**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5872*h**5 + h**4 - 10*h**3 - 113*h**2 - h - 742 wrt h?\nAnswer: 352320*h**2 + 24*h - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 6*i**3 - 4*i**2 - 5*i - 3. Let t(w) = 5*w**3 - 3*w**2 - 4*w - 2. What is -4*p(f) + 5*t(f)?\nAnswer: f**3 + f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 18427 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o**4 - 7*o**3\/2 - 3*o**2\/2 + 4*o + 2 = 0. Calculate o.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2912.2333 + 2912. What is g rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 88 + -530. Let z = -435 - y. Solve 0 = 5*q - t - 17, -4*q - 2*t + z*t = -1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 6*v**3 - 2*v**2 - 6*v - 8. Let o be m(-2). Let b = o + 34. Let i be (960\/b)\/((-1)\/(73123 + 2)). Round i to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -x**2 + 23768*x - 95056 = 0. Calculate x.\nAnswer: 4, 23764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 325 is divided by 56?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the third derivative of k**4\/24 + 5*k**3\/3 - k**2. Suppose -2*g = -3*m + 14, 4*g + 28 = 5*m - 4*m. Calculate h(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express d**3 - 19 + 10 + 0*d**3 - 16 - 23*d - 10*d in the form x + u*d + c*d**2 + l*d**3 and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.059 + -589.059. Let q = 587 + a. Put -1\/11, q, -1.2, 5 in decreasing order.\nAnswer: 5, -1\/11, q, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 7419\/(-27) + ((-22)\/18 - -1). Let r = 279 + x. Solve r - 12 = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -10*y**3\/17 + 118*y**2\/17 - 352*y\/17 + 312\/17.\nAnswer: -2*(y - 2)**2*(5*y - 39)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 4*f + 2*f**2 - 5*f + 2 + 0*f**2. Let i(l) = 32*l**2 - l + 42. Let c(s) = 50*s**2 - s + 66. Let o(x) = -5*c(x) + 8*i(x). Calculate 8*g(j) - 3*o(j).\nAnswer: -2*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -6 * 62.0556\nAnswer: -372.3336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -94a8 (base 13) to base 7.\nAnswer: -114010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) be the second derivative of -w**4\/12 - 5*w**3\/6 - 11*w**2\/2 + 1600*w. Calculate h(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12*42\/12*(228\/(-28) - -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jndg when four letters picked without replacement from wjgwdjjjdgdnfdwjg.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -11.919 - -11.9190003938. What is d rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -3397*g + 101885. Give r(30).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3672 - 5859 = 81*g for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3233322 + -10302?\nAnswer: 3223020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4\/37 or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 + 3 = 2*c. Let v(a) be the third derivative of -a**5\/20 - a**4\/24 - a**3\/6 + 9*a**2. Let d be v(c). Is -2 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2753 minus 2029288.438?\nAnswer: -2026535.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence no when two letters picked without replacement from vnyyvovvrnyqyyo.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.2585275 days to nanoseconds.\nAnswer: 22336776000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -503*l - 210*l + 763863 = -8276*l for l.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -10*b**2 + 45*b + 87. Determine t(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 264 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-109 - (-1 + (-20 - (9 - 22)))) + 16?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 1, x: 2, k: 1, y: 1, o: 2, w: 2}. What is prob of picking 1 o, 2 w, and 1 x?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 2194*4\/(-8)*(3 - 10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 6*c. Let g(t) = -1. Let x(r) = -r - 4. Suppose -12 = 2*u - 2*p, 1 = -4*u - 5*p + 22. Let m(o) = u*x(o) + 4*g(o). Calculate w(m(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4229 is divided by 386.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l + 1. Let s be u(3). Suppose -2*d + s = 5*g, 0*g = 4*g. Suppose -d*k + 3*y = 3*k - 58, 2*k - y - 23 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 3333974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 84569?\nAnswer: 19, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 640218 and 5632?\nAnswer: 1802853888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.303 - -141113656848?\nAnswer: 141113656847.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 3*w**2 - 5*w + 31. Let o be d(6). Suppose 0 = -i + 3*i + 8, -v = 4*i - o. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.01 (b) 89 (c) 30\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (328\/40 - (-9 + (-230)\/(-25))) + (-760)\/140?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 7 and 10171.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 392.6 * 343806.\nAnswer: 134978235.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = 34 - 26. What is the greatest common factor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 1 h, and 1 y when three letters picked without replacement from {y: 4, d: 4, x: 1, h: 1, m: 1}?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from gdfdggggdddfdfffdd.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = -24 - -52. Let v be (-34)\/(-6) + (-2)\/3. Solve 4*c - 2*c = -v*j - u, 4*c - j + 12 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**3 + 3*b**2 - 5*b - 2. Let w be k(-4). Suppose w*l + 0*v - v - 23 = 0, -4*v + 16 = l. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-9)\/(-9)*(-3)\/(4*-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11 + -1232331312130?\nAnswer: -1232331312113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-1))**(5\/8)\/((a**(1\/4)*a)\/(a\/((a*a**(1\/2)*a)\/a)))*(a*a\/(a**(-3\/5)\/a*a))\/a**(-1\/4)*a**(4\/5)\/(a**(-2\/11)\/a) assuming a is positive.\nAnswer: a**(1081\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-7\/5)\/(k**(-44)*k))\/(k\/((k*k\/(k*k**(-25))*k)\/k)*k*k**(-28)) assuming k is positive.