diff --git "a/data/dm_maths/full_data/1818_11255.jsonl" "b/data/dm_maths/full_data/1818_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1818_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let s(q) = -5*q + 30. Determine s(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -2.1. Let o = -18 + 30. Let k be (18\/56)\/(o\/14). Which is the smallest value? (a) f (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -602215 and -602215 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -453*b + 440. What is o(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4308876 and 26571402.\nAnswer: 159428412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, k: 7, b: 5}. What is prob of picking 2 b and 1 u?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 5. Suppose -4*l - 4 = -w - 5*l, 0 = w - l. Suppose 0 = q*z + 3*i - 46, -2*z - 7*i + 30 = -w*i. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.052 + 5.948. Let b = 4 - c. Which is greater: -2\/3 or b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u**2 - 16*u - 8*u**2 + 81*u + 50*u.\nAnswer: 18*u**2 + 115*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86359157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3687\/(-20893))\/((-2)\/119).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, g: 4, e: 1, u: 2, o: 2}. Give prob of picking 1 u and 2 n.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/(3\/18) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (93\/4)\/(2 - 10 - -5). Let f = 225\/28 + p. Which is the nearest to f? (a) 0.23 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-12) + 10\/8. Let u(a) = a**3 + 4*a**2 - 4. Let c be u(-2). Sort -1, c, x in descending order.\nAnswer: c, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 78\/(-1131) - (-3308)\/29. Solve 0 = -28*c + 47*c - j for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-629 + 110 - 505 - 54)*(25 - 25 - 6*d**3) - 2*d**3 + 5*d**3 - 2*d**3.\nAnswer: 6469*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3959837 is divided by 249.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 441?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*m - 19, -2*j = -4*m + 10 + 16. What is the remainder when (-98)\/(-10) + (-3)\/(-15) is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*f + 350*f + 131*f + 124*f.\nAnswer: 832*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21110, 21162, 21214, 21266?\nAnswer: 21318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence plq when three letters picked without replacement from pxqmqqmxqlm?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + sqrt(65)\/(sqrt(10)\/(sqrt(4)\/sqrt(2))) + ((sqrt(104) + (sqrt(104) - (2*sqrt(104) - sqrt(104)))*-1 + sqrt(104))\/(sqrt(1152)*-1))**2 + 5).\nAnswer: 85\/12 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 13*a - 7. Give q(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7 (b) -4 (c) -2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6348 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75a773 (base 15) to base 7.\nAnswer: 65430504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.70005 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -12*l**2. Let o(j) = -j**2. Let d(r) = 22*o(r) - 2*x(r). Let g(y) = -y - 3*y + 3*y. Give d(g(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -35, -44, -49, -50?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2. Let a(b) = b**2 - 346. What is a(m(f))?\nAnswer: f**4 - 346","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -34*l**2 + 36*l**2 - 4*l**2. Let c(f) = 68*f. Calculate c(u(x)).\nAnswer: -136*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178111013.\nAnswer: 178111013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3836 = -616*a - 3423 - 1365 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 11) in base 9?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33710.\nAnswer: 2, 5, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2910000 to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/3))**(-3)\/(d**5*d**(-2\/9)))\/((d**0)**21*(d*d**2)\/(d*d\/(d\/(d**(-2\/17)*d)))) assuming d is positive.\nAnswer: d**(-749\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 2\/9, 1384, -267, -55?\nAnswer: -267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.11 + 19.11. What is the nearest to -0.1 in 3, 1\/3, j, 58?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -28\/5 <= 4160234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1225) + (sqrt(1225) - sqrt(1225)*4))*-6)\/((2*sqrt(605) - sqrt(605))*-5).\nAnswer: -84*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2557178 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5416?\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 6*q**2 - 8*q + 6. Let m be j(7). Let g(s) = 2*s - 4. Let f be 3*(-1 + 0)*-1. Let a be g(f). Put m, -5, a in descending order.\nAnswer: a, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 570 and 335738550.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(675) + sqrt(27).\nAnswer: -57*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 + 0.7. Let b = 3.95 - 0.15. Let u = -3.9 + b. Is u at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/65? (a) 0.1 (b) 3 (c) -0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z - 68*z**5 + 72*z**5 + 8*z wrt z.\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**(-6\/11))\/r)\/r**(-1\/6))\/((r*((r*r*r**(-21)*r*r)\/r)\/r)\/(r\/r**(-9))))**13 assuming r is positive.\nAnswer: r**(24635\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*b - 154, -10*b = -8*b + 2*g + 52. Let u(c) = -2*c - 60. Let y be u(b). Sort 42, 5, y, -1.\nAnswer: -1, y, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462403.9 days in seconds?\nAnswer: 39951696960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31988, 127935, 287854, 511751, 799632?\n\"Answer: p**3 + 31980*p**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1204 (base 10) to base 4\nAnswer: -102310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003171299 rounded to 7 dps?\nAnswer: 0.0003171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.1? (a) -2 (b) 1\/7 (c) 98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 2*k**2 + 2*k + 11. Calculate v(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 3. Let d(h) = 2*h**2 - h + 3. Let b(a) = 2*d(a) + 3*r(a). Let z be b(-2). Let l be 28\/z - 4\/(-10). Solve l + 10 = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 57*l**2 - 8*l - 8. Suppose 0 = -2838*h + 2830*h + 64. Let s(w) = 19*w**2 - 3*w - 3. Calculate h*s(i) - 3*y(i).\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -129, -406, -777, -1182, -1561, -1854, -2001?\n\"Answer: 10*k**3 - 107*k**2 - 26*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248989 and 349141.\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2284*d + 1321*d = -732*d - 403341 for d.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 3*q**2 + 5*q - 2. Let n be s(-6). Suppose 5*z - 4*r + n = 0, r = -z + 3*r - 20. Is (-4)\/z - 71\/(-3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(192) - (sqrt(192) - (1 + sqrt(192)))) + (-1 + sqrt(192))*-2 + -1 + -5 + 0 + -1 + -5)**2*-2.\nAnswer: -3698 - 1056*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 5*z**2 + 2 + (-4 - 72*z + 13 + 70*z)*(-2 + 2 + z) + 2 - 2 - 2*z**2.\nAnswer: -9*z**2 + 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-14)\/10)\/((-102)\/((-35496)\/(-29)))?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + 72 + (-403942)\/3157.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 2*d**2 + d - 27. Let j be p(0). Let z = 28 + j. Solve -h = 2*b - 13 + z, 0 = -5*h + 3*b + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -2 (c) 5 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 2*d**3\/3 - 5*d - 20. Suppose 0 = -0*l - l + 2. Let x(z) = l*z + 0*z + 0*z. Give t(x(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 558*i + 4272.\nAnswer: 3*(i + 8)*(i + 178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 16*n + 8. Let t be q(-16). Let j be 694\/t + (-5)\/(-7 - 13). Find the common denominator of -109\/10 and ((-35)\/(-15))\/7*j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1560 + -1231. What is the greatest common divisor of x and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n**2 - 26*n**2 + 28*n**2.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3542637617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240)\/(-72) - (4 - 0)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4387559 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = -0. Suppose -2*d - h*i + 2247 = 0, 1120 = d - 0*i - 2*i. Suppose -4*b + 690 = -4*n - d, -b - 3*n = -437. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 13*k**3 - 3 + 1 + 1 as s + p*k**3 + r*k + i*k**2 and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 + 8*h - 5. Let c be m(-6). Suppose 0 = b - 0*q + q - 19, c = 3*b + 4*q. Let o = 35 - b. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4229435 is divided by 630?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-45 - (-59 + 24))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 8*w + 8. Let x = -33 - -23. Let a be i(x). Let s = a - -21. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 3*q + 41. Determine x(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times -0.35121?\nAnswer: -7.0242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*q + h, 5*q - 4*h - 18 = -0*q. Let x be 1\/(-3)*(-19 + -2 + q). Let o be 2*2*(x\/(-10) - -4). Solve -o = -5*k - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 120 and -4?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3851417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6853, 50518, 169055, 399904, 780505, 1348298, 2140723, 3195220?\n\"Answer: 6240*p**3 - 4*p**2 - 3*p + 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101 - 10101111110111110?\nAnswer: -10110000000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04361 - 6.20171. Let k = s - -6.15. What is k rounded to four decimal places?\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207332431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3034417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2722 and -17.\nAnswer: 46274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 70007100?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/(114\/40)*149700. Round j to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 - 15*z**2 + 7*z - 12. Let c(m) = m**2 - 15*m - 70. Let g be c(19). Let u be w(g). Is -78 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**3 + 7*i + 24 - i**3 - 5*i + (5*i**2 - 2*i**3 - 5*i**2)*(6 - 3 - 1) in the form r*i + l + k*i**2 + u*i**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -2221*l + 2226*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 500937.9l?\nAnswer: 500937900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddhddddhdh. What is prob of picking 2 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.397 - 1024.11102?\nAnswer: -1007.71402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 8*m**2 - 8*m + 2. Give l(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, j: 4, i: 2, b: 3, c: 3, w: 1}. Give prob of picking 2 k.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 + -13. Let u be (-4 - 176)\/(-1) + -4. Suppose u = 5*i - 164. Calculate the greatest common divisor of i and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 10:38 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -21216 divided by 4\nAnswer: -5304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85\/78 - -12\/13. Suppose 0 = -19*y + 16 + 22. What is the smallest value in -3, y, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 68721427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15126184 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: What comes next: 7, 42, 85, 142, 219, 322?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, a: 2, o: 1, t: 2}. Give prob of picking 2 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 995860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -119430 to the nearest 1000.\nAnswer: -119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3835a0 (base 12) to base 7\nAnswer: -10543401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 2:49 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (89 - 1) + -156 + -194 + 366?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -23. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113178.68 rounded to the nearest 1000?\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(-12 - -2 - (1 - -7 - 17)). Solve 44*d + 120 + 188 = g for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -50504?\nAnswer: -50510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1408.98 rounded to the nearest 10?\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y. Suppose d - 8 = -3*d. Let s(b) = -b - 7*b - d*b - b. Determine s(w(r)).\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 408*(-104)\/468*(-1)\/2*(-12)\/(-16)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14129.2 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 7*f + 6. Let b = -8 - -15. Let h be k(b). What is the second derivative of 5*t**4 - 2 + 2 - h*t wrt t?\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*a = -3*a + 25, -10 = -4*j + 2*a. Suppose j*t = -t + 6. Solve -4*r - 9 = -t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -690 in 11, -1\/2, 19, 3\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 41671.09 kilometers?\nAnswer: 41671090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3 - 109558580*s**2 + 219117154*s - 109558576 = 0.\nAnswer: 1, 54779288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 0, 3.5 in ascending order.\nAnswer: 0, 1, 3.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(108)*2 + 0) - -2*(5*sqrt(108)*1 - sqrt(108)) - (5 + -3*sqrt(108) - ((sqrt(108) - (sqrt(108) + 2)*-5) + sqrt(108)))*-4)**2.\nAnswer: 5280*sqrt(3) + 52672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2 + 2079*w + 41980 = 0. What is w?\nAnswer: -20, 2099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3279 at least 3277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Let r(v) = 2*v + 2*v**2 + 0 - 2 + f - 2. Let m(p) be the second derivative of p**4\/2 + p**3 - 3*p**2 - 1483*p. What is 3*m(g) - 8*r(g)?\nAnswer: 2*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 5*k = 10 + 5, 0 = -7*i + k - 24 - 12 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -39, 4, 2, 786?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 2*2*sqrt(77))*-1*-3)\/(-5*sqrt(1584)*-2*4).\nAnswer: sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*u**3*v - 663*u**3 + 12*u**2*v + 83*u*v + 87959*u - 104*v wrt v.\nAnswer: -7*u**3 + 12*u**2 + 83*u - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1 - 50*r + 2 as j + a*r and give a.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m**2 - 7*m + 14. Let w(b) = -7*b**2 - 9*b + 10. What is 3*k(v) - 4*w(v)?\nAnswer: 10*v**2 + 15*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-45)*1254\/56 + 1. Let u(z) be the third derivative of -n*z**5 - z**2 + 0*z**4 + 0 + 0*z + 0*z**3. Factor u(k).\nAnswer: -2*k**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 44\/5 of a millimeter?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -290, -634, -978, -1322, -1666?\n\"Answer: -344*c + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, 0.89, 2\/21, -14?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**3 - 858*w**4 - 24*w**2 + 4*w**3 + 26*w**2 + 5*w - 5*w - 4*w**4 + (0*w**4 + 0*w**4 + w**4)*(2 - 4 + 3) + 2*w**4 + 2*w**4 - 6*w**4.\nAnswer: -863*w**4 - w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -59\/2*c**2 - 2 + 0*c**3 + 35\/6*c**4 - 5*c. Find the first derivative of y(k) wrt k.\nAnswer: 140*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -129964284\nAnswer: 1559571408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pey when three letters picked without replacement from {y: 2, x: 4, q: 3, e: 3, p: 1, l: 6}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 10:38 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00032427235 rounded to 7 decimal places?\nAnswer: -0.0003243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*j = -44, -4*x - 2*j - 40 = 3*j. Let r be (4\/6)\/(2\/(-60)). Let f = x - r. Solve -f*l = -10, -7*l - 2 = -4*c - 6*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 36*o - 31. What is the units digit of z(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 687\/4, -3\/7, -2\/49 in decreasing order.\nAnswer: 687\/4, -2\/49, -2\/5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*a - 70*a = 64 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (2 - (0 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.694707 + -0.89.\nAnswer: -20.584707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - r + 5*r)*(-r**2 + 0*r**2 + 0*r**2) - 2*r**3 - 4*r**3 + 4*r**3 + 0*r**3 - 4*r**3 + 3*r**3 + (-r + r + 4*r**2)*(3*r - 6*r + 2*r) + r - r + r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.46 - -2.06. What is the biggest value in -5\/3, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29505 and -16.6?\nAnswer: 489783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2523000 rounded to the nearest 10000?\nAnswer: 2520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.34942ug in kilograms?\nAnswer: 0.00000001734942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -0.11?\nAnswer: -1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*p - 7513 = -6344 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -331\/4 or -83?\nAnswer: -331\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 6 + 14 - 6 + 0*f**2 as y*f + c + q*f**2 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 36. Suppose 2*t + 4 = 12. Calculate the least common multiple of d and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 24.8151384 milliseconds?\nAnswer: 0.00000028721225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * -46.\nAnswer: 50.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 24*w**3 + 24*w**3 - 44*w**3 - 33*w. Let o(u) = 2*u. Give o(g(j)).\nAnswer: 48*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 5*j - 2. Let p be b(-1). Suppose p*s = -20, -2*s - 380 = -4*d + 630. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 5*x + 5*x)*(-x - 5*x**2 - 9*x**2 - 5 + 13*x**2).\nAnswer: x**4 + x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Suppose f*t + 4*t - 44 = 0. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10 + 4 = -p, -3*p = -3*u + 6. Let y(k) = 1 + 5 - 2*k - 6 + p. Let h(q) = -6*q + 3. What is 4*h(l) - 11*y(l)?\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r = 4 - 256 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 263.2 (b) 0 (c) 0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2. Let q(g) = -19553*g**2. What is l(q(d))?\nAnswer: -764639618*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2\/3, -9\/4, -1\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 5:04 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102*k**3*u**3 + 27*k**3*u**2 + 2*k**3 + 20*k**2*u**2 + 97366*k*u**3 + 3*k*u**2 - 2*u**2 - 191*u wrt u.\nAnswer: -612*k**3 + 584196*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 519?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1384*i - 2778. Give g(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5917 - 2*j + 254*j**2 - 5917)*(j + j + 0*j).\nAnswer: 508*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 650789398 to the nearest integer?\nAnswer: 25511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0\/v*v*v**(-1))**(3\/14))**(-1\/5))**(-2\/31) assuming v is positive.\nAnswer: v**(-3\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5.6, -1\/4, -4\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 438545500?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*b + 23, q + 2*b - 3 - 4 = 0. Put 4, 7, q in increasing order.\nAnswer: q, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22314*l - 22351*l - 962 = 0 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7240691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 4. Let g(u) = 0*u + 3 - 3*u + 5*u. Suppose 0 = -8*w + 30 + 18. Calculate w*g(i) + 5*j(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -25. Let m be (7\/((-35)\/110))\/(2\/d). Calculate the greatest common factor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4225*h**4 + 3032 wrt h?\nAnswer: 16900*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 5*x**2 - 3*x + 6. Let o be q(4). Calculate the highest common factor of o and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -38. Let q = -15 + 14.7. Which is the closest to 0.1? (a) -0.1 (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 13*k**4\/4 - 3*k**2\/2 + k - 4. Let h be t(2). Suppose q - 33 = -v, 2*v - h = -3*q + 1. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (32 - 26 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 141.1 - 222.1. What is the third smallest value in 1, l, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -3\/4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 - -101111?\nAnswer: 1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 21 - 21 - (-1 - 22).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*((sqrt(700) + -2)*5 + 3*(sqrt(700) + 0)))**2.\nAnswer: -14400*sqrt(7) + 404101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15265*-75.\nAnswer: -1144875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2*w - 3*w + 1201, -3*w = -2*h + 1181. Suppose -4*d = 178 - h. What is the highest common factor of 63 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 16 = 2*p. Suppose -p*m + 7*m - 20 = 0. Suppose 12 = 7*k - m*k. Solve 9 = -k*n - 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**3 - 5*t**4 - 2 + 3*t - 6*t**3 + t**3 in the form l + r*t + o*t**4 + d*t**2 + c*t**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42350 is divided by 132.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 3 = -12*s. Let y(z) = -16*z. Let x(h) = h. What is s*y(p) - 12*x(p)?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -5*l + 20, -l = 5*d + 30 - 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4*s - 24940 - 13668, 128785 = 10*o - 5*s. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**4\/8 + 3*p**2. Let f = 5 + -5. Let n(g) = -6 + f*g**2 + g**2 + 6. What is n(v(s))?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbr when three letters picked without replacement from {r: 5, b: 14}?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**5\/20 + k**4\/24 - 4*k**3\/3 - 19*k**2. Is 12 a factor of x(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 56*o**2 - 16*o - 224.\nAnswer: 4*(o - 2)*(o + 2)*(o + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q**(-2))))\/q**8)\/(q**(2\/7))**(-1\/6) assuming q is positive.\nAnswer: q**(-188\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58312958 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) - (sqrt(78) + sqrt(78)*-2) - sqrt(78))*5 + sqrt(78))*-4)\/(sqrt(18)\/(2*sqrt(3)) - sqrt(66)\/(sqrt(11)*-2 - sqrt(11))).\nAnswer: -144*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(17*b - 1833299 + 1833510 + 9*b).\nAnswer: 26*b + 211","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 32976803*a**2. Let v(o) = 8*o**2. What is v(r(j))?\nAnswer: 8699756288806472*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*v - 7, -a = 2*v - 3 - 2. Suppose v*j = -j. Suppose -5*h + 17 - 2 = j. Let u(q) = 4*q. Give u(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 14*m**2 - 17*m. Suppose 89*d + 87 = 5*c + 93*d, -2*d - 54 = -4*c. Calculate z(c).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t - 3. Let f be h(-7). Let l = 23 - f. Solve 0*g = l*g + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 662915*m - 5329587*m - 7585823*m.\nAnswer: -12252495*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (-1 + (35 - 8) + -13)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(2 - 4 + 5)*(-16*b**2 + 218*b - 180*b + 2*b**2).\nAnswer: -42*b**2 + 114*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4640 and 174232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -158*f + 124895101 - 1196482701. Round f to the nearest ten thousand.\nAnswer: -6780000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -26 - -15 - (2 + 0). Let f be k + 31 + 4*1. Suppose 0*i + 3*i + 4*j + f = 0, 0 = -4*i + 5*j - 19. Is i at most as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 546?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15500.3 * 99\nAnswer: 1534529.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/120*(-5)\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 70*m**2 - 3539*m - 261. Calculate z(-104).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*-2*5\/(-35)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/(-15))\/(-1))\/((-7)\/7)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12943300.\nAnswer: 2, 5, 71, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3675 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 4.884.\nAnswer: 24.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -8. Let o = -1 + t. Find the second derivative of o*q**3 + q + 0*q + 0*q wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 1888*y**2 - 5*y - 21. Let s(p) = -3776*p**2 + 10*p + 43. Let j(w) = 4*s(w) + 7*t(w). Let l be j(-5). What is l rounded to the nearest 1000?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 10 - 3*k - k + 6*k - k + 10*k**2 + k**3. Let x be b(-10). Let h = 188 - 183. Solve x = -z + h - 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13281 by -15.\nAnswer: 4427\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09 or 0?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42733*c**3 + 85196*c**3 - 42495*c**3.\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*w - 19 = 2*y, -4*y - 3*w = -29. Let g = y + 4. What is the remainder when 17 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.019 + 14.\nAnswer: 13.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 128\/(-20) - -4 - -3. What is the nearest to 0 in -0.2, p, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.45 and -14.3?\nAnswer: 6.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*d - 2*s - s, -3*d + s + 76 = 0. Find the second derivative of -10*v**2 + d*v - 2*v**2 + 3*v**2 wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14954 is divided by 1661?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 906 = -2*u - 3*u, 5*o = -u + 165. Suppose 1081 - 401 = 4*a - 2*v, -3*v - u = -a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 105\/10*4\/(-3) - 0. Let u = h + 18. What is the greatest common factor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -47*q - 27. Let s(p) = -23*p. Give s(b(a)).\nAnswer: 1081*a + 621","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 2*w**6\/3 - 200*w**5 - 1010*w**4 - 6080*w**3\/3 - 2030*w**2 - 1016*w - 1549. Factor b(q).\nAnswer: 4*(q - 254)*(q + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9\/5, -0.041 in decreasing order.\nAnswer: 4, -0.041, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 191314250*f*r + 85190834*r wrt f.\nAnswer: 191314250*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 932*g**2*y**3 + 35*g**2 - 10*y**2 wrt y?\nAnswer: 5592*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 1, -5, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 29. Let h(c) = -c**2 - 3*c - 2. Let w be h(o). Let x = 64 + w. Calculate the smallest common multiple of 8 and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2391388 and 177.\nAnswer: 7174164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 1, 3, -52 in decreasing order.\nAnswer: 3, 1, -1, -2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -14. Let c(d) = -d**3 - d**2 - d + 2. Let u be c(h). Suppose 0 = -5*a + 4*m + 65, -10 - u = -a + m. What is the remainder when 66 is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 3*x**2 + 1\/18*x**3 - 7\/144*x**4 + 0 + 1\/90*x**5 + 1\/180*x**6 + 10*x. Let f(m) be the first derivative of s(m). Factor f(z).\nAnswer: (z + 2)*(2*z - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x = -2*o + 16, -x - o + 6 = 0. Suppose -x*p - 50 = -2*n, -2*p = -5*p. What is the remainder when (4 - 3) + 1 + 96 is divided by n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -89\/1276 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6240)\/1664)\/(10\/(-8) - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 11:47 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 4*q + 8, 0 = -p + 5*q + 15 + 14. Let a = 29379.7 + -29380. What is the nearest to 0.2 in 1, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*r - 15, 3*x + 9 = 2*r + r. Suppose -3*v - 170 - 55 = x. Let a = v + 153\/2. What is the second biggest value in 3, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.0199 + 0.0199. Which is the closest to 0.6? (a) 5 (b) m (c) 0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2008253 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 258 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 - 3*r**2.\nAnswer: r**2*(r - 3)*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37.072 - 0.072. Let w = 36.8 - s. Let q = 0.2 + -0.2. Which is the closest to q? (a) -2\/15 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25094, -25098, -25102, -25106?\nAnswer: -25110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11601.7 - 11579.9973. Let t = c - 0.0027. Round t to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 15.5. What is the smallest value in 3, 11, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*m - 22, 0 = -m - 2*s + 9 - 3. Let v be (m\/42)\/(1\/93). What is the greatest common factor of 310 and v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + (-3 - -3) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5605939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 23*q**2 - 8*q + 0 + 19*q**2 = 0 for q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 27. Suppose p - f = -16. Which is smaller: -4 or p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywyyyyjjyjqykyyqyy. What is prob of sequence kjw?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 2\/3 (c) 2229\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74980 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3040 = 4*a + 3*j, 0 = 2*a - 0*a - 2*j - 1520. Let k be (-3)\/(-2) + a\/(-16). What is the units digit of (k\/(-6))\/(-1)*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 5\/2*y**2 + 1\/2*y**3 + 2*y.\nAnswer: y*(y + 1)*(y + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 66*f - 188126 + 4756142 = 0. What is the thousands digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141 - 315 - 121 - 86)*(0*n + n + n).\nAnswer: -1326*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 4*b = 1674. Let g = b + 877. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -469784 or -9.6?\nAnswer: -469784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/(112\/21))\/((-9)\/(-292278)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -27. Let g = 52 - w. Suppose k = -4*k + 220. Calculate the remainder when k is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - v**2 + v - 1. Let h(p) = -90*p**3 + 108*p**2 - 108*p + 108. Calculate h(s) + 108*m(s).\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 636 - -1882. Let z = -281 + q. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, h: 3, q: 1}. Give prob of sequence qhh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 3513.\nAnswer: -4\/3513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y**3 - 7*y**4 + 9*y**4 - 2*y**3.\nAnswer: 2*y**3*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*j = -54*j - 252. Suppose h = 5*h - 176. What is the least common multiple of j and h?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (-88)\/11220*-2675.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 3 (b) -0.37 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 9*j - 62. What is the units digit of h(31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2)*1 + 1924\/(-296). Let o(f) = 12*f + 86. Let g be o(y). Solve -2*m - u - 28 = -6*u, g*m = -2*u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, 5, -5, 356 in descending order.\nAnswer: 356, 5, 3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**4\/4 - 5*q**3\/3 - 3*q**2 + q + 2. Let x be b(6). Let z be 3 - -2 - 0\/x. Calculate the highest common divisor of z and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m + 4. Let r(v) = -2*v - 3. Let g(n) = 4*r(n) + 3*z(n). Let x(d) be the third derivative of d**5\/10 + 514*d**2 - 5. What is g(x(k))?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 6*x - 54. Suppose -5*g = -x - 22. Suppose g*y - 1580 = 3*y - n, 312 = y + n. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 - 65. What is the units digit of 3*q*(-12 + 15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 4:40 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1362522040?\nAnswer: 2, 5, 11, 37, 127, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 i, and 1 s when three letters picked without replacement from {i: 3, s: 3, o: 1, m: 1, g: 1, k: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -242?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 1 + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 214*k**2. Let q(m) be the third derivative of -m**5\/20 + 11*m**2 - 5. What is q(c(x))?\nAnswer: -137388*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17040783 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Let y(r) = -3*r - 2. Let o(t) be the first derivative of 3*t**2 + 4*t - 139. What is n*o(d) + 5*y(d)?\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 186.8 + -188.794. Let z = x + 2. Let f = z - 0.063. Round f to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 7*o**2 + 3*o - 13. Calculate w(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4487, -4475, -4463, -4451?\n\"Answer: 12*c - 4499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 4*n**2 + 4*n + 6. Determine b(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, p: 1, d: 2, u: 2, n: 1}. Give prob of picking 1 n and 1 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7 + -0.7. Which is the second smallest value? (a) -1 (b) 2\/9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 19 = 17. Suppose a = -g*a + 60. Solve 6*p + a = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 40*u - 19 = 41*u, 3*b = -4*u - 31 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*b - 1624 = 0, -3*b - 939 = -5*f + 1091. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 7:27 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/5 (b) 106\/133 (c) -2\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.14 - 11. Which is smaller: a or -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.43 + 0.4. Let o = -1.091 - -0.608. Let i = o - -0.083. Which is the second biggest value? (a) i (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2\/7 + 39510*u\/7 + 130086675\/7 = 0. Calculate u.\nAnswer: -6585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4153044 divided by 6?\nAnswer: 692174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40806 and 576.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/15)\/((-16)\/36)*2. Solve 3*s = y*i - 3, -20 = -183*i + 188*i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 41 + 9. Let m = 6 + y. Suppose 2*k = -3*a + m, -4*a + 9*a - 5*k + 15 = 0. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**8\/2520 + 2*v**7\/525 + 7*v**6\/450 + 8*v**5\/225 + v**4\/20 + 2*v**3\/45 + 30*v**2 + 5. Find b, given that g(b) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -4*p - 40. Suppose v = -v, -28 = -y + p*v. Calculate the common denominator of 79\/24 and (-1 - (-211)\/y) + 24\/(-6).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 - 2*l. Let j(w) = w**3 - w - 1. Determine -2*j(u) + q(u).\nAnswer: -4*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*j = 35*j + 800. Is ((-20175)\/j)\/((-3)\/44) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 845*u = 592*u + 4554 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*y + 71*y - 42900. Calculate the greatest common factor of 65 and y.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) 0.11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 2) + 1 + 60\/5. Solve -5*n - p - a = 0, -3*n + 3*p = 2*p + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.36 + -25.36. Put 4, o, -42\/11, 3 in decreasing order.\nAnswer: 4, 3, o, -42\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 4)*(7*k**4 - 8 - 12 + 2*k**4) in the form n*k**3 + q*k**2 + t*k**4 + m*k + i and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*4*sqrt(231))\/sqrt(11))\/(-1*sqrt(175)*2).\nAnswer: 8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187 and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - f**2 - f - 1. Let i(a) = -2*a**3 + 3*a**2 + 4*a + 2. Suppose -3*p + 32 = 29. Calculate p*i(u) + 4*c(u).\nAnswer: 2*u**3 - u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.97 - 0.93. Is i greater than or equal to -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and -1117.5896.\nAnswer: -22351.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000359 rounded to 7 decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3733*z**2 + 7544*z**2 - 2968*z**2.\nAnswer: 843*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and ((-48)\/14)\/((-54)\/189).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 10*i - 6. What is c(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0299 + -0.5299. Which is the nearest to 0? (a) -3 (b) -1 (c) m (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 617*x - 2487. Let o be g(4). Solve 4*r + u = 14 - o, -2*r = -4*u + 22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 x, and 1 n when four letters picked without replacement from {r: 2, n: 1, x: 2, h: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 6. Let f(w) = 399*w + 162. What is -54*a(y) + 2*f(y)?\nAnswer: 852*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 - -93. Let m be (z\/(-4))\/((-51)\/(-170)). Suppose m*o + b - 579 = 0, -2*b + 211 = 2*o - 19. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 13*r + 57. Let d be i(-6). Is 180\/7*d\/((-60)\/(-56)) a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 25794073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 9. Let l be h(-9). Let p = l - -1. Solve 0 = -0*s + s - p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Suppose b - y = -12. What is the units digit of (-75)\/b - 2\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 8*k**2 - 2*k - 219. Determine q(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 666 and 20635122.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -1\/15, 4\/3 in descending order.\nAnswer: 4\/3, -1\/15, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -25. Suppose -q = 7*m - 12*m. Let w = 0 + 0. Is w smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231, 437, 641, 843, 1043, 1241?\nAnswer: 1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -234*a**3*c**2*n + 2*a**3*c**2 - 428*a**2*c**2*n - 1269*a**2*c**2 - 3*a*c**2 wrt n?\nAnswer: -234*a**3*c**2 - 428*a**2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 2. Let m be t(2). Let g be 2\/m + 2 + 2. Solve 0 = -3*k - 2*k - g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3. Let m(y) = -2*y - 16. Give -6*m(k) + 33*p(k).\nAnswer: 12*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (3853395\/(-14))\/(-9) + 9\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99496368.\nAnswer: 2, 3, 47, 61, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19967 + 52458. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 2*f**2 - 4\/105*f**7 + 1\/3*f**3 + 7\/24*f**4 + 0 - 1\/112*f**8 + 0*f + 1\/10*f**5 - 1\/30*f**6. Factor t(m).\nAnswer: -(m - 1)*(m + 1)**3*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 392464514?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-63)*9)\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0, 0.523, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 4*y**2 - y + 4. Let g be f(-3). Let c be 6\/(-10) - -6*1\/30. What is the nearest to c in g, 3\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130 - 113. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 4*y**2 - 6*y - 1. Determine q(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*g = -172. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4867941\/46 or 105826?\nAnswer: 4867941\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1348 and 14876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 = 3*q + 20, 4*q = -4*l - 20. Let o be q\/5 - (-1 + 2 + -3). Which is the fourth smallest value? (a) 0.4 (b) o (c) 2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01 + 0.04. Let t = 555 - 551. Which is bigger: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5471 (base 11) to base 8\nAnswer: 16061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12465 (base 8) in base 7?\nAnswer: -21554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/364815746 and -49\/31399.\nAnswer: 6201867682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -1)*(11 + (-10 - 6\/(-6))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (5 - (1 + (-1 - -3)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8207 * -0.5.\nAnswer: -0.41035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 497836198 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 111854 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.01, -4.\nAnswer: -4, -0.2, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 divided by 3?\nAnswer: 320\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 4667 - 14056 + 4719 + 4670.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -2) + (2 - 6) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - ((-16)\/14 + (-718359)\/161). Calculate the highest common divisor of q and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 155830 and 109081.\nAnswer: 1090810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = g - 31, -g + 5*j = 4*g - 145. What is the highest common divisor of 12 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -1, -2\/927, 0.2, 2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1998 - -2002. Solve -7*y - r = -6*y + z, 3*z = -2*y - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -1.232123523.\nAnswer: -5.232123523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 153517, 613949, 1381337, 2455681, 3836981, 5525237?\n\"Answer: 153478*j**2 - 2*j + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 6:29 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 199 - 198.9. Which is the second biggest value? (a) r (b) 4 (c) -36\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -939\/4 bigger than -236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 403138*s**2 - 297820 wrt s.\nAnswer: 806276*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/102393 and 57\/109733?\nAnswer: 30615507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 1)*(1 - 3 + 1)*(r - 1 + 1) as g + l*r and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 9 - 27. Solve -q = q - 3*s + 13, s - t = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 230\/7 or 22755?\nAnswer: 22755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 40 = -5*c. Let t(i) be the third derivative of -i**4\/24 - 5*i**3\/6 - 4*i**2. Is t(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -4*d**5\/35 + 47*d**4\/42 - 128*d**3\/63 - 4*d**2\/7 - 681. Let u(p) = 0. What is p?\nAnswer: -1\/6, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 16 + 117 = 2*u, 0 = 3*p - 3. Let h = 18 + -21. Is u\/3 + h\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + 3 + -3 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 694 minutes after 9:44 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 8482878\nAnswer: -1\/4241439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -6*f + 65, f + 941 - 946 = -5*z for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10785606 and 636?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g**3*i**2 + 18*g**3*p**2 + g*i**2*p + g*i*p + 4*i**2*p**2 wrt p?\nAnswer: 36*g**3 + 8*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Let b(v) = -4*v + 3 - 1 + 0*v**f + 3*v**2. Is b(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11110100110010000000 (base 2) to base 15\nAnswer: 14c119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1607469 and 1677?\nAnswer: 20897097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*o + 681*o**2 + 424*o + 6*o**3 - 5*o**3 - 102*o**2 + 141*o**2.\nAnswer: o**3 + 720*o**2 + 285*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135 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: Let r(x) = -x + 16. Let f be r(8). Let n be f\/(-78)*(45\/(-6))\/5. Is n < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*v - 35. Let h(a) = 2*a**2 - 13*a + 5. Let n be h(v). Round n to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.159 - 536262?\nAnswer: -536253.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 280*t**2 + 280*t**2 + 11*t**3)*(-79*t - 62*t + 116*t) + 2*t**4 + 0*t**4 + 0*t**4 to the form i + f*t + c*t**2 + p*t**4 + v*t**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 530.\nAnswer: -23\/530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28259?\nAnswer: 7, 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.8896 - -17\nAnswer: 16.1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81193 is divided by 16237.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/18)\/(k**(-14)*k)*k**(16\/9)*k*k*k\/(k**24\/k) assuming k is positive.\nAnswer: k**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1637496610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-114)\/(-8) - (-6)\/8. Suppose -5*q + 2*i = -i - 15, 4*i - l = -5*q. Suppose -q*t - 4*c = -25 - 9, -5*t + 66 = 2*c. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 7112*r + 3161284.\nAnswer: 4*(r - 889)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -67085, -67927, -68769, -69611, -70453, -71295?\n\"Answer: -842*w - 66243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 + -14 + 25\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) -17\/5 (c) 5 (d) 2 (e) 573 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*k + 400*k = 450*k - 149*k - 27060 for k.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-31 - -17 - -19 - 12).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2764316788 + 4?\nAnswer: 2764316803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**5*c)\/c*c\/(c*(c*c\/c**(-3\/5)*c)\/c*c)*c*c)**(1\/12) assuming c is positive.\nAnswer: c**(11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Suppose -v*b + 0*s + 3*s = -30, -10 = 5*s. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 9:18 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (0 - -3) + (5 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i**2 - i - 21. Let d(k) = 9*k**2 - 18. What is -7*d(f) + 6*x(f)?\nAnswer: -15*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2704 = -5*m + m - j, 4*m - 2704 = -3*j. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y - 23. Let a be x(-9). Let t be (-4 + 2 - a)*(-4)\/(-8). Let r(w) = -1264*w - 5. Is r(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -3\/13617794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -13. Let d(r) = 2*r**2 - 7 + 5 - 2 + 0. Let f be d(-2). Solve -f*m = 4 - p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1. Let y(d) = 8 - 13*d**2 + 3*d**2 - c - d**3. What is the units digit of y(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1735 - -1739. Solve -m*g + 5*d + 1 = 2*d, -5*g - 5 = -5*d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 80 = -10*u + 2*z, -2*u - 5*z + 32 = 0. Let g(r) = -4*r + 64. Let a be g(8). What is the highest common divisor of u and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -101, -156, -223, -308, -417, -556, -731, -948?\n\"Answer: -p**3 - 48*p - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 63331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -144, -4.\nAnswer: -144, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 315*g**2 - 19452*g + 19136.\nAnswer: (g - 52)*(g - 1)*(g + 368)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14648.\nAnswer: 2, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(105))\/(sqrt(175)*1))\/(sqrt(2205)*-1*1).\nAnswer: -4*sqrt(3)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -201, -458, -819, -1284?\nAnswer: -1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*y + 2. Suppose -y*k + 149 = 26. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 60547482?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 0 - (24 - 25)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2432102, -2432090, -2432078, -2432066, -2432054?\n\"Answer: 12*n - 2432114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 3, 4, -0.8, -0.4, 0.154 in decreasing order.\nAnswer: 4, 3, 0.154, -0.06, -0.4, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 925 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: Which is the second biggest value? (a) -2 (b) -0.4 (c) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/4550 and -89\/1365.\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/487?\nAnswer: -2\/487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/6 and 103\/56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3189 + 4?\nAnswer: -3185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 28.41. Round f to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2550 and 7\/102.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2, z + 23 = 2*d + 8. Calculate the remainder when 51 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r + 42. Suppose 0 = -5*d - 2*o + 44, d + 2*o - 1 - 3 = 0. What is the remainder when p(d) is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3012, -2796, -2580, -2364, -2148, -1932?\n\"Answer: 216*m - 3228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3946259?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = 2*n, r - 4*n + 9 = 35. What is the highest common factor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2174.425 millilitres to litres.\nAnswer: 2.174425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/2145, -0.5, 3\/5, -0.12.\nAnswer: -0.5, -0.12, 2\/2145, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -731, -3, -282, 0, 2, 8 in decreasing order.\nAnswer: 8, 2, 0, -3, -282, -731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -417*x**6 - 3*x**2 - 46*x wrt x.\nAnswer: -50040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3345530 equal to 3345527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 4060 + 3620. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 3*n + 9. Suppose -43*h + 174 = -14*h. Calculate w(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -784.0065852 + -6\nAnswer: -790.0065852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22854*f - 11442*f - 11439*f.\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.272 and 4.\nAnswer: 2.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/16? (a) -3 (b) -0.0019 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 4:41 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -320*u - 3848. Let q be v(-12). Let z(c) = c**2 + 10*c + 16. Give z(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.19 + 0.189988. Round i to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 44 = -2*q, 0 = 4*o - 2*q - 2*q - 32. Let s(x) = -2*x**2 + 30*x - 26. What is the remainder when 136 is divided by s(o)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a**3 - 22*a**3 - 9 + 12*a**3 - 41.\nAnswer: 4*a**3 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 354233330 and 220?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.97 - -0.03. Let f = 429 + -859\/2. Let i = -17 - -16. Which is the nearest to i? (a) f (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 1:06 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwuuohyeeowu. Give prob of picking 1 e and 1 h.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.62 to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 - -64. Let i(u) = -u. What is i(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, i: 4, p: 1, k: 8, g: 1}. Give prob of picking 3 i.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -629, -2532, -5703, -10142?\nAnswer: -15849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29607840 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by 30.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4151000 rounded to the nearest 100000?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (2 + (13 - 6 - 2) - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sttsstsstttsst. What is prob of picking 4 t?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1221644 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36428, 72870, 109308, 145742, 182172?\nAnswer: 218598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 581 = 2*i - 0*i - 589, -2*i + 5*y = -8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 12*v - 5. Let r be q(5). Let g be ((-105)\/294)\/(r\/12). Which is the fourth biggest value? (a) -4\/3 (b) -1\/6 (c) -1\/5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 629?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*g**2 + 163748*g*y**3 + 9*y**3 + 77810*y wrt g?\nAnswer: 16*g + 163748*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -223644400?\nAnswer: -223644374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/54, -3\/8, 4, -0.3 in ascending order.\nAnswer: -3\/8, -0.3, 0, 1\/54, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t. Let v(z) = 2*z**2 + 175*z + 2118. Let u be v(-73). Let y(c) be the third derivative of 1\/12*c**4 + 0*c + 0*c**3 + 16*c**2 - u. Give y(r(s)).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7461 to two dps.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*d + 890*d - 474*d in the form t + z*d and give z.\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cb (base 15) to base 6.\nAnswer: -515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*x - 36, f - x - 1 - 11 = 0. Let p = 10 - f. Suppose 3*q = -p*q + 150. Calculate the highest common divisor of q and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 485, 486, 487, 488, 489?\n\"Answer: m + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -400 or -0.0249035?\nAnswer: -400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 + 57. Let u = 9 + -6. Let y be (16 + q)*u + -4. What is the highest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 4*s**2 - 7*s - 1. Suppose -86*k - 778 = -262. Give u(k).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-118)\/(-16) - -18*(-14)\/672. Suppose 31*y - l = 55. Solve -4*h + 5*a - 4 = 6, -y*a = -4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 5*k**4 + 16*k**3 + 42*k**2\/5 + 8*k\/5 - 233. Solve a(y) = 0.\nAnswer: -2, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1056 divide 36028439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9407096437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5883\/522529 or -1?\nAnswer: 5883\/522529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 428 divide 503675696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -351\nAnswer: -350.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*o**2 + 4*o**3 - 11*o**2)*(2 - o - 2) + 3*o**2 + o**4 + 4*o**2 - 5*o**2.\nAnswer: -3*o**4 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 8*w**2 - 6*w + 9. Let k be a(9). Suppose 0 = 3*n - 5*q + 12 - 4, 4*q - k = -5*n. What is the remainder when 11 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8370 and 27810?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 135? (a) -3 (b) 1\/12 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3572*4.\nAnswer: -1.4288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1824 divided by -22423?\nAnswer: 1824\/22423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -18. Let z(n) = 4*n + 8. Let k(v) = v + 1. Calculate a*k(h) - z(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**5\/60 + 127*n**4\/24 + 122*n**2. Let z(b) = 2*b**2. Calculate o(z(c)).\nAnswer: -4*c**4 + 254*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 + -2.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (110\/(-165))\/(1\/1)*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(10\/(-18))\/((-30)\/36).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1170 - 1144. Let s be -537*(2 - (-14)\/(-6)). Suppose 2*w - 2*l - 3*l - s = 0, 4*w + 4*l - 288 = 0. Calculate the remainder when w is divided by x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13235 + 13235 + 4*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25693848*s**3*w**2 - 3*s**2*w + 2*s - 19265907*w**2 wrt s.\nAnswer: 154163088*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**5\/20 + z**4\/2 + z**3\/6 - 5*z**2\/2 + 279*z + 1. Let i(q) = 2*q**3 + 11*q**2 + 3*q - 9. What is 6*i(w) - 11*u(w)?\nAnswer: w**3 + 7*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*t - 24*t + 456000 = 0. Does 38 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -114240?\nAnswer: 114241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 7*i. Let a be l(-7). What is the second derivative of 3*o + 3*o**5 - o + a*o**5 wrt o?\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 1 + 14. Suppose p*l + 0*h - 2*h = 2, h = l - 1. Suppose l = 2*t + t - 54. What is the smallest common multiple of 14 and t?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s - 34*s = -12. Let z(w) = 2*w + 4. Let o be z(14). Suppose i - o = 3*i. Which is the second biggest value? (a) s (b) 1\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l - 50. Let f(r) = -2*r - 66 + 2*r - 7*r - 34. Let g(w) = 13*d(w) - 6*f(w). Let s be g(20). What is the greatest common divisor of s and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18582 + 371541\/20. Find the common denominator of -83\/2 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {e: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-203)\/145*30\/(-1533)\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11549916 divided by -6?\nAnswer: -1924986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 58*d - 14 + 16 - 21*d + 53*d + 18. Is 16 a factor of x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u\/(u**(-9)\/u)))\/u)\/u)\/u**9)**(-47) assuming u is positive.\nAnswer: u**987","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1753954*d**2 - 299711*d?\nAnswer: -3507908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*l + 51, -3*u + 5*l = 3*l + 42. Let g be (-13)\/(-4) - (-3)\/u. Suppose 0 = 4*n + 5*f - 6 - 33, -2*n = g*f - 21. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -583074*y + 1166144*y - 583076*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21762827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*i + 104 = -58. Calculate the greatest common divisor of i and 100.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 70440*g + 1972330. Give a(-28).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-5\/6)\/a)\/a)\/(a**(1\/2)*a))**22)**(-8\/13) assuming a is positive.\nAnswer: a**(176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5 = -c. Suppose -14 = c*p + 1. What is the tens digit of p*-1*92\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 9:35 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = -h + 7*h. Let r(c) = 6*c**3 - 3*c**2 + 3*c - 3. Let u be r(2). Let p = h - u. Solve 0 = 5*l + p*j - j, 5*l = -2*j + 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 3, 16.8 in ascending order.\nAnswer: 2\/3, 3, 16.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14009716 + 0\nAnswer: -14009716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c - 54*c - 7*c + 14*c + 19*c.\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 86*q**2 - 275*q - 8549. Calculate k(-88).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 25*u - 8. Let h(x) be the second derivative of 5*x**3\/6 - 8556*x. Determine h(b(v)).\nAnswer: 125*v - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6722.92 minus -4?\nAnswer: -6718.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68720 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 0*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + -20 + 57 - (-1 + 0 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(132)\/sqrt(4))\/sqrt(3) - (0 + (sqrt(11)*2)**2)).\nAnswer: -3*sqrt(11) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*l**3 + 40*l**2 - 27*l + 630970 with respect to l.\nAnswer: 60*l**2 + 80*l - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 12:44 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -343111430 (base 5) to base 10.\nAnswer: -1535240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5))**(-4\/11)\/((d**27\/d)\/d**(-12\/7)) assuming d is positive.\nAnswer: d**(-1994\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09397 to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {y: 4, v: 16}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**3*y**2*z**2 - c**3*y**2*z + 386*c**3*z**4 + 157*c**2*y**3*z + 406*c*y**3*z**4 - 2*c*y**3 - c*y + 8*y**3 wrt z.\nAnswer: 9264*c**3*z + 9744*c*y**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:26 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -220 + -1142?\nAnswer: -1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/46433 and 12\/195821?\nAnswer: 154111127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110908080 by -308078.\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*r = -27, -4*d + 10*r + 4 = 8*r. Solve 3*u = o + 5, -o - 2*o = 3*u + d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -394*g - g**2 + 16 + 23 - 36 + 341*g to the form c*g**2 + h + i*g and give i.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256, 227, 200, 175, 152, 131?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 24*o - 4. Let t(u) = 2*u - 1. Let j(w) = 4*w - 9. Let a be j(3). Let b(v) = a*t(v) + x(v). What is the derivative of b(h) wrt h?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 2 - (-59 - (-85 - -40)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9408116 - 9408116 + 6*l**2 - l.\nAnswer: 6*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 - 58 = -c. Let o be -1 + ((-564)\/3)\/(-2). Calculate the greatest common divisor of c and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 108*k**2 - 3*k + 1. Let c be q(1). Differentiate 10 + c*d**2 - 77*d**2 + 0 wrt d.\nAnswer: 58*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kfkkkkjkkkkkkf?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -124*l - 118*l + 368*l in the form b*l + k and give b.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26999960459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83782?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8224 - 4655. Calculate the highest common factor of 83 and c.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/2)\/(3\/(-4)). Let f = -3.4392 + -0.5608. Which is the second smallest value? (a) 4\/3 (b) u (c) 0.2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1, -16, -5 in increasing order.\nAnswer: -16, -5, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3\/5 + 23*w**2\/5 + 10*w = 0. What is w?\nAnswer: -2, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5092a4 (base 11) to base 3\nAnswer: 1112112112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k + 1 + 2*k + 3*k. Let s be 4*(-2)\/(-8)*-1. Calculate the least common multiple of n(s) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-1) - -1)\/5. Let q = -60.7829 + -0.2171. Put z, q, -0.1, -1 in decreasing order.\nAnswer: -0.1, z, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 176 - 69. Let g = -80471\/20 + 4020. Calculate the common denominator of (10\/6 - 1) + r\/(-66) and g.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 46.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 10 - 8 + 0*t + 2*t - 2. Let h(w) = w**2 + 526. What is y(h(d))?\nAnswer: 2*d**2 + 1052","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -175*v. Let t(i) = -17*i. Let z(q) = -c(q) + 10*t(q). Let o(u) = 444*u. Determine o(z(g)).\nAnswer: 2220*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/42 + 2 + 20\/3. Suppose t*g + 3351 = 11*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4, -3*b + 123 = 5*y + 34. What is the remainder when 108 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 5. Suppose 0 = 3*a - 626 - 370. Suppose -a = -5*c + 68. Calculate the highest common factor of c and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24.5 - 24. What is the nearest to -0.1 in h, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*p - 4223 - 14740 = 0 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5234*b + 3538*b + 182948 = 2997*b - 146227 for b.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/161455 and 45\/226037?\nAnswer: 1130185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/7 + (-2)\/7. Let i be -8*70\/1344 - (1 + (-7)\/6). Which is the closest to n? (a) 3 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*w - w = 271, -x = -w - 91. Suppose 3*q + 3*q - x = 0. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - p - 14, 5*p + 21 + 0 = -28*y - 41 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2374?\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 232.1 - 167.1. Which is smaller: -0.04 or z?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l**2 - 406*l + 406*l. Let s(o) = -4*o. What is w(s(r))?\nAnswer: -96*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/2748632?\nAnswer: -3\/2748632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35680288 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128687, 257371, 386055, 514739, 643423, 772107?\nAnswer: 900791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 362218715 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.124 + -0.276. Which is the nearest to 0? (a) x (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*d = -16, 7*n - 4*n - 12 = -d. Let i = 934 - 344. Suppose c = -n*c + i. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149\/((-4548672)\/(-648))*(-24)\/(-9)\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - n. Let z be o(-2). Let h be (-6)\/27*-33 - z\/(-18). Let d(r) = 2*r + 3. Give d(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - p**2 + 3. Let j be h(0). Suppose -4*b - 17 = -j*m - 3*b, 5*m - 40 = 4*b. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -35*v + 10 - 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17870 is divided by 17860.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(99) + 1 + -3)**2 - ((-5 + sqrt(539)*2)*3)**2.\nAnswer: -19505 + 1230*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**7\/70 - 3*m**6\/20 - 3*m**5\/5 - m**4 + 2*m**2 - 16. Factor k(w).\nAnswer: -3*w*(w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w + 41. Let c be s(19). Suppose z + 342 = c*z. What is the highest common factor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d - 2 = 0. Suppose 8 = -2*s + j, 3*s - 5*j = 8*s + 50. Let f = d - s. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Solve l = -g*l + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3303047000 rounded to the nearest 1000000?\nAnswer: -3303000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 3*t + 8*t)*(2 + 2 - 2)*(2*t + 2*t - 2*t) + (-2 - 6 + 4)*(9 - 14 + 4)*(-4*t**2 - t**2 + 3*t**2).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9536953636577*q + 9536953636577*q + 8*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 70 in -1, 610\/39, -3, 0.4?\nAnswer: 610\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8948 - -941354.\nAnswer: 941355.8948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -607*x**2 + 190*x wrt x?\nAnswer: -1214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16153041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 344*n*x**4 + 74*n*x**3 + 4*n*x**2 - 2*n*x + n + 4*x**4 - x**3 + 2499*x**2 wrt x?\nAnswer: 8256*n*x + 444*n + 96*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (5 - (8 + -11)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s*s**(-28)*s))*s*s\/(s**27*s)*s assuming s is positive.\nAnswer: s**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 8:44 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -9\/10, 5, 19, 2?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54888 is divided by 188?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 989*q - 1499*q = -792*q + 15510 for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102 - -104. Solve 0 = j*h + 6*h - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -4. Let v(g) = -5*g**3 + 4*g**2 - 4. Suppose 157*l - 146*l = 7 + 4. Let y(o) = o**3 - o**2 + 1. What is l*v(d) + z*y(d)?\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 11. Let q(s) = s**2 - 6*s + 1. Let h be q(4). Let m be n(h). Suppose x - 84 = -m*x. What is the remainder when x is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*i**2 - 74*i + 74*i in the form g + p*i**2 + u*i and give p.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 197 = 3*g + 286, h + 329 = 71*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 7. Let i be (-50)\/(-15)*42\/5. Suppose -5*o - 4*n = -3*o - 20, i = 4*o + 2*n. Solve p = -o*r + r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -149 - -876. Is n a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 0*u**2 + 6*u**2 - 2*u**4 + 44*u - 19 - 8 - 16*u**3 - 5 = 0?\nAnswer: -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0337 + 0.0337. Let p be (-1 - 1)*2\/(-8). Which is the third biggest value? (a) p (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 14*d + 17. Let t(f) be the second derivative of -3*f**2 + 0 + 8*f - 5\/6*f**3. Suppose -3*y - 34 = -5*y. What is y*t(h) + 6*p(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -180629, -3319, 2 in descending order.\nAnswer: 2, -3319, -180629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 + 0.0454224203.\nAnswer: -100.9545775797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -4. Suppose -4*b + 12 = 2*d, -3*b + b + 5*d + 6 = 0. Differentiate -6 + 12 + 4*s**h - b*s**2 with respect to s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.62663 and -196.\nAnswer: -193.37337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 10:14 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 466\/22 - (-4)\/(-22). Suppose -27 = -2*i + a. Calculate the greatest common divisor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-320)*4)\/(9260\/(-4630)).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 1. Let j(s) = -16*s**2 + 2*s - 3. Give -j(v) + 4*u(v).\nAnswer: 20*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1057*f. Let g(r) be the first derivative of -r**2 - 1840. What is k(g(d))?\nAnswer: 2114*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44778825 by -3.\nAnswer: -14926275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/37866830 and -59\/5531110.\nAnswer: 492268790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -165517 or -165515?\nAnswer: -165515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3172*k**3 + 7*k**2 - 35711*k wrt k?\nAnswer: -19032*k + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -345 + 405. Calculate the smallest common multiple of 84 and w.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*j + 6, -5*n = -3*n + 4*j + 8. Suppose n = 12*o - 8*o. Solve 0 = -f - o*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.6403*-10\nAnswer: -106.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -296 (c) 675 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(-343*q - 435*q - 930*q).\nAnswer: 3416*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 34*j + 36. Calculate z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2452275 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 5 (c) 1\/16 (d) 12\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*h**3 + h + h + 9*h**3 + 7*h**3 + 3*h**2 to the form w*h**2 + d*h + b*h**3 + i and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -454, -325, -196, -67?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4174 times -0.67539\nAnswer: -2819.07786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2602.066 rounded to the nearest 10?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000030216 rounded to seven decimal places?\nAnswer: 0.0000302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*u + 12733575, 0*d + 2*d + 4*u - 12733568 = 0. Let n = d + -14186786. Round n to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**5 + 20*t**4 - 10*t**3 - 20*t**2 + 15*t = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72129576 divided by -5667.\nAnswer: 12728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - n - 28. Let c(w) = -w**2 + w + 28. What is 4*c(h) + 3*x(h)?\nAnswer: 2*h**2 + h + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*r**4 - 68*r**3 + 84*r**2 - 12*r - 16.\nAnswer: 4*(r - 4)*(r - 1)**2*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 155 = -81. Suppose 7*z - 24 = -j + 6*z, 5*j + 3*z = 114. What is the remainder when p is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z**1*z))*z*z)\/z*z*z**18 assuming z is positive.\nAnswer: z**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0)*(-7 + 18). Let q = g - 7. Calculate the greatest common factor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -299*m + 36864. Let u(h) = 63*h - 7373. What is -19*u(j) - 4*z(j)?\nAnswer: -j - 7369","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + h + 0*h)*(2 + 1 - 1)*(1 + 3 - 2) + 26*h + 6*h - 47*h + 2 as b + n*h and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.184 or -0.0247?\nAnswer: -0.0247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/5)\/((-48)\/(-36))*(-10)\/(-2475).\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 188*y**2 - 3982*y - 24388.\nAnswer: -2*(y + 13)*(y + 14)*(y + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w + 681388 - 429491 = -797351. List the prime factors of w.\nAnswer: 32789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 85 in -0.064, -12, -2\/19, -5, -4?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + d**3 - 2*d**3 + (-4 + 1 + 5)*(-3*d**3 - d**3 + 5*d**3) + (-d**2 + 5*d**2 - 2*d**2)*(245*d - 63316 + 63316) - 2*d**3 + 2 - 2.\nAnswer: 489*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 10210?\nAnswer: 10214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -22*g**7\/105 - g**5\/10 - 5*g**3\/6 + 2*g**2 + 2*g. Find the third derivative of v(r) wrt r.\nAnswer: -1056*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*z - 80. Suppose 4*a = -z, -5*q = 2*a + 2*a + 1. Find the third derivative of 2*p**4 - p**2 + q - 3 + 2*p**2 wrt p.\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6311 plus -0.03?\nAnswer: -0.6611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -3\/7, -44, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 - (20 - 6)) + (0 - 9) - 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*m - 5*m + 134 = 0, 4*i + 5*m + 237 = 0. Let o = -40 - i. What is the greatest common divisor of 91 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, 2, -5, 489, 1\/22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36c09 (base 13) in base 3?\nAnswer: 12010102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -518 + 483. Which is bigger: n or -40?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 6, -2*o = 3*o - 4*a + 7. Suppose -3*d + 23 = -o. Suppose -2*b - 4 = -28. What is the least common multiple of d and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 17, 1, -1, 4 in descending order.\nAnswer: 17, 4, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 9:10 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -356 + 1480. Is 47 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + -40. Let i be 2\/((-48)\/(-15))*(-1203)\/10. Let a = s - i. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**13*o*o**(2\/3)*(o**(-5))**(22\/9) assuming o is positive.\nAnswer: o**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - u. Let z(d) = 10*d**2 - 8*d. Let w(o) = -8*n(o) + z(o). Suppose 3*i + 3 = 12. Let h(j) = i*j**2 - 4*j**2 + 3*j**2. Determine h(w(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(-5 + 1*sqrt(147)).\nAnswer: -63*sqrt(3) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - y**2 - 13 - 7 - 5 in the form u*y + f*y**2 + z and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c804 + -870?\nAnswer: -10374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1. Let m(f) = f + 1. Determine 3*m(h) + 3*s(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1 + 0 - 2 + 3 + (-1 + 2 - 3)*(4 + 0 - 3) + 5 + 6 + 2)*(-21 - 1 - 8)*(0*r + r + 2*r).\nAnswer: -900*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-13))**30)**(-34) assuming z is positive.\nAnswer: z**13260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 4*d + d)*(0 + 1 + 1) + 72*d + 942 - 942.\nAnswer: 74*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4\/5 (b) 2\/17 (c) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 25*u - 73. What is the tens digit of f(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3326921973 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/3*(-147072)\/(-379936).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.99334 - -0.00666. Which is the biggest value? (a) g (b) 5 (c) -1334\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 70525?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(2\/7)*h*h*h*(h**(-2\/19)\/h)\/h assuming h is positive.\nAnswer: h**(290\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p**2 + 20*p - 18. Let r(k) = -6*k**2 + 21*k - 19. Let d(b) = 4*r(b) - 5*y(b). Let n be d(16). Solve -2*h - x = -5*x - 14, -3*x - n = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261083443.\nAnswer: 613, 425911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: e (base 16) to base 12\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312237 divided by 3.\nAnswer: -104079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26613 is divided by 99?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - -53. Let x(h) = 5*h**2 + 7*h + 8. Let g(i) = -4*i**2 - 7*i - 9. Let f(t) = c*x(t) - 4*g(t). Let r be f(-4). Solve r = -5*d - 0 - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 592280 and 1040.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 19*j - 8. Let z be a(-17). What is the third derivative of i**5 + 9*i**2 - 16*i**5 - z*i**2 wrt i?\nAnswer: -900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11960, -24028, -36100, -48176?\n\"Answer: -2*g**2 - 12062*g + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2212823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l - l)*(6*l - 2*l**2 - 6*l + (0*l - 6*l + 4*l)*(l - 1 + 1)).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -19. What is the remainder when 6 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9691\/20 + -2424\/5. Which is the nearest to 2\/45? (a) -2\/5 (b) x (c) -2\/11 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12720935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16.7 + 16963088\nAnswer: 16963104.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2) + 2 + 0. Find the third derivative of 2*r**2 + 0*r**5 + 3*r**j - 3*r**3 + 4*r**5 wrt r.\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*y**2 - 132*y**2 - 128*y**2 + 377*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 504994 and 294?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18, 2\/19, -566226?\nAnswer: -566226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/105)\/((-8)\/20). Which is the second smallest value? (a) r (b) 5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 35, 71, 131, 221, 347, 515?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31\/515 - -1483\/1030. Let -w*y**2 + 3\/2 + 0*y = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1143*0.86.\nAnswer: -982.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 + 54. Let z = 64 + v. What is the least common multiple of 8 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 3*x**2 + 6*x + 2. Give v(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 683939081*y**4 + 627843*y**2 - 29*y + 1.\nAnswer: 16414537944*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 42, 62, 82, 102?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 792.5 - 789. Sort -1\/3, -0.5, j in increasing order.\nAnswer: -0.5, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 15) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 14*h = 68. Let a = h + -32. Solve -1 - 3 = -a*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + g - 141. What are the prime factors of g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*z = 3*g - 46, 3*z = 0. What is the highest common divisor of g and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -24 - (-12)\/(-6). Let a be (-18)\/p - 5021\/(-51). Let z = 99 - a. Sort -5, z, 5 in descending order.\nAnswer: 5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/30 + 12 + 1\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Suppose -k = 9 - 2. Let z(l) = l**3 + 8*l**2 + 7*l + 3. Let w be z(k). Solve -w*h - 2*h = o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 12, g: 1, h: 1}. What is prob of picking 1 h and 1 e?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19837 and 137903?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1626757842?\nAnswer: 2, 3, 29, 73, 89, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*r**3 + 160*r**3 - 303*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1222 - -1103?\nAnswer: 2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 10*w**2 - 2*w - 1. Let h be m(-1). Let t = h - 8. Calculate the remainder when 49 is divided by 2\/3*t - -15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06897 - 2.83103. Sort 0.4, 81, a in ascending order.\nAnswer: a, 0.4, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**4\/4 + 5*g**3\/2 - 126*g**2 + 1692*g. Let t(l) = 0. Calculate l.\nAnswer: -12, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 20*r**2 + 24*r - 158. Calculate the least common multiple of 30 and c(5).\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 3\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -140720.23 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.221 + -106.779. Let f = 106.99472 + p. What is f rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6970 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 2*c**3 + 2*c**2)*(-421 + 634 + 162).\nAnswer: 750*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5410073 and -17389?\nAnswer: 5427462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/5 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20596\/57 + (-4)\/(-6). Is -2\/3 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 3*n + 80, 16 + 16 = 2*o - 2*n. Let i = 9 + -6. Suppose -i*h + o + 47 = 0. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218073 greater than 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*p - 25, 4*b - 169 = -165. Let v be 8\/20 + (-136)\/(-10). Calculate the highest common divisor of p and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 4*f**3 - 2*f**3)*(8*f**2 + 7*f**2 - 8*f**2) + (-6*f**4 + 23*f**4 + 20*f**4)*(-2*f + f + 0*f).\nAnswer: -44*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 + 132. Suppose 0 = -5*m + 12 + 28. What is the highest common divisor of q and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glnpplpkplbl. What is prob of sequence gppb?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 0\/(-1) - (-49)\/7. Suppose 3*h + p*j - 2 = 385, 5*j = -2*h + 258. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, p: 2}. Give prob of sequence tpt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2292318141?\nAnswer: 3, 71, 739, 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 9080*q + 2693311.\nAnswer: (q - 8773)*(q - 307)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1422140 - 2443?\nAnswer: -1430133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6359*v - 2243*v + 12873*v - 76 + 76 to the form j*v + c and give j.\nAnswer: 16989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 850926 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8 = -4. Suppose 3*o - 18 = t*s, -3*s + 0 - 7 = o. Let h be 10\/(-20) + (o - 1). Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -49 - 83697*x - 83690*x + 167389*x. Calculate u(24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -151*x + 119*x - 160. Put x, 3, 4, 55\/4 in increasing order.\nAnswer: x, 3, 4, 55\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -5, 150, 29761 in decreasing order.\nAnswer: 29761, 150, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s - 4*s**3)*(-2 + 2 - 2 + 0 - 1 - 2 - 2 - 2 + 5 - 7 + 1 - 2 + (-2 + 1 - 1)*(1 - 2 + 3) + 2 - 7 + 3).\nAnswer: 72*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*1 + sqrt(19) + 1*sqrt(76))**2*-4*3.\nAnswer: -44688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 1. Let k(x) = x**2 - 3*x. Let f(z) = k(z) + 3*s(z). Let u(a) = 3*a**2 - 2*a - 2. Give -2*f(r) + 3*u(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u + 44. Let g be o(8). Calculate the greatest common factor of 135 and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2. Let j(y) = 7*y + 5. Let g(i) = -2*i - 1. Let k(a) = 10*g(a) + 2*j(a). Calculate k(d(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 33, -4\/5403 in decreasing order.\nAnswer: 33, -4\/5403, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-2)\/4 - -13. Let w be ((-10)\/8)\/(3\/c). Let z = w - -10. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 8) in base 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*s = 1 + 3, -2*s - 16 = -4*w. Suppose 81 = q - 5*c - 117, w*q - 746 = -3*c. Let i = q + -69. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7)\/d)\/((((d*d**(4\/9)*d)\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(-67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 284 = 16. What is the remainder when 3659 is divided by t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-31)\/(-27) - 2. Suppose -68*z + 73*z = -2*w + 3, -2*z = -5*w - 7. Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 648, 1086, 1416, 1584, 1536?\n\"Answer: -9*u**3 + 501*u + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x - 10. Suppose -23 + 11 = 4*q. List the prime factors of u(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3\/3 + 2125*k**2 + 3958296*k + 1636541604 = 0.\nAnswer: -786, 7947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**3 + 46733*k**2 - 281*k + 35?\nAnswer: 12*k + 93466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0029387 to 5 decimal places.\nAnswer: -0.00294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 21. Calculate g(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15943318, 15943320, 15943324, 15943330, 15943338?\nAnswer: 15943348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21, 4\/7, -0.5, -7\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 2618.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*y - 25 = 0, -3*h + 7 = y - 8. Suppose 5*o = z + 2 + 2, h*z = 3*o + 35. What is the smallest common multiple of z and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 80?