\nAnswer: k**(468\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 + -39731956.\nAnswer: -39731956.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j and 1 w when three letters picked without replacement from qgwgxqjqjgvxqw.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5 + 135. Let g = n - 127. Solve 2*q = -2*k - 2, -5*q + 0*q + 3 = -g*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 384, 741, 1098, 1455, 1812?\nAnswer: 2169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(36)*3)\/sqrt(2).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.258 - 0.042. Let n = 90 - 91. What is the second biggest value in n, 0, b, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out -115029 + -243894.8.\nAnswer: -358923.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = -168\/5 - -34. Let p = -30 + 31. Which is the smallest value? (a) u (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -15.6302 and -187.\nAnswer: -202.6302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3 (b) 10 (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z be 7\/(-3)*(-8)\/28. Let g = 16\/51 + 6\/17. Let g*p + 0 + z*p**4 - 2\/3*p**2 - 2\/3*p**3 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -366*3.\nAnswer: -1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.9, -64, 2, -3\/4?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-66)\/4*1*-6. Let z be 63 - (-4)\/((-12)\/(-9)). Let o be ((-2)\/(-3))\/(4\/z). What is the greatest common divisor of j and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3200) + 0)*5 - -3*(((sqrt(72) + sqrt(72)*2 + sqrt(72))**2 - sqrt(72)) + sqrt(98) + -1 + sqrt(98)).\nAnswer: 224*sqrt(2) + 3453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -40*u**2 - 9*u - 45*u**2 + 88*u**2 in the form l*u**2 + a + d*u and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.2 + 0.1. Let j = -13.474 + 0.074. Let u = 13 + j. Which is the closest to f? (a) u (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {i: 3, l: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 40484386.76 to the nearest 10000.\nAnswer: 40480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = -54 + 59. Suppose 3*y - 4*s + 288 = -s, 4*s = -n*y - 516. Let i = y - -108. Which is smaller: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 4*x + 7*x + 153 = 0, q - 35 = 5*x. Let s(f) = 2*f**2 + 3*f + 3. Let p be s(-3). Calculate the highest common divisor of p and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -15*k - 1. Calculate s(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be -3 + (-1)\/(-1)*(10 + -7). Let p(d) = -2*d + 2. Let x be p(m). Determine s so that -512 + 6*s + 3*s**2 - 2*s**x + 517 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 51501798 divided by 34266.\nAnswer: 1503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1153, 2308, 3473, 4654, 5857?\nAnswer: 7088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -15957, -15979, -16013, -16059, -16117, -16187, -16269?\n\"Answer: -6*y**2 - 4*y - 15947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 117*v + 20. Let n(r) = 232*r + 42. Let p(s) = 5*a(s) - 3*n(s). What is the first derivative of p(z) wrt z?\nAnswer: -111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:56 AM and 4:26 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 222 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 59\/4 of a kilogram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10010000 + -1000001?\nAnswer: -11010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -30, -10, 38, 120, 242, 410, 630?\nAnswer: 908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 7*h**3 + 16*h**2 + 10*h + 11. Let s(u) = 10*u**3 + 24*u**2 + 15*u + 16. Let k(n) = 7*m(n) - 5*s(n). What is k(-7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*j + 5*j + 3*j + 0*j + 4*j.\nAnswer: 33*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*p**3 + 4*p + 77*p**3 - 6*p**3 + 24*p**3.\nAnswer: 92*p**3 + 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the second derivative of q**7\/360 + 241*q**4\/12 + 87*q. Let n(c) be the third derivative of k(c). Let s(h) = -4*h - 4. Give n(s(t)).\nAnswer: 112*t**2 + 224*t + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nnnnnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -133\/18 and -83\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 0.1, 1, -0.1, -568, 1\/4, -13 in ascending order.\nAnswer: -568, -13, -0.1, 0.1, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 2*h**2 - 7*h - 1. Let a be u(5). Suppose 0 = 4*n + l - a, 2*n + l = -2*l + 12. Find y such that -9\/2 - 1\/2*y**2 - n*y = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 9 = 3*v, -l + 6 = 3*l + 2*v. Let z = 1 + l. Calculate the remainder when 2 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -7\/18, -1, -355\/1728 in descending order.\nAnswer: -355\/1728, -7\/18, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) -1\/2 (b) -0.7 (c) -4 (d) 616 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -526 = -3*x - 2*g, g - 3*g = -5*x + 850. Calculate the greatest common factor of 473 and x.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 8 - 3. Suppose -v + 0*v = -s. Suppose -7 = v*n + 3. Is -2 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -177*4\/(-12) - 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -4*h + 23. Solve h*t + 40 = -5*p - 0*t, 0 = -4*t - 20 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 94881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -3*d**2 + 7*d - 8. Calculate i(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 519 - -549. Let r be (2\/(-6))\/((-4)\/p). Suppose -91 = -5*z + r. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 + 2. Let b be 1\/(y\/80)*-4. Round b to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4696005511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 132917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.249 - 7.631. Let t = 7 + d. Let x = 0.87999989 + t. What is x rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 12 = -5*t. Suppose -2*v = t*o - 0*v - 40, 33 = 3*o + 3*v. Calculate the least common multiple of 6 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -1 + 18 - (-5 - -5). Suppose -5*v - 3 = 2*x, 0*x = -4*v - 2*x - 4. Let l = z + v. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-2\/15))**(13\/4)*d**(-19\/4)\/d*d**(-3\/32)*d)**(-2\/41) assuming d is positive.\nAnswer: d**(2533\/9840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 288135400.\nAnswer: 2, 5, 7, 277, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001131762 rounded to 6 decimal places?\nAnswer: 0.001132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -1381 at least as big as -1381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00827496 rounded to five decimal places?\nAnswer: 0.00827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 152 + -163. Let l(b) = -b**3 - 10*b**2 + 14*b + 26. Let a be l(v). Let q(f) = f**2 + 4*f - 17. Give q(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8 and 249876.\nAnswer: 499752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1844620986 to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = 760 - 405. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 4*i + 0*i = 0, -h = -5*i. Let o be (-35000 + 0)*4 - h. Round o to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 315 and 3955.\nAnswer: 35595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*m**3 - 4612*m**2 + 9230*m - 4616.\nAnswer: -2*(m - 1)**2*(m + 2308)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {f: 1, a: 7, c: 4, m: 3, y: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 2428*m**2 + 4*m - 4. Let d be n(3). What is d rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-2)\/(-3))\/(12\/342). Let g = 51 - b. Let d = 32 - g. Solve d = r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 107\/554238 and -91\/9020?\nAnswer: 60966180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*z + 2*z - 5*z)*(228*z + 43*z + 517*z + 112*z).\nAnswer: -900*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o**(-3\/7)*o)\/o*o\/o**2*(o*o**(-3))\/(o*o*o\/o**(4\/3)*o*o))**(-33))**(9\/13) assuming o is positive.\nAnswer: o**(14751\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-18 + 78)\/(6\/32). Suppose 0*d - 3*d = 12, 5*t = -d - 39. Let o be 3\/t + p\/(-70). Is -5 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -381536*y**2 + 75953 wrt y.\nAnswer: -763072*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (-10 + 10 - 2*j)*(-3*j**3 + 3*j - j**3 + 2*j**3) in the form n*j**2 + q + v*j + f*j**4 + b*j**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, e: 3, o: 2, r: 1, i: 5, u: 1}. What is prob of picking 1 i and 1 r?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -150\/91001 or 1?\nAnswer: -150\/91001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -216648 = -131*s + 80*s. Is s a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.7 + -0.3. Let h = 9 + -10. Which is the closest to g? (a) h (b) -0.2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7641642 and 5018?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k = -48, -16*x - 20*x + 206 = 13*x - 51*x + 13*k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is y in -5*y**3 + 79785*y**2 + 399080*y - 478860 = 0?\nAnswer: -6, 1, 15962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 12934 and 138037?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(1216)*1*3 + -5)*6*6 + -1)*1)**2*-4.\nAnswer: -56864740 + 1251072*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -10 - -4. Let d = o + -10. Let v = d + 27. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2283899 by -37.\nAnswer: 61727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**3*i*i**38 assuming i is positive.\nAnswer: i**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = k**2 + 6*k + 4. Let l(u) = -u**2 + 2*u - 6. Let i(a) = 5*a**2 - 9*a + 25. Let w(o) = -2*i(o) - 9*l(o). Let s be w(-3). Give t(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2011*l + 35 = -2006*l + 5*n, -4*l + 4*n - 60 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -233 - -1?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -10 + (1 - -4) - (-2 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = 0, -2*o - 2*o = -2*q - 104. Let i = q + 150. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -0.1, -293\/2, -33, 1\/7, 3\/5, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 33*m**3 - 31*m**3 + 0*m - 3 + 2 - m to the form f*m**3 + w + k*m**2 + x*m and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -239214540 to the nearest 1000000.\nAnswer: -239000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-1)\/(-3))\/(232\/24 + -9). Let y(b) be the third derivative of 0*b**4 + v*b**3 + 0 - 1\/20*b**5 + 0*b + 3*b**2. Suppose y(n) = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20282 is divided by 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1006, 1009, 1012, 1015, 1018, 1021?\nAnswer: 1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*n + 177*n - 158*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -1 times 0.467\nAnswer: -0.467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in four thirds of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = -5*x - 6, -4*l - l + 15 = -4*x. Suppose 5*y - 2*o - 7 = -x*o, o = 4. Let z(d) = -d + d - y*d. Let r(c) = -c**2. Determine r(z(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 538*p**3 + 551*p**2 + p - 1. Let u(l) = l - 1. Let c(y) = 2*t(y) - 2*u(y). What is the third derivative of c(g) wrt g?\nAnswer: 6456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate ((-23)\/(-690))\/(2 + (-24)\/10).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of 494 and -0.04399.\nAnswer: -21.73106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 47943657973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -10457.6154 rounded to the nearest integer?\nAnswer: -10458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 5 = 5. Suppose -27 = -s - 5*p, -d*s + 2*p - 6 = -3*s. Let a(r) = -r**2 + 39 + 0*r**2 - 38. Determine a(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - -4112821.\nAnswer: 4112824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (27*d**3 - 69*d**3 + 32*d**3)*(-222 - 226 + 603) to k*d + i + t*d**2 + f*d**3 and give f.\nAnswer: -1550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*x + 4*s, -14 = 5*x + 268*s - 266*s. Let t(m) = -7*m**2 + 4*m + 7. Calculate t(x).