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-153)\/((-125307)\/14))\/(4\/((-2)\/1))?\nAnswer: -1\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/16 + (-6)\/(-16) - -18?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -1. Suppose 5*u - 3*k - 16 = 0, 0 = 4*u - k - t - 6. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 641.7 * -41.\nAnswer: -26309.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -41. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/(-12))\/((-8)\/(-32)))\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -119*o - 1543. Let d be w(-13). Calculate the greatest common factor of d and 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r**3*r*r**0*((r**(2\/7)*r)\/r)\/(r\/(((r**(-2\/5)*r)\/r)\/r)) assuming r is positive.\nAnswer: r**(136\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -72. Solve -6*h + 2*h = f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 23*b**2 + 21738*b + 152960. Give o(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 2*p + 0*p)*(1 + 4 - 4 - p) + 0*p**2 - 3*p**2 + 13*p**2 in the form f*p**2 + v + w*p and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5987406 and 5596923.\nAnswer: 257458458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2057, -4146, -6249, -8354, -10449, -12522?\n\"Answer: 2*u**3 - 19*u**2 - 2046*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-7)\/c)\/c*c*c\/((c**(-2\/9)\/c)\/c)*(c\/(c*c\/(((c*c**(-4))\/c)\/c)))\/(c*c**(-2\/3)*c))\/((c**(-1\/2)\/c)**(2\/15))**14 assuming c is positive.\nAnswer: c**(-419\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110531599?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -67, -1, 0 in increasing order.\nAnswer: -67, -3, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*s**3 + 4*s**3 - 11*s**3)*(3 + 2*s + 3*s - 1) + (-s - 2*s + s)*(0*s**3 - 3*s**3 + 5*s**3) - 3*s**4 + 3*s**4 - 2*s**4 + (3 + 2 + 3)*(2 - 2 - 2*s**4).\nAnswer: -142*s**4 - 48*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 171*r*t + 2*t - 39 with respect to r.\nAnswer: 171*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -81*t**3 + 33*t**2 - 33*t + 33. Let j(x) = 10*x**3 - 4*x**2 + 4*x - 4. Calculate -33*j(a) - 4*q(a).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 10*z - 75, 0 = 3*a - 2*z - 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55437285 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 15 + 45. Suppose -4*a = 3*v, -6*v + z = -v. Let y(g) be the third derivative of g**5\/60 + g**4\/12 - g**3\/6 + 6*g**2. What is y(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -199 - 199 + j + 399. Let c(f) be the first derivative of -f**2\/2 - 3*f - 54. Give 2*b(n) + c(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q - 3*q + 5*q + (23 + 2 - 2)*(3*q + 2*q - 4*q) + 11*q - 28*q + 12*q to the form t + b*q and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.021 + 41.021. Suppose 57*x - 209 = 1273. Suppose 5*s - x*s - 84 = 0. What is the closest to 0 in q, 4\/7, s?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -12*x**2 + 36*x - 9. Let u(z) = 4*z**2 - 13*z + 3. Calculate 4*k(s) + 11*u(s).\nAnswer: -4*s**2 + s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Suppose 2*i + g*i - 12 = 0. Solve 15 + 0 = 5*x, i*y + 21 = 4*x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*7\/(-105))\/((27\/(-30))\/(-9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2597\/3 - (5 - 39\/9). Let r = c - 480. What is the greatest common factor of 35 and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -144*j. Let o(p) = -13*p. Let w(c) = -11*o(c) + v(c). Let x(r) = 14*r**2 - 32*r. Calculate w(x(f)).\nAnswer: -14*f**2 + 32*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 73. Let s = k - -86. What is the remainder when s is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.43042 and 23.\nAnswer: -101.89966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*f**2 - 28*f**2 - 24*f**2 + 24 + 27*f.\nAnswer: 3*(f + 1)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.126513mm to nanometers.\nAnswer: 1126513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/58480 and -19\/3060.\nAnswer: 526320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((676\/585)\/26)\/((-352)\/(-1584))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/15*(-6)\/8*70\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w**2 - 34*w - 1. Let j be b(5). Put j, 3, -6 in increasing order.\nAnswer: -6, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 42*c - 1236. Let a be d(47). Calculate the highest common factor of 72 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**3 - 10*z**2 + 4*z - 4*z + 3*z**3.\nAnswer: -5*z**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + -1*sqrt(192))\/(5*sqrt(150)).\nAnswer: -3*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9971\/52 - (1 - 3\/12).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5\/4, -10 in ascending order.\nAnswer: -10, -5\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1964 - -1971. Solve -w + 15 = 4*x - d, 0 = -x - 4*w + 13 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34428 - -34430. Let h be 1*5\/(-4) + 1. Which is the closest to h? (a) 0.3 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) - (-165)\/44. Solve -t*b = -10 - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12212 - -232310013?\nAnswer: 232322231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30722785 to the nearest integer?\nAnswer: 5543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2616\/(-120) - -20)*(-1)\/(-6).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 5*w**2\/2 + 31*w - 36. Let h(x) = x + 6. What is 11*h(m) - 2*k(m)?\nAnswer: m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from {p: 6, m: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 divided by -214.\nAnswer: 61\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 297 and 2959?\nAnswer: 79893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -952, -1924, -2886, -3838, -4780, -5712, -6634?\nAnswer: -7546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x + 74 = 38*x. What is the remainder when x is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**2. Let x(h) be the second derivative of -2*h**5\/15 + 3*h**2\/2 - 19*h. Let t(f) be the first derivative of x(f). Give p(t(a)).\nAnswer: -256*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.69 + 0.79. What is the smallest value in 1, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*l - 78*l - 3*v = -10489, 7*v + 6311 = 3*l. Calculate the remainder when l is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10503533 + -13?\nAnswer: 10503520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/5 and 133\/6460 - 2\/(-8).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**2\/5 + 4124*w\/5 - 55308 = 0.\nAnswer: -4190, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + i = -2, -2*i - 2 + 4 = -3*p. Let a be (-1 - p) + 51*1. Does 9 divide (6\/(-8))\/((-2)\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-18))\/(-4)*15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 + -181. Which is the third smallest value? (a) -2 (b) 1\/10 (c) h (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 0.135\nAnswer: 19.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5 = 20. Suppose c*o - 8*o = -40. Suppose -p + 3*a - 11 = -0*p, o = 2*a. Solve 0 = -x - p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27958 times 2937\nAnswer: 82112646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - l + 1. Let b = 25 - 24. Let h(w) = 8*w**3 - 5*w + 7. Let z(f) = b*h(f) - 5*s(f). Differentiate z(k) wrt k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a0c1 (base 16) in base 12?\nAnswer: 1b995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 + 18 = -a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2, -82*u = 4*g - 77*u - 187422. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(2*35\/(-28))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -23583*c - 70985. What is q(-3)?\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -5*a + a + 5, 3*s = -4*a + 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14405806 (base 10) to base 5\nAnswer: -12141441211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i*o*z**2 + 2*i*o + 479984*i*z + 647276*o*z**2 + o*z - 2 wrt i?\nAnswer: o*z**2 + 2*o + 479984*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12025008 divided by -4068?\nAnswer: 2956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1602.484 + -0.2.\nAnswer: 1602.284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*p**3 + 50*p**3 - 2*p - 2*p**2 + 2*p**2 - 94*p**3.\nAnswer: -5*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*x - 12 = 0, 2*g = -4*x + 8*x + 16. Solve 4*t = 5*w + 9, -3*t + 1 = g*w + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 155143*c + 1861723. Determine m(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-24 - (-48416)\/2016)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -3\/2, -7\/2, -3\/80, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*sqrt(5) - ((sqrt(5)*1 - sqrt(5))*4)**2.\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + 795?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2. Let o(w) = 2896133*w**2. What is o(b(p))?\nAnswer: 26065197*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1064 and 1406.\nAnswer: 39368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 871702644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/((2\/2)\/(44\/(-88))). Let a be (f + 0)\/(24\/36). Solve -a - 6 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-34 - -22)) + (8 - 4).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 39*y**5\/20 + y**4\/6 - 8*y + 40. Let q(t) be the first derivative of o(t). Find the third derivative of q(k) wrt k.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6005550 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: What is -0.00089527 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223110 - 26802 = -4806*h for h.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hpfhnnhuhnhf. What is prob of sequence hpff?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 - 5*p**3 + 0*p**3)*(-2 + 7*p - p - p).\nAnswer: -30*p**4 + 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 302 and (-70)\/(-3) + -10 + 4\/6.\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 331*c**8\/336 + 3*c**5\/20 + c**4\/4 + 294*c**2. What is the third derivative of k(q) wrt q?\nAnswer: 19860*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 617\/4 - 155. What is the nearest to 1 in 0, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 + 1 + -2) - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16846769?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (158916\/(-850))\/38 + (-1 - -6).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**6\/720 + w**5\/10 - 5*w**4\/12 + 4*w. Let f(y) be the third derivative of u(y). Give f(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126861 bigger than 126861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3)*b**(-2)*b**4*b*b\/(b*b*b\/b**5))**(15\/8) assuming b is positive.\nAnswer: b**(85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 739b543?\nAnswer: -739b545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-150)*12*2\/(-1).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9495 and 44310?\nAnswer: 132930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72027788 and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -19. Suppose -y + 4*r + n = 2*y, -5*y + 15 = -4*r. Solve -3*v + 5*g = -11, -v + 7*g - y*g = -13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1132 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6526*o + 5724*o + 158299 = -144*o - 263097 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*w = 7*w + 22, 0 = -2*c - 2*w + 8. Suppose -c*g = -80507 + 10458. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 16 = 0, 4*w + 0*o = 5*o + 12. Let r be (-2)\/w*5 + -2. Suppose 4*m + 7 = -r*c, -3*m = m + 5*c + 17. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 - u**5 - 2*u**5 + (-6 + 59*u**2 + 6)*(2 - 2 - u**3 + (3 - 2*u**2 - 3)*(-2 + u + 2)) + (1 + u**3 - 1)*(5*u**2 - u**2 - 3*u**2).\nAnswer: -178*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - w**2 + w + 1. Let s be x(0). Suppose -t = -5*o - 25, o + 0 - s = -t. Which is smaller: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.02586 and 8.\nAnswer: 8.20688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + -4 + -1 - 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**2 - g**2 - 2*g**4)*(3 - 8 - 1) to the form u*g**3 + h*g + f + n*g**2 + v*g**4 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 442182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4267 + -4216. Calculate the highest common factor of 102 and l.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - 4*t + (1 - 1 - 2*t)*(1 + 1 - 3) + 500*t - 555*t - 1005*t as w*t + x and give w.\nAnswer: -1062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.026798 millilitres in litres?\nAnswer: 0.001026798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 81 - 20. Calculate the remainder when h is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + m**2 - m. Let x(a) = 5*a**3 + 6*a**2 - 6*a. Let n be (0 - 18)*((-96)\/18 - -5). Calculate n*s(k) - x(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*p. Suppose 0*z + 2*z - f - 37 = p, -5 = -5*f. Calculate the remainder when (-1386)\/(-12) + 2\/4 - 4 is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8140*z + 18*z**2 - 3*z**2 - 5*z**2 + 0*z**2 - 8*z**2.\nAnswer: 2*z**2 + 8140*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12589\/41 + 307. Let u = -72459 + 14854064\/205. Let z = f + u. Is -1 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31571 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294\/14 - 12\/28 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/1812 and -5\/22.\nAnswer: 19932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2))**(-40)*(w*w**0)**5*(w**(-5)*w*w*w**(-1\/7))\/((w**(-2\/13)*w)\/(w\/w**(-2))) assuming w is positive.\nAnswer: w**(7645\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + z**2 + 4*z**2)*(z**2 + 20*z**2 + 25*z**2)*(-z + 2 + 2*z - 3*z).\nAnswer: -368*z**5 + 368*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.56 + 0.5. Let d = l - 4.94. Which is the smallest value? (a) d (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 = 6*a - 130 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/3861 and 38\/45.\nAnswer: 19305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 - 9*i**2 - 5*i + 4. Let z be d(5). What is the second biggest value in 19, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/((-630)\/(-24)))\/(((-8)\/(-7))\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1928 - 8.305.\nAnswer: -1936.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**3 + 5*h**3 - h**3)*(-215 - 220 + 439).\nAnswer: 44*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, -4, -0.58, 2?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1275, 2\/21 in increasing order.\nAnswer: 2\/21, 5, 1275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -252 + 281. What is the remainder when 71 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, 49, 131, 245, 391, 569, 779?\n\"Answer: 16*j**2 + 2*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11010101111 (base 2) to base 3\nAnswer: -2100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*q - 0. Suppose -4*c - 10 = -5*u, -6*c - 5*u + 10 = -c. Put 2, c, q in increasing order.\nAnswer: q, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -28*s + 67. Is 8 a factor of p(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(0 + 2 - -18). Let b be (2050*1)\/((-1)\/w). Round b to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -733*(-1402)\/74505785*(2\/10)\/(4\/(-10)).\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1938)\/(-68)*(8\/6)\/(17\/((-102)\/4))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + sqrt(19)*1)*3.\nAnswer: -18*sqrt(19) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + 91. Suppose -i = -5*k + x, 4*k - 28 = x + 58. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 211*d**6\/6 - 321*d**5\/10 - 2149*d**2. What is the third derivative of q(l) wrt l?\nAnswer: 25320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/11))\/(k\/(k*k**7)))**(-29)*(k*k*k*k**(-4\/11)*k*k\/(k\/(k\/(k\/(k*k**(-11)))*k)))**(-2\/17) assuming k is positive.\nAnswer: k**(-42280\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 1. Let d(x) = 1. Suppose 0*r = 41*r - 246. Give r*d(s) + 6*n(s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18074579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 240571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.01645 - -0.01645. What is the second smallest value in j, -0.02, 1\/6?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 7:56 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 726 and 8019?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1894509694?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -4*a + 2*u + 10, 2*a - 4*u - 20 = 0. Is 3 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (95749\/(-1086))\/((-28)\/(-6)).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -22 (b) 6\/5 (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, l: 8, i: 2}. What is prob of picking 2 l?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t + 8. Let w be (15 - 1 - -3)*9. Suppose 4*l - 3*f + 12 = w, 5*l + f - 181 = 0. Calculate the remainder when l is divided by y(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127181261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 12*g**3 - 3*g**2 + 8. Let s(h) = 4*h**2 + h - 11*h**3 - 2*h**3 - h - 8. Let j(u) = 4*l(u) + 3*s(u). Find the first derivative of j(d) wrt d.\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 - -108. Suppose -3*v + 75 = -d. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -393\/104 - -54\/13. Suppose f = 4*f - 9. What is the nearest to 0 in 1\/7, r, f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -1015?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, q: 7, t: 4}. Give prob of picking 3 t.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -62 - -28 - -28\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 17288\/5327 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = f + 99. Let s be -3*(2 + (-20)\/6). Suppose 5*p + i = 21, i + 15 = s*p - f. Solve -x - p = u, 3*x - 3 = 2*u + 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 7 - 19 = -4*q, -4*q = 2*s - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8644)\/(-6)*(-9 - (-855)\/30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from zrruvzmzuuuzuuz.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573*s - 2468 = 62*s + 2131 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, 2, -3, 1.6 in increasing order.\nAnswer: -6, -3, 1.6, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18922.929 months?\nAnswer: 157.691075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6295 = 5*a - 2*l + 6278, -a + 8 = -5*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2. Let w(g) = 1106494*g**2. Give s(w(f)).\nAnswer: 2448657944072*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 4, -0.57, -63, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -u + 5. Which is smaller: u or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -39 + 1 + -1 + 11 + 2 + -5?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l = 139598 - 140030. Let k be (-1221)\/(-5) - (-2)\/(-10). Let h = k + -125. What is the remainder when h is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -19300*k + 5597008. What is o(290)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*v - 0*d - 3*d, -3*v - d + 10 = 0. Solve -4*y - 3 = -3*i + 14, 4*y - v*i = -23 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 43*w**3 - 3*w**2 + 217*w - 639. Calculate q(3).\nAnswer: 1146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*u**2\/5 + 40*u - 44\/5.\nAnswer: -(u - 22)*(9*u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 49 = 2*b - 59, -5*r + 10 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v - 12*v + 3. Let y(x) = 5*x**3 + 12*x**2 + x + 4. Let u(d) = 3*d**3 + 8*d**2 + d + 2. Let i(c) = 8*u(c) - 5*y(c). Determine i(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1312 + 1314. Solve 7*b - o + 17 = 2*b, -5*o = m*b + 23 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1670\/(-35) + (-4)\/14. List the prime factors of 1\/(-6) - 2360\/v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 54*q. Let x(b) = -71*b**2 + 531*b + 2. Determine x(k(l)).\nAnswer: -207036*l**2 + 28674*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((4*(sqrt(7) + -1) - (1 + sqrt(21)\/sqrt(3))) + sqrt(28)\/sqrt(4) + -2 + -2).\nAnswer: -8*sqrt(7) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -16*z + 3. What are the prime factors of x(-2)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2178\/13*q + 2176\/13 + 2\/13*q**2.\nAnswer: 2*(q - 1088)*(q - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + r = -5*d - 31, -3*r + 4*d + 24 = 0. Let k be (-10)\/4*(-1 - r\/20). Suppose 2*l = k*l - 40. Calculate the highest common divisor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, -0.16, -1, 2\/265?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/18 (b) -2 (c) -4 (d) -0.05 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294, -1001, -2184, -3849, -6002?\nAnswer: -8649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -4041370?\nAnswer: -4041370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.012097 + 0.012054497. What is o rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3038505161.30000442 - 3038505669.3. Let u = r + 508. Round u to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/(-3))\/3 + -1. Let l(y) = -y + 7. Let f = -5 - -12. Let h be l(f). Is h less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021676 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, -1, 33 in decreasing order.\nAnswer: 33, 5, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g + 26. Let u be b(11). Suppose 0 = -4*n + 5*f + 87, -3 = -u*f + 1. Differentiate n*r + 2 - 23 - 15 + 6 wrt r.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*v + 241*v + 10*v.\nAnswer: 294*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = 2*t - 60. What is the common denominator of 61\/12 and ((-12)\/32)\/(21\/t)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-375180)\/175084*(7 - 0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 2*h - 18. Calculate l(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 673\/11 - 61. Let z = -14 - 18. Let v = z + 32.3. Which is the closest to 0.1? (a) v (b) 1\/6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.31 - 9.7. Let b = 0.01 - s. Let j = 0.3999936 - b. What is j rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -1122021?\nAnswer: -1122011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/3 - 646\/96 and (-3630)\/800 + 39\/390?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70\/3 - 23. Let k = 14619\/10 + -1450. What is the common denominator of v and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q = -300. Let t = 127 - q. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -11 (b) -2\/3 (c) -0.2 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.121527976695 and -5.\nAnswer: -5.121527976695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160093 is divided by 209.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/2 - 4053*k**2\/2 + 4894803*k\/2 - 1510817751\/2.\nAnswer: (k - 1791)**2*(k - 471)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 478 and 24.\nAnswer: 5736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -675*l + 2026. Give z(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1431, 1534, 1641, 1752, 1867, 1986?\n\"Answer: 2*w**2 + 97*w + 1332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -46. Let u(y) = 58*y - 36*y + j*y**2 + 5 + 3*y**3 - 21*y. Let r(p) = -p**3 - p**2 - p. Let o(l) = -4*r(l) - u(l). What is o(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1576, -5, -4, 5, 4 in decreasing order.\nAnswer: 5, 4, -4, -5, -1576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2, -0.1, -3\/5, -2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18155.9999970545 - -18156. What is m rounded to 7 dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10494.\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -0.1 (c) 1\/2 (d) 0.4 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -8. Which is the third biggest value? (a) -0.1 (b) q (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o + 102*o - 1920 = 48*o. Solve o = 13*t - t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from pppppppipppp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -170632, -341267, -511902, -682537, -853172?\n\"Answer: -170635*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65136\/813575 + -2\/32543. Let i = 0.24 - -0.06. Let t = 0.9 - 1.4. What is the fourth biggest value in 4, t, y, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08 - 0.38. Suppose -9 = -2*g - g - 3*h, 2*h - 10 = 0. Let r(o) = -2*o + 5. Let j be r(4). Which is the smallest value? (a) j (b) s (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 6 (c) -36\/53 (d) -14 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3245808 divided by 7.\nAnswer: -3245808\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 130442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*y + y + 20 = 0, -y = k + 4. Suppose 11*x - 10*x - 24 = k. Let f = x + 8. Calculate the smallest common multiple of f and 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71138*x + 15677?\nAnswer: 71138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 469229\/501592 + -161\/169. Find the common denominator of -151\/24 and j.\nAnswer: 8904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + q - 3. Let w be r(-2). Let a be 12 - (-1 + w) - 4. Suppose 4*u + 5*s = 477, -u + 5*s + 128 = -a. Round u to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63555671?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -6.9. Let t = 4.1 - -0.9. Which is the nearest to i? (a) -0.1 (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 - 156\/459. Is 1 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 - 7*c**3 - 5*c**4 + 2*c**3 + 4*c**3 - 20*c**2 + 13*c**2 in the form s*c**2 + g + q*c**4 + t*c**3 + r*c and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 318 and 26944882?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = -2*i - 82, -7536*z = -7533*z - 45 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -35 + (286 - 287).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 + -9.5. Let t = 11.00012 + v. Round t to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 0 + 8*o**2 + 10 + 3*o**3 + 0 - 2*o**3 - 9*o. Suppose 4*n = -5*m - 58 + 13, -4*m = 4*n + 36. Let t be k(m). Solve 0*s = 2*s + t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5 - (-192)\/210) + (-30)\/(-105).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -906 * 12.\nAnswer: -10872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88\/63 or -2?\nAnswer: -88\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*l + 14. Suppose -l = -2*w - 4*b, -26 = -6*w + 4*w - b. Let z be 1\/4 - (-479)\/4. Calculate the highest common divisor of z and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 2. Let d = h + 3.85. Round d to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 a when three letters picked without replacement from {a: 6, i: 8, b: 2, k: 3}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 9535172*j - 9535176.\nAnswer: 4*(j - 2383794)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -602\/311 or -1?\nAnswer: -602\/311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42333?\nAnswer: 3, 103, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1181 - -13016\/11. What is the common denominator of o and 41\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (sqrt(180) + sqrt(180) + -2*sqrt(180)) - sqrt(180))\/sqrt(6))\/(sqrt(18)\/sqrt(3)*1)*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 97.98516ml?\nAnswer: 0.09798516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 768 and 23840064.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15447 is divided by 3827?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 8. Let z = 20 - d. Let n = z - -19. Solve w - 3*g = 5*w - n, -3*w + 4*g + 28 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -25*f. Let t(b) = -88*b. What is d(t(n))?\nAnswer: 2200*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2, -2, -169?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.0523.\nAnswer: 0.2615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 - 30\/28. Let q = 5293 - 5292. Which is the nearest to 1? (a) m (b) 0.03 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 - 2*c**2 - c - 1. Let p be b(0). Let k = 44 + p. Suppose 5*v - 254 - 161 = 0. Calculate the remainder when v is divided by k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*s, -5*t + 3*s + 46 = 20. Let b(p) = p**2 - 5*p + 4. Let j be b(t). List the prime factors of 7 + (-3)\/9*j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3690 less than -3674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.531 + -1.530998497. What is h rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1535 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 2:57 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 79 - 80 = 2*w, 5*w = -g + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brjvjjjvrjjrbbj. What is prob of sequence vrb?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150) + -1*sqrt(150))\/sqrt(6))\/(sqrt(5) - sqrt(25)\/sqrt(5)*-4))**2 + 1*sqrt(10)\/sqrt(32)*1.\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 9. Let g be d(14). Calculate the greatest common divisor of 46 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-4))\/(0 - (-2)\/(-4)). Let k be (-6)\/4*(0 + -2). Put t, k, 1 in increasing order.\nAnswer: t, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 773*g - 754*g - 95 = 0. Solve 2*x - g*q + 10*q = 0, -4*x = -2*q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2 - 4*r**2 - 13*r + 21*r - 11*r. Let x be y(-3). Let u = x - -81. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3075 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (207\/(-4347))\/(78\/(-189)).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 245*n**2 - 15*n - 22*n - 20*n + 57*n to the form o*n + d + r*n**2 and give r.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2111222112 (base 3) to base 12\nAnswer: -2481b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.7621642 + -19.8867501. Let g = x - -14.1245973. Let c = g - 7. What is c rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6 + 3*q**2 - 6. Let n(z) = -2*z + 38. Let b be n(-8). Let i(g) = b*g + 54*g - 107*g. Determine d(i(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(15\/7)*c**(-1\/4)*(c*c\/c**(-17)*c)**(9\/5))**(-19) assuming c is positive.\nAnswer: c**(-20159\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -15*s**2 + 25*s - 176. Let v(y) = 3*y**2 - 5*y + 35. Let r(j) = 2*f(j) + 11*v(j). List the prime factors of r(-8).\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21355 * -31587.\nAnswer: -674540385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m**2*x**3 + m*x**2 - 172*m*x - 36*m + 3163374*x**3 wrt m.\nAnswer: -2*m*x**3 + x**2 - 172*x - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24641 + -73913\/3. Determine r, given that 4 - y*r + 2\/3*r**2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13436 (b) -0.1 (c) -0.07753\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((-12)\/(-33)) - -17. Sort 2, l, -1, -5, -18 in descending order.\nAnswer: l, 2, -1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388 = -3*p - 325 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79865322.\nAnswer: 2, 3, 19, 700573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6*j - 2*b + 14 = 0, 0 = -b + 1. Suppose -p = 4*m - 353, -2*m = -7*m - j*p + 436. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 2)*4\/6. Let f(b) = 16*b**2 - 8*b**2 - 10*b**w. Let u(a) = -11*a**2. Calculate f(u(h)).\nAnswer: -242*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 17*l - 3244 = -38468. What is the remainder when l is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from zdpzkmzmzzzvpddzpd?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 22 = m, -2*m = 2*m - 2*w - 16. Suppose -m*o = -61 + 17. What is the smallest common multiple of o and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -29. Which is the closest to 0.1? (a) z (b) 3\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/41 - (-830300)\/29602.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-960)\/(-3120))\/((-2)\/(-130))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080518369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 - (-3)\/(-9 + 2652\/289).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/sqrt(704) - (2 + sqrt(99))**2) + -2 + (-4 + (4*sqrt(1331) + sqrt(1331) - sqrt(1331)))**2.\nAnswer: -2911*sqrt(11)\/8 + 21207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11695573*a**2*d*v - 4*a**2*v - a*d*v - a*d - 66*a*v + 20*a + 3651*d*v + 2*v - 2 wrt a?\nAnswer: -23391146*d*v - 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f + f + f)*(f + 0*f + 0*f)*(5*f + f - 2*f)*(-4*f + 3*f - 4*f) to d + o*f**4 + l*f + y*f**3 + g*f**2 and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -24. Which is the third biggest value? (a) 1\/2 (b) s (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 11*g - 17. Calculate v(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) + (1*sqrt(170))\/sqrt(5))\/(2*(sqrt(2) - (sqrt(8) + sqrt(2))))*-3 + 5 + (-2*sqrt(136)*-1)\/(sqrt(72)\/(-2*sqrt(9))).\nAnswer: -5*sqrt(17)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1 + sqrt(605) - sqrt(605)) + -2)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9919?\nAnswer: 7, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0039354307 rounded to five decimal places?\nAnswer: 0.00394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 217739759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81057 by -22.\nAnswer: -81057\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 12, -10*d = 3*g - 14*d - 21 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3635619mg in grams?\nAnswer: 0.0003635619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**3 - 11*w**2 + 4*w + 8. Give r(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4977, -4882, -4717, -4464, -4105, -3622?\n\"Answer: 3*w**3 + 17*w**2 + 23*w - 5020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y + 29*y + 1752 = 0. Suppose -3*a = -5*g - 63 - 79, -4*a - 2*g + y = 0. Suppose 12*i - a = 11*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z + 26. Determine f(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 16 = 4*l. Let m = l + -8. Which is the biggest value? (a) 0.2 (b) m (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = -j. Let t = 17 + j. Let i = -33 + 62. Calculate the remainder when i is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of -2 - (-1 + -4*14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -2. Suppose 5 = -j + y*j. Let v = j - -9. Calculate the remainder when 25 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*t + 4241, 439 + 626 = x + 4*t. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -943568 divided by 136\nAnswer: -6938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*v = -10*v - 499, -4*v - 497 = -3*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*h - 14. Suppose -19 = -i + l, -9 = -i - 4*l + h*l. Let x(f) = -f**2 + 15*f + 36. Let n be x(i). Does n = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38.73 - -39. Let b = 38.27 - g. Let s = b + -40. Put 2\/11, s, 5 in increasing order.\nAnswer: s, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440814 is divided by 88139.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 213\/20 + -57\/5. Let x = 3284468\/105 - 31281. Let a = 24\/35 + x. Put a, 2, g, -5 in increasing order.\nAnswer: -5, g, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, p: 1, i: 1}. Give prob of picking 2 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 5 = 5*g, 3*g - 3*b = g - 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ccicicccc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 4 (c) 10 (d) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*z - 547, -2*g - 2*z = -5*z - 221. Suppose -101*q = -g*q + 368. Is q a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 908960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzz when three letters picked without replacement from {k: 1, w: 4, v: 1, q: 1, z: 8}.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*u**3 + 23497*u**2 + 4*u - 18709641 wrt u?\nAnswer: -18*u**2 + 46994*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*a**5 - 92*a**5 + 12*a**5 + (3*a - 4*a + 3*a)*(-7*a + 7*a + a**4).\nAnswer: -38*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 1:07 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 2*o**2 - 2*o + 2*o)*(1 - 3 + 4) - 6 + 6 - 3*o**2.\nAnswer: -7*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h = -27*h + 1803. Let v = 3600 - h. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332327 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -c2ba9 (base 16) to base 13\nAnswer: -21c077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*6)\/(9\/15*(-245)\/(-98)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*x**3 + 1570*x**3 - 392*x**3.\nAnswer: 842*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-128)\/44*(-104995)\/(-3818).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24182259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5098273 and 13747.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**2 - 8*d - 1 + 0 + 2*d**2. Let q be 1 - 3\/(9\/(-15)). Is p(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -475505*a + 475524. Determine o(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7*c**2 + 58*c. Let t(a) = 4*a**2 - 31*a. Let w(f) = 6*j(f) + 11*t(f). Let i(o) = 18*o. Give w(i(z)).\nAnswer: 648*z**2 + 126*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53 in 1\/21, -33, 0?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 0.19, 5, -0.2, 0.09, -2\/33, 0.08?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 1960*w**2 - 51*w + 10. Is k(-2) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 814 + -549. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: e8 (base 15) to base 14\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52517325*w + 17706177?\nAnswer: 52517325","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 100*w + 48. Let p be d(-8). Let m = -5260\/7 - p. Which is the third biggest value? (a) m (b) -3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 13) to base 3.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((43 - 70) + -25)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0801 + -1.1729. Let t = m + 0.253. What is the closest to 0 in -2, t, -0.117?\nAnswer: -0.117","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1138.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -406*x + 15. What is n(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75007490529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 546\/(-1352) - (-4)\/26. What is the nearest to c in -51, 2, -1.5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**3\/2 + 111*g. Let q(t) be the second derivative of -7*t**3\/6 - 2*t. Calculate q(n(z)).\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(8)) + 4 - (3*(3 + sqrt(18) + 0))**2.\nAnswer: -243 - 154*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2383531*m - 2383531*m - 74*m**3.\nAnswer: -74*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 5*b - 7. Let t be f(6). Let p = -0.4 + -0.1. Let x = -0.05 - -0.25. What is the second biggest value in x, t, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6*5\/1)\/(3\/(-2))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2592 and 419256.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -310 + 310. Which is the second biggest value? (a) y (b) -7 (c) 4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1217 = -456 - 567. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 150*v - 154*v + 12. Find the third derivative of 25*t**3 + 5*t**2 + 10*t**v - 9*t**2 - 15*t**2 wrt t.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*5*(sqrt(864) + sqrt(864)*2))\/(-1*sqrt(27)\/(3*sqrt(9)*1)))**2.\nAnswer: 2332800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, -286, -296, -304, -310, -314?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as 235901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2173.862 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 276d1e (base 15) to base 10\nAnswer: 1896329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a millimeter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 922744066?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, -1\/4, -2, 2\/3 in decreasing order.\nAnswer: 2\/3, -0.19, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.406694 and 1.807.\nAnswer: -0.599694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-174)\/9)\/((-64)\/25824) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -c + 156 + 118, 3*p - 5*c = 250. Calculate the highest common factor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 1 + 6. Let b(g) = g**3 - 7*g**2 - 1. Let h be b(7). Is 6 - h*(2 + k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 2. Let i be k(3). Let j(g) be the second derivative of 7*g**5\/10 + g**3\/3 - g**2\/2 + 4*g - 10. Give j(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-6)\/3 + 84\/3. Calculate the greatest common divisor of b and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + t**2 + 5*t**2)*(-6 + 0*t + 1 - 2*t).\nAnswer: -6*t**3 - 15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 7:36 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-25)*(-5)\/1. Let u be z\/12*8\/(-14). Which is the second biggest value? (a) -3 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/5)*c\/((c*(c*c\/c**(-1\/24)*c)\/c*c*c)\/c)*c**16*c*c**5 assuming c is positive.\nAnswer: c**(2203\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -0.18, 1\/5, 8, 0, 1\/4?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.032 - 0.752. Let m = r + 4.72. Put 5, -0.3, -0.5, m in ascending order.\nAnswer: -0.5, -0.3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 3. Let b(i) = -3*i - 118. Let h(t) = t + 47. Let x(u) = 2*b(u) + 5*h(u). What is l(p) + 4*x(p)?\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**3 - c + 1. Let d be k(1). Let x = -0.0629 - -0.0029. Put x, d, 1 in ascending order.\nAnswer: x, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -1029, 2, 5, -2 in descending order.\nAnswer: 7, 5, 2, -2, -5, -1029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 6*j + 7. Let g(q) = -43*q + 177. Let k be g(4). Let b = 75 - 53. What is the smallest common multiple of x(k) and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 61*l**5 + 249*l**4\/4 - 33*l + 1. Find the third derivative of q(y) wrt y.\nAnswer: 7320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 0*d + 8*d**2 - 2*d + 4*d**2 - 8*d**2 in the form x*d**2 + g + s*d and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 4\/1 + -1. Suppose 355 = 5*s - 5*m, 4*m - 2*m + 210 = g*s. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1383 is divided by 204?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 250, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -108*o**4\/5 + 3348*o**3\/5 - 38916*o**2\/5 + 40204*o - 389344\/5.\nAnswer: -4*(o - 8)*(3*o - 23)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48? (a) 1\/6 (b) -1\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/11 + 1458\/11.\nAnswer: -2*(h - 27)*(h + 27)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -718 * -6.1\nAnswer: 4379.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-2)*4)\/2. Let l = 14 - 18. Let n = -3733\/5 + 746. Which is the closest to -1\/5? (a) l (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 120 = 2*q + 6*v, 3*v - 85 = -q. Solve -q*j + 8 = -72*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25389100 and 1320.\nAnswer: 152334600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 2*h + 2*h)*(-1 - 5 + 4) + h - 6*h - 4*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24727 is divided by 102?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117221446?\nAnswer: 2, 719, 81517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 3. Let i be t(-6). Let o = -64 - -90. Sort o, -5, i in descending order.\nAnswer: o, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l - 21. Let n be h(6). Let w(a) = -a**3 - 2*a**2 - a - 6. Let t be w(-3). List the prime factors of 754\/6 + n\/(27\/t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 16337030985.\nAnswer: 16337030980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1243365.\nAnswer: 3, 5, 82891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 3\/14 (c) 1\/2 (d) 0.8 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94559 + -1985737\/21. Let i = -894\/7 - -128. Let g = 7 - 7.3. What is the closest to 0 in k, g, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a = -21*a. Let m(w) be the second derivative of -1\/6*w**3 + 1\/12*w**4 + 0 - 5*w - 1\/80*w**5 + a*w**2. Let m(x) = 0. Calculate x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838219?\nAnswer: 17, 49307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4735200 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 627103355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 3:38 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 j when four letters picked without replacement from {n: 5, w: 3, j: 3, t: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257610313.\nAnswer: 103, 2501071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmqqqpmpqmmpppmzq. Give prob of sequence zzq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62231257 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56905984 and 5120?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4, -3, -14\/3, -1?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*d**3*i**2 - d*i**2 - 3*d - 55 wrt d.\nAnswer: 504*d*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165 divided by -1.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a kilogram in grams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + (-84)\/(-6) + -7. Suppose 3*x - 3 = o + 7, -4*x + 4*o = 0. Suppose 5*i - 100 = -4*l, s*i + x*l - 40 = l. Which is greater: i or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -26673.\nAnswer: 5\/26673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 24 = 3*g, 0 = -3*i - 4*g - 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - c**2 + 8*c**3 - 44 - 2*c**4 + 45 + 0*c**4 to x*c**2 + i*c + m*c**4 + t*c**3 + a and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**22)\/(n*n**4) assuming n is positive.\nAnswer: n**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 5:15 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3257 - -3824. Solve 457 = -22*u + l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3460 - 12627*s - 1730 - 1730 + 2935*s to the form f*s + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13264547930 from -1.26.\nAnswer: -13264547931.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -2*k**5\/3 + k**4\/24 - 357*k**2. Give p(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -61, -83, -105, -127?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -814 - -814. Let d(t) be the second derivative of -3\/2*t**2 + 0 + x*t**3 + 8*t + 3\/4*t**4. What is the derivative of d(i) wrt i?\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 149, 36, -85, -202, -303, -376, -409, -390?\n\"Answer: 2*d**3 - 16*d**2 - 79*d + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1720 and 53016.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y + 2. Let q(t) = -4*t + 1. What is 6*q(s) - 5*z(s)?\nAnswer: s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 7:35 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42497 and 26152?\nAnswer: 339976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 12 (b) 2\/15 (c) 3\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 12*l**2 - 11*l + 15. Let p be f(11). Suppose -h + 215 = 5*t, 0 = 2*h + h - p. Calculate the remainder when t is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 315*s - 321*s - 10*s**4 + 2 - s**2 + 9*s**4 as v*s + n + f*s**3 + t*s**2 + j*s**4 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1177 divided by -8404\nAnswer: 107\/764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(4 + 1 + 208\/(-32)). Let w(i) be the first derivative of 0*i - 1\/2*i**c + 1. Let j(k) = 3*k. Determine w(j(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2424*m = 2457*m + 198 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -5*v**3\/3 - 205*v**2\/2 - 200*v + 147. Factor f(b).\nAnswer: -5*(b + 1)*(b + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*k = 66*k - 22163344. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56221 by 1.\nAnswer: 56221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 4*h - 7326 = 0. Find the second derivative of -26*w**4 - 407*w**3 - 48*w**4 + 45*w + h*w**3 wrt w.\nAnswer: -888*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**3\/5 - 6*o**2\/5 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 12*q - 27. Let t be s(-8). Let z = t + 240. Let b(l) = -z + 117 - 2*l**2. Let n(y) = 8*y. Give n(b(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27230 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-15) + 6\/(-15). Suppose h = 4*c - 3*j + 6*j - 358, -354 = -4*c - j. What is the highest common factor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -276*q**2 - q + 9. Let v be t(-1). Is -1866\/7 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 422847 and 3861?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37\/55 + -3\/11. What is the closest to q in 6, 2\/5, 3\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 89.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.592 or -0.03?\nAnswer: -0.592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u - 2 - 2 - 1 - u**2. Let o be z(6). Let i = -0.081 + 0.081. Which is the third biggest value? (a) -2\/5 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*m - 62 = 0, 0 = m + 5 - 3. Suppose 5*u = 19 + 21. Calculate the greatest common factor of u and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/627 and -83\/410?\nAnswer: 257070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 7. Calculate s(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 571 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - 11040\/(-336) - (-5)\/84.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n. Let z(w) = 8*w + 4. Let a(p) = 53 - 2*p - 7*p - 58. Let l(x) = -4*a(x) - 5*z(x). Let k(g) = 5*l(g) - 3*o(g). Let i(d) = 53*d**2. Give i(k(c)).\nAnswer: 53*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2077226851.\nAnswer: 7, 19, 822013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - (-58)\/(-10))\/(4\/(-70)). Let v = m - 46. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15635205 is divided by 383.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -12024*k + 1631. What are the prime factors of t(-3)?\nAnswer: 37, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggm when three letters picked without replacement from {f: 1, m: 1, g: 2, s: 1, r: 1, i: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1155*t**4 + 42365*t**2 + 21404174*t.\nAnswer: -13860*t**2 + 84730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*f - 5*f + 75550. Let r = f + -1622. Round r to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 24*b - 31144. Calculate the greatest common factor of 16 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 1. Let n(u) = -u**2 - 5*u - 3. Let j be n(-3). Suppose -j - o = -f - w, 5*f = -4*w + 37. Let c(k) = -k**3 + 6*k**2 - 5*k + 3. Calculate c(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.08, 3, 389, -2, -0.05?\nAnswer: 389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8425 and 45495.\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 114186788\/2129 - 53634. Is j less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**3\/6 - 3*q**2 + 47*q - 53. Let n(u) be the first derivative of p(u). Calculate n(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (4 - 1) + -13 - (-11 + -30).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-19 + 11 - 5*-1). Let t(i) = -x*i - 76*i**2 + 124*i**2 - 47*i**2 + 2*i. Let h(f) = -2*f + 47. What is t(h(u))?\nAnswer: 4*u**2 - 188*u + 2209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -314.2 + 314. Let z = 4.3 - 4. Which is the closest to 4? (a) i (b) -0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -26*n**2 - 7*n + 7. Let p(o) = 22*o**2 + 6*o - 6. Let l(j) = -6*i(j) - 7*p(j). Let f(y) = -1631*y. Calculate f(l(q)).\nAnswer: -3262*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9182?\nAnswer: 2, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 190 + 244. Suppose 3*g - o = -4*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 17 = -2*o + n, 48 = -4*o - 5*n for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1536\/(-32) + 11 - -43 - 46*-2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*x = -4737 + 1657 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.023 + -0.383. Let l = a + 0.268. Let m = l + 0.027. Round m to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9959, 19807, 29655, 39503?\n\"Answer: 9848*q + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-12)*(-176)\/66.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 6 - 4. Let t = -3 + 6. Let h be -3 - (t + -11) - 2. Sort -2, s, h in decreasing order.\nAnswer: h, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, 4, 4\/9, -1.044, 0.09 in ascending order.\nAnswer: -3, -1.044, 0.09, 4\/9, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 6:27 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, g: 13}. Give prob of sequence gigi.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 135883 or -308\/5?\nAnswer: 135883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 39 + -13 - -49.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128693, 128505, 128317, 128129, 127941, 127753?\nAnswer: 127565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 11:29 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1514?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.281, -52, -81?\nAnswer: -0.281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -2342.904 (c) 1\/2 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j = -2*b - 8, 3*b = 15. Suppose -17 - j = -k. Let q = k - 13. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**2\/2 + 13900000*l - 1. Let a be t(0). Round a to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i + 23. Let g be n(6). Let q = 15 + g. Find the second derivative of -61*l - 8*l**3 - 2*l**2 + 2*l**2 + q*l wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4826 + 4826. Let g = 0 + -0.2. Which is the nearest to 3? (a) g (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 11*x - 25. Determine t(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 944529492?\nAnswer: 2, 3, 78710791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/20 + (-480)\/(-225)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 5 + 0 + 6 + -20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60701403.\nAnswer: 3, 7, 1511, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 - s**2 + 20*s - 25. Give g(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-27)\/(-12))\/(3\/40). Let g = z + -19. Suppose -2*y = -4*u - 102, 5*y = 2*y + 5*u + 155. What is the highest common factor of y and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.79754 + 0.2.\nAnswer: -0.59754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 28 = 9*l. Which is the nearest to 6? (a) -2 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 311 = -d + h, 5*d = -4*h + 314. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 828 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 113339022231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 599*o - 2412.\nAnswer: (o - 4)*(o + 603)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/13, -6, -9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1238913, 1238910, 1238907, 1238904, 1238901, 1238898?\nAnswer: 1238895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359176813 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -455 in increasing order.\nAnswer: -455, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1191 + 2670. List the prime factors of c.\nAnswer: 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5440 - 5649. Is -6 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x. Let n(o) = 61*o**2. Calculate n(t(i)).\nAnswer: 549*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -18. Let h = x - 47\/8. Factor -1\/4*t + h*t**2 + 0.\nAnswer: t*(t - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5*x + 11*x - 2.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11064 + 15?\nAnswer: 11079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 9*i**2 + 7*i + 60. Give l(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6*183\/(-6)*(-7)\/(-252) and 3\/(-10)*138\/81.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -4, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1324404 millennia in decades?\nAnswer: 13.24404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-6 + 1 - (2 - 7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Let r = 26.5 - 21.5. What is the nearest to g in 0.1, 1\/2, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*d + 3. Suppose 12*z - 66 - 30 = d. Solve -l - z = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12442404 + -2402?\nAnswer: -13000311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 2019, 6837, 16225, 31707, 54807?\nAnswer: 87049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 9. Let l be v(-12). Let n be ((-1)\/l)\/((-6)\/(-4)). Let z = -5 - -8. Is z greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -101.3336 and -6.\nAnswer: -107.3336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = z. Suppose z*r + 18 - 34 = 0. Suppose 15 + 9 = r*a - p, 0 = 3*a - 5*p - 35. Solve -2 = 3*k - a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30662 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93028 and 1248.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2. Let n(p) be the second derivative of 1\/6*p**3 - p + 0 + 0*p**2. Calculate k(n(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4051 - 2?\nAnswer: 4047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*i - 63. Suppose i*v = -2*v + 1044. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 8*c**2 + 4*c - 3. Let j be x(-7). Let i = j + 349. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 705776*w + 3120 = 705672*w for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 350, 341, 322, 287, 230, 145, 26?\n\"Answer: -p**3 + p**2 - 5*p + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**6*n\/n**(-2)*(n**(1\/2))**(-9))**13)**(-3\/5) assuming n is positive.\nAnswer: n**(507\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87.81 - 83.81. Which is the closest to w? (a) 85\/2 (b) 2\/3 (c) 5 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**4\/4 - 4*p**3 + 5*p**2 + 13*p - 69. Determine u(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4034, 3442, 2848, 2252, 1654, 1054, 452?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-5)*3*-2. Let q(f) = f**3 + 5*f**2 - 8*f. Is q(b) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 250883, 501768, 752653, 1003538, 1254423, 1505308?\n\"Answer: 250885*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/(5\/(-30)). Let l(c) = -c**2 + 34*c - 213. Let r be l(8). Sort r, -27, 2, u in decreasing order.\nAnswer: 2, u, r, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from {i: 1, e: 1, b: 2, w: 1, k: 2, d: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z - 6*z = -44. Which is the smallest value? (a) 3\/13 (b) z (c) 0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-10))\/((-2)\/(-140)). Let i be 58\/(-203) - (-3 - (-556)\/14). Let b = u - i. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 234551\/20 - 11733. Let l = 14573\/8 + -1830. Find the common denominator of l and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0 = 64. Suppose 0 = 9*m + 462 - 2946. Calculate the least common multiple of m and j.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 + 7*h. Let w be (-2)\/(4 - -2)*-9. Let j(u) = -3*u**2 - 13*u + 1. Let z(p) = w*j(p) + 5*x(p). Factor z(f).\nAnswer: (f - 3)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11\/51, -27, 1, -3\/4, -0.2, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 779 and 1767551.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 448 + -448.0106. Let n = r - 0.0894. Is 895 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - r - 25. Let w be i(0). Let p = -23 - w. Suppose -a = -t - p*a - 1, -2*t + 2*a = -6. Let f(z) = -16*z**3 + 2*z**2 - 2*z + 1. Calculate f(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203680 divided by 304\nAnswer: -670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 + 4*b**2 - 21*b**3 + 20*b**3 + 2 - 7 + 6 + 8*b**4 to the form o*b**2 + q*b**3 + t + l*b + f*b**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -214299 and 58.\nAnswer: -12429342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46977?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -605, -2\/5, 0.3, -1, 89?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29819 - 29819.04. What is the third smallest value in 2\/5, d, -30\/13, -2, 1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2180993016754 and -0.12.\nAnswer: 2180993016753.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*m**2 - 34*m**3 - 3*m**3 + 93*m**2 - 40*m**3 + 38*m**2 wrt m?\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1*2\/12)\/((-4)\/(-624696))?\nAnswer: 26029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsebfsebwwewbqe. What is prob of picking 1 w, 1 q, and 1 b?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 - 3) - (699 + -674)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75060.\nAnswer: 2, 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 2*m - m, -q + 2*m + 1 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + f**2 + 3)*(-2 - 1 - f**2 - 1) + 2262*f**4 - 122*f**4 + 1569*f**4 to the form m*f**2 + l*f + h*f**4 + w*f**3 + p and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a week in hours?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 486\/567*7\/(-11)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03565 rounded to three dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -4\/33, -0.4, -4 in descending order.\nAnswer: -4\/33, -0.4, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 divided by -6?\nAnswer: -71\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 6:01 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*i + 15*i**3 + 245*i - 59*i**3 + 9*i**3 - 489*i + 5*i**3.\nAnswer: -30*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(441) - (sqrt(441) + sqrt(441) + sqrt(441)*-3))*3 + sqrt(441))\/(sqrt(189)\/sqrt(3) - sqrt(14)\/sqrt(2)*-4))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17963 - 17908. Solve -m*o = -54*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m - 22. Let z be o(12). Let p = z - -7. Is (-16144)\/(-24) - (-3)\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from caeccaeeeaacca. What is prob of picking 1 c and 1 e?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 126*t - 3. Let g(z) = 130*z**2 + z + 2. Determine g(d(u)).\nAnswer: 2063880*u**2 - 98154*u + 1169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.7708 - 0.7472. Let k = 0.018 + b. Round k to zero decimal places.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7*0.144744.\nAnswer: -0.3908088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60645936?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2975 and 170.\nAnswer: 5950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0.03?\nAnswer: -3.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/16 + 1 + (-3)\/(-1).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -242508*s**2 + 5*s + 2863?\nAnswer: -485016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 604763, 1209521, 1814279?\nAnswer: 2419037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109029662 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2789 (c) 69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.44 - -0.06. Let r = 2 - -3. What is the second biggest value in f, r, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - t**2 + t + 3. Let l be c(0). Solve 0 - 6 = -l*f, -5*j + 2*f = 29 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 190?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -495*t + 371. Is n(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 83*q**2 + 642*q - 33719. Calculate n(86).\nAnswer: -695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7900 = 5*b - 0*b. What is b rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/27)\/(10 + 480\/(-45)))\/1\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21a016b + 40?\nAnswer: 21a01ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2. Let o(w) = 2*w**2 - 3*w - 3. Let g(i) = -1. Let j(f) = 3*g(f) - o(f). Calculate l(j(d)).\nAnswer: 4*d**4 - 12*d**3 + 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 8*d - 13. Let i be s(-9). Which is the nearest to -2? (a) -1 (b) -1\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 661.1, 2\/7, -2\/9, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11703 is divided by 451.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8538*v**3 - 3*v**2 - 17*v + 15?\nAnswer: -51228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z**3 + 4*z**3 + 0*z**3 + (9 - 9 + z)*(7*z**2 - 27*z + 27*z) in the form y*z**2 + i + a*z**3 + w*z and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 112211100 (base 3) to base 2\nAnswer: 10101000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-26)\/((-15)\/21 - -3) and -39\/25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -0.08, -434 in decreasing order.\nAnswer: 1, 0, -0.08, -434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and ((-672)\/(-40))\/((-12)\/(-150)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5*n - 30, -8 = -4*n - 24. Is 4 a factor of (f - 1)*(-20)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3941 + 4038 - (3 + -2 - (2 + -17))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/30 and 31\/1320.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1283 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1934 is divided by 156.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(3)*-3*-1*4.\nAnswer: -60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/121932893 and 15\/143324.\nAnswer: 487731572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57261709\/1098 - 52151. Calculate the common denominator of b and -101\/24.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u + 144 = -5*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 12154\/5 (b) -564 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1991\/3 - 663. Which is the third smallest value? (a) 1 (b) l (c) -0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.106 - -6.006. Let u = r + 1.1. Which is the third smallest value? (a) 0.4 (b) -2\/13 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 3*l + 3*l)*(3 - 3 - l)*(0 + 2 + 0) - 4*l**2 - l**2 + 3*l**2 + 4 - 4 + 2*l**2 + (-l + 3*l + 0*l)*(5*l + 2*l - 6*l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -16*b - 45, -191*b + v - 6 = -188*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/9 - 2*d**3 + 44*d**2\/9 - 64\/9.\nAnswer: 2*(d - 4)**2*(d - 2)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 5*i**2 - 13*i - 30. Give m(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h - 1. Let l(j) be the third derivative of j**5\/15 - 18*j**2 - 5*j. Give b(l(u)).\nAnswer: 20*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 11*c - 38. Give m(12).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96718 and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 3:15 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43599*d**4*w**3 + d**3*w**3 + 4*d*w**2 - 44*w**3 + w**2 + 393*w + 2 wrt d?\nAnswer: -523188*d**2*w**3 + 6*d*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-6 - -1 - -9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzzzzzzzozzl. What is prob of sequence lo?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (0 + -1 - 24). Suppose 0 = 4*u - 5*y + 92, -6*y + y + 38 = -u. Let z = f + u. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 5*p - 4*p. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2730 divided by 455?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2448) + sqrt(2448) + 0)**2 + sqrt(2448) + sqrt(2448) + -3.\nAnswer: 24*sqrt(17) + 9788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h*(h*h**4)\/h*h)\/h))\/h)\/h*h\/h**2)**(-2\/35) assuming h is positive.\nAnswer: h**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + 2*n**3 - n**4 + (-116*n + 51*n + 38*n)*(-52*n**3 + 7135 - 7135) + 2*n**4 - 3*n**4 + 3*n**4.\nAnswer: 1405*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336 and 720.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 15. Sort c, 0.4, -4 in descending order.\nAnswer: 0.4, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - -36. Suppose u + f = 4*u. Calculate the highest common divisor of u and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*(392\/(-14))\/364.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*u**3 + 26*u**3 + 21*u**3 + 26*u**3.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -21*c**2 - 81*c + 19. Let i be f(-4). Let x(t) = 7*t + 13. Let s(w) = -10*w - 19. Determine i*x(p) + 5*s(p).\nAnswer: -p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8*(-1)\/2*-2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 367*p**2 - 25*p - 8. Let m(t) = 122*t**2 - 9*t - 3. What is 4*k(o) - 11*m(o)?\nAnswer: 126*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 9 = a - l, 5*a = -4*l - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90176 is divided by 135?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 10:06 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-4 + -7 - -10) + 3 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/2343 and -98\/13705485?\nAnswer: 150760335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 133*f**3 + f**2 + 29*f - 8. Suppose -41*w = -12*w - 145. Is b(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9*1*(-1)\/(-18)*4. Suppose l*f + 1270 = 5*y, -2*y = -5*y - 4*f + 788. Does 42 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*d - 1140, 593 = -4*d + 2*t + 2107. What are the prime factors of d?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.8 + -21.69. What is d rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612b (base 12) in base 7?\nAnswer: 42515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*x + 22 = 0, 2*x + 9 + 23 = 2*f. Suppose -3*m - 4*m = -f. Suppose 3*w - 19 = 2*g, -3*g - 5 = 1. Put w, m, -2 in decreasing order.\nAnswer: w, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3064730 is divided by 69650.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392*q**3 - 737*q**3 - 101*q**3.\nAnswer: -1230*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-52286)\/(-3) - (-9)\/27. Suppose 0 = -3*g - 7471 - u. Round g to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-185)\/(-222))\/((-3)\/((-9)\/4))*-4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36 - 786408?\nAnswer: -786392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t - t - 5*t)*(5 + 1 - 5 - 1 + 2 - 3 + (-4 + 1 + 5)*(-5 + 2 + 2) - 2 + 2 - 1 - 7 - 36 - 5) + (-1 + 3 + 0)*(-2*t - 3*t + 3*t) as s*t + l and give s.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4386310 divided by -1?\nAnswer: -4386310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -13 - 9) + 15 + -13 + 26?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 46?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3)*3 - -4. Suppose 2*w = 5*k - 831, 4*k = -4*w + 122 + 554. Suppose 4*h = k + 97. What is the greatest common factor of l and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**2 + 3*m - 2. Let v(u) = -10*u**2 + 10*u - 5. Calculate 14*o(t) - 4*v(t).\nAnswer: -2*t**2 + 2*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4781478*c**4 + 9013126 with respect to c.\nAnswer: -19125912*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 0*r - 1\/20*r**5 - 19 + 2\/3*r**3 - 6*r**2 + 5\/16*r**4. Suppose l(i) = 0. Calculate i.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 59339637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 14*h**2 - 9. Let w = -9738 - -9744. Let t(z) = -27*z**2 + 17. Determine w*t(u) + 11*y(u).\nAnswer: -8*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -17*z + 47. Let h be g(16). Let d = 26 - h. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -4, -1\/2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -506 - -510. What is the closest to -5\/3 in t, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6718717 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 29 + 72 = 5*s, s - 28 = 3*u. Let a = -17 + s. Suppose -x + c - 3*c = 66, 4*x - a*c + 274 = 0. Which is bigger: x or -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 35*c**2 + 25*c - 16. Let a(g) = g**3 - 18*g**2 + 12*g - 8. Let t(j) = -5*a(j) + 3*q(j). What is the units digit of t(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2. Let n(o) = -o**3 + 7*o**2 - 5*o + 5. Let a be n(6). Let u be 988\/a - 30\/(-165). Let v(p) = 5*p - u + 90. What is v(h(s))?\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -406, -613?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/5, 4, 1\/7, 14960, 5, -1, -2\/17?\nAnswer: 14960","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5 = -4*s - 2*f, 3*f = -5*s + 40. Solve -q + 13 = -65*i + 60*i, -4*q + 22 = -s*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -3*d - n, 98 = 3*d - 6*n + n. What is the remainder when (3 - 7) + d + 1 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 51, 80, 109, 138?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 18*y**2 - 20*y + 3. Let q be n(19). Let k(m) = -2*m + 5. What is the remainder when (-2 + 6)*(-124)\/q is divided by k(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/3)\/((-1)\/3). Let s = -1.7 + 1.8. Sort g, -0.4, s in descending order.\nAnswer: s, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 (base 6) in base 7?\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4304.185 - 4.185. Which is smaller: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 1161, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1162.917 to the nearest ten.\nAnswer: -1160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 32452.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.8 - -0.2. Let n = q + 0. What is the second smallest value in 0.1, -2\/5, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = -9*z + 87. Let v be z\/(-2) + (0\/(-14))\/5. Calculate the highest common factor of 40 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23452 + -3?\nAnswer: 23448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 276*g**2 + 37*g - 100. Is a(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*t - 2*v, -8*t + 9*t + 5*v + 29 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -3568?\nAnswer: 3571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/23436612 and -8\/15?\nAnswer: 117183060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1400 + 1434312?\nAnswer: 1441212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4281 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10263 + 23782. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.36, 0.1, -0.426242 in ascending order.\nAnswer: -0.426242, 0.1, 0.3, 0.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, c: 6, x: 1, r: 2, p: 2}. Give prob of picking 1 x, 1 p, and 2 r.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(325) + 2 + -2 + sqrt(325) + -2 + 0 - (1 + (sqrt(325) - (sqrt(325) + sqrt(325) + 2 + -5)) + 0))**2.\nAnswer: -360*sqrt(13) + 5922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2 + 49 - 17*c + 0*c**2 + 4*c**2 - 85. Let h be d(20). Solve 10*u = 18*u + h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/35 and -41\/15200?\nAnswer: 106400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**3 + 2*w**2 + 3. Suppose -a + 8 = 2*a + 2*f, f = -a + 3. Let v(y) = 6*y**2 - 3*y**3 - a*y**3 - 4 - 8*y**2 + y**3. What is 3*c(b) + 2*v(b)?\nAnswer: b**3 + 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/5 - (-242838)\/(-157395)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -k - 2*x, -4*k - 53 = -x - 0*x. Let h = 63 + -21. Let a = k + h. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(220)\/(sqrt(605) - sqrt(605)*4 - sqrt(605)).\nAnswer: -sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3843281023 to the power of 1\/4, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -672 + 1698. What are the prime factors of t?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11c421 (base 15) to base 13.\nAnswer: 23a709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 1. Let r(m) = -m**2 + 18*m + 16. Suppose d + 76 = 5*d. Let s be r(d). Determine b(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - -3. Is g greater than or equal to 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 12*l. Let m(g) = -330*g. Calculate h(m(f)).\nAnswer: -3960*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 771775165 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7301, 26885, 59535, 105251, 164033, 235881, 320795?\nAnswer: 418775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/303, 7.06, 5 in descending order.\nAnswer: 7.06, 5, 14\/303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 36*w**2 - 70*w - 890. Let i be l(-35). Solve -14*h + i = 53*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4 - 2 = t, -5*t + 3 = -m. Suppose 2*z + g + 3*g - 50 = t, -95 = -5*z - 4*g. What is the remainder when 116\/(-1 + 4 + -1) is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 151 + -75. Suppose -3*z - 5*j + 86 = -78, 2*z - b = 5*j. Let n = z + -20. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/5)\/(h\/((h**(-1)\/h)\/h))*h**(-5)\/h**(1\/2) assuming h is positive.\nAnswer: h**(-91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 564580?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 40, 52, 66, 82, 100, 120?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271538, 543080, 814622, 1086164, 1357706, 1629248?\nAnswer: 1900790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1165.\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.009691*265.\nAnswer: 2.568115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 372*d - 376*d = -4, 4*r - d + 10 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = q + 4, 19*m = 15*m - 3*q - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 4*w + 34 - 11, -5*w = 4*i - 21 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-224)\/(-48))\/(2\/9). Is (-1690 + j)*1*-1 + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2. Let y(r) be the second derivative of -r**3\/3 - 17*r**2\/2 + 202*r. Calculate z(y(i)).\nAnswer: -4*i**2 - 68*i - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14748059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b - 1. Let w = 121 + -119. Suppose -4*f = 2*u, 4*u - 8 = -2*f - 2. Let i = u + w. Give m(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 2. Let h be p(5). Let d be h\/6*70\/(-4). Solve 3*c = -5*u, 0 = -4*u - u + 4*c - d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/9 - 7\/3 - (-3515)\/3990*-21?\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/595 and 3\/92.\nAnswer: 54740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -183057856 divided by -3572?\nAnswer: 51248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 277 = -271. Let v be (-17)\/6*k - 1\/(-6). Solve -6 = -0*x + v*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 5*p**4\/8 - 14*p**3\/3 - 20*p**2 - 42*p. Let t(s) be the first derivative of n(s). What is the units digit of t(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160893 and 12?\nAnswer: 643572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 705 or 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*l**2 - 5*l**3 - 2*l**4 + 12*l**2 + 48*l**2 in the form n*l**3 + v*l**4 + s + i*l + m*l**2 and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**5\/5 - 43*r**4\/2 - r**3\/3 + 445*r**2\/2 + 2195. Find the third derivative of l(q) wrt q.\nAnswer: 24*q - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64369267 to the power of 1\/2, to the nearest integer?\nAnswer: 8023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45776606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (9 + -14) - -7) + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a9a3 (base 11) to base 2.\nAnswer: 10101011010100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 35*f**2 + 140*f - 639. What is c(-8)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -4, 6 in decreasing order.\nAnswer: 6, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1204 (base 11) to base 15\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1783 - 397. Let l be z\/11 + 2 + (2 - 5). Let t = l + -697\/6. What is the common denominator of 29\/5 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 46 + 94 = 4*x, 3*x - 36 = t. Factor 2\/3*y**4 + 8\/3*y**3 + 0*y + t + 2*y**2.\nAnswer: 2*y**2*(y + 1)*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(156)*1 + sqrt(156) - sqrt(156)) - sqrt(156))\/(sqrt(84)\/(sqrt(7)*2 + sqrt(7) - sqrt(7))).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 198\/(-12)*(-1 + -83). Let i be (-24)\/(-84) + (-424)\/y. Are i and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, l: 3}. What is prob of picking 2 f and 2 l?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-168)\/294)\/(1\/(-6041))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubbblulxrb. Give prob of sequence uu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4 + (-11)\/76. Let g = -336 + 261. Let z be 0 - (g\/20 - 2 - -5). What is the fourth biggest value in z, v, 4, 8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18837934*d*g + 7477*d + g - 24381 wrt g?\nAnswer: -18837934*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 293.32 (c) -4\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from {k: 1, p: 2, f: 2, e: 5, r: 1, s: 2}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/71? (a) -1\/8 (b) 1\/6 (c) -14 (d) -8 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/21)*z**9)**(-1\/11))**(-3\/52))**(-16) assuming z is positive.\nAnswer: z**(-764\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -311, -330, -365, -422, -507, -626?\n\"Answer: -v**3 - 2*v**2 - 6*v - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 189966022 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 190 = -0*r. Let j = -26 - r. Is (-2)\/3 - (-620)\/j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 - 2*r**4 + 4*r**4 + (-3 + 3 + 2*r**2)*(r**2 + r**2 - 3*r**2) to t*r**3 + j*r**4 + z + k*r**2 + m*r and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -80538, -80539, -80540, -80541?\n\"Answer: -v - 80537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 1 = -6*l. Let b be (-10)\/20 - l\/2. Let k(c) = 20*c**2. Give k(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 17 + 3. Let a be 8\/(-10)*s\/8. Let u be 0*a\/4*2. Solve f - 5*f = u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434071 (base 12) to base 16.\nAnswer: 103e55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20122020 (base 3) in base 13?\nAnswer: -2283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.8 + 9. Suppose -4*m + 8 = h, -m + 4*h = 2*m + 13. Let w be 8\/18*(-3)\/(-2). What is the closest to w in s, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 6574 = 25060 + 41984. Is s a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*g - 1413 = 0, 3*g - 1057 = -3*s + 4*g. Let j be 107\/(-44) + 792\/s. Which is the closest to 4? (a) -2\/15 (b) j (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**2 - 218020*a - 2180600 = 0.\nAnswer: -10, 54515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -3810 in ascending order.\nAnswer: -3810, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -925, 3951, 17179, 42935, 85395, 148735, 237131, 354759?\n\"Answer: 696*y**3 + 4*y - 1625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 198 - 394. What is the remainder when (48\/56)\/((-6)\/l) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -s + 19 - 16, 4*l + 13 = s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -34 - (297 - (128 + 41))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7235795 to three decimal places.\nAnswer: -1.724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119350 and 620620.\nAnswer: 3103100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 + 10 = 8*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 70 = -3*m + 2*d, 0 = 2*m + 4*d - 50. Let o = 8 + -4. Let q = m - o. Calculate the greatest common factor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127232789, -127232785, -127232781, -127232777, -127232773, -127232769?\nAnswer: -127232765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 5:02 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*w**3 + 35188*w**2 - 8217226*w.\nAnswer: 60*w + 70376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 0*s - 20. Suppose -5*x + 14 = s. Suppose x*g + 7 = v + 31, -v = 4. What is the lowest common multiple of 12 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/10 and -5\/505439.\nAnswer: 5054390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 49 in 3, 8\/5, 0, 0.03, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.9 - 3.7. Let b = r + 1.8. Let n = 513\/7 - 73. Which is smaller: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((76\/18)\/(-19)*1476\/(-4))\/(-2)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -410 + 415. Suppose -2*p + 1 + 1 = 0, -a*r = -2*p - 9933. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 15 = -2*s + 2, 0 = -s + 5*m + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -224*o*t**3 - 3*o*t**2 - 109*o + 2*t**3 - 2*t**2 wrt t.\nAnswer: -1344*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -26.52. Let p = x + 0.08. Which is the nearest to -0.1? (a) -2\/9 (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4\/7 - 814694*j**3\/7 - 3258860*j**2 - 22812216*j = 0 for j.\nAnswer: -14, 0, 814722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 14*l**2 + 12*l + 19. Suppose -2*f + f + 11 = 0. Calculate the lowest common multiple of q(13) and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(4 + 4 - 1 + 2 - 1 - 2 + (-2 - 1 + 2)*(1 - 3 + 1) + 4 - 3 + 0)*(-4*k**2 + 2*k**2 - 4*k + k).