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {g: 9, t: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1\/(-4) + (-63)\/(-28). Suppose r*n - 17 = n. Suppose 882 = c + 4*f + 786, -2*c = -f - 120. What is the remainder when c is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of (-5 + 0)\/(3\/(0 + -6)) and 189.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s - 7 = -3*f, 5*s - 11 = 201*f - 203*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from wwwwhsh?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2368 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h + 133. Give w(33).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 8 = 3*n + 2*y, -2*n - 5*y + 20 = 0. Suppose -6 = -2*d + 4*i + 4, n = 5*d + 5*i - 10. Sort d, 0.4, -0.3.\nAnswer: -0.3, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*b - 5*b + 4*b)*(1137*b + 733*b - 44*b - 68*b).\nAnswer: -1758*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-40)\/5)\/2 - -6. Solve -4*g + 2*h = 12, -g - c*h = -4*h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(228) + (3*sqrt(228)*-1 - sqrt(228)) + sqrt(228) + (4*-3*sqrt(228) - sqrt(228)))\/(1*sqrt(432)*2 - (sqrt(432) + 2*sqrt(432)*1)).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*-122.\nAnswer: 48.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 1152 divided by -2\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -144004304 (base 5) to base 4\nAnswer: -2323003330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 38 - 59. Let w = x - -18. Sort w, 2\/13, -2\/3 in decreasing order.\nAnswer: 2\/13, -2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qkt when three letters picked without replacement from bqbbiebbteqeqk?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -38 - 1402*w**2 + 22 + 18 - 399*w**2 - 55*w**2 in the form n*w + y*w**2 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -2*s**2 - 26*s + 12. Calculate a(-5).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21519033.\nAnswer: 3, 1613, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((-2 + sqrt(12)\/sqrt(6))**2 - (4 + sqrt(2) + -5)**2).\nAnswer: -2*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 3*f**2 - 11*f + 7. Let m(y) = -4*y**2 + 16*y - 10. Let c = -137 + 132. What is c*m(n) - 7*w(n)?\nAnswer: -n**2 - 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -501, -453, -395, -321, -225, -101, 57, 255?\n\"Answer: w**3 - w**2 + 44*w - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 9683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-13)\/33)\/(47905\/331650)?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 87 divide 178077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-3)\/((216\/20)\/((-16)\/(-20))). Which is the third biggest value? (a) 13.2 (b) t (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 273 + -126. Suppose -d - 94 = -k, -477 = 5*d + 3*k - 7. Let x = d + n. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 2.3404+-66.35556\nAnswer: -64.01516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.2 - -0.3. What is the closest to g in 3, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 229 - 921\/4. Which is the second smallest value? (a) m (b) -9 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 72 and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*d**3 + 0*d**3 - 3*d**3 - 5*d**2 + d**3 + 5*d**2 + 0*d**3 - 3*d**3 + 4*d**3 + (-3*d + 3*d + 2*d**3)*(3 + 3 - 4) - 2*d**3 + d**3 + 2*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 7\/2 of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 21, 40, 61, 84, 109, 136, 165?\n\"Answer: l**2 + 16*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 15.44 - 15.74. Let g = -10 + 9.93. Let t = 0.67 + g. Which is the biggest value? (a) r (b) 0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kzneefft?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -r + 2*t - 3 = 0, 2*r + r + 9 = -4*t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 20454 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 348 - 910. Let i = t + 2247\/4. What is the closest to 9\/4 in i, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -3 (b) 2\/9 (c) -238.01 (d) 0.1 (e) -5 (f) 0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/100, 62, 2\/5, 1, -2\/5, 1\/7 in descending order.\nAnswer: 62, 1, 2\/5, 1\/7, 3\/100, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -3\/2, 7, 20, -7, 0.5 in increasing order.\nAnswer: -7, -3\/2, 0.5, 4, 7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 9334 by 2.\nAnswer: 4667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 7523 divided by -5\nAnswer: -7523\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49*z - 68*z + 456 = 0. Suppose -103*n + 95*n + z = 0. Solve -2*q - 3*d - 10 = -6*d, -n = 5*q - 2*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/(0 - (-2)\/6). Let o = 12 - d. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -39.14 + 40.04. Let j = 4.9 - -0.1. Which is smaller: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eeme when four letters picked without replacement from {m: 3, e: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 17469.0009307 + -17469. Round z to five decimal places.\nAnswer: 0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1308246028 to the power of 1\/3, to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = -17353 - -17554. Calculate the greatest common divisor of 11591 and c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 11\/27 and 113\/36471018?\nAnswer: 328239162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -7*y**2 + 1348. Let u(w) = 2*w**2. Determine d(u(b)).\nAnswer: -28*b**4 + 1348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*(n*n**(3\/2)\/n)\/n*n**(-4)*(n\/((n*n\/(n**(-1)\/n)*n)\/n*n))**(5\/6))**11 assuming n is positive.\nAnswer: n**(-385\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 18*x + 17*x + 15 = 0, 3*x - 19 = -2*y. Which is the nearest to y? (a) -0.05 (b) 2 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16711 - 58660 = -753*s + 23562 for s.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -180 + 181.94. Let q = -0.06 - i. Are q and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 4*p - 5. Let u(k) = -3*k + 4. Let g(v) = 4*c(v) + 5*u(v). Let i(z) = -3*z**2 - 5*z**2 + 5*z**2 - z**2. What is i(g(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 705, 2708, 6045, 10716?\nAnswer: 16721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -667\/6 - -223\/2. Sort 0.1, -0.178, l in descending order.\nAnswer: l, 0.1, -0.178","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 13*a**3 - 2*a**2 - 2*a + 30. Let l(b) = -103*b**3 + 17*b**2 + 17*b - 240. Calculate -2*l(j) - 17*o(j).\nAnswer: -15*j**3 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence am when two letters picked without replacement from mamaaaaammaama.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -32\/62729 or 0?\nAnswer: -32\/62729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*i**3 + 8851*i**2 - 78340201*i\/8.\nAnswer: -i*(4*i - 8851)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 653.7844ml to litres.\nAnswer: 0.6537844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (4*n**2 + 0*n**2 - 2*n**2)*(17*n - 17*n + 38*n)*(-9 + 9 + 3*n) in the form u*n + w*n**2 + v*n**4 + g*n**3 + c and give v.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11207962 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m**2 - 2*m - 2. Let l(z) = -1. Let f(y) = 3*l(y) - p(y). Let s(i) = i**2 - 5*i + 2. Let h be s(4). Give f(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 28900\/9 + 340\/9*z + 1\/9*z**2 = 0.\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*b - 217 = -15*b - 5*j, -4*b + 800 = 3*j. Solve b = i + 195 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -88 - -87.304. Let n = q - 3.394. Round n to 1 decimal place.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -3*l - 18. Let m be s(-7). Suppose -m*b + 92 = b. Solve -2*h = 3*j - b, -2*j - h = -5*j + 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.4, -3\/4, -5, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 83322 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -422, -851, -1248, -1613, -1946, -2247?\n\"Answer: 16*a**2 - 477*a + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1100 + -11111111111011101011?\nAnswer: -11111111111011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/13 in -1\/4, 4, -6, -0.3, 5, -2495.7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1a6 + 11?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41 + 3 + 29 + 14*s**3 + 5*s.\nAnswer: 14*s**3 + 5*s + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = u + 10. Let y be l(-9). Suppose x - y = -x - 3*z, -4*z + 3 = 3*x. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-30 - -5) + (-5 - -6) - 4) + 1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1239 - -1243. Solve 0 = -p + z*p - 3, -s = -3*p + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3.95 + -0.05. Suppose 4*p - 5*g - 3100 = 0, 3*p + 5*g - 1546 = 744. Let l be (-4)\/5 + 756\/p. Sort l, h, 0.1 in descending order.\nAnswer: l, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*p**4*w**3 - 3*p**3*w**3 - p**2*w**2 + 599*w**3 wrt p?\nAnswer: 48*p*w**3 - 18*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -4*r**2 - 2. Let t(g) = g. Give t(a) - x(a).\nAnswer: 4*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/((p\/p**5)\/p)*p\/(p\/(p\/p**3)))\/((p**(2\/9)\/p)\/p*p**(6\/11)) assuming p is positive.\nAnswer: p**(518\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*m - 2*m**3 + 50*m + 35*m - 76*m.\nAnswer: -2*m**3 + 32*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2183055 and 13453?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 462.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 1 = -f - 2*f, 5*w - 13 = -4*f. Suppose -w*u = 0, 4*u - 6*u + 2030 = 5*x. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 94650, 94550, 94450, 94350, 94250, 94150?\nAnswer: 94050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8\/16*436\/(0 - -1) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -5*k**3 + 2*k. Let x = 13 - 10. Suppose 3*t + l = 4*l + 18, 0 = x*t - l - 14. Let u(r) = -t*r**3 + 1 + 2*r + 2 - 3. What is -6*c(g) + 7*u(g)?\nAnswer: 2*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 79 (b) -3 (c) -4\/5 (d) -5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 360 and 10550160?\nAnswer: 10550160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9 - 9.4. Which is the third biggest value? (a) 0.1 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -3 - 4*h**2 + 3. Let b(t) = 2*t**2 - 3*t + 1. Let k be b(3). Let j(u) = -k*u + 0*u**2 + 10*u + 2*u**2. What is c(j(s))?\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -104 + 4d?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 3, s: 1, b: 1, h: 1, w: 1}. What is prob of picking 1 s and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6 + -3. Suppose -u*b + 2*l = -2*l + 1, 0 = l - 4. Suppose 98 = 2*o + h, -95 = b*o - h - 340. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/102 and 83\/120906.\nAnswer: 2055402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -162*d**2 - 153*d**2 - 42*d**2 + 90*d**2.\nAnswer: -267*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 34254, 34253, 34250, 34245?\nAnswer: 34238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-433)\/(-6) - (34\/(-12) + 3). Suppose -3*w - q = -7*w. What is the second derivative of 3*f**2 - 13*f**2 - 8*f - w*f wrt f?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-33781)\/(-2880) + (-3)\/((-15)\/2). Let t = g - 17\/576. Find the common denominator of 12\/11 and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3404 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 4*n, -v + 0*v = -4*n - 13. Suppose 2*j = -1 - 1. Let c = -67 - -62. Sort v, j, c in descending order.\nAnswer: v, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1079, -1078, -1077, -1076, -1075?\n\"Answer: q - 1080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -2904325 divided by 25\nAnswer: -116173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 2*a**3 + 3*a**2 - 2*a - 2. Let s be g(-2). Let p be 57\/s*(-1)\/((-12)\/128). What is the tens digit of ((-5)\/(-10) + -2)\/(6\/p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1658732 is divided by 2599.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 405 and 609954.\nAnswer: 82343790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 16*x**2 - 53*x - 1. Determine u(7).\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 8785, 8787, 8789?