\nAnswer: -16*k**2 - 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = 3*s - 18, 0 = -4*n - 3*s + 60. Let f(o) = -o**2 - 14*o - 34. What is the remainder when n is divided by f(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14922 divided by 4974.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.14 + -8.86. Let a(w) = -w**2 - 4*w + 4. Let h be a(-5). Let l = 24628 + -73886\/3. Sort h, 4, l, s in descending order.\nAnswer: 4, l, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as -26\/6769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -870 = 7*m - 11*m + 3*p, -432 = -2*m + 3*p. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**7\/2520 - v**5\/60 + v**4\/8 + 4*v**2. Let g(d) be the second derivative of y(d). Differentiate g(p) wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -685 - -745. Is i >= 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h + 26. Let q be z(-5). Let d = 323 - q. What are the prime factors of d?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142575 + 259827 = 18291*f for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -214314511879 from -0.01.\nAnswer: 214314511878.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -46 + 33 - 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2730 is divided by 83.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 28*g = 63*g - 79856. Calculate the remainder when g is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24344 divided by 4\nAnswer: -6086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 390 = -5*c, 3*c + g = 5*g + 227. Let s = 2 + c. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i - 16. Let w(y) = y - 1. Let o(q) = 2*c(q) - 6*w(q). Let u be o(-13). Suppose 0 = -u*f - 4*f + 16, n + 2*f = 11. Solve -3 = n*a + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 2453660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z + 7. Let g be a(3). Suppose 4*i = 7 + g. Solve -i*p = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/9 - 2074*y**2 + 24896*y\/3 - 74696\/9 = 0. What is y?\nAnswer: -9337, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 101098.2 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)*c)**(8\/7)\/(((c\/(c**(-7)*c*c))\/c)\/c**(-1\/13)) assuming c is positive.\nAnswer: c**(-66\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*2968\/(-2597)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**2 - 3*c**2 + 3*c**2)*(c - 5*c + c) + (3 - 3 - c**2)*(-2*c + 4*c - c).\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 83019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6221, 6220, 6217, 6212, 6205, 6196?\n\"Answer: -c**2 + 2*c + 6220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51263? (a) 1 (b) 2\/2365 (c) -0.4 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76 - 116) + 5 + (0 - -8) + -4.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 1. Let z(f) be the second derivative of -f**4\/6 - 2*f**3 + 9*f**2\/2 + 472*f. Determine -6*u(j) + z(j).\nAnswer: -2*j**2 - 6*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 172242 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-150)\/500)\/((-2)\/((-104)\/(-6)))?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - (-5 + sqrt(252)*4) - (-3 + sqrt(252)*6 + sqrt(252))) + (sqrt(252) + (2 + sqrt(252))*-1 - (sqrt(252) - -6*(sqrt(252) - sqrt(252)*-1))**2).\nAnswer: -42582 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 - 112*q + 745. Let w be n(6). Do w and 1\/308 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*g - 7*g**3 + 258*g - 562*g.\nAnswer: -7*g**3 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011 - 111010110?\nAnswer: -1000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2255 = -4*k + 2407. Solve -k*t - 1 = -37*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 176*o - 362. Let i be j(6). Is i greater than 695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - -64. List the prime factors of t.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3154 is divided by 127?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -3*y**5\/100 + y**4\/20 + y**3\/10 - 3*y**2\/10 + 2*y + 1. Factor p(i).\nAnswer: -3*(i - 1)**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1497 - 1477. Solve 3*p + 4*y - i = -y, -p + 3*y + 2 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 59, 123, 185, 245, 303, 359?\n\"Answer: -b**2 + 67*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khk when three letters picked without replacement from kkkdhkh?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 614 = -2*i + 6*i + 653, 0 = 4*f + 7*i + 31 + 61 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 426569401 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 4*z + 6, -5*a + 3*z + 20 = -4. Suppose -2*j + 6 = 3*h, 3*j + 2 = -2*h + a*h. Let b(c) = -c**2 + 2*c - 1. What is b(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**5\/20 - z**4\/4 - 3*z**3 + 7*z**2\/2 - 3*z - 188. Calculate h(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84328 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2086\/(-522) - -4)\/(4\/(-606)) and -83\/24.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(5)*2 + -1 - (sqrt(180) + 2))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 541554*-2.\nAnswer: -1083108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -0.76, -5\/6, -3\/4, -1\/2, -24, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*r**2 + 0*r**4 - 4 - r**4 - r**4 - 10*r**2 to g*r**3 + t*r + z*r**2 + i*r**4 + w and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12903334384 and -5.\nAnswer: 12903334379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*v**5 + 4890*v**4 - 17315*v**3 + 6690*v**2 + 5760*v = 0. Calculate v.\nAnswer: -2\/5, 0, 1, 3, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1663271*k - 6653014. Calculate r(-4).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58872, -58937, -59000, -59061?\nAnswer: -59120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*z**4 - 3 + (-8*z**2 + 17 - 17)*(5*z**2 - 2*z**2 - z**2).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9704603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x + x + 5*x**3 + 4*x + x**2 as g*x**3 + v*x**2 + m*x + p and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 197 + -203. Let a(c) = -c**2 - 5*c + 10. Let b be a(w). Solve -4*v = -f - 2*v - 1, -4*f = b*v + 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299691878\/4182 - 3*4\/(-18)?\nAnswer: 71663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 10. Let o(c) = 2*c**2 + 2*c - 2. Let r be o(-2). What is the highest common factor of i and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, q: 13}. Give prob of picking 3 v.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4 - 4732706*k**3 - 23663513*k**2 - 37861612*k - 18930804 = 0. What is k?\nAnswer: -4732701, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t = -7*t - 1848. Calculate the smallest common multiple of 84 and t.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 82*p - 392*p - 125*p.\nAnswer: -599*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2*b - 14, 28 = i + 10*b - 14*b. Solve i = -18*a + 11*a + 56 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (1 - 6) + 11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -3, -2\/1609?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 - 0.24. Let i = t - -0.1. Let c = 0.42 + -0.62. Sort 0, c, i.\nAnswer: c, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2541*y**5 - 513249*y**4 + 521658*y**3 - 175296*y**2 + 19488*y = 0 for y.\nAnswer: -203, 0, 2\/7, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvx when three letters picked without replacement from {v: 12, x: 7}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 1404?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**5\/60 - t**4\/12 - 4*t**2 + 22. Let f(u) be the second derivative of g(u). Give f(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 322*h**4 + 3*h**3 + 6930?\nAnswer: 1288*h**3 + 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 12:39 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -413*t**5 + 19*t + 1?\nAnswer: -8260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 2, 220, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7900.86 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/7*g + 0 + 3\/7*g**2 = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 10 (b) 0.2 (c) 0.4 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**4 - 3228*m**3 - 452868*m**2 - 896068*m - 446424 = 0 for m.\nAnswer: -627, -178, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/131 + 259\/393. Sort 9, -2\/3, o in decreasing order.\nAnswer: 9, o, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-4) - -4) + (4 - 2). What is the third derivative of 4*m**2 + 18*m**5 + 0*m**2 - l*m**2 wrt m?\nAnswer: 1080*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4)\/((-3)\/(-48)*4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 10 = 2*r, -7 = -5*r + 3*r + l. Solve 0 = 5*n + 4*f - 7, -r*n = 2*f - 2 - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/15861661 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1251, 7590, 24131, 55974, 108219, 185966, 294315, 438366?\n\"Answer: 850*y**3 + y**2 + 386*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15977*x**5 - 58778*x wrt x.\nAnswer: 319540*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010 + 2210022011121?\nAnswer: 2210022002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 - 860416*g**3 - 46263707316*g**2 + 647860554936*g.\nAnswer: -4*g*(g - 14)*(g + 107559)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2\/3 (b) 0.2 (c) 2\/5 (d) -2\/145 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 62?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u = 20. Suppose -4*b = 4*d - 115199992, 89890631 = u*d + 2*b - 25309365. Suppose 0 = o + 2*o - d. Round o to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 13*w + 2. Suppose 0 = z + z - 26. Calculate the smallest common multiple of y(z) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 7*o + 16. Let q be w(-11). Let x be (8 + 0)*(-35)\/q. Find the third derivative of -4*j**4 + j**4 + 4*j**4 - 5*j**4 - x*j**2 wrt j.\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.24477631 + -7361130\nAnswer: -7361128.75522369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(-16)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211, 797, 1773, 3139, 4895?\nAnswer: 7041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 10:01 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1033976 by 4.\nAnswer: -258494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5 + 7 = -4*f, -3*d + 31 = -5*f. Let v(b) = b**3 + 7*b**2 + 8*b + 3. Let n be v(f). Suppose 0 = -2*t - 3 + n. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153 plus -0.1?\nAnswer: 1152.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -1108?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101 + -809\/8. Let w = 6.142 - 0.042. Let l = w - 3.1. Sort 0.4, h, l.\nAnswer: h, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(x - x - 8*x - 4*x - 2*x + 4*x + (-3 + 0 + 1)*(x - 2*x + 3*x)).\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975819211?\nAnswer: 19843, 49177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.02 (b) 92 (c) 0 (d) -1\/4 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13917238451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 15, 2*k - 3*h - 139591 = 173560. Round k to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343899624 to the power of 1\/2, to the nearest integer?\nAnswer: 18545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*g**2 + 2 - 65*g**2 - 10 + 2 + 6.\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199, 809, 1831, 3265?\nAnswer: 5111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18 - (-2 - -2)\/1. Let j(l) = -2. Let c(z) = z**3 - z**2 - 18. Let b(f) = w*j(f) - 2*c(f). What is the third derivative of b(t) wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 6*l - 11*l)*((3 - 1 - 4)*(2 + 2 - 2) + 1 - 1 + 3 + (-1 + 1 + 1)*(-2 + 4 + 1)).\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.748539 months in decades?\nAnswer: 0.131237825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23009030 and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*u, 4*u - 7*d + 2*d = -22. Is 358*(0 + u\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-47634)\/(-21) - 7*20\/490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2020 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - -602?\nAnswer: 5b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 7*n**2 - 2*n - 6. Let s be k(8). Let z be 1 + s\/(-7) + 14\/(-49). Solve -5*j - 2*f = z, 3*j + 5*f + 10 = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 20.22937ml?\nAnswer: 0.02022937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -75, -145, -203, -243, -259, -245, -195?\n\"Answer: q**3 - 77*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 2*y**2 + y. Let a be v(2). Suppose 0 = a*h - 0*h. Solve -u + h - 2 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -2, 4, -0.3, -1, -0.65?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -4)\/(-1 + 0). Let p be (2\/4)\/(2\/b). Let h be (-198)\/84 - 1580\/(-553) - -1*(-2 - 0). What is the second biggest value in h, 3\/8, 6, p?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -182 + 184. Suppose c*z - 13088 = -2*s, -15*z + 3*s - 26179 = -19*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1495\/(-46) - -27)*(-9)\/33)\/(10\/(-160)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 818363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 2:01 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87268 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*x - 7. Let b be (2 + -3)*(-1 - -1). Let g = x - b. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010000010110110111 (base 2) to base 7\nAnswer: 2540413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2335*r + 14152. Calculate n(-6).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + -1*(sqrt(931) + (sqrt(931) + 1 - sqrt(931))))*-6 + 3.\nAnswer: -21 + 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 260*f**5 - 18*f**6 + 3546*f**2 - 590*f**5 + 2*f**3 + 19*f**6 - 260*f**5 + 67*f**2 wrt f.\nAnswer: 120*f**3 - 35400*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 <= 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 - l**3 + l**3 + (-3 + 4 - 2)*(-l**3 + 2*l**2 - 2*l**2) + l - 2*l**3 - l + (l**3 - 3*l**3 + 5*l**3)*(1 - 3 + 0).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-11)\/(-22)*(0 + 190)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1569*d = 1704*d - 6615 for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2119 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/960 and 89\/316296.\nAnswer: 12651840","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(5) + -1)*5)**2 + (sqrt(45)*2)**2 + -4)*1.\nAnswer: -1250*sqrt(5) + 3926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3883 and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -986325 or -1?\nAnswer: -986325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -6. Let v = 1 - d. Calculate the remainder when 3 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 times 133986?\nAnswer: -3885594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.3 - -7. Let v be (-2)\/(-5) + (-42)\/80. What is the nearest to -0.1 in v, -0.4, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 2.8, 46140, -1\/4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18759\/(-9126))\/(2\/36)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 + 323)*(0 + 1). Let u = h - 105. Is 35 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 222, 250, 278, 306, 334, 362?\n\"Answer: 28*j + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x + 3. Let d = -1 - -6. Is q(d) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(40 - 3*v**3 + 57 - 114) in the form x*v + s + t*v**2 + o*v**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-4*(sqrt(1700) + -1 + sqrt(1700)))**2 - (2*sqrt(1700) + 5)**2).\nAnswer: -840*sqrt(17) + 101991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71644604 to the power of 1\/3, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -38174306607757 take away -8?\nAnswer: -38174306607749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4 = -6*z. Solve 3*c - 3 = z*s, -c + 4*s + 3 = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15280 and 3056?\nAnswer: 15280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((44\/88)\/(((-392)\/21)\/14))\/(76\/16).\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2067)\/53*6\/(-18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**5\/180 + 7*i**4\/12 + 49*i**3\/2 - 58*i**2. Solve w(z) = 0 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(102)*2 - (sqrt(102)*2*6 - sqrt(102)))\/(sqrt(150) - -3*sqrt(150)*2).\nAnswer: -3*sqrt(17)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3*(-92 - -89). What is the nearest to 1 in o, -7, 7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 2*k**2 - 2*k - 3. Let c be j(-2). Let i be c\/2 + 15\/(-18). Let n be (-1)\/(1\/1 - 2). Which is smaller: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 11*v**2 + 3 - 53*v**2.\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*c**3 + 195*c**3 - 398*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3 = 3. Let f = 2 - d. Suppose -5*o = -10 + f. Solve -o - 3 = -2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o - 8. Suppose 0*b = -5*b + 30. Let l(i) = 0 + 0 - 1 + 2. Let n(m) = b*l(m) + c(m). Find the first derivative of n(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 120\/400 + 167\/10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 248 + -248.06. Let o = 229\/7 - 33. Which is the closest to o? (a) l (b) 0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-115)\/(-35) - (-8)\/(-28). Suppose -t*h + 7*h = 4. Suppose -2*p - h = -23. What is the lowest common multiple of 10 and p?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g + 1. Let r(a) = -10*a - 1. Calculate 3*r(o) + 2*x(o).\nAnswer: -12*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 740961.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 726360 divided by 145272.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 104 = -0*t. Suppose -164*f + 154*f + 470 = 0. Let c = t + f. Calculate the remainder when c is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 248, 518, 540, 314, -160, -882?\n\"Answer: -124*k**2 + 642*k - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**3\/3 + 2*p**2 + 13. Let c be g(-6). Suppose 305 + 127 = c*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5717 and 0.15.\nAnswer: -857.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 8650?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + (208 - 55) - (-2 + (5 - 12))?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 18 + (7 - 1) + 1 + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - u + 1. Let f(v) = -2*v**3 + 5*v**2 - 5*v + 6. Determine -6*d(j) + f(j).\nAnswer: -2*j**3 - j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 89341416 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -14a047?\nAnswer: -14a049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27360 and 5371056.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.16928 (b) -77 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(264)\/sqrt(6) + sqrt(44))*-6)\/sqrt(4) + 4)**2 - 1*(((-1*sqrt(330))\/sqrt(10) - sqrt(33))\/sqrt(3))**2) + -2.\nAnswer: -96*sqrt(11) + 1554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1013.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 920*g + 57404 + 272 - 9620 = -20944 for g.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76\/13953 or 0?\nAnswer: -76\/13953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 r, and 1 c when four letters picked without replacement from aeacaceaaarercaca.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 0, 0 = -3*g + 5*y - y - 6. Let a be 4 + (-9)\/3 - 2. Put -5, a, g, 5 in ascending order.\nAnswer: -5, g, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20866, 2\/23, 0.5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**3 - q**2 - q + 1. Let b be i(1). Suppose 0 = -3*w - b*w + 192. Is 32 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.2 + 25. Let o = i - 2.8. Let q = -0.38 - 0.02. Sort o, 1\/11, q in decreasing order.\nAnswer: o, 1\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**5\/60 + 7*i**4\/24 + 377*i**3\/6 + i**2 + 27*i. Is a(0) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 23070439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -6. Let k(g) = -g + 6. Let r be k(7). Let f be (6\/(-4) - r)\/(-2). Which is the second smallest value? (a) f (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.26406 - 3.07. Round k to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-758)\/(-14) + 2\/(-14). Suppose 2*t + 4*g - u = -0*t, 4*g = 3*t - 61. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/5, -0.4, -18, 0.054, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(99)*-3)\/sqrt(9)*5 - -4*((1*sqrt(11) + -1)**2 + -2).\nAnswer: 40 + 52*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-6)*8\/(-6). Let i(k) = 2 - 8 + 0*k**j + 6*k**2. Let y(d) = -2*d - 4. Let m be y(-5). Let z(x) = -7*x**2 + 7. Give m*i(c) + 5*z(c).\nAnswer: c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -26*s. Let o(k) = -24 + 24 - k. What is g(o(v))?\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66482?\nAnswer: 2, 13, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 - -402?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 - 4*n**3 - 4*n**2 + 4*n**2 + n**2 + n. Suppose 0 = -2*o - 5 + 45. Calculate the smallest common multiple of t(-2) and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7528.\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 16174*s + 48513. Determine x(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282716039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.581653 days in milliseconds?\nAnswer: 50254819.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81467?\nAnswer: 41, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -d8c53 (base 16) to base 12\nAnswer: -3699ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67826 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40935861 to the nearest integer?\nAnswer: 6398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10000001100011 (base 2) to base 12\nAnswer: -496b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20.09 times 0.1\nAnswer: -2.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5 = -2*h, -3*w + h = -2*w + 4. Find the common denominator of -5 - (123\/(-36) - 3) and ((-182)\/2)\/(-3 - w).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1951, 1947, 1943, 1939, 1935, 1931?\nAnswer: 1927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1701)*1)\/(sqrt(700)*4*-4).\nAnswer: -27*sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*q + 8, -12*r + 11*r + 3*q = 4. Find the third derivative of -l**2 - 66 + r*l**3 + 75*l**4 + 20 - 12 wrt l.\nAnswer: 1800*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 56.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*f + 1759 - 2879 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (53 + 0) - (61 + (-18 - 59))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 73*z + 108*z + 26*z**2 - 79*z**2 + 29*z**2 + 881 + 26*z**2 wrt z?\nAnswer: 4*z + 181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13494*r = 2*k - 13499*r + 18, -6*k - 5*r = 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t - 17*t - 52 = -35*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(-3)*z*z)\/z)\/z)\/(z*(z**(-5)*z)\/z))**(1\/5) assuming z is positive.\nAnswer: z**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 22 = 2. Let c(t) = t**3 + 8*t**2 + t + 9. Let v be c(q). Let m = v - 18. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -11*r**2 + 2*r - 1. Let z be n(1). Let x be (-34)\/z + (-2)\/5. Suppose x*b = 3 + 6. Solve -u = -3*a + 11, -2*u + 7 = b*a - 7*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7770, 7829, 7928, 8067, 8246?\nAnswer: 8465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(-2 - (0 + -1)). Let s = 31 + l. Suppose z + 107 = 5*d, -s = -3*d + 3*z + 42. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -744924.1?\nAnswer: 2979696.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2644 - 1404 - 1388)*(-2*x - 2*x + 3*x) as v + a*x and give a.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -16205624?\nAnswer: 16205622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6546*j - 112 = 6542*j - 32*x, 2*j + x = 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-1 - -1)) + -60. Let x be (36\/(-10))\/((-77)\/1265). Let l = x + t. Sort -0.3, l, 7\/4 in descending order.\nAnswer: 7\/4, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58\/9 or 6?\nAnswer: 58\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-555)\/(-74)*1\/((-10)\/(-4)). Suppose -5*d - 28 = a*o + o, -2*o = 4. Let c be 12 - (d\/2 - -1). What is the greatest common factor of 65 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -190\/341, -0.97, 0.1, -0.1.\nAnswer: -0.97, -190\/341, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**2*x**3 + 429165*d**2*x + 131748*d*x**3 - 5*x**3 - 19*x**2 wrt x?\nAnswer: -6*d**2 + 790488*d - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(13) + 1 + -3.\nAnswer: -6 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -4\/13, 150, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 193042380?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 36337 * 3134\nAnswer: 113880158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-22)\/(-6))\/((-5)\/15). Let z(t) = -17*t - 37. Let h be z(-2). Sort q, h, 1, -1.\nAnswer: q, h, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1 - 1) + 10. Suppose 0 = 3*y - 4 - p. Suppose v - 4*w = w + 24, -w = -y*v + 77. Calculate the remainder when 56 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + -2. Let n = -30.4 - s. Sort 2, n, 1\/4 in increasing order.\nAnswer: n, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*10\/15 + -2 - (12 + 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 64. Suppose b + 0*b = 9. What is the remainder when j is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 0*w - 12*w**2 + 0*w - 31*w**2 + 10*w**2. Let d(k) = -77*k**2. Calculate l(d(s)).\nAnswer: -195657*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i = 22. Let d(l) = 2*l + 23. Let r be d(i). Put 3, r, -2 in ascending order.\nAnswer: -2, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 6\/17, 1\/17, -3, 0.06, -0.5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1949 + 3346. What are the prime factors of d?\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 68.1?\nAnswer: -67.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q - 2*q + 0*q)*(4 + 1 - 4) + 0*q - q - q + (2*q + 2 - 2)*(-3 - 2 + 3) + 26*q + 31*q - 63*q to p*q + x and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67603 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 2*p - 10. Let r be d(-5). Suppose 13 = 3*z - r. What is the remainder when 13 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**5\/20 - t**4\/2 + 7*t**3\/6 + t**2 - 2*t. What is the remainder when 34 is divided by h(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2*p**2*w + m**2*p*w + 45*m*p**2 - p**2*w - 119*w with respect to m.\nAnswer: 4*m*p**2*w + 2*m*p*w + 45*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1133134*a*q + a*r**2 - 12*a*r - 26840*a - 75*q*r**2 - 11*r**2 - 2*r with respect to q.\nAnswer: 1133134*a - 75*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-3)\/30*(-5)\/(-2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32224601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1918 + 167*c**2 + 3845 - 1923.\nAnswer: 167*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129 and 344.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -186 - 48?\nAnswer: -1ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.9518964 decades?\nAnswer: 0.09518964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -50, -62, -74, -86?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 + 673467*v - 673467*v.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20879424976 + 79196.\nAnswer: 20879504172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5 (b) 13\/4 (c) -0.4 (d) 9274\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2617 not equal to -2619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -410 - -412. List the prime factors of 23236\/(-111)*(-3)\/h.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*r - 3*z - 0, -4 = -3*r + 2*z. Suppose 3*o + v - 7 = 2*o, r = 3*o - v - 37. Let d = 19 - o. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 - -90. Is 4 - (-936)\/r - (-6)\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/36 + (-20)\/9. Let a be ((-4)\/u)\/((-6)\/(-2)). Let f = -3.2 - -3. Which is smaller: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45485383 or 45485386?\nAnswer: 45485386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, 0.24, 0.1?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4623452630 to the nearest one million.\nAnswer: -4623000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sipi when four letters picked without replacement from {y: 10, p: 3, i: 2, s: 3}?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 684 + 10*k**2 - 684 + 7*k. Suppose -5*i + 2*z - 35 = 0, -20 = 3*i - 5*z + 4*z. Is m(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1116 = 754*r - 763*r. What is the remainder when r is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u, 2*a = -3*u - 58 - 22. Suppose 5*s + 3*q - 197 = 0, -5*q + 205 = s + 4*s. Calculate the remainder when s is divided by (a\/28)\/(1\/(-7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8 = -5*n, 2*n - 4*q + q + 1 = 0. List the prime factors of (3\/6)\/(n\/38).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y + 45*y + 52*y = 153004 - 157702 for y.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175545 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/3)\/((-2)\/6). Suppose -2*v = x + 26 + 31, -93 = 3*v - x. What is the tens digit of -2 - u*v\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2766949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2306768472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*v = z + 36, -2*z - 5*v + 36 = 0. Let a = -17 + z. Let g be a\/(1\/(-2)) - 3. Sort g, -3, 1.\nAnswer: g, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 21839, 21, 3 in ascending order.\nAnswer: 2, 3, 5, 21, 21839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 9:28 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**5\/20 - y**4\/3 - y**3\/6 - y**2\/2 + 8*y. Let p be k(-4). Let h be (p\/(-6))\/((-6)\/(-12)). Is h greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 (base 16) in base 5?\nAnswer: 4222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 51 = -5*v + 74, 3*v - 4*q - 75 = 0. What is the highest common factor of v and 825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1280*j + 4*j**2 + 65*j**2 - 9*j**2 - 2 + 59*j**2.\nAnswer: 119*j**2 - 1280*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 78 in increasing order.\nAnswer: -3, 5, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1193870?\nAnswer: 2, 5, 277, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.609, -0.15, 5, 6\/5, 3\/7 in descending order.\nAnswer: 5, 6\/5, 3\/7, -0.15, -9.609","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 3834656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**4\/3 + 6*a. Let n(w) be the first derivative of w**2\/2 - 1. Give n(p(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 150568.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*q - 4 - 221 = 0. Put 4, -17, q, -10, 2 in ascending order.\nAnswer: -17, -10, 2, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 16 + 8 = 4*l, -17 = -3*d - 5*l. Suppose -d*s - 37 = -453. Suppose 4*j - 72 = -20. Calculate the highest common factor of j and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2515 - -2524. Solve 0 = 5*g - o*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 - u**3 - u**3 + 0*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2381901 is divided by 239.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-7))**(11\/8)*k**(-2\/7)*(k\/k**14)\/k*k)**(-24) assuming k is positive.\nAnswer: k**(3849\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1 - -1) + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Suppose -19 = 5*d + 21. Let s(o) = -o**3 - 7*o**2 + 9*o + 11. Let h be s(d). What is the greatest common factor of h and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 12*q - 16*q + 1079, -3*q + 4*x = -778. Let u = q - 255. Calculate the remainder when 492 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 0 + 9*m**2 - 4\/9*m**3 + 0*m - 16\/315*m**7 - m**4 - 97\/90*m**5 - 2\/5*m**6. Suppose o(f) = 0. What is f?\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 63\/(-6) - (-3)\/2. Let l = -13 - w. What is the third biggest value in l, 0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2590 + -141.23?\nAnswer: -2731.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.4, 3, -2\/193, 4?\nAnswer: -2\/193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -11 - (2 - (-9 + 6) - (-12 + -52))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-16))\/(1 + 847\/(-846)). Suppose x - 4*x + p = 0. Suppose 183 = 6*a - x. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10086537 and 306?\nAnswer: 1028826774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 596*b = -140*b + 95*b - 18589 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 552318307?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 3*h - 3. Let u be n(-4). Let c be u - (-2 - (-23)\/7). Put c, 0.5, -3 in ascending order.\nAnswer: -3, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 6*w**2 + 6*w - 5. Let m be y(-7). Suppose f = -m*f - 42. Let o = f - -31. What is the remainder when 50 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 5, 4, 6, 1, 1382 in increasing order.\nAnswer: -48, 1, 4, 5, 6, 1382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*x - 52*x + 2*p + 15 = 0, 2*p - 3 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -176 + 176. Suppose z + 2*z - 24 = 5*k, q = 2*z + 2*k. Solve h = -4*n - 13, -4*h + 4*n = z*n + 18 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*n - 12, 3*n + 8*o + 2 = 10*o. Solve 13 = x + 4*g, 0 = 3*x + 5*g + n - 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 384*p**5*y + 247*p**3*y - 4*p*y + 67580*p wrt p?\nAnswer: 7680*p**3*y + 1482*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**4\/2 - 25*f**2\/2 = 0.\nAnswer: -5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 7 = -o, -3*r - 123746*o - 14 = -123751*o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3572\/4 - (-5 + (4 - -3)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -q - 32. Let t be (-7888)\/(-28) - (-26)\/91. Let k = q + t. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 5. Let o be (-3)\/6*d - -2. What is the third derivative of 3*x**2 + 2*x**o + 0*x**3 - 5*x**2 wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*r + v + 7, -4*r = -v + 17. Let t = 7 + r. Suppose -t*f + 26 = -25. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68885 - 68880. Suppose -7 = -3*k + 62. Solve k = l*d - 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 - 1.4. Let h = 350 - 352. Let j be 1\/h*-10 + (7 - 12). What is the nearest to -1 in m, j, 13\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65781 + 122806. List the prime factors of n.\nAnswer: 5, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*x - 1697, 483*a = -x + 480*a + 876. Calculate the greatest common factor of 2460 and x.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -433*o - 676. Let l(k) = 244*k + 339. Give 7*l(h) + 4*w(h).\nAnswer: -24*h - 331","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 + 2*n**2 - 3*n**2 + (3 - 2*n - 3)*(6 - 4 - 3)*(-3*n + 3*n + n) + 44*n**2 + 3189*n - 3189*n to q + k*n + i*n**2 and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 + 100210?\nAnswer: 101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32445 and 179529.\nAnswer: 2692935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 - 78*a - 32*a - 53*a - 63*a.\nAnswer: -a**3 - 226*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*f - 9. What is the remainder when 8 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 + 113 - 6*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g + 18*g**2 + 33 - 31 - 1. What is the remainder when b(2) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91*24\/336)\/((-7)\/112*-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 860468*v + 860475*v + 860474*v - 2581416*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 13, j: 3}. Give prob of picking 1 j and 1 n.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 18, 28, 36?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30551453 - 40?\nAnswer: 30551413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31416084\/(-228204))\/(1 + (-10)\/3).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21064 + -8003. Is 37 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6323900 rounded to the nearest 100000?\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.27, 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) 1\/60 (c) 0.5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 280\/112 + 35\/(-15)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*j + 254*j - 23*j**3.\nAnswer: -23*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o + 4*y - 6, 5 = o + y. Suppose -2*d + v - 2 = -17, -o*d = 2*v. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 6*f**2 + 2*f - 31. Let h be q(5). What is the smallest value in h, 0, 0.345?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -449 - 11*o**2 + 449 - 72*o + 72*o. Let n(f) = 6*f - 7. Determine n(z(r)).\nAnswer: -66*r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -3)\/(1\/3). Let j be 13 - k*(-4)\/6. Suppose -4*s = -29 - j. What is the highest common divisor of s and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/2)\/((12\/(-7))\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 66498924 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510495202?\nAnswer: 2, 7, 36463943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 - 6)*(-2)\/(12\/27). Suppose 0 = 66*w - q*w - 714. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpskkskpskss. Give prob of sequence ss.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(136) + sqrt(136)))\/(-5*sqrt(40)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*g - 153 - 7*g - 43*g - 32*g wrt g?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(325)*-2 + sqrt(325) + 4 + -1 + sqrt(325) + 3)**2 + 3.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*a**3 + 1 + (-14 + 14 + 11*a)*(-a + a + 3*a**2) - 4*a**3 + a**3 + 2*a**3 to the form j*a**3 + x + c*a**2 + y*a and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/41, 1\/3, -0.1?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6354.623 millilitres in litres?\nAnswer: 6.354623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1249411?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*g - 4. Let v be ((-490)\/343)\/(1\/(-1 + (-20)\/(-6))). Which is the nearest to g? (a) -0.5 (b) v (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3\/36*2\/(-1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 - 41 - 31 - 327*i - 31 + 2758*i**3 - 2759*i**3.\nAnswer: -i**3 - 327*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l - 1188 = -40*l. Let n = 92 - 5. Is (22\/l - 10\/45)*n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 320848*d + 1925079. Determine l(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/12)\/((-27)\/(-243)))\/((-21)\/8)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(144) + 3*sqrt(144))\/sqrt(3).\nAnswer: -32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 12*b + 12. What is t(-9)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(140)\/sqrt(4)*2)\/(sqrt(35)\/(sqrt(180)\/sqrt(4))))**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254, 241, 214, 167, 94, -11?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*d - 139*d = -6160 + 10672 for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -5, -8, -38, 74, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3 + 52237*p**2 + 682202160*p + 682149924 = 0. Calculate p.\nAnswer: -26118, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -5421866 and 4814358.\nAnswer: -607508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 0) + (-3 - (3 - 10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j - 4. Let p(c) = 5*c + 7. Let t(h) = -3*p(h) - 7*x(h). Let r be t(6). Let v = 1 + r. Solve -2*y + 16 = -3*i, -4*y - v + 16 = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r + 491 = 806 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -13*u**2 + u + 1. Let w be b(3). Let f = w - -57. Let z be f\/(-3) - (-1)\/3. What is the greatest common divisor of 171 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 378777\/5 and 75755 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - (5 + -8)) + 5. Let -16 + 44*m**2 - 80*m**3 + 46*m**4 + 16*m + 61*m**b - 69*m**5 - 2*m**4 = 0. Calculate m.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.209283 and 15097993.\nAnswer: 15097994.209283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x + 1. Let q be m(-2). Let h = q - -39. Find the second derivative of 1 + 442*b**3 - 1 + h*b - 445*b**3 wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1147 + 2244. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 - 20 + 20)*(93*i + 107*i + 161*i)*(4 - 4 + i).\nAnswer: -361*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -192829? (a) 0.2 (b) 4 (c) -1\/85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -47, -2781\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, x: 1, c: 1, f: 1}. What is prob of picking 1 c and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 8.8, 55, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0715499 rounded to 4 dps?\nAnswer: 0.0715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 4*y**2 - 2*y - 6. Let q be m(-4). Suppose -q*n - 50 = -4*n. Let d = n + -15. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 + 70 = -10*h. What is the remainder when h is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*sqrt(152)*-6*3)\/(sqrt(96)\/sqrt(3)*-3*4).\nAnswer: 27*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 3*h = -5*h + 70, 5*c + 45 = 1030*h - 1026*h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1979956 = -5*t + 3533289. Suppose c + t - 5602649 = 0. Round c to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43981, -175917, -395809, -703657, -1099461, -1583221?\nAnswer: -2154937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121526749.\nAnswer: 223, 544963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/9146 and 91\/65560.\nAnswer: 299805880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -1\/12 (b) 0.1 (c) -5\/2 (d) 96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101110 + -1001001010?\nAnswer: -101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 711, 730, 755, 780, 799, 806, 795?\n\"Answer: -a**3 + 9*a**2 - a + 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27570*q - 13787*q - 5*a = 13784*q - 315, 3*q - 5*a + 315 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.5 times 0.3?