\n\"Answer: 2*l + 8783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/(-3*1))\/((-300)\/30)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by -184\nAnswer: -1\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 168, -125, 0, 2 in increasing order.\nAnswer: -125, 0, 2, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -x + 59*x = -580 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11 - 10100010?\nAnswer: -10100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 67093293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 37591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - 0) + 4 + -4 - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -6766 by -2.\nAnswer: 3383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 0*a + 4*m + 108 = 0, -5*a - 3*m = -335. Suppose -26 = -5*u + a. What is the greatest common divisor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 272399664*s**4 + 35921*s**2 + 13*s - 2?\nAnswer: 6537591936*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 344565960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 3*k - 22. Suppose k*z + 160 = 8*z. Suppose 0 = 4*h - 400 + z. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 3*g - 0*g. Let a = -261 - -264. Calculate the lowest common multiple of g and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 4 + 0)*(-4 + 3 + 0*f - f + (4*f - 2*f - f)*(0 + 1 - 2)).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (8 - 14*t - 8)*(0 - t + 0).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.057411 * 2.1.\nAnswer: 0.1205631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2*1*8*-2. Let f = 94\/3 + p. Let o = 10 - 9. Which is the third smallest value? (a) 1\/9 (b) f (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2526\/11 != -0.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12 - -22. Let l = h + -7. Which is the closest to l? (a) -1 (b) 1\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -24761\/1092 + 3\/364. Let y be (-21)\/(-20)*808\/36. Let q = y + d. Find the common denominator of 61\/4 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -5792648, -5792666, -5792684, -5792702, -5792720?\n\"Answer: -18*o - 5792630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -304076460 by -1246215.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -164147, -164145, -164143, -164141, -164139?\nAnswer: -164137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (((-105)\/2898)\/(-5))\/((-1)\/18)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2508 + 3725. What are the prime factors of o?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000197787398 rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -6627 + 5?\nAnswer: -6622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(78)*-1 - sqrt(78))*1)\/((sqrt(18) + (sqrt(18) - 3*sqrt(18)))\/sqrt(3)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be 485102\/132 - 2\/6. Let l = m + -3679. Let f = 5841\/10 + -585. What is the common denominator of l and f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 897227.761 to the nearest one hundred.\nAnswer: 897200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -2*p + 2*p**4 - p**2 - p**4 - 1 + 2*p**2 as x*p**2 + t*p**3 + n*p**4 + u*p + g and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = z**2 + 8263*z - 182308. Give h(22).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b**3 + 10*b**2 - b - 9. Let v be d(-10). Let j(f) = -f**2 - 1. Let i(g) = -2*g**3 - 5*g**2 - 3. What is v*i(y) - 3*j(y)?\nAnswer: -2*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -110011001100100 (base 2) in base 4?\nAnswer: -12121210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*v**4 + 8*v**4 + 8*v**2 + 4*v**3 + 0*v**3 - v**4 = 0 for v.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -25169160 to the nearest ten thousand.\nAnswer: -25170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:11 AM and 4:51 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/30*1)\/(26\/(-208))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -2*y**3 + 3*y**2 - 9*y + 3. Let j(w) = 6*w**3 - 8*w**2 + 26*w - 8. What is -8*i(x) - 3*j(x)?\nAnswer: -2*x**3 - 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1650, 1571, 1492, 1413, 1334?\n\"Answer: -79*q + 1729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 75 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j be 14\/(-21) + (-77)\/(-3). Suppose 5*a = -j, -3*a = 2*h + a - 12. Solve -16 - 12 = 3*s + 4*t, 2*s + 2*t = -h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 156880196?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u be 15\/(-9)*3 + 1. Let c(r) = -3*r**2 + r + 1. Let k(h) = 4*h**2 - h - 1. Give u*k(a) - 5*c(a).\nAnswer: -a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 40 + -21 + -47 - 11\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**2 + 4*o + 9. Let t be u(5). Suppose x - 2*x + 4*k = -13, 0 = -x - t*k + 45. Suppose -1 = 4*s - x. What is the remainder when 12 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1480.2 - 1480. Let y = -2.7 + 3. Let c = m - y. What is the closest to 2\/9 in c, -2\/7, -2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = -4*d, -28*k - 7 = -27*k + 4*d for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -4\/9 (c) -4 (d) -2\/23 (e) 0.008 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (-2 + sqrt(468))**2.\nAnswer: -24*sqrt(13) + 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 479 and 408587?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*2*sqrt(216)*-5)\/(-3*(sqrt(192)*1 + sqrt(192))).\nAnswer: -15*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 536 and 1012504?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 20101020112 + -2?\nAnswer: 20101020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = 664 + -661. What is the thousands digit of -1 - -1738 - s\/(-1)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 21211 + 2?\nAnswer: 21213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = y**3 - y**2 - y + 16. Let v be o(0). Solve -2*c = 2*r - r + 4, 5*c = 4*r + v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 > 64\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(1*sqrt(700) + -1))**2 - (sqrt(567) + (sqrt(567) - (0 + sqrt(567)))**2 + 2)*-6.