\nAnswer: 5.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41 or -160334\/3781?\nAnswer: -160334\/3781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 w when three letters picked without replacement from idwviiiw?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*v = h - 120, 3*h - 5*v - 120 = 0. Does 26 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t = -28*t + 140. Suppose t = 11*l - 53. Which is greater: l or 7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448*k + 7160 = 452*k. What is the highest common divisor of 60 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(84)\/(sqrt(300) + sqrt(300) + 2*sqrt(300) + sqrt(300) - sqrt(300)) + 5*(4 + (2*sqrt(7))**2) + -2).\nAnswer: sqrt(7)\/4 + 790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -2\/3 (b) -1081790 (c) 2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -11*p + 11. Give c(9).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 12*d - 13*d - 5*p, -2*p = -12*d + 13*d + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Let s be -84*(-8)\/(-3)*(-1)\/2. Let i be 4\/(s\/(-52)) - -2. Put y, i, -5 in descending order.\nAnswer: y, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5602*c**3*u**3 + 2*c**3*u - 272*c**3 + 2*c wrt u?\nAnswer: 16806*c**3*u**2 + 2*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 196348 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -12*n**3 + 2*n**2 + 2*n + 1. Let w = 7 - 8. Let o be v(w). Let u be 2\/o + 2\/(-13). Solve -18 = -2*d - 5*l, -4*d - 5*l + 16 + 0 = u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*i = -858, 4*a - 6*a + 3*i - 425 = 0. Let k = 257 + a. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 + 4*b**2 + 4*b + 2. Give o(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 8*y + 11. Let v be r(-2). Find the second derivative of 204*h + 18*h**v - 7*h**3 + 30*h wrt h.\nAnswer: 66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77364 and 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14928.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2409, -4822, -7237, -9654, -12073, -14494?\nAnswer: -16917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 w when three letters picked without replacement from wwzwzwwwwwwwwz?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 5*n**4\/4 + 5*n**3\/3 + 60. Factor u(m).\nAnswer: 5*m**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*n + 707 = -221*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3394 + -1851. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/4, -27, -1, 2\/11, 20\/9?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -85, -40, -7, 8, -1?\n\"Answer: -i**3 + 52*i - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g + 1. Let m(c) = 4*c**2. Let z be m(-1). Suppose -z*o = -7*o - 9. Let w be j(o). What is the highest common divisor of 95 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.1, -6, 1\/6 in increasing order.\nAnswer: -6, -3, 0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 64370, 128438, 192194, 255638, 318770, 381590, 444098?\n\"Answer: -156*p**2 + 64536*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/10284033 and -22\/1658715.\nAnswer: 51420165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3282 at most as big as 232946\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 11*s + 12 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478608 is divided by 83.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 610 and 451522.\nAnswer: 2257610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2\/3 + 15130*f\/3 - 188885.\nAnswer: 5*(f - 37)*(f + 3063)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 3*n + 20. Let m be 11\/4*n\/1. Let a(s) = -s. Let w(g) = 6*g. Let h(y) = m*a(y) + 2*w(y). Determine h(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50))**2 + sqrt(2))*3 + 2.\nAnswer: 3*sqrt(2) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -39*c**2 + 81*c + 27. Let s(h) = 3*h**2 - 6*h - 2. Let m(p) = -2*n(p) - 27*s(p). Let d(r) = 79*r**2. Determine m(d(k)).\nAnswer: -18723*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 20326*v + 182905. Determine i(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 738560 (base 10) in base 15?\nAnswer: e8c75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2 = 2*v. Let g(k) = -k + k - 2*k**v. Let u(b) be the third derivative of -b**4\/12 + b**2. Determine u(g(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 182*c**4 + 8942*c**3 + 140760*c**2 + 724000*c + 592000 = 0?\nAnswer: -20, -740\/91, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-162)\/((-5832)\/(-72)))\/(4\/(16\/(-1588)))\nAnswer: 2\/397","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3504670, -3504860, -3505064, -3505288, -3505538, -3505820, -3506140?\nAnswer: -3506504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmuuuuuuuukufakma. Give prob of picking 1 f and 1 m.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -7*q**2 + 2*q - 1. Let d be m(0). Suppose 3*r = -4 - 2. Let c be (3 - 26100000) + d + r. What is c rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -9. Let s = b + -12. Let g = s + 11. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -63*u + 0 - 6 + 38*u. Let v(z) = -1349*z - 323. Let j(n) = 323*h(n) - 6*v(n). Let i(w) = 2*w**2. Determine i(j(t)).\nAnswer: 722*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22742830 rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-9)*(-51)\/595*49?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 4:44 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -131, -239, -373, -539, -743?\nAnswer: -991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11109 = -76*b + 7*b. Calculate the remainder when b is divided by 158.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/60 and 103\/174750.\nAnswer: 349500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*k + 18, 0*g - 13 = g - 5*k. Suppose 66*z - 78 + 540 = 0. Sort z, g, -2\/7 in decreasing order.\nAnswer: g, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -500*b + 277*b - 7*b**2 + 69 + 223*b.\nAnswer: -7*b**2 + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/11 (b) 0 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -5*d + 0*d**4 + 0*d**2 + 0*d**6 - 1\/3*d**3 + 5\/42*d**7 + 0*d**5 + 0. Find the second derivative of f(w) wrt w.\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -28 + 4. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624160493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85004, 2, 1 in increasing order.\nAnswer: -85004, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 76*b - 171*b - 14 = -83*b, -4*b + 9 = 2*o - 3 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 31728*f**3 + 3*f**2 - 17*f + 16. Let y be u(1). What is y rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1571699248*u*x - 956000099*u wrt x?\nAnswer: -1571699248*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - 2)\/1 + 0. Suppose 3*a - 2*x - 3*x = -29, -4*a - 58 = 3*x. Let m be 8\/(-52) + 50\/a. Sort m, -2, v in ascending order.\nAnswer: m, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 89*n + 161. Give g(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -325*t**2 - 6*t + 4. Let y(h) = -655*h**2 - 14*h + 10. Determine 5*f(k) - 2*y(k).\nAnswer: -315*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -818677\/143 - -5725. Which is greater: b or 2\/57?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((2 - 6) + 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 15, -2 in increasing order.\nAnswer: -4, -2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 - 19. Let y = 186 + m. What is the highest common factor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -6 - (-8 + 4). Solve 5*o = -2*d + 12, l*o = -4*o - 5*d + 13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/1104*27\/(-45).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.362 * 0.2.\nAnswer: 2.2724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 5*c = -4*w - 21, c = -5*w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -180*h**6*j + 3*h**3*j**3 + 32*h**2 + 7*h*j**3 wrt h.\nAnswer: -21600*h**3*j + 18*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14830 - -14830. Solve -65*y + 88*y + 23 = j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -1\/2, -47, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 17*s**2 - 28*s - 133. Let r be h(-18). Solve -4*o + 5*c + 18 = r, 3*c - 10 = -5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1360 (base 14) to base 3\nAnswer: 11200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6560 = 4*c, 0 = 5*c + 3*x + 9529 - 1346. Let u be c - (5 - 2)\/3. What is u rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 835, 3340, 7519, 13378, 20923?\n\"Answer: n**3 + 831*n**2 + 5*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - d + 6*d)*(-5 - 4*d + 5) + 4*d**2 - 29*d + 29*d.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 171 = -77. Let g = -219 - d. Calculate the greatest common factor of 58 and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99122 is divided by 99091.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**27)\/(q**(1\/5)\/q))\/((q*q**(14\/11))\/q*q*q**11\/q*q*q) assuming q is positive.\nAnswer: q**(799\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 734 = 4*z, -221 - 501 = -4*z + x. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-24)*-4*3 - 4. Let j be x\/(-7) + (-1 - (5 + -4)). Is j greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1470305.\nAnswer: 5, 157, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 4*h - 10 = 0. Suppose 3*n + 2*a - 76 = -n, 0 = -h*n + 5*a + 26. Calculate the lowest common multiple of n and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 10*p**2 - 16*p + 1. Calculate v(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 5*t - 6. Let x be y(7). Let r(c) = 12*c - 4. Let i be r(x). Suppose 0 = -b - 3*z + 18, 5*b - 14 = z + i. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - w = -12, 2*m + 0*m - w = 9. What is the third derivative of -m*s**4 + 2*s**6 + 3*s**4 + 0*s**2 - s**2 wrt s?\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine fifths of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -30*n**2 - 2183*n + 523. Determine x(-73).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 0. Let x = -3 + t. Suppose 0 = 2*a + 2*j - 100, -35 = -a - 0*a + x*j. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**5\/4 - 40*b**4\/3 + 5*b**3\/6 + 80*b**2 + 1533*b. Let z(i) = 0. What is i?\nAnswer: -32, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 16*p**2 + 8*p - 13. Let s be m(6). Let z = s + -68. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**3 + 30*y**2 + 25*y - 18. Calculate z(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000326720976 to 5 dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*r + 4*k, -4*k = -3*r - 17 + 37. What is the third smallest value in 121, -0.2, r?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15100622.\nAnswer: 2, 7550311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50 + -510279?\nAnswer: -510319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1105 + 1105. Solve g = 2*f - a + 4, 5*f - 4*a + 10 = -a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**5 - 14*o**2 + 2*o - 228 wrt o.\nAnswer: 60*o**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 268, 498, 702, 874, 1008?\nAnswer: 1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*k - 284, p - 2*k + k - 142 = 0. Suppose -p = 4*r + 54. Is (-2415)\/r - (-4)\/(-14) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*q = 79115, 2*g - 9*q + 8*q - 31649 = 0. Is g a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 + 93. Suppose 5*t = s + 23. Suppose t*p - 21 = -3. Which is the third smallest value? (a) p (b) -0.3 (c) -0.1 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.3 + 13. What is the closest to -2\/3 in i, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174975.071299 - 159\nAnswer: 174816.071299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.200008 rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1754864 and 11459?\nAnswer: 12284048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573999 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-9))\/(2 + -6). Let g(d) be the first derivative of -1\/9*d**4 + 2\/15*d**5 - 4\/27*d**3 - 2\/9*d + f*d**2 + 3 - 1\/27*d**6. Factor g(v).\nAnswer: -2*(v - 1)**4*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -164 + 163.911. Let k = d - 1.499. Round k to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 0) + 5 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 2*sqrt(2057) - sqrt(2057))**2*-4 + 1 - ((-6*(sqrt(2057) + 3 + sqrt(2057)))**2 - ((sqrt(2057)*2 - sqrt(2057)) + 4)))*6.\nAnswer: -1828626 - 29502*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 2, -1, 36, 102, 17 in decreasing order.\nAnswer: 102, 36, 17, 2, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -251.82 - 243522695?\nAnswer: -243522946.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 64.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32*2*(-687)\/(-6). Let v = b - 146497\/20. Find the common denominator of 43\/12 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + j + 30, -u - 7*j - 23725 + 23530 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - u = 2*z - 26, u = -35*z + 16*z + 15 + 32 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137*y**4 + 1 + 140*y**4 + 7*y**3 + y**2 - y**2 to the form s*y**4 + p*y + r + h*y**3 + t*y**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a**(1\/29))*a*a**42*a assuming a is positive.\nAnswer: a**(1275\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i = -9. Suppose -i*f + 99 = 3*t, 3*t = -5*f - 0*t + 169. What is the greatest common divisor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vduqrpu. What is prob of sequence uudp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 94585, 94580, 94571, 94558, 94541, 94520, 94495?\n\"Answer: -2*k**2 + k + 94586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 97 - 8 = -5*z, 4272*z - 4268*z + 52 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 61*u + 1. Let y be k(3). Is ((-3)\/(-2))\/(4\/y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2253 divide 22257009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*b - 20, 2*l = -3*b + 6 - 1. Suppose -o = -5*q - 843, -5*q + 0*q - b = 0. Suppose 4*h = -h + 3*m + 1061, -4*h + o = 3*m. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(112)\/sqrt(4))\/sqrt(4))**2 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - a - 6. Let b be y(0). Let i be 32\/b*((-210)\/(-4))\/(-7). Suppose -134 = -2*c - i. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 55977*m - 335839. Calculate j(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 145.7797.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -13. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 5*w**4\/6 - 5*w. Let r(o) = 2*o. Calculate r(g(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48\/7 in -2\/5, -32, 0.2, -0.05?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i = 0. Suppose 4*l + 0*l = 0. What is the derivative of -o + i - o + l*o + 3 wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(-1*sqrt(3)))\/(sqrt(12)\/sqrt(100)).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*k - k - k + 0*k - 100 + 100 - 20*k + (-3 + 1 + 0)*(2*k + 0*k + 0*k).\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -14. Let j be -22 + 39 - 3*(0 + h). What is the third derivative of j*s**6 + 14*s**2 - 2040*s + 2040*s wrt s?\nAnswer: 1680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 668167999?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 412534 - 2002?\nAnswer: 410532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 39 = 5. Suppose -13*c + f*c = -10. Suppose i + 49 = 5*q - 0*i, 29 = q - c*i. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -68*n**2 - 94*n + 94*n - 52*n**2. Let b(h) = -12*h + 1. Let d(v) = 85*v - 7. Let f(a) = -7*b(a) - d(a). Determine f(o(t)).\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(204)*-1 - sqrt(204))*-1)\/(sqrt(192) - (sqrt(192) - (sqrt(192) + 3*sqrt(192)))).\nAnswer: -sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*y = -34*y - 120 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/112 and -115\/112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -31*q - 18. Let y = 38 + -22. Let f be w(y). Let u = -6686\/13 - f. Is u != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 2)*26 + 1. Let x = -18 - y. Solve 5*w = -3*d - 21, -2*w - 3*d = -x*w - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2781\/1236*(-4)\/1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 - 360*b + 65)*(3*b + 3*b - b)*(-b + 2*b - 3*b).\nAnswer: 3600*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13092 divided by -6\nAnswer: 2182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p**2 - 15*p**2 + 2*p**2 + 0*p**2 - 94*p - 65*p to the form h*p + x*p**2 + q and give h.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 188\/36 + 24\/(-108). What are the prime factors of (-3577)\/21*(-3 + 0\/b)?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 4)*(11*y + 76*y - 2*y)*((-1 + 3 - 3)*(-3 + 4 - 3) - 3 - 4 + 8) in the form a + c*y and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -393182 or 59?\nAnswer: -393182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.79, 0.008, 5?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9197987.30773 - 9198050. Let b = 7.30768 - j. Let q = b + -70. Round q to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 1 + 3, 3*o = 5*k + 28. Let c = -1444.6 + 1445. What is the third smallest value in -2\/17, c, -0.5, k?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u + 0*u - 2*u)*(2*u - 2*u - 2*u + 2*u + 2*u - 3*u + (-2*u + u + 0*u)*(-4 - 2 + 4) - 4 - 3*u + 4 + (u - 3*u + 0*u)*(-3 + 4 - 5)).\nAnswer: -54*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-30))\/((-5)\/25)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11323 - 1488?\nAnswer: -12822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 11*p = 372. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 4) + 3 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 920448 and 620024?\nAnswer: 89283456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5171 or -677263\/131?\nAnswer: -677263\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 1. Let u be k(-6). Let x be 0 - 0 - u\/(-1). Let p(v) be the second derivative of v**4\/12 + 7*v**3\/6 - 2*v**2 + 8*v. Give p(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 74 = 5*q + 2*r - r + 2*r, -3*r - 148 - 64 = -23*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1554*w - 916372 = -719014 for w.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 0*i**2 + 19 - 4*i**2 - 7*i**2 + 51*i + 20*i**2. Is s(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 85\/3 (b) 1\/10 (c) -2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from smriimssrids.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100.7 - 9504.\nAnswer: -9403.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4\/8 + 3)\/((-3)\/(-66)) is divided by (-5)\/20 + -6*(-27)\/8?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533235*v + 0*v**2 - 4*v**2 + 533235*v.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 6. Let c be b(-5). Let z be c\/(4\/3) - 4. Let p be 7 - 7 - z*3. Solve -4*k = -2*w - 0*w - 26, -k - p*w = 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 18*b + 57. Let o be j(-23). Let w = o - -610. Is w a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-16 - -18) + 2 + -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/11, -9 in decreasing order.\nAnswer: 2\/11, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 24 + 31. Suppose 7*m = q*m - 20. Solve -p - 4*u - 9 = 0, -m*p - 2*u = -0*u + 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*s - 1. Let u(o) = o + 1. Let m = -12 + 17. Calculate the least common multiple of u(m) and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuusuuuuuus. Give prob of picking 2 u and 1 s.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + t**2 - t - 1. Let b = -9 - -11. Suppose m = -b*w, 0 = -2*m - 2*m - 4*w. Determine u(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*p**5 + 30*p**2 - 11 wrt p.\nAnswer: 2100*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(175) + 1)**2.\nAnswer: 30*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b + 19*b - 69955 = 159404. What is the thousands digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -32*n + 13. Let d(v) = 63*v - 28. Let k(m) = -6*d(m) - 13*r(m). Calculate k(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0*a + a - 124, -144 = r + 3*a. Which is smaller: r or -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57433927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5284, 10571, 15858, 21145, 26432?\nAnswer: 31719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*l + 279*l = 1301860. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n - 2. Let x(j) = j**3 - 4*j**2 + 5*j - 4. Let k = -2 + 5. Let y be x(k). Give f(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m**3)\/m))**(2\/45)\/(m**(2\/7))**(-16) assuming m is positive.\nAnswer: m**(1412\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + -6 + 41 + -26 + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 78021 (base 9) to base 16\nAnswer: ca42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -355, -370, -409, -484, -607, -790?\n\"Answer: -2*h**3 - h - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 218011 a multiple of 732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0 = 5*q + 12, q = 0. Let w be (-6)\/(-8) - b\/(-12). Let d = -579\/1562 - -1\/142. Which is bigger: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 96 = 5*t + 26, 3*a + 9 = 2*t. Let p be (-50399997)\/t + (-2)\/8. Round p to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15483 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ietejjhaetehae. Give prob of sequence teah.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*26\/39)\/(104\/(-24)). Which is the closest to 1? (a) -0.2 (b) 66 (c) v (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 758643891.\nAnswer: 3, 23, 163, 67453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = 22*a - 7689. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49628 and 103132.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -10 - (-1 + 2 + (3 - 4))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5640 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24294 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 863174 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2795709251?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l + l - 5*l - 2*l + 2. Let t be j(5). Is t > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-150)\/100*76\/12)\/((-3)\/24*2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 18*y**2 + 63*y - 32. Let s(b) = b**3 - 18*b**2 - 65*b + 32. Let a(x) = 3*d(x) + 2*s(x). What is the units digit of a(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -aa6516 + 52?\nAnswer: -aa6474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**6\/4 + 153*j**5\/10 + 39*j**4\/2 + 1214. Determine u, given that f(u) = 0.\nAnswer: -1, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 - 13 = -3*m, -2*m + 22 = -5*j. Let k be (1 + 0 + 2)\/m. Solve 3*z + 6 = 4*y, -k*y - z - 3*z = -17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 10:10 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 15868*v + 222544.\nAnswer: -2*(v - 7948)*(v + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-21 - 11) + 51 + (-60 - 3)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 3:46 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -254900 rounded to the nearest one thousand?\nAnswer: -255000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4462 + 4346 + 2*g - 8617)*(-6*g**2 + 4 - 4).\nAnswer: -12*g**3 - 1146*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 + 4 = 0. What is the third derivative of 4*h**6 - 2*h**6 + 0*h**6 - h**2 - 3*h**x wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 42 + (13 - 36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365 divided by 6.\nAnswer: -365\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*k - 2. Let c = k - -10. Let y be ((-16)\/c)\/((-2)\/6). Solve 4*a + y*z + 28 = 0, -3*a - z = 3*z + 25 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + 0.2. Suppose -2*t = -2 - 4. Suppose -s + 4 = -w + 3, -2*w - 3 = -t*s. Sort -5, s, q in decreasing order.\nAnswer: s, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -2*w + 5*j, 0 = 5*w - 11*w + 5*j - 65 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268 - 602*z**3 - 10662*z + 2875*z**3 + 268 + 10662*z.\nAnswer: 2273*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 18 = -0*u + 2*r, -3*r = -3*u + 15. Suppose 3*x + u = 2*w - 57, -3*w - 2*x = -117. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*v + 2, 0 = 3*v + 5*i - 0 + 8. Suppose 3*g = 4*g - 6. Let w be g\/(-9) - 34\/(-60). Which is greater: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-64)*(-19)\/((-95)\/(-320))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.5 + 21.405. Let h = d - -0.095. What is the fourth smallest value in 3, -1, h, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -22*z + 17*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 7*p**2 + 8*p + 4. Let a be w(-8). Let t(m) = 26*m**2 + 6*m - 13. Is t(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -22 (c) -0.007 (d) -3 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2154157 is divided by 937?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9942, 39767, 89476, 159069, 248546, 357907, 487152?\nAnswer: 636281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 1043, 3666, 8773, 17192, 29751, 47278, 70601?\nAnswer: 100548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + 7*p - 4. Let b be n(-4). Suppose b*s + 5*o = -3*s - 5, 0 = 5*s + 5*o - 5. Solve -x + 4 = -2*x - s*r, 0 = 2*x + r + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1726*p - 2617*p + 1436*p.\nAnswer: 545*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3\/9 - 520*r**2\/9 + 5456*r\/3 + 3872.\nAnswer: 4*(r - 66)**2*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 25*o + 20. What is a(-24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -aa38 - -7?\nAnswer: -aa31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5)*m*m**(-1)*m)**17\/(m\/(m*m\/(m**(1\/3)\/m))*m\/m**(3\/4)*m)**15 assuming m is positive.\nAnswer: m**(329\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.021 + -1.021. Let m be 1 - (-7)\/(21\/18). Put m, -5, t in ascending order.\nAnswer: -5, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 11381664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000488628532 rounded to 7 decimal places?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135.081 hours to seconds.\nAnswer: 486291.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 86569943 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008255 rounded to six dps?\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 1:58 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 3*f - 4. Let m(a) = -a**2 - a - 3. Let p be m(0). Let r be u(p). What is the biggest value in 0, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**2 + 7*n + 15. Give p(-5).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179 or 0.1?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnujdjdnnnjnjjjnjj. Give prob of picking 1 d and 1 u.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -153306, -3, -8.66 in decreasing order.\nAnswer: -3, -8.66, -153306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 16. Which is the smallest value? (a) 4\/7 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -9*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -97, -6, 3 in decreasing order.\nAnswer: 3, 1, -4, -6, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 1661 - 3529. What are the prime factors of x?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = 2*g, 4*s + 2*g = -g - 6. Let v be ((-48)\/18 - -6)\/((-11)\/s). Suppose -3*z = z. Which is greater: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 69530.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8848c (base 15) to base 6.\nAnswer: -13140440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - n = -33. Suppose -n*i + 141 = -3. Let v(m) = m**2 - 3. What is the remainder when i is divided by v(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3260 plus -630167?\nAnswer: -633427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/15*1*5. Let v be -3*(a - 16\/6). Suppose -v*z - 45 = -3*z. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o + 30*o - 220 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, -3\/8, 5, -1 in descending order.\nAnswer: 71, 5, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 21 = 8*l. Let x be (3\/l)\/(1\/3). Suppose -2 = -2*n, -6 = 3*m + n - 16. Is m greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/269, -4\/3, 1, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(13)*1 + 3 + -5)**2 + -5.\nAnswer: -4*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 670177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 2*t - 5*t - 986, 5*i - 4*t - 988 = 0. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -10. Solve -2 = 5*g + 13, -2*r + 1 = -k*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2458444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 8:14 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -10*j - 39. Let n(d) = -4*d. Calculate n(s(y)).\nAnswer: 40*y + 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 10*d**3 - 24*d**2 - 34*d = 0.\nAnswer: -1, 0, 17\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -39. Let y be (-1)\/(-4)*-3 + (-17)\/68. Let h be (-74)\/(-30) + 2\/(-3). Which is the second biggest value? (a) q (b) h (c) y (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 338*q + 1699. Calculate y(-5).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * -493.4691.\nAnswer: 296.08146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 62*c + 2064. Calculate h(-33).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2124 less than -2124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaqqqaajjqaa. What is prob of sequence qqja?\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 11*s**2 + 385*s + 2690. Determine n(-7).\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5 - 19*c + 40*c - 23*c. Let a(d) = -7*d + 14. Let l(u) = 6*a(u) - 17*j(u). Calculate the remainder when 183 is divided by l(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25113?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 3*v**4\/4 - 582*v**3 + 126144*v**2 + 511584*v + 7675. Factor m(l).\nAnswer: 3*(l - 292)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9\/8*v**3 - 3\/8*v**5 + 0 - 9\/8*v**4 + 0*v - 3\/8*v**2 = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**4\/4 + 2*g**3\/3 + g**2\/2 + g - 3. What is the remainder when 42 is divided by d(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/476 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 17*x**3 - 52. Let i(f) = -6*f**3 + 17. Let p(q) = 11*i(q) + 4*l(q). Find the first derivative of p(m) wrt m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335\/931568*44*-6*(-8)\/30?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -694438.68181 from 0.256.\nAnswer: 694438.93781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8105.\nAnswer: 5, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 19*m**2 - 54*m + 17. Give l(-5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5457*s**4 - 5*s**3 + 6*s - 4*s - 4*s - 2*s**3 - 5462*s**4 in the form r*s**4 + u*s**3 + b*s + p*s**2 + h and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 398.742 + -7658538\nAnswer: -7658139.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (7 - 5 - (13 - 7))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 5*m**2 + m - 5. Let u = 18 + -11. Is v(u) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t + 11. Let k(z) = -5*z - 24. Calculate -4*k(o) - 9*s(o).\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 319077, 319076, 319075, 319074, 319073?\nAnswer: 319072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 10*w - 10*w - 2*w**2 + 25*w**2 - 3*w.\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98256459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 4*d**2 + 6*d - 4. Let f be h(5). Let b(l) = 149*l**3 - l + 1. Is b(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2151.09 + 2987.2755. Let v = -836 + k. What is v rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100538432 to the power of 1\/2, to the nearest integer?\nAnswer: 10027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (-6 - (3 - -2 - 3))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17264 is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9 and 0.046?\nAnswer: 9.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28140085, -56280161, -84420237, -112560313?\nAnswer: -140700389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l - 11. Let z(v) = v**2 - 7*v + 6. Let w be z(5). Let g(j) = 2 - 17*j - 4 + 18*j. Calculate w*m(f) + 22*g(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 77 - 5*l - 7*l - 76 - 95 + 246.\nAnswer: -11*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/3*24\/10. Suppose 2*m + s = 3*s + l, 5*m - 2*s - 17 = 0. What is the units digit of m\/9*3*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20640 and 75852?\nAnswer: 3034080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - (10 - (23 + -21 + 12)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**8\/4 + m**4\/12 + 10*m. What is the third derivative of q(p) wrt p?\nAnswer: 1680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 2816\nAnswer: -2812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 18. Let n be 1*-26*k\/(-10). Is n >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttvtvtttttttttt. Give prob of sequence vttv.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124 + 2144125?\nAnswer: 2144253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.392 + 27186237?\nAnswer: 27186249.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18480273*-0.03\nAnswer: -554408.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = 5*m. Let f be (0\/4)\/(m - 0). What are the prime factors of -1 - (-24 - f\/1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) -343 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -10*y**2. Let z(d) = -289*d**2. Calculate k(z(t)).\nAnswer: -835210*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187445700?\nAnswer: 2, 3, 5, 13, 37, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 - 5*h**2 + h**3 + 0*h**2 - 1 - 6*h. What is the remainder when 25 is divided by q(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 24 = -0*j. Find the second derivative of -j + 5 - u + 7*u**2 + 0*u wrt u.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7967160735 less than -0.2?\nAnswer: -7967160735.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4bb - 7982?\nAnswer: -7483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 7\/2*z - z**2 + 2 = 0.\nAnswer: -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 6. Suppose 0 = 5*z - 4*k - 6, z + c*z = 5*k + 5. Differentiate z + 1 - 2 - g wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-8) - (-1794)\/(-1104).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*w**4 - 168*w - w**3 + 169*w + w**2 - 5*w**2 as h*w**2 + l + r*w**3 + u*w**4 + x*w and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/3*26376\/1256\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/2094, 35\/404.\nAnswer: -1\/2094, 35\/404, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t**0\/t*t))\/t)\/t)\/t)**22*(t*t**(2\/3)*t*t)\/t**3 assuming t is positive.\nAnswer: t**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = x + 485. Let j = 678\/7 - x. Let u be (6\/(-4))\/((-57)\/(-190)). Which is the second smallest value? (a) -4 (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g**2 - 167*g - 884. Calculate w(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*s + 15, 0 = 4*s - 0*x - x - 8. Solve -4*p + 3 + s = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4632, 0, 11 in ascending order.\nAnswer: 0, 11, 4632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 5*t - 5*t + (-1 + 3 + 0)*(2*t + 0 + 0))*(0 + 1 - 4)*(-t - 4*t - t).\nAnswer: 108*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2\/3 - 3480842*j - 9087195771723 = 0.\nAnswer: -5221263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/(-84) - 3\/7. Suppose d - 17 = -l*d. Find the third derivative of 0*g**3 + 0*g**3 - 17*g**4 + 0*g**3 - d*g**2 wrt g.\nAnswer: -408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 5:50 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1 + (1 + 3 - 2)*(-3 + 5 - 1))*(22*k**3 + 7*k**3 + 143*k**3).\nAnswer: 516*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43335 - -1?\nAnswer: -43334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010001 (base 2) to base 13.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/(-49) - (-30)\/7. Suppose 4*p = 2*p + 4*x + 28, 5*p - 52 = l*x. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/2*(26\/(-104))\/((-15)\/(-4))\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/18 + 356\/(-576)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -256220459 to the nearest one hundred thousand.\nAnswer: -256200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16187852?\nAnswer: 2, 4046963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q + 222. Let a(x) = -16*x + 23*x - 7*x - 2*x**2. Calculate h(a(r)).\nAnswer: 4*r**2 + 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -17. Let j(g) = u*g - 4*g + 4*g - 4*g. Let c(i) = -2*i. Give c(j(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/4*-2 - 2034358139\/10640. Let w = g + 191202. Calculate the common denominator of -35\/18 and w.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14164, -14143, -14116, -14083?\n\"Answer: 3*o**2 + 12*o - 14179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + 5 + 49\/(-7). Solve 4*l + 0*o = -3*o + 1, -w*l - 4*o - 8 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1050 - 679. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 234.38999 - 234.24. Let j = f + -0.15. What is j rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -25. Let s = -55 - d. Calculate the common denominator of (7 + -9)*s\/(-12) and 7\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*v - 10. Let p be 3 - 2\/(0 - 2). Suppose -5*z + v*b + 5 = -27, -p*b + 24 = z. Solve h - z = 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52371327*1.\nAnswer: 52371327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-22)\/r)**41\/(r\/(r*(r**(-28)*r)\/r*r*r*r)*(r\/(r**(-1\/4)\/r*r))\/r) assuming r is positive.\nAnswer: r**(-3873\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -832, 10\/9, -4\/17 in descending order.\nAnswer: 10\/9, 0.1, -4\/17, -832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475392224 a multiple of 3409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 5 + 5)*(c + 0*c - 5*c)*(3 - 4 + 3).\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -8. Let u = 16.822 - 0.722. Let y = u - p. What is the second biggest value in 0.4, -0.01, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*k - 8. Let n be (-11)\/(-4) + (-3)\/k. Solve n*d + 2 = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1213 + -1211. Solve f - 2*h = -2, 5*h = p*f + 4 + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxd when three letters picked without replacement from {d: 1, a: 1, l: 2, x: 1, h: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*s. Solve s*p + 1 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, w: 10}. What is prob of picking 4 l?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**3 + 15*t**3 - t**3 - 29*t**3.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 13464.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5528 and 658523.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -15, -1\/2, 37\/63, 7, 1\/9, -5\/2?\nAnswer: 37\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261855?\nAnswer: 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 34 = -3*t, 4*t + 2*x + 40 = 6*x. Let c be (((-12)\/t)\/(-1))\/3*-66. Let h be (2 - 5)\/(-1)*1 + c. What is the highest common factor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 173*u**2 - 178*u - 117. Find the first derivative of s(w) wrt w.\nAnswer: 346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43930170 a multiple of 314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 88088373 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352019?\nAnswer: 17, 20707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 240, 2, 5, -3, 557, -2, 0 in ascending order.\nAnswer: -3, -2, 0, 2, 5, 240, 557","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*-12*2\/(-9). Let o = g - 0. Let d be (o\/6)\/(10\/(-45)). Solve 0 = w - d*w - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -208*k**3 + 65*k. Let v(z) = -19*z**3 + 6*z. Give 6*j(n) - 65*v(n).\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r**3 - 1318 + 1318.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 662.314 + -661.914. Let j = 2.92 - -0.08. What is the closest to -1\/3 in 2\/11, -0.4, j, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*f*i**2*q + 472*f*i**2 - 26096*f*i*q - 115*f + 7*i**2*q - i**2 wrt i.\nAnswer: 50*f*q + 944*f + 14*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 31. Suppose -3*i + 4*i + 3*l = -8, -g*i - 3*l = -4. Determine d, given that 1\/2*d**i - 1\/2*d**5 + 1\/2*d**3 + 0 - 1\/2*d**2 + 0*d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -488 - -819. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168908099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(245) + -3.\nAnswer: -3 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 39 + 2 = g + 2*l, -5*l = -g - 173 + 240 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 2*s**3\/3 - 9*s**2 + 28*s + 73. Factor y(o).\nAnswer: 2*(o - 7)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) 4 (c) -0.35372 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*g = -d - 160*g - 4, 8 = -d - 3*g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142\/3 - 48. Let n = 7167 - 7234. Which is smaller: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -19. Let h be (8\/60)\/((-5)\/(50\/(-8))). Which is the closest to 0.1? (a) 3 (b) h (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101110011111001 (base 2) to base 7\nAnswer: -126251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 2*m**3 - 3*m**3)*(29*m**2 + 2*m + 9*m**2 + m**2 + 2*m**2 + 1 - 1 + (m - 4 + 4)*(-4*m + 2*m + 4*m)).\nAnswer: 43*m**5 + 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 319418 to the power of 1\/2, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14559, -14556, -14553?\n\"Answer: 3*x - 14562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 24*r**3 - 170*r**2 - 26*r + 233. Give s(7).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 199728394*x**5 - 29637262*x**2 wrt x?\nAnswer: 11983703640*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*p + 18 = 0, m - p = -0*m - 2. Suppose 3*o + 4*u - 2 = 0, 4*u = -o - o + 4. Let l = m - o. What is the highest common factor of 6 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 4:07 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*f + 3476 = 58*f + 80*f - 162*f for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*r**3*u + 254*r**3 - 2*r**2*u - 1882*u + 6 wrt r?\nAnswer: -12*r**2*u + 762*r**2 - 4*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7374559 and 899?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 40*z + 75. Give y(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/2)*s)**(-1\/15)*(s\/s**(3\/2))**(-20\/9))**(9\/7) assuming s is positive.\nAnswer: s**(17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34738 is divided by 1735.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 10 = 3*o, 3*r + 5*o = 2. Let u = r + -19. Let t = -4 - u. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 3\/8, -4\/3, 246\/7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 4\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/4 - 48*r**3 + 3072*r**2 - 65536*r.\nAnswer: r*(r - 64)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*k**6*l**2 - 274038*k**4*r - 2*k**2*l*r + 560*k**2 - 2*k*l**2*r + 61*l*r wrt k?\nAnswer: 840*k**3*l**2 - 6576912*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/3 - 4*q**3\/3 - 8*q**2 - 28*q\/3 - 10\/3.\nAnswer: 2*(q - 5)*(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09171 + 0.67.\nAnswer: 0.76171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -4, -4114, 5 in descending order.\nAnswer: 49, 5, -4, -4114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvdddddddvvddddddvvd. What is prob of picking 3 v and 1 d?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18004381.88211133 - 18004382. Let z = j - 15.88207433. Let x = 16 + z. What is x rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(44) + 2)*-1.\nAnswer: -10*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 371479487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, 9 in ascending order.\nAnswer: -6, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1331) + -1 - sqrt(1331)) + sqrt(1331) - sqrt(1331)) + -6*-2*sqrt(1331) + 1.\nAnswer: -2 + 132*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 17*j**2 + 201 - 194 - 10*j**2 + 0*j**2 + j**2 as g*j**2 + m + l*j and give g.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 2*r**2 - r - 3. Let h be g(3). Suppose 5*j - p = -h + 7, -2*j + 2*p = -8. Solve 2*v - 7*v = j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 319412388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (253*w**4 - 93*w**4 + 156*w**4 + (2 - 2*w - 2)*(4*w**3 - 4*w**3 + 2*w**3))*(-7 - 1 + 4) to the form r*w + g + m*w**2 + u*w**3 + b*w**4 and give b.\nAnswer: -1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by 1.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1073 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + o. Let s be u(1). Suppose i + 55 = s*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + sqrt(363) + 1 + sqrt(363) + sqrt(363)))**2.\nAnswer: -9504*sqrt(3) + 118188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 62618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6)**(1\/2) assuming g is positive.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.00435? (a) 4 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((496\/5)\/(-4))\/((2684\/(-385) - -7)*14).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 210947 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 689.44\nAnswer: 206.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*-3*sqrt(28)*-1)\/(sqrt(8)\/(sqrt(8)\/sqrt(4)) - sqrt(4) - (sqrt(16)\/sqrt(324) + sqrt(4))).\nAnswer: 135*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(2*q**3 + 87*q**2 - 87*q**2 + (q**2 - 4*q**2 + 2*q**2)*(5*q - 7 + 7) - q**3 + 0*q**3 - q**3).\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f - 2. Suppose 2*p + 4*v - 4 = f, 0 = -4*v - 4. Suppose -3*q = -p*q. Solve -2*d + 5*d + 12 = q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*i + 40*i = -42*i - 40 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3863.4 to the nearest one hundred.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 9. Suppose v - 5*s = -14, 2*v - q*s + 13 = -0*s. Solve 2*i + 4 = -0*i, -5*i = -3*u + v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 5*y - y)*(-1 + 0 - 1)*(-y + 19*y + 65*y).\nAnswer: 664*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*r + i = -12, r + i - 3 = 0. Let a = -25 + 25. Find the second derivative of a*z + 2*z**5 - z - 3*z**r wrt z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33.999962 + 34. Round p to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 + 109. Let u = 55 - t. Let m = -15.7 + u. Which is the third smallest value? (a) m (b) 2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/1100 and -83\/20.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 4*z + 3 = -11, 3*v - 5*z - 2 - 10 + 1 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1001 + 54. What are the prime factors of x?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(-2*p + 0*p - 5*p) + 0*p - p + 0*p + (-3 + 4 - 3)*(0*p - 4*p + 3*p) + 3*p - 5 + 5 to the form n*p + t and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/(-5092)*335*(-12)\/(-117).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3166 is divided by 96?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.189 - -130.811. Let p = -122 + m. Which is the second biggest value? (a) 3 (b) 0.4 (c) -2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105*m**2 + 1 + 5*m**3 - 214*m**2 + 107*m**2)*(-2 + 1 - 2)*(m - 7*m - 9*m).\nAnswer: 225*m**4 - 90*m**3 + 45*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 780476*c**3 + 2286*c**2 + 10*c + 1?\nAnswer: 4682856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 - 50*t - 51.\nAnswer: (t - 51)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*f + 34*f = -85*f + 3549 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 289 - 85. Let q = 30 + -18. Calculate the greatest common factor of q and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 150 - 145. Suppose -t*x - 4*n = -975 + 361, 0 = -5*x - 2*n + 622. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - ac55d4?\nAnswer: -ac55d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -24. Let l = -9 - v. Sort -5, l, 5.\nAnswer: -5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 5*f + 5*f + (-1 + 1 + 2*f)*(-1 + 1 + 4))*(0 + 0 - 2*f)*(3*f + 5*f - 4*f).\nAnswer: -48*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 r, and 1 j when three letters picked without replacement from gtrrjg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and (-1839)\/(-39) + (-40)\/260.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 2*g - 10)*(0*g - g - 4 + 1).\nAnswer: -2*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118449.\nAnswer: 3, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*d + 2*d - 631, 10 = 5*d. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from vdvvddhmhdhhh.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = z + 3*g, -4*z + 0*z = -g - 480. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -5, -1, 7, 19, 35?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*f - 11. Suppose 0 = 33*j - 112 - 20. Put -3, j, 28, f in descending order.\nAnswer: 28, f, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*x = 48*x + d + 9, -3*x = 2*d + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 336504 > 336534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021023339 to seven dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13947189635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 21*f**3 + 8*f. Let k(m) = 14*m**3 + 5*m. Let h(t) = 3*t**2 - 35*t + 86. Let r be h(3). Give r*k(y) - 5*v(y).\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 429 + -382. What is the remainder when l is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 12 = 0, 0*k - k - 3 = 2*z. Let h(u) = -u - 8. Let g be h(z). Which is smaller: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 + 7*m + 22. Let l(d) = 3*d**2 - 15*d - 44. Let u(k) = -3*l(k) - 5*r(k). Give u(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 - 1)*(a**2 - 5*a**2 + 3*a**2) - 1009*a - 640*a - 9*a**2 + 135*a in the form k*a + c*a**2 + l and give k.\nAnswer: -1514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 951.6675 centuries in millennia?\nAnswer: 95.16675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d = -5464 - 44957. What is the highest common factor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = 48*h - 18 + 2. Let b = 3 + -5. Let n = b + 2.1. What is the nearest to 0.03 in h, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -13. Let z be (222\/4)\/(39\/(-24) - b). Let k = z + -102. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8*k - 3. Suppose 4*c = -c + 65. Calculate the remainder when q(5) is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 18280 = -18136 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3305 - 12355 = -18*t. Calculate the highest common divisor of 60 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**2 - 5. Let o(s) = -5*s**2 - 6. Let q = 41 - 29. Suppose 4*y + 3*v = -q, 2*y + v = 2*v - 16. Calculate y*a(m) + 5*o(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 + q**2 - 3*q**2 + (0 - q + 0)*(-3 + 3 - 2*q) + 16*q**2 + 0*q**2 - q**2.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 5*c + 5*u, 5*c + 136171*u + 338 = 136145*u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48, -103, -168, -249, -352, -483?\n\"Answer: -n**3 + n**2 - 51*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -956 = -7*c - 1019. Let b(j) = j**3 + 10*j**2 + 9*j + 7. Give b(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32322 (base 7) to base 6.\nAnswer: -101140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1205*u**3 - 661*u**3 - 512*u**3.\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1744.95 - 1745. Let t be ((-3)\/6)\/((-2)\/(-4)). Let w be (7 - 1)\/2 + 1. Sort s, w, t.\nAnswer: t, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5730\/(-764)*8\/4710?\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(832) + 2 - sqrt(832) - sqrt(832))*-1 + 4)**2*-4.\nAnswer: -3364 + 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1593 <= -1593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -233 - -463\/2. Put 10, z, -4 in decreasing order.\nAnswer: 10, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 220*z - 678.\nAnswer: 2*(z - 3)*(z + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 5*f + 4. Let s(v) = -2*v**2 + 11*v + 7. Let g(h) = 13*i(h) - 6*s(h). Let o be g(0). Let d(w) = w - 10. Give d(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 - -12. Let b = -30 + i. What is the remainder when 3\/6 + b\/(-4) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/2290660?\nAnswer: -3\/2290660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 6, n = 3*v - 0*n + 136. Let d = -43 - v. Suppose -d*r - 35 + 80 = 0. What is the least common multiple of r and 33?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 j when four letters picked without replacement from {j: 2, u: 17}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.873 minus 1358.37?\nAnswer: -1360.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/5931292 and 49\/1488.\nAnswer: 71175504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-248)\/(-12) + 31\/93. Solve 12 = s*r - 17*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -199518?\nAnswer: 199506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-1\/12)*u*u*u**(-8\/5)*u**4\/u*u**(-1\/8))**(6\/7) assuming u is positive.\nAnswer: u**(643\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 583591 at most as big as 0.048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/((-242)\/4598)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523498?\nAnswer: 2, 17, 89, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -973*v - 800*v - 390*v + 1274*v - 2.\nAnswer: -889*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 3, a: 8, i: 2, h: 7}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -57621390 rounded to the nearest 100000?\nAnswer: -57600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - 6*(5 + sqrt(637)) - (2 + -5 + sqrt(637)))**2.\nAnswer: 2268*sqrt(13) + 23661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*v + 10978 = 4*r + 213*v, 2713 = r - 5*v. Calculate the greatest common factor of 18 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**5\/60 + 7*u**4\/24 + 7*u**3\/6 - 165*u**2. Calculate q(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 24*j**2 - 2*j**3 - 15*j**2 - 7*j**2 - 3*j - 2 to the form u + l*j**3 + f*j + v*j**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 2*u - 31*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 1 = -2*d, -5*d + 16 = -5*l + 4*l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 247*y**2 + 27911*y + 22. Calculate l(-113).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*v, -5*v = -2*f - 3*f + 30. Let j be f + (-10)\/(-1) + 0 + 1. Determine w so that 26*w**2 - 6*w + 5 - w**2 - j*w - 10*w**3 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*g = 54, -2*x = -5*g - 36 - 12. Let t = -8 + x. Factor -3*h**3 + 15*h + t - 6*h + 0.\nAnswer: -3*(h - 2)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163, 35\/9, -32 in descending order.\nAnswer: 35\/9, -32, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 948306.7531 + -948250. Let t = 0.0469 + x. Let o = t + -67. What is o rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*v - 4*w - 19, -12 = 4*v + 4*w. Is v less than -939\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**3\/7 - 226*b**2\/7 + 7584*b\/7 - 11160 = 0.\nAnswer: 21, 30, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 1. Let d be (1 + -2 - -1)*1. Let m(i) = 2*i + 17. Calculate the remainder when m(d) is divided by j(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1510\/(-19630))\/(3\/143)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4))**(-46))**(-2\/11)*((n\/(n*n*n**(8\/5)))\/(n**5*n))**(2\/89) assuming n is positive.\nAnswer: n**(-11181\/4895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -68*o**2 + 2. Let z(x) be the second derivative of 19*x**3\/6 - 7426*x. Give z(v(w)).\nAnswer: -1292*w**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1574 is divided by 79.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1087107 is divided by 1107?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19019 and 3003.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 724 - 626. Let y = 142 + -119. Calculate the remainder when l is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2938*q + 3*d + 9 = -2942*q, 3*d + 3 = -3*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*v + 65 - 7*v - 14*v)*(v - 2*v**4 - v) - 61*v**5 + 56*v**5 + 85*v**5.\nAnswer: 84*v**5 - 130*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 5:13 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 4*r - 5*r)*(-2*r - 2*r + 2*r) - 13*r - 7*r**2 + 13*r + (-3*r + 2*r - r)*(-r - 4*r + r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/45 and -68\/135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + s**2 + s + 1. Let y(u) = 87*u + 2475. Let n be y(-29). Let i(t) = 80*t**3 + 48*t**2 + 48*t + 48. Determine n*f(a) + i(a).\nAnswer: 32*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) + sqrt(252)\/(2*sqrt(7)))*5)\/(((sqrt(144) - (-1*sqrt(144) - sqrt(144)))*3)\/sqrt(12)).\nAnswer: 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4781 and 1638.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**4 - 1545696*l**2 - 2368615?\nAnswer: -8*l**3 - 3091392*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*a**3 - 128*a + 9256 wrt a.\nAnswer: -42*a**2 - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 243064039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*w**5 - 45*w**4 + 75*w**3 + 45*w**2 + 6*w = 0. What is w?\nAnswer: -1, -1\/3, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to -244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-69)\/((-966)\/(-35))*(-2)\/(-5). Sort 0, -287, 3, l in decreasing order.\nAnswer: 3, 0, l, -287","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 8*x**2 + x - 5. Let t be i(8). Suppose -2 = 5*g + t, 3*l - 10 = 4*g. What is the first derivative of 2 + 0*m**2 + m**l + 0*m**2 wrt m?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 23 = -2*z, 3*z - j + 0*j = 33. Let n be ((-6)\/(-15))\/(2\/z). Suppose -13*o - 60 = -17*o. Solve -n*r - o = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 223\/35910 and -43\/546.\nAnswer: 466830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -70632.77 and 168551.\nAnswer: 97918.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 20 = -2*z, -30 - 15 = -5*z - 5*t. Let o(a) = 31*a + 23. Is 10 a factor of o(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 33\/2. Let g(w) be the second derivative of -3\/4*w**4 - 3\/2*w**2 + 0 + 3*w + b*w**3 + 3\/20*w**5. Find a such that g(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1905)\/254*1\/(6\/(-8)). Solve 13*n = 8*n + g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2371*a*f**4 + 79*a*f - 2032468*a wrt f.\nAnswer: 9484*a*f**3 + 79*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 l when four letters picked without replacement from tntlltttntllt?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-6))\/(3 + (-192)\/63). Suppose -u*h + 5 = -100. What is the common denominator of 89\/8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83*a**2*y**2 - 9*a**2 - 936520*a + 5323*y with respect to y.\nAnswer: -166*a**2*y + 5323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -19, -68, -1, 8333 in decreasing order.\nAnswer: 8333, -1, -2, -19, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 6 - 4)*(2 + 0*k**2 + 0*k**2 - 2*k**2).\nAnswer: 14*k**2 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from {o: 2, a: 4, p: 1, h: 2, z: 4, l: 2}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 143 = -147. What is the remainder when 491 is divided by g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 29*k - 3*k**3 + 0*k**3 + k**2 - 28*k + k**2 to p*k**2 + x*k**3 + c + f*k and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 3*j + 43 - 61 to a*j + r and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2393321528 take away 3?\nAnswer: 2393321525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22372, -44745, -67118, -89491?\nAnswer: -111864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/((-9)\/3)*(-27)\/(-81).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -1\/4, -42, -1, 3\/7?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360*c + 77328 = 376*c. List the prime factors of c.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 5 = 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/66378 and -35\/114.\nAnswer: 1261182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 6*n**2 - 8*n + 14. Let b be q(7). Suppose 2*w + 4*s + 10 = 0, -4*s - 32 = -w - b. Suppose -w*v + 25 = 10. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 12) to base 6\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.502574 and 202.471868.\nAnswer: 200.969294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164303 is divided by 77.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 - 182 - -100 - (51 + (2 - 3))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -733, 1148, 4283, 8672?\nAnswer: 14315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -207 (base 14) in base 5?\nAnswer: -3044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2214 + 35373\/16. Find the common denominator of -1\/40 and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 391434*p - 515142 wrt p.\nAnswer: 391434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 5, -60, -4 in descending order.\nAnswer: 6, 5, -1, -4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10465279713 and -300.\nAnswer: -10465280013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imt when three letters picked without replacement from tgiim.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 404?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2576 - -2780. What is the greatest common divisor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from {q: 1, t: 1, r: 1, g: 2, o: 2, k: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*h - 34. Let z(x) = x**2 - 8*x + 9. What is z(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 494976 divided by -64.\nAnswer: -7734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/63 + 193\/63 + -3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*n + 38. Let t be (-295)\/(-20) + 2\/8. What is the highest common factor of t and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**2*y**2 - 139*a**2*y + 2*a*y - 485338*y**2 + 172*y - 1 wrt y?\nAnswer: 6*a**2 - 970676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-107835)\/(-1185)*(-30)\/(-70)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -181.991772 to 0 decimal places.\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1277 divide 87031334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/140*(-30)\/8.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b + 15. Let r be x(6). Suppose 0 = -r*f + 16 - 82. Let w = f - -21. Is w equal to 1\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -453758, -907520, -1361286, -1815056, -2268830?\nAnswer: -2722608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*z**2 + 361*z**2 - 261*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 4:43 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(17) + 1 + -4 - ((sqrt(136) - -4*(sqrt(136) + -1*sqrt(136) + sqrt(136))) + sqrt(136))\/sqrt(8))**2.\nAnswer: -20*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*r = 14, -3*c - r + 6 = 2*r. Suppose -6*n + 5*n = -14. Is (15\/c)\/1*n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3, 1\/9, 0.7, -0.3, -388 in descending order.\nAnswer: 0.7, 1\/9, -0.3, -0.4, -3, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33010 + 194?\nAnswer: 33204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -15, -2, 169, -4.\nAnswer: -15, -5, -4, -2, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65.98 - 67.542. Which is the third biggest value? (a) -1 (b) d (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**4 + 0*l + 10 - 13 + 3*l**2 - 2*l in the form i + b*l**4 + d*l**2 + a*l**3 + v*l and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**5 + 5*u**5 - 7*u**5 + 6*u**3 + (2*u**4 + 3*u**4 - 4*u**4)*(-u + 0 + 0).\nAnswer: -3*u**5 + 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*c + 5*c. Let b(g) be the third derivative of 1\/40*g**6 + 1\/80*g**5 + 0 - 1\/48*g**4 - g**2 + 1\/120*g**7 + 0*g + 0*g**c. Factor b(h).\nAnswer: h*(h + 1)**2*(7*h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 3*w + 7*w**2 - w.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 541 - 420. Let q = -121.3 + z. Which is the smallest value? (a) 2\/9 (b) 0.4 (c) q (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.28 and 0.3.\nAnswer: -0.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 4*j**2 - j. Let r be f(3). Let m be (30\/20)\/(r\/8). Suppose -n = -5*g + 144, -m*n + n = g - 24. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12695200 rounded to the nearest 10000?\nAnswer: 12700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2426752 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: Solve 5*p = -3*z + 85, 58*p = 61*p + 5*z - 115 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 8, 8, 6, 2, -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 331248973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2808 divided by -13.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 994153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 21*x + 1330. Give q(-62).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/15)\/(1738\/582 - 3) and -20\/23.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*s - 88. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + 7 - 7)*(2*n**2 + 139 - 139 - 450*n).\nAnswer: -6*n**5 + 1350*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.4376, -564, -5?\nAnswer: -564","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*(-9)\/3*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/6321 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 10 = 20. Find the second derivative of -c**2 + 8*c**2 - 22*c + 11*c**m - c**2 wrt c.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 2*d + 5, -4*l + 9*d - 6*d - 3 = 0. Suppose -22 - 23 = -l*f. Calculate the greatest common factor of 135 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 9*f**2 - 70*f - 733. Determine i(-10).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (37\/(-7) - -4). Let c(v) = 9*v**2 - 4*v + 6. Let l be c(-5). Let h = -2763\/11 + l. What is the closest to n in 2, h, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139250 <= 835499\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 11 = 5. Is 13 a factor of (n - 1)*(-26)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -12, 0, 4, 29.\nAnswer: -12, -8, 0, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7862*m - 7889*m = -378 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 408.999469 + -409. What is l rounded to five decimal places?\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 + 41. Let h(o) = o**3 - 2*o**2 + 4*o - 2. Give h(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-32))\/k**24*(k\/k**(-14))**28 assuming k is positive.\nAnswer: k**429","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*((sqrt(99) + -5*sqrt(99))**2 + ((4 + sqrt(11))*1)**2).\nAnswer: 48*sqrt(11) + 9661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -278*r. Let n(u) = -2*u**2. Determine o(n(m)).\nAnswer: 556*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 10*r + 11. Let h(s) = s**2 + 4*s + 3. Let g be h(-5). Let f be m(g). Let l = f + -19. Calculate the remainder when 13 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43462411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1363, 2730, 4097?\n\"Answer: 1367*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*o + 27, 3*w = 4*o - 31 + 5. Let 5\/3*z**3 + 2\/3*z**2 + 0*z - 2\/3*z**4 + 0 - 5\/3*z**o = 0. Calculate z.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l = -2. Suppose -28 = -4*k + 5*r, 3*r + 8 = -k - 2. Factor -p - 3*p**3 - 6*p**l - p + 2*p**3 - k*p**4 - 5*p**3.\nAnswer: -2*p*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + r**3 + 2*r**4 - 3*r**3 + (-2*r**2 - 4*r**2 + 4*r**2)*(-4*r**2 + 6*r**2 + 2*r**2) + 2*r**3 - 2*r**3 - r**4.\nAnswer: -7*r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.5, -3, -0.06, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -341 + 344. Solve s*f - f - 2*i = -4, -2*f - 3*i = -11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 136 - 195a?\nAnswer: -1824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*m*o + 61036510*c*m - 88667*c*o**2 + c - 46*m*o**2 wrt o?\nAnswer: -177334*c - 92*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 2. Suppose -40 = -r*b + 4. Let q(x) = -43*x**3 - x**2 + x + 1. Calculate the remainder when q(-1) is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 89 = -9*x + 2*r, -5*x = r - 83. Let f = x + 19. Let n = 72 - f. Calculate the greatest common divisor of 90 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*x - 83*x = 97*x + 283680. Is -3944 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 6 = -8*o + j, 5*j - 60 = -4*o. What is the smallest common multiple of 802 and o?\nAnswer: 4010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 1:15 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3 - 3362*r**2\/9 - 18800*r\/9 + 1448\/3 = 0. Calculate r.\nAnswer: -181, -6, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 z, and 1 t when three letters picked without replacement from fbtzmvm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*k = 0. Suppose k = 2*t - 6*t - 56. Let l = -3 - t. What is the remainder when 32 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**3 - b - 4*b**3 - 28*b**3.\nAnswer: -25*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 15*p - 8. Let d(h) = h + 2. Suppose -5*i - 12 = -2*q - i, 0 = q + 4*i. Let a(t) = q*d(t) + y(t). Let j(u) = -7*u**2. Determine j(a(v)).\nAnswer: -2527*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220 a factor of 2599347860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*o - 28*o = 19575. What is the smallest common multiple of o and 145?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2116364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbjj when four letters picked without replacement from hjjjiijbje.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 130*f + 1162. Give h(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + 15 + -9 + (183 - 209)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence baa when three letters picked without replacement from aababa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1499 (base 11) to base 9\nAnswer: -2566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.0548, 1\/4, 3\/5, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -94. Let f = d + 85. What is the greatest common divisor of 225 and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8 (b) -0.31 (c) -0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 + 2*k - 2*k + 0*k**3 - 5*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by -4\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 6*m**2 + m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1 + 28\/7. Suppose -3*p = s*p. Suppose -4*i - 111 = 2*h - 347, p = -3*i - 5*h + 163. What is the remainder when i is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6040 + 4?\nAnswer: 6044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**0))**10\/(u**2*u**(-1\/6)\/u*u))**(-30\/13) assuming u is positive.\nAnswer: u**(55\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-6)*(-12)\/8. Which is smaller: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 4*y**2 + 1. Let g be m(-4). Let i be g + -2 - (-3 + 0). Let f = i - 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 388020 = -4*l, -3*c = l - 137296 - 153699. What is c rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126 - 127. What is the closest to p in -2, 3\/2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -737, -1, -3, -2, -45 in increasing order.\nAnswer: -737, -45, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 12 = -3*p, -3*s = 2*s - 2*p - 8. Let u = -29 - -88\/3. Which is the nearest to u? (a) -5 (b) 2\/9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 22. Calculate the highest common divisor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*h. Suppose h = -4*z + z + 15, 5*f - 4*z = 360. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012486 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 + 13 = 4*d. Let r = -37 - d. Let j(q) = -16*q**3 - 11*q**2 - 11*q - 11. Let f(g) = -3*g**3 - 2*g**2 - 2*g - 2. What is r*f(c) + 2*j(c)?\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2456*n - 5*u + 26 = 4910*n - 2455*n, -n + 10 = 4*u for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 - 214?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217039?\nAnswer: 17, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22, -50, -86, -130?\n\"Answer: -4*f**2 - 16*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -253 + 256 - 3\/(6\/800). Let q = m - -579. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3)*h)**(-18\/7)\/(h*h*h**(-1\/5))**(10\/7) assuming h is positive.\nAnswer: h**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3851c - 391?\nAnswer: 3815b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**5 + 2*j**5 + 3*j**5 + (0*j**2 + 3*j**2 - j**2)*(j**2 - j**2 - 2*j**3) + 991 - 238*j**5 - 991.\nAnswer: -241*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 37. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 224.8, -0.1, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4\/715, 0.1, -0.1, -26, -5\/18?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 5*x + 63, -4*x - 615 + 608 = -5*r. Solve 5*s = -4*p - 12, -12*p = -r*p - 3*s - 22 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 57.2, -5, 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/3 + 44*y**2\/3 - 14*y.\nAnswer: -2*y*(y - 21)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -13*x**4 + 5*x**3\/3 + 3*x**2\/2 + 2617*x + 4510. Find the first derivative of h(g) wrt g.\nAnswer: -156*g**2 + 10*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 263 + -156. Let t = -105 + d. Put -4, -10, t, -5 in ascending order.\nAnswer: -10, -5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*1*6)\/sqrt(10) + 1.\nAnswer: 1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2 - k - 3. Let b be o(-3). Suppose -4*m - 27 = -7*m. What is the greatest common factor of b and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i - 1. Let l be n(-1). Suppose -1 = -o - 2*y - 5, 16 = -4*y. Let a = 20 + -20. Solve a = -3*k + o*u + 4, -4*k - l*u - 22 = 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3029556?\nAnswer: 2, 3, 252463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18397 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + -5 + (1*sqrt(1100))**2)*3 + -4*-2*(-4 + sqrt(1100)).\nAnswer: 110*sqrt(11) + 3253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 4*p**2 - 218*p + 1119. Let h be d(5). What is the closest to 6 in h, -0.08, -5, 2\/17?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1046*a*x + 9616*a + 6*x wrt x.\nAnswer: 1046*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10*o**3 - 59*o**2 + 12*o + 38. What is the tens digit of m(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lewm when four letters picked without replacement from {w: 1, g: 1, e: 1, m: 1, l: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42154*f*i**2*o - 8*f*i**2 + 259*f*i*o + 90*f*i - 4*f + i**2 - 258 with respect to o.\nAnswer: -42154*f*i**2 + 259*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -568*q**4 - 8*q**3 - q**2 + 237 wrt q?\nAnswer: -13632*q - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -20.1. Which is the nearest to v? (a) -0.04 (b) 0 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 0*a + 18*a - 8*a - 10*a - 12*a**2. Let z(f) = -f**2. Give t(z(n)).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5885*i + 5895*i = -40 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*a + 137 - 137)*(336 + 9*a**2 + 4*a**2 - 350) in the form t*a**3 + j + b*a**2 + k*a and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -3. Let f = 30 - s. What is the remainder when f is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llbblllbbbbbylllbblb. What is prob of sequence lbb?\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 744 = 738, 2*u = 3*m + 4011608. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 37220057.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 3*u**2 - u - 2. Let t(h) = 4*h**3 + 38*h**2 - 6*h - 207. Let a(x) = 6*m(x) - t(x). Differentiate a(b) with respect to b.\nAnswer: 6*b**2 - 112*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92601381 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/554533 and 121\/9870.\nAnswer: 781891530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1178313453 to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 964471.9 millilitres?\nAnswer: 964.4719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -911103\/7 + 932059594\/7161. Let z = x - -1\/93. Which is the second biggest value? (a) -1 (b) z (c) 3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.066 + -0.234. What is the biggest value in z, 1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1)\/(k\/k**(2\/5)*k)*k*k**(-4)*k**1\/k*(k**(-1\/7)\/k**(-5))\/((k\/k**(-1\/3))\/k*k)**(-10\/7) assuming k is positive.\nAnswer: k**(122\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.32 or -893?\nAnswer: -893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -161 (base 10) to base 9.\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -279*q - 19. Let h(p) = -562*p - 41. What is 13*b(f) - 6*h(f)?\nAnswer: -255*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 9*z**2 - 10*z - 12. Let q be w(-8). Suppose -10 + 2 = -q*u. Suppose -2*o + 35 = 3*a, -5*a + 7 = 3*o - u*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1671*j + 4033 wrt j?\nAnswer: 1671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589713.\nAnswer: 3, 17, 31, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 1. Let i(n) = 3*n**2 - n - 3. Let w(m) = m**2 - 4*m - 1. Let k be w(4). What is k*i(a) - 2*y(a)?\nAnswer: -a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 34356.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 328, -2\/3, 25\/6, -4\/5, -3, 2\/5, 1\/32?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 1. Let k(f) be the third derivative of 1\/12*f**4 + 1\/6*f**3 + 0 - 25*f**2 + 0*f. Determine -k(y) - 2*q(y).\nAnswer: -2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/159 and 57\/7948039.\nAnswer: 23844117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*t + 100, 4*t + 143 = -5*y + 411. Let i = 105 - y. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 9 + -1 + -7 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12039 is divided by 246?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*f + 365 = -63*f - w, 2*f = 3*w + 255. What is the smallest common multiple of f and 4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (560\/(-272) - 24\/(-408))\/(4\/22)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + -0.2. Let z = 9 + -8.69. Let p = -0.21 + z. Which is the closest to 0.04? (a) p (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-24))\/(-8 + 402\/54).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 12:16 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15701*p - 264 = 15723*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3527 - -17636\/5. Let k = -7 - -7.3. Let t = k + -0.6. Which is the nearest to -3? (a) p (b) 1\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 265*v - 8 + 9 + 292*v in the form d + f*v and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**0*x)**(4\/19)\/((x\/((x*(x*((x**(-2\/3)*x)\/x)\/x)\/x)\/x))\/x*x)**47)**(14\/11) assuming x is positive.\nAnswer: x**(-99680\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*k**3 + 276*k**2 + 4619 with respect to k.\nAnswer: 24*k**2 + 552*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3437.\nAnswer: 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19 and 0.1928889.\nAnswer: 19.1928889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 30, -1, -7 in decreasing order.\nAnswer: 30, -1, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a century in months?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -35840?\nAnswer: -35840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 4)*9\/2. Suppose -540 = -g*t - 18*t. Solve 2*o + 5*j = t, -3*j + 3 = -3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, 18, 296, 898, 1932?\nAnswer: 3506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 340608 and 1325178.\nAnswer: 5322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c - 108*c - 37*c = -1980 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**12*w*w*w\/w**(-8\/5) assuming w is positive.\nAnswer: w**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*t - 83 = 0, -4*s - 3 - 29 + 4 = -22*t - 18*t for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -102, -234, -352, -450, -522, -562?\n\"Answer: j**3 + j**2 - 142*j + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 q when four letters picked without replacement from {g: 3, q: 17}.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11001110001101010010100 (base 2) to base 14\nAnswer: c7c67a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 110880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 - -4 - (-46 + 2).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(12) + 2) - sqrt(3))*-1.\nAnswer: 2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 104\/(-32))\/(5 + -19 + 11)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*d + 22 = -0*d, -2*d = -4*y + 56. Let n be (-1)\/(27\/y + -2). Let w = n - 3. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4388929.\nAnswer: 23, 190823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t - 10*t + 7*t = 0. Suppose -4*l + 3*s + 36136 = t, 6*s - 5*s + 4 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 1. Let c(z) = 7*z + 25. Let v be c(-5). Let w(m) = 4*m + 4. What is v*a(h) + 2*w(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3 - 5. Suppose -y*j = 4*q, -6*q + q = -5*j + 15. Let l = j + -2. Solve -r + l = -3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from hhypppjpphpph?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 - 5*y**2 + 4 + 0 - 4*y + y**2 + 4*y + y**2 - 1 + 1 + 5*y**2 - 3*y**2 - y**2 + (1 - 1 - 2*y**2)*(-1 + 0 + 0).\nAnswer: 4*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 101\/3 - (-3)\/9. Suppose -5*c + 2*s = 6 - 26, 2*s - k = -4*c. Let w = 12 - 8. Solve -2 = -w*d + c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((846\/18)\/94)\/(1\/(-16))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 63, -5, 8416 in decreasing order.\nAnswer: 8416, 63, 25, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2883 is divided by 360.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 times 117719?\nAnswer: 211894.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 2, 574572.\nAnswer: -2, 2, 5, 574572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 25*n - 117. Let z be u(5). Solve -5*d = -7*d - z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4540 * -291.41.\nAnswer: -1323001.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515*o = 519*o - 3*u - 45, -4*u - 60 = 4*o. Factor 2\/11*m**2 - 2\/11*m + o - 2\/11*m**4 + 2\/11*m**3.\nAnswer: -2*m*(m - 1)**2*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 396900534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7.4 - 7.6\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -15, -1\/6, 18, -3, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2401 + -12007\/5. Which is the nearest to -2\/3? (a) 0.3 (b) s (c) -1\/12 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -39418086682625 minus 4?\nAnswer: -39418086682629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 34920.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(12\/7))\/h*h\/((h\/(h\/(h**(-2\/39)\/h*h)))\/h))\/(h\/(h\/(h\/(h*h*h*h**0*h))))**(3\/8) assuming h is positive.\nAnswer: h**(3193\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.32 + -0.23. Let m = -0.2 + q. Let n = -0.21 - m. Which is smaller: n or 1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5*c + 50 = -0, 0 = -2*c - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((5*sqrt(198)\/(4*sqrt(9)))\/(sqrt(704)*-2) + 4))**2.\nAnswer: -5*sqrt(2)\/8 + 32793\/2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 3.6. Suppose -d + 2 = -3. Suppose -d*u + 4 = 4*w, 4*u - 6*w + 2*w + 4 = 0. Which is greater: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-153)\/51)\/(2\/4 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2074 and 1118413.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1 (c) 8\/15 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfffh. What is prob of sequence ffh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 348 - 216. Calculate the greatest common divisor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 + -70. Let t = 4 - 7. Let k be o\/(3 - (t + 7)). Solve 3*j + 9 - 3 = k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/4)*a*a*(a**(-1)\/a)\/a)\/(a**(-8)\/a**(-1)))**(2\/15) assuming a is positive.