\nAnswer: -446*sqrt(7) + 17537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 25 - 1. Suppose 13*a = 15 + 37. Suppose -36 = -a*b - 0. Calculate the remainder when m is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 2, d: 8}. Give prob of sequence ddg.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = 4*x - 56, -2*x + 2*l + 0*l + 30 = 0. Which is the second biggest value? (a) x (b) -5 (c) -16\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 26 + -27. Let c = -1635 - -1643. Sort -2, k, -4, c.\nAnswer: -4, -2, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 133\/16848 and -155\/18954.\nAnswer: 151632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1.2024 - 1.2. What is q rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6\/13 + -5\/39. Which is the second smallest value? (a) -30 (b) -5 (c) j (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 14 + 2 = 0. Suppose -68 = -l*w - w. Suppose -t + 3*t - v - w = 0, 0 = 3*t + 3*v - 39. Solve -5*y - 2*j = -j + 23, t = 5*j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -43708\/69683?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 4832019739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 17234 - 17233.99954732. What is j rounded to 5 decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (12 - 10)\/((-2 - -3)\/43)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.285 + -0.015. What is the nearest to 2\/5 in -3, j, 3\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5557 is divided by 103.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -g**2*k**3 + 27*g**2*k + 218*g*k**2 - 172347*k**3 wrt k.\nAnswer: -6*g**2 - 1034082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2010.6 - 2011. Let g = -99 + 47. What is the third smallest value in m, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1751179826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*g**3 + 6*g**3 - 7*g**3 + (0*g**2 + 2*g**2 + 0*g**2)*(-4 + 4 + 2*g))*(-56*g + 48*g + 51*g).\nAnswer: 129*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16\/(-40) + 1179\/2610)\/((-3)\/4).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 77140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-6)\/54)\/(((-665)\/(-300))\/19))\/((-6)\/9)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -2097838, -2097759, -2097680?\n\"Answer: 79*b - 2097917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 2*w**2 - 4*w + 2. Let g be x(2). Suppose 0 = -2*o - 5*l + 31, 2*o - 2 = -2*o + 2*l. Factor 4\/3*v**g + 0*v + 0 + 2\/3*v**o.\nAnswer: 2*v**2*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47*b**3 - 138*b**3 - 987*b**3 - 206*b**3.\nAnswer: -1378*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u, 1 x, and 1 v when three letters picked without replacement from {v: 2, n: 4, u: 3, c: 1, s: 3, x: 2}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 272543248 a multiple of 808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 306*d**4 + 774*d**3*h + 3*d**3 - 1845*d**2 - 2*d*h + 4*d + 4*h - 1 wrt d.\nAnswer: 7344*d + 4644*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sum -1496 and -2.3955.\nAnswer: -1498.3955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five eighths of a meter in millimeters?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -y**2 + 155*y + 115*y - 162*y.\nAnswer: -y**2 + 108*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**2 - 10*b - 8. Let d = -14 + 5. Let g be h(d). Solve -m - 2*f = -7*f - g, -4*f = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {i: 3, w: 1, z: 5, j: 2, p: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/64 of a gram in micrograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -20, -13, -3, 3 in descending order.\nAnswer: 3, -3, -13, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 16) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-nine thirds of a century in months?\nAnswer: 23600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -4*y**3 + 3*y + 5. Let g(p) = p**3 - 1. Let s(a) = -c(a) - 3*g(a). Factor s(n).\nAnswer: (n - 2)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 166\/(-664)*(-72)\/486\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**4\/(j*j**(-2\/5)\/j)*(j**2)**28 assuming j is positive.\nAnswer: j**(302\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 462, -2, -0.3, -1\/6, 502, 3.\nAnswer: -2, -0.3, -1\/6, 3, 462, 502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-10644)\/4435)\/(12\/(-225))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.1 + -3.2. Let i = -1.6 - w. What is the second biggest value in i, 2\/3, 1\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -7*g**3 + 4*g**3 - 88*g**2 - 868*g**5 + 1227*g**2 + 3*g**3 wrt g?\nAnswer: -52080*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -26*i - 1891. Let d be k(-73). What is the third smallest value in d, -0.3, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is b8 + 5?\nAnswer: c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11468 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -159 = 16*j - 15 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -27920*-2\nAnswer: 55840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-2)\/(-2))\/((-3)\/(-9)). Let p be 60\/25 - m\/(-5). Suppose -5*q = -2*h + 5, 4*q = 5*h + q - p. Which is greater: h or 10\/9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y**2 - y. Let t(x) = 5*x**2 - 13*x + 7. Let p(h) = -3*j(h) + t(h). Suppose -2*k - 18 = -5*k. Is p(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (77\/924)\/((-120)\/(-3168))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4 + -10?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 400 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve m**5\/4 - 87*m**4 + 22357*m**3\/2 - 637916*m**2 + 60930573*m\/4 - 122605819 = 0 for m.\nAnswer: 17, 28, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21312 is divided by 172?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = -33 - -50. Suppose 4*a - 31 = -5*y, 2*y - 1 = 4*a + b. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*t + 5*t - 16 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2891*q - 81600 - 261925 = 884*q for q.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18997*l**3 - 18994*l**3 + 34 + 37985*l**3.\nAnswer: -6*l**3 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 287*b**2*l**3 + 170*b**2*l**2 - 62*b*l**3 - 562 wrt l?\nAnswer: 1722*b**2 - 372*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 19*t**3 - 9*t**3 - 11*t**3 + 2*t - t**4 + 2 - 2*t**2 in the form l*t + o + c*t**2 + r*t**4 + h*t**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 2*g - 3. Let s be 20\/30 + (-7)\/(-3). Determine m(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7054201892?\nAnswer: 2, 677, 2604949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (137\/(-1233))\/((-4)\/(-6))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 70 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0 + 121\/(-99) + 2\/9. What is the closest to -2 in 0.47, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 123*g - 194*g - 387*g + 19*g.\nAnswer: -439*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -1740 * 0.2\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(l*l\/l**0)*l)**(2\/15)*(l**(-1\/12))**(-10))**35 assuming l is positive.\nAnswer: l**(175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3687 is divided by 263?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 878105.8ml to litres.\nAnswer: 878.1058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3\/8 in 2, 1928, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the third derivative of -q**6\/210 - q**5\/21 + q**4\/42 + 10*q**3\/21 - 37*q**2. Factor w(j).\nAnswer: -4*(j - 1)*(j + 1)*(j + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f - f = -4*k + 262, 0 = -5*k - 3*f + 309. Let j be k\/27*3*-1. Find the common denominator of (-2)\/j + 7319\/182 and 24\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 13002, 26855, 40698, 54525, 68330?\nAnswer: 82107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 5, i: 2, h: 4, v: 1, p: 4}. Give prob of sequence ihhd.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -15\/22 and 83\/2322?\nAnswer: 25542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b be 100*5\/15 + -2 + 1. Let d be -22*6\/4 + 1. Let z = d + b. What is the smallest value in 2, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 18\/8 - (-260)\/(-208). Which is the nearest to 0.4? (a) 0.1 (b) y (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -251043 minus 394649?\nAnswer: -645692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -40\/21 or -3?\nAnswer: -40\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 2*i - 307 = 0, -5*i + 610 = -c + 3*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in thirty-one halves of a second?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 18816947999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -p**3 - 15*p**2 - 12*p + 31. Calculate m(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5 + 7. Let d(a) = -a**3 - 2*a**2 - a. Let u be d(-2). Suppose -r*o + u + 8 = 0. Which is bigger: 4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 151, 302, 455, 610, 767?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 128089, 512188, 1152353, 2048584, 3200881, 4609244, 6273673?\nAnswer: 8194168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -11 - 12. Let g(h) = 2*h + 45. Let k be g(x). Which is the nearest to k? (a) 0 (b) 1.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1*3 - ((-72)\/1584 + 1099\/(-22)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 28a9616 (base 11) to base 8\nAnswer: 23023306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (a**3 + 0*a + 0*a)*(6 - 8 - 3*a**2 - 1) + 2*a**5 - 2*a**5 + 12*a**5.\nAnswer: 9*a**5 - 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4524\/5023 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5 - 2. Let z be (2945\/3410)\/((-1)\/(-6)*3). Is z at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the second derivative of -1\/40*x**6 + 0*x**3 + 0*x**4 + 0*x**2 + 239*x + 0 - 3\/80*x**5. Factor p(b).\nAnswer: -3*b**3*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33766741?\nAnswer: 33766741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*u + 2*u - 4*u)*(-2*u + 3*u - 3*u) + 2 - u**2 - 2 + (1 - 1 + u)*(-1 + 5 - 2)*(17014 + 177*u - 17014) to b*u**2 + d + r*u and give b.\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, w: 3, s: 2, d: 1, t: 7, o: 5}. What is prob of sequence ss?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 2*c + 40. Let l(a) = -a**2 + 13*a + 9. Let h be l(13). Let z be u(h). Suppose -z - 110 = -2*j. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*o**2 + 2914428*o + 107844788 = 0. Calculate o.\nAnswer: -37, 728681\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 44450712.\nAnswer: 2, 3, 179, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -76*l - 438 = 121*l - 44 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*n + 25*n = 75 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 43 = 9*t + u, t - u = 11. Let q be 748\/(-33) + 6\/t. Which is bigger: q or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 - (5 - (-3 + 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be 12\/15*65*-1. Let s = 23 - d. Suppose -k + s = 2*k. Calculate the remainder when k is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 53586.\nAnswer: 2, 3, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 74\/105 and (4\/(-1050))\/((-180)\/(-8325)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 37 + -21. Suppose j + 2*k + 0 = o, 4*k = 5*j - 10. Suppose d - 90 = -m, 0 = 2*m + 4*d + j - 180. Calculate the remainder when m is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2284 - 2276. Suppose -2*i = -3*f + 6, -13 = 4*f + 5*i - 44. What is the lowest common multiple of k and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 525\/(-50)*24\/(-231).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 3 + 0)*(-3*i + 3*i**2 + 3*i)*(27*i**3 + 11*i**3 + 2*i**3).\nAnswer: 240*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -13282.07638 to the nearest 10.\nAnswer: -13280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(192) + -2*sqrt(192))*5 + sqrt(192) + -1*-1*sqrt(192))\/(-2*5*sqrt(24)\/sqrt(4))*3.\nAnswer: 18*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -24*a + 76. Let l be o(3). Find the second derivative of -d**4 + 2*d**l + 5*d + 64 - 80 + 15*d**4 wrt d.\nAnswer: 192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}