\nAnswer: a**(29\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + (0 + 8 - (9 - 4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 7*d + 3. Let w be r(-7). What is the third derivative of m**2 + 2 - 2*m**w - 2 wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1094.1154 + 0.1154. What is the third smallest value in j, -2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**4\/12 + t**3\/3 + t**2\/2 + t. Let a be h(2). Suppose a = 2*k - 5. Sort k, 0, -1 in increasing order.\nAnswer: -1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -40*(26\/10 - 3). Let k = w - 17. Let f(l) = -l**2 + 4*l - 2. Let r be f(4). Which is smaller: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b + 73. What is g(18)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 2*x**2 + 0*x - 3*x**2 - x**2 + 4340*x**3 - 4248*x**3 to the form b*x + h*x**2 + a*x**3 + g and give a.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69047 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/3742896 and 43\/8109608.\nAnswer: 48657648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h - 2. Suppose 0 = -5*n + 6 + 4. What are the prime factors of y(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**42*t)\/t)\/t**38 assuming t is positive.\nAnswer: t**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -17*g**3. Let k(r) = 52*r**3 - 1. Let h(d) = -3*k(d) - 8*t(d). Find the first derivative of h(x) wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*z = -551 - 1750 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 27. Let f be 11\/7 - (-6)\/h. Let s(x) = 0*x + 3*x - f*x. Let o(c) = -6*c. Give s(o(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0147568012 rounded to four dps?\nAnswer: 0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -515, -1.\nAnswer: -515, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 24. Put -5, -1, y in increasing order.\nAnswer: -5, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*x - 839996, 3*x - 2*w - 249193 - 1010811 = 0. Let d be x\/14 - 6\/21. What is d rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*n - 8, 0 + 8 = -2*n + 3*y. Suppose 5 = x + 5*v, 0 = -6*x + 3*x - 5*v + 15. Let h = n + x. What is the greatest common factor of 11 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and 442669?\nAnswer: -11509394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42458, -85165, -127872?\nAnswer: -170579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 3*m + 17. Is 19 a factor of k(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**10*y**(4\/9)*y\/(y*(y*y*y**0*y*y)\/y)*y\/y**(-1\/26) assuming y is positive.\nAnswer: y**(1985\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -108*a + 190?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0108441 + -0.0491548. Let o = c + 0.06. Round o to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000165 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 372153760 by -356128.\nAnswer: -1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66.3206 + -66.4. Let m = -0.1395 - u. Round m to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -109, -10 in decreasing order.\nAnswer: 1, -5, -10, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 658\/2601 + 44782\/28611. Solve -18\/11 - 2\/11*u**2 + m*u = 0 for u.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 6. Let f be m(4). Let j(l) = -f*l - l + l + l. Let i(g) = -14*g + 6. Let t(d) = -i(d) + 12*j(d). Calculate t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125*z**5 - 702*z**4 - z**3 + 4*z - 79959 wrt z?\nAnswer: -2500*z**3 - 8424*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + 2 - -3 - 9) + (24 - -6)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**4 + j**4 + 26*j**4)*(3 + 2 - 4).\nAnswer: 34*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 106108924 to the power of 1\/2, to the nearest integer?\nAnswer: 10301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 765233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5864, -5854, -5844, -5834, -5824, -5814?\n\"Answer: 10*j - 5874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.98 - -22. Which is the closest to 1? (a) i (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -2 - -12 - (23 - 42 - -30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*x, 0 = 20*g - 15*g + 3*x. Suppose g = 5*v + 4*h - 151, -3*h + 59 + 7 = 2*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-13)\/h*(h\/(h\/(h*h*h\/h**10*h)))\/h)**(3\/31) assuming h is positive.\nAnswer: h**(-63\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkh when four letters picked without replacement from hhhhkhhhhhhkhhhhkhkk.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i + 92 = 2*l, 3*i = 5*l + 98. Let o = i + -37. Let m(z) = 2*z**2 + 5. Let x(q) = -3*q**2 - 6. Determine o*m(w) + 3*x(w).\nAnswer: -w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21489 by -13.\nAnswer: -1653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24212 + -21570. Does -3\/4 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 not equal to 16474\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1945 divided by -2\nAnswer: 1945\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 24, 6, -3\/8, -3, 1.8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*i = 40*i - 64 - 441. Put i, 4, -1, -74, 3 in increasing order.\nAnswer: -74, i, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*-3*sqrt(2420) + sqrt(2420) + sqrt(2420))\/((4*(sqrt(110) - (sqrt(110)*1 + sqrt(110))) + sqrt(110))\/sqrt(11)) + 0.\nAnswer: -121*sqrt(2)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.71 - -0.01. Suppose -125*v = -9*v + 6*v - 122. What is the nearest to -2 in v, m, 1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 7 + 7 + (-14 - (-7 + 6)) - -5.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41810713 rounded to the nearest one hundred thousand?\nAnswer: 41800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**6\/60 + 3*s**5\/40 - s**4\/4 - 2*s**3\/3 + 140*s. Let g(k) = 0. Calculate k.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-3)\/1 - 21\/(-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2864*m**3 - 1.\nAnswer: 2864*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**5 - 2819*z**4 - 8449*z**3 - 2813*z**2 + 8450*z + 5632 = 0?\nAnswer: -2816, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**3\/3 + 7*s**2 - 43*s + 63. Let f be u(8). Put -1, -12, f in decreasing order.\nAnswer: f, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 327538 - -19?\nAnswer: 327556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/14 and -75\/141694?\nAnswer: 141694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(1*sqrt(147) + sqrt(147)).\nAnswer: sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106 + 101. Put -1\/2, i, -1 in descending order.\nAnswer: -1\/2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 144, 334, 610, 978?\nAnswer: 1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*6\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = c - 3*z - 1, -5*z = c - 4. Suppose -l - 11 = -2*q, 0 = -l + c*l - q + 8. Let s be (-2 - l - -3)\/1. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1*sqrt(1980))\/(sqrt(176) - 2*sqrt(176)) - (-4 + 5*(-1 + sqrt(125)))**2)*-3.\nAnswer: -9618 + 2709*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 402*m - 5862. Is n(44) a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -7 + (1 - -2) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**6\/45 - 5*y**4\/24 + 2*y**3 - 6. Let d(z) be the third derivative of c(z). Differentiate d(v) with respect to v.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54805\/4422 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-5))\/((-2)\/(-15)). Let i be 200\/(-210) - (-2)\/f. Which is the third smallest value? (a) -1\/4 (b) i (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**6\/120 - v**5\/20 + v**4\/6 - 2*v**3\/3 - 14*v**2. Calculate r(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 16, y: 4}. What is prob of sequence gyyg?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 6*s + 51. Put 2\/7, s, 4 in ascending order.\nAnswer: s, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1 (c) -2.56 (d) -2 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-11)*p*p*p\/(p**(-8)*p*p))\/(p**0\/p**(-2\/17)) assuming p is positive.\nAnswer: p**(-36\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150310, 300648, 450994, 601342, 751686, 902020, 1052338?\nAnswer: 1202634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 364755\/3286 greater than 111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9*i**2 - 4*i - 48. Let p(q) = -2*q**2 - 10. Let o(h) = -5*p(h) + x(h). Suppose 0*t - 14 = 2*t + 5*z, -20 = 5*z. Give o(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8475\/11 + -34114\/55. Let h = u + -151. Let p = -4166.5 + 4163.5. Which is the closest to 1\/8? (a) h (b) -0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1488 + 3166. What are the prime factors of y?\nAnswer: 2, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.7 + 2. Which is the closest to -0.2? (a) -2 (b) x (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.575 rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**8\/336 - 19*g**5\/20 - g**4\/6 + 2*g**2 - 5*g. What is the second derivative of m(q) wrt q?\nAnswer: 20*q**3 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(156))\/(6*sqrt(588)).\nAnswer: -3*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5628771.\nAnswer: 3, 69491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {s: 3, g: 7, p: 4, m: 2, f: 2}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**2 + 11*n + 19. Let y(t) = 12 - 1452293*t**2 - 3 + 1452295*t**2 + 5*t. Calculate -13*y(d) + 6*z(d).\nAnswer: -2*d**2 + d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776370688.\nAnswer: 2, 17, 191, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23334, 23336, 23338?\n\"Answer: 2*p + 23332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 - 86. Suppose -h*k + 984 = -4*y, -3*k - 1 - 11 = 0. Is 20 a factor of y*((-4)\/(-8))\/(15\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*i + 3*i + 2*i + 10128 - 10128 - 500*i + (-6 + 1 - 1)*(-1 + 0 - i + 0) to the form r + n*i and give n.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-2)*(-24)\/(-20). Suppose -175 = -3*l - 5*u, -l + r*u + 25 = -2*u. Suppose z + 4*z = l. What is the greatest common factor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) -3\/5 (c) -7 (d) 0.2 (e) 21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*j - 14, 3*f + 18 = -4*j + 6*j. What is the units digit of (-29)\/((9 - 5)\/f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 413*b - 1642 + 403. Let q(s) = 2*s + 1. Let h(r) = 4*r + 1 + 2 - 1. Calculate b*h(d) - 5*q(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/18)\/(((-30)\/(-8))\/3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8)**8 assuming a is positive.\nAnswer: a**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = a - 280. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 28 = -2*i. Let m(k) = k**2 - k - 3. Let r be m(3). Suppose 5*q - 49 = 4*p, q = 2*p + r*p + i. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.363638 * -4.\nAnswer: -13.454552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 3 = 4*l. Suppose -80 = 5*v - 2*a, -29 = 5*v - 2*v - 5*a. Let u = l - v. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -10) + -1 + -3 - -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6647*z + 1369*z - 695*z - 2771*z)*(2*z - 2*z**2 - 2*z)*(1 - 2*z**2 - 1).\nAnswer: -34976*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15504 and 1425?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 24*w - 116. Let d be j(5). Put -5, d, -1, 8 in increasing order.\nAnswer: -5, -1, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/39 - 1683\/(-39) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 - 2 = -2*v - 58, 0*v = 4*a + v + 45 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-1))\/(5\/(-25)). Suppose 0 = -h*x + 4*x + 72. Let y = x + -23. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j + 3*j**2 - 2*j**2 + 0*j**2 - 16. Calculate the remainder when v(-7) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 282, -28570 in decreasing order.\nAnswer: 282, -3, -4, -28570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1920)*-3*3)\/(sqrt(60)\/sqrt(6)*2*1))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/13))**29*(s*s**(-1\/18)*s*s)**(4\/17) assuming s is positive.\nAnswer: s**(19126\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 3*j + 4*j + 4*j - 2*j - j + (2 - 4 + 4)*(-4*j + 3*j + 2*j) + 0 - 2*j + 0 - 12 + 840*j + 15 - 867*j)*(2*j**4 - 4*j**4 + 0*j**4).\nAnswer: 48*j**5 - 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414579537?\nAnswer: 3, 149, 309157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -12*g**3 - 117885*g**2 + 383244*g - 88443 = 0.\nAnswer: -9827, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1531.\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + s + 5, 2*x + 20 = 3*x + 3*s. Suppose -2*b + 37 = -3*d - 2*d, -3*d = x*b - 15. What is the highest common divisor of b and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19550 divided by 782.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*o**2 - 8*o**2 + 351103*o - 13*o**2 - 351103*o - 15*o**2 + 14*o**3.\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 7. Let m(p) be the first derivative of -p**4\/4 - 2*p**3\/3 + 3*p**2\/2 + 6*p - 1. Calculate the remainder when m(-4) is divided by s(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*f**3 + 620*f**3 - 213*f**3 - 46*f - 213*f**3.\nAnswer: -f**3 - 46*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/28 + (-360)\/(-28). Suppose 21 = 4*o + j. Solve -2 + o = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 3*r - 6. Let u be 2*3694\/168 + 11 + -10. Let m = u + -275\/6. Which is greater: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-11 + 8 + -6 + 5) - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 w when three letters picked without replacement from {w: 2, j: 4, g: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7*-1*24\/(-28). Let g = 11 - 5. Suppose 0 = f - g*a + a + 22, -4*f = -5*a + 13. Solve t - 5 = -3*z, -f*z = -i*z + 3*t + 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 5*o - 1. Let j(f) = f**2 - f + 1. Let b be 280\/(-264) + 26\/429. Determine b*l(t) - j(t).\nAnswer: -2*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 72, 2\/7, -18, -4\/7 in increasing order.\nAnswer: -18, -4\/7, 2\/7, 3, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - 82. Let y = p + 87. Let x be -1*(y - (-10)\/4) - -4. Sort 2, 0.2, x in ascending order.\nAnswer: 0.2, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 1. Let h be r(2). Let z be 26\/13 - 2\/h. Solve 4*s + 2*f + 8 = 7*f, z*s - 3*f = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5\/(w**(-10)\/w*w))\/(w**(5\/3)*w**(1\/2)) assuming w is positive.\nAnswer: w**(77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14425661381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.111 (b) -52 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*l**5 + 11*l**4 - 12*l**2 - 2?\nAnswer: -240*l**2 + 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**6\/360 - 7*z**3\/3 + 26*z**2. Let u(v) be the first derivative of s(v). Let a(t) = -6*t + 67 - 35 - 32. What is a(u(x))?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*((v\/v**(-1\/4))\/v)\/v*v)**(-2\/45)\/(v\/(v**(3\/4)\/v)*v**(-2\/9)*v))**24 assuming v is positive.\nAnswer: v**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 778707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000048224254 rounded to 7 decimal places?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n + 41*n - 18 = 138 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = -4*f. Differentiate -4 + 6*i**2 - 5*i**2 - 7*i**f - 5*i**2 with respect to i.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 193, 196, 201, 208?\n\"Answer: o**2 + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*q - 4. Suppose -30 = -q*n + 4*d, -4*n = -2*d + d - 53. Let y = n - 3. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13575 - -13724. What is the second biggest value in q, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**4\/2 - 55*i**3\/2 + 988*i**2 - 960*i = 0.\nAnswer: -80, 0, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 29.82008.\nAnswer: -29.32008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 43.7. Let z = -2.2 + k. Let m = z - -18. Round m to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.184444 - -0.1481. Let h = -0.0377 - v. Round h to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*r - 6*r**3 - 3*r**3 + 3*r**3.\nAnswer: -6*r**3 + 113*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*w**3 + 485801840*w + 61*w**3 - 485801840*w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - w**2 + 4*w - 1. Let v be r(-3). Suppose a - 8 = -2*l - a, -v*l + 50 = -a. Let h be ((-6)\/l)\/(1\/(-3)). Put 1, h, -4 in descending order.\nAnswer: h, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z + 8. Let f be t(6). Suppose 3*j = 6*j + a + 49, 3*j + 2*a = -47. Let x = f + j. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-12) - (0 + (-26)\/(-12)). Let g = -0.09 - -1.09. Which is the nearest to g? (a) 0 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3816910 and 3816900 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124939, -249873, -374823, -499801, -624819, -749889?\nAnswer: -875023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*w + 3*w - 21, 4*w = 5*s - 105. Let m = s + -17. Suppose -m*a - 4*q = 80, 2*a = -0*q + 3*q - 20. Is -16 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174160130?\nAnswer: 2, 5, 739, 23567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2. Let x(m) be the second derivative of -m**4\/12 + 5*m. What is x(d(r))?\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lqlllqxxqxxqqxxqxlq.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -45, -46?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/13, -34, -1006 in ascending order.\nAnswer: -1006, -34, -10\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 205298574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -56\/3, 0.12, -132?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 3402?\nAnswer: 3404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-486)\/18*1\/3 + 4. Let t(w) = -w**2 + 8. Let u(b) = b**2 - 7. Let h = -6 + 2. Determine f*u(j) + h*t(j).\nAnswer: -j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46644, -46639, -46632, -46623, -46612, -46599?\nAnswer: -46584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + 15.7. Let a = b - 16.0000038. What is a rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (42\/(-11907)*18)\/((-2)\/7). Let 0*h - r*h**3 - 8\/9 + 2\/3*h**2 = 0. What is h?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -12 (b) -3689 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 3. Calculate the least common multiple of (-3 - 36\/(-16))*-4 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**3 + 1. Let x(c) = 4*c**2 + c**2 + c**2 - 7*c**2. Determine x(z(u)).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - 5*k + 34. Let d(z) = z**2 + 4*z - 34. Give 3*d(c) + 2*u(c).\nAnswer: -c**2 + 2*c - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*t - 72 = -315*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 + 4*p - 4. Let g(l) be the second derivative of l**4\/12 - l**3\/6 + l**2\/2 - 2*l - 684. Give 6*g(a) + n(a).\nAnswer: 4*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 22 = 3*n, 2*l - 30 = -6*n + 2*n. What is the greatest common divisor of 161 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 128, 143, -0.1429, -2\/3?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**2 + f + 1. Let a be 18\/(-24)*(0 + -4). Let o(u) = 13*u**2 + 2*u + 2. What is a*o(k) - 5*h(k)?\nAnswer: 4*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7644\/195*(-135)\/(-108)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1 - -1) + -1 + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2100112022 + 122?\nAnswer: -2100111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.3094 rounded to one decimal place?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 7*y**2 - 7*y. Suppose l - 9 = x, l - x + 9 = 2*l. Suppose 0 = 4*w - l*w - 30. Let u be v(w). Solve u = z + 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t - 4. Let m(k) = k**2 - 4*k - 3. Let b be m(5). Let n be o(b). Solve -w = -5*c - 5*w + 27, -n*c + 9 = w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 + d - 4. Suppose 3*i - 16 = 2*m, 3*m + 22 = 4*i - 0*m. Let t be q(i). Let j = t + -48. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, 28, -2 in ascending order.\nAnswer: -5, -2, 13, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 20 = d. Suppose -5*w + 161 = -3*b, -3*w - 4*b = -d*w + 39. Find the common denominator of w and -101\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 71933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70465 and 340.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 3*k + 1. Let n be r(-4). Let u be ((-22)\/10 - n) + (-204)\/55. Which is greater: -4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3935 + -3947 + (-74 - (0 + 2 + -2 + 0)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 3*q + 36. What is the highest common factor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471144989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 - 4*u**2 + 44*u + 303*u**3 - 303*u**3 + 32*u - 2*u**2 in the form m*u**2 + p + a*u**3 + t*u + o*u**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31224022 + 4?\nAnswer: -31224014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -263016 or -263024?\nAnswer: -263024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxsuzgx. What is prob of picking 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(130) - sqrt(130)*1*-1)\/(sqrt(40)\/(1*sqrt(484) - sqrt(484) - sqrt(4))))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 - 7*z**3 + 23 + 47 - 112 + 42.\nAnswer: -7*z**3 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3.1. Let z(t) = -5*t - 1. Let c be z(-1). Suppose k - 1 = -3*d, c*k - 15 = 3*d + 4. What is the third biggest value in k, n, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12*3\/((-24)\/244). What is the hundreds digit of o\/2 + -1 + 2 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/4, 58, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*a - 4*y + 108, -3*a + 99 = y. Let f be 1072\/670 - 6\/(-15). What is the highest common factor of a and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -29*q + 28 + 142 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 50. Solve 48 = -3*d - v*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3816519 to the nearest integer?\nAnswer: 1954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006496723 to seven dps.\nAnswer: 0.0006497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*s = 8, -3*l + l + 2*s + 2 = 0. Solve -l = 3*z + 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 + -40. Differentiate 3*i - 32 - 3*i + q*i + 61 with respect to i.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -675565710 to the nearest one hundred thousand.\nAnswer: -675600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 + 3*w - 3*w + (-557 + 557 - 19*w**5)*(2 + 4 + 8).\nAnswer: -265*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**3 - 2*j**3 - j**2 + 4*j**3 + 2*j**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 16, 19, 22?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110011111110010 (base 2) to base 9.\nAnswer: 150354","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.08 + -27.96. Let j = y + 22. Let m = -77 + 77. Which is the third smallest value? (a) j (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.151 + 1.779. Let p = 0.07 + d. Which is the second biggest value? (a) -3\/8 (b) p (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 26. Let a be ((-1)\/u)\/((-6)\/24). Solve 4*j + 5 = 2*c + 3*c, -a*j = -10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*d**5 + 1049*d**3 + d + 106004.\nAnswer: -1120*d**3 + 6294*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, -1\/9, -2, -81, 928?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g - 54 + 7*g + 58)*(g - 3*g + 4*g) as w + y*g + r*g**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-2) + (-2)\/4. Let f = -835\/9 - -93. Which is the nearest to -1\/4? (a) f (b) 1\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 15 - 7 - 2 - 1 + 1 + (-7 + 2 + 3)*(-2 + 2 - 1))*(0 - n + 0).\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1495, -2988, -4481, -5974, -7467?\nAnswer: -8960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12396 + -0.22595619?\nAnswer: 12395.77404381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 11*p**3 - 11*p**2 + 8. Let z(c) be the third derivative of -5*c**2 + 0 + 7\/120*c**6 - 7\/60*c**5 + 0*c + 5\/6*c**3 + 0*c**4. Give 5*v(k) - 8*z(k).\nAnswer: -k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13978 = -2*a - 3450. Suppose 3*n = -v + 12504, a - 67820 = -5*v + 3*n. Round v to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2101404 and 115\/204?\nAnswer: 2101404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*z + 43 = -19 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 43, 80, 121, 160?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43.8 + 44. What is the second smallest value in f, 1\/3, 27?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*o + 73 = 3*t, 20 = 4*o. Let g = 11 - 8. Suppose -g*d = 4*z - 39, 0 = 2*z + 3*z - 5*d - 75. What is the least common multiple of z and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 x, and 1 w when four letters picked without replacement from emememmxmweexeemwemx?\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5668652*m**3 + m - 2905103 wrt m.\nAnswer: -34011912*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 252760 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/2 (b) -5 (c) -1 (d) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5395, -5397, -5399?\nAnswer: -5401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -61131 divided by 41\nAnswer: -1491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {l: 3, w: 2, x: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*v**2 - 2 + 15*v**2 + 8*v**2 as r + f*v + t*v**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 6:51 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3 - 4*t**2 + 5 - 1 + 4*t + 0 = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, u: 5, y: 2, z: 1, e: 3}. What is prob of sequence emu?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**9\/168 + l**5\/20 - l**2\/2 - 3*l. Let q(g) be the first derivative of y(g). What is the third derivative of q(s) wrt s?\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5821 + -2?\nAnswer: -5823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 19*v**6\/12 + 7*v**5\/5 - 47*v**4\/12 + 2*v**3 + 8*v**2 - 6. Suppose c(r) = 0. Calculate r.\nAnswer: -1, 3\/19, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 3:52 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1470) + 1*sqrt(1470))\/sqrt(2))\/((sqrt(625) + 1*sqrt(625))\/sqrt(5)) + 5.\nAnswer: 7*sqrt(3)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 275, -11, -1.\nAnswer: -11, -1, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 318b + 8?\nAnswer: 3197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 minutes before 6:23 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -4769 - -4764. Which is the third smallest value? (a) 0.1 (b) 9 (c) n (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 7*j - 2. Let q(i) = -i**2 + 5*i + 6. Let g be q(5). Let b be l(g). Suppose -b*h + 15 = -57. Solve m - 4*s + h = 3, -3*m - 9 = -3*s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 - 0 - (-387)\/9.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.38, 0.3, -8, 6, 0.015 in descending order.\nAnswer: 6, 0.38, 0.3, 0.015, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4496 less than -2.6855?\nAnswer: 4493.3145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -9*x**2 + 9*x - 9. Let m(d) = 4*d**2 - 4*d + 4. Let z(q) = -q**2 - 2*q**3 - q - 7*q**3 + q**3 - q**2. Let k be z(-1). Determine k*m(n) + 3*t(n).\nAnswer: n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933349983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/2))**(-39\/4)\/(c**(-7))**(1\/7))**(1\/3) assuming c is positive.\nAnswer: c**(-31\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2443 is divided by 309.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + -2 + sqrt(891) + sqrt(891))*-6)**2.\nAnswer: -3888*sqrt(11) + 288828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 262 - 9*l - 133 - 130. Let n = -7 - -6. Determine i(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159647875 + 14837539 = -96*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/2 + 69*q\/2 = 0. Calculate q.\nAnswer: 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 12. Calculate m(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 25*w - 9. Give q(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + -8. Let x be z\/(-27) + (-113996)\/(-3). What is x rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*z - 142*z - 140*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 1:09 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001618241 rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -315423\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 6. Let z be (-34)\/(-4) - 1\/(-2). Let g be x(z). Find p such that p**2 - 9*p**4 + 2*p - g*p**3 - 2*p - p**5 + 12*p**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - -146\/3. What is the second biggest value in 5, -0.5, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -275, -595, -959, -1373, -1843, -2375, -2975, -3649?\n\"Answer: -m**3 - 16*m**2 - 265*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 114*r**2 + 3161*r + 787. Give f(-67).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/13 - 193\/91. Which is smaller: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -377, -3243, -11167, -26723, -52485, -91027, -144923, -216747?\nAnswer: -309073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231131021 - -2201?\nAnswer: 231133222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/29)*v*v**(-12) assuming v is positive.\nAnswer: v**(-320\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2 = -1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9941 = 10*w + 9871 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -3*d - 4, 19*d - 5*a + 8 = 20*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*n**2 + 2 - n**2 + (2 - 2 + 2*n)*(4*n - 7*n + 0*n) + 2 - 2 + n**2 - 3*n**2 - 6 + 6.\nAnswer: -7*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**5\/60 - 5*f**4\/24 + f**3\/2 - 2*f**2. Let v(i) = i**3 - 13*i**2 - 9*i - 74. Let p be v(14). What is z(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37715473459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -246 + 1?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 338632 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 11:00 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -40 (c) 0.86 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -10*b. Let o be 50 - (-4 + (4 - 2)). Suppose 3*l + o - 64 = b. Solve -12 = -l*g + g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -11011110?\nAnswer: 11011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-31)\/62 - (-3)\/(-12)*-2. What is the second smallest value in 1.2, w, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -428.8429?\nAnswer: -3001.9003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {o: 6, s: 5, m: 3, b: 2, d: 1}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702150 is divided by 855.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1678?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 100199\/((1\/(-4))\/((-83)\/332)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - ((-22)\/(-44))\/((-2)\/(-24))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-10)\/11 + (-166803)\/(-13442)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -222\/2137 (b) -2\/15 (c) -2 (d) -6 (e) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119974120697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 61. Let y(j) = -j**3 + 13*j**2 + 16*j - 29. Let g be y(14). Sort 5, g, q in ascending order.\nAnswer: q, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2957 by 168.\nAnswer: 2957\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 8502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 10 = 4*v + 2*b, -6*v + 13 = -2930*b + 2931*b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/237*1)\/((360\/(-90))\/(12*-1)).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*(w\/w**2)\/w*w*w*w)\/w**(2\/37))**(-1\/38))**5 assuming w is positive.\nAnswer: w**(-545\/1406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/24 and 71\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1206 + 5?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2 + 70*u + 539 = 0. What is u?\nAnswer: -7, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o. Let b be h(-1). Suppose 0 = b*g - 7*g - 50. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15075667.\nAnswer: 3301, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 196044099281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/57 + (-68442)\/(-627). Solve 15 = 62*a - u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -11. Suppose -c + 5*c + 3*n = -3, -5*c - n + f = 0. Suppose 2*s - 4*z = 252, 5 = -c*z - 4. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3 + 26*w + 2 + 98*w + 2. Let a = 15 + -12. Is n(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/3*31\/186.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/679875 and -101\/2816625.\nAnswer: 19716375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 2*w + 14, -3*q + 9*w - 1 = 10*w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 164183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 7:06 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 3:38 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001486 rounded to 6 dps?\nAnswer: -0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634210?\nAnswer: 2, 5, 63421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 986403*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3267 - 1732. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from ccnssnsncnnc?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000911365 rounded to 6 dps?\nAnswer: -0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -65*u - 61. Let q be h(-1). Let l(i) = i**2 - i + 5. Let w be l(0). Suppose -10 = n + 3*n + 5*d, 2*d + q = w*n. Solve -2*g - 4 = -n*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 + (-2 - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 7:38 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 65 = -5*o + o, 0 = 2*o + z - 29. What is the highest common divisor of 495 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 777?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135476 (base 14) to base 12.\nAnswer: -282480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5 + 572*a**4 + 608*a**3 - 9788*a**2 + 8610*a = 0. What is a?\nAnswer: -5, 0, 1, 3, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8027201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + a - 119*a**2 + 120*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + -2 - (-1 + 1). Suppose -v*m = 64 - 376. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1) + (-44)\/(-12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.192 - 521.26.\nAnswer: -521.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) + (-165)\/45. Let p(h) = h**3 - 19*h**2 + 7*h - 128. Let a be p(19). Put 0, a, z, -2 in decreasing order.\nAnswer: a, 0, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 336 = 4*g + 3*y, -g + 101*y - 1121 = 2*g + 115*y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 610.\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 4*u**2 - 5*u**2 + (0 - u + 0)*(5 - 3*u - 5) + 0*u**2 + 3*u**2 + u**2 + (2 + 1 - 2)*(-3*u**2 + 4*u**2 - 2*u**2).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18677496, 18677452, 18677408, 18677364, 18677320?\nAnswer: 18677276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + (-10)\/(-3))\/(0 - 1). Is -2\/15 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -8 + 8 + 1 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02691688987 rounded to four decimal places?\nAnswer: 0.0269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**6\/120 - 7*m**5\/60 + 11*m**4\/24 + 195*m**2. Calculate r(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**3 - 2*d**2 + 5222*d - 725227 wrt d?\nAnswer: 6*d**2 - 4*d + 5222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 12:37 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by -4885.\nAnswer: -102\/4885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4))**(-32)\/(q\/(q\/(q\/(q\/(q*q\/((q*(q**2*q)\/q*q*q)\/q)*q)))))**(16\/9))**(-5\/11) assuming q is positive.\nAnswer: q**(280\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 + 8*s**2 + 11*s - 26. Let n(h) = 2*h**3 + 7*h**2 + 13*h - 27. Let y(z) = -3*n(z) + 4*u(z). Is y(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/13)\/i**(2\/7))\/(i*i**(-1\/7))**(2\/13) assuming i is positive.\nAnswer: i**(-24\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12567028169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 12. Let s = 5 - 16. Let n be o(s). What are the prime factors of 30\/n*(-14)\/(-35)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n**3 + 5*n**3 + 14*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/30 + 6\/(-4) - (-4 - (-28 + 22))?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from {q: 4, k: 2, b: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h - 3*q + 33 = 0, 1 = h + 4*q - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -10*b**2. Let i(u) be the third derivative of u**4\/24 + 9*u**2. Determine l(i(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**3\/3 - o**2 + 2*o - 3. Suppose -6*s - 35 = -s + 5*g, -3*s + g - 1 = 0. Let x be r(s). Solve 0 = -4*z + x*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 48035.94 micrometers?\nAnswer: 0.04803594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**3 + 3*p**3 + 3*p**3)*(-4*p**2 - p**2 + 4*p**2) + (6 + 5 + 1)*(-2*p**2 + 2*p**2 + p**5) - 4*p**5 - 15*p**5 - 4*p**5.\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -240.19 * -0.06.\nAnswer: 14.4114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 64*p + 3849. Calculate the remainder when v(-57) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g + 345*g - 17776 = 489*g for g.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*(-2 - -3) - (-9130)\/1320)*(-64)\/28?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000067783193 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 21 = 1, 2*j = 5*h - 210. Is h a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 3:15 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 912, 2, 27, -3.\nAnswer: -3, 2, 27, 912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/17 (b) -4 (c) -299 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 610619947?\nAnswer: 610619947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 173 - 37 = 0. Let c be s\/(-15) + (-1)\/5. Let g be -2*(c + 21\/6). Which is smaller: g or 1\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(2 + -1) - 26\/(-2). Suppose -261 = l*d - 2251. Let 199 - 2*m - 9*m**2 - 4*m**3 - d = 0. What is m?\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d = -0*d + 16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10402 (base 7) to base 9.\nAnswer: -3507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 810 and 1134?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 6*m - m - m**2. Let s = -26 + 21. What is the units digit of y(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -1. Suppose -p*z - 13 = 2*z - h, -4*z = -5*h + 23. Are z and -2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 - 3*d + 3*d + 6 - 3 - 2 - 2*d**2 + (0*d - 2*d + 0*d)*(5*d - 2*d - 2*d) + 4*d**2 - 4*d**2 + d**2 - 2*d**2 + 3*d - 3*d.\nAnswer: -2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.4 + -9.1. What is w rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1788, 1\/3, 0.14, 3\/10, 0, 1 in ascending order.\nAnswer: -1788, 0, 0.14, 3\/10, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 7*l - 3. Suppose y + 3 + 5 = 0. Let q be b(y). Let z(a) = -a - q*a + 6*a - a. Let j(v) = -4*v**2. Calculate z(j(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45191\/7644 + -3\/637. Let q = -23682\/5951 - -27\/1082. Find the common denominator of q and w.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*y - 5. Let b be 7 + y - (-1 + 3). Solve b = -3*t + 8*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = m + 2. Let j = 1.5 + 46. Let o = j + -48. What is the smallest value in -0.2, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 2*p**2 + 0 + 2*p**3 - 1\/2*p**4 - 1\/60*p**5 + 0*p. Let y be m(-13). Sort y, -4, 0 in increasing order.\nAnswer: -4, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 277 + -275. Solve 2*k + 5 = d - 3, -l*k = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002010797 to seven dps.\nAnswer: 0.0002011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 123373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 6*r - 40. Let c be t(-4). Let k be (c - -2) + 9\/(-9)*2. Is -2\/605 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 + 1.06. Let k = y - 0.36. Which is the second smallest value? (a) k (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -289 + 7*r**2 + 27*r + 6*r**2 + 9*r - 67*r**2 + 53*r**2. Give p(24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9840197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(2\/21))\/z*z)\/z**(1\/18)*(((z*z**9)\/z)\/z*z*z)\/(z*z**(-32)*z) assuming z is positive.\nAnswer: z**(5297\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15231 rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43279 or 43283?\nAnswer: 43279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 541965884 and 1884.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17cee0 (base 15) in base 13?\nAnswer: 316b9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1724 - -0.118. Round p to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 542919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250596 is divided by 61?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 4) to base 8\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i - 2902 = -19974. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 1.6331\nAnswer: -0.48993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 22554*v**4\/23 + 563854*v**3\/23 + 100*v**2\/23 = 0.\nAnswer: -25, -2\/11277, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 156*t**6 - 2*t**5*w - 2*t**2 + 47*w + 2 wrt t?\nAnswer: 18720*t**3 - 120*t**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -110011100111 (base 2) to base 12\nAnswer: -1ab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2555915.\nAnswer: 5, 29, 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*q - 6 = 0, -14 + 12 = q. Solve 3*l - 8*l + 25 = s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*b = -78, 24 + 17 = 2*u + b. Solve u = 5*i + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 21*b - 10*b. Solve -k - 1 + 2 = 4*j, -b*j + 3 = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, 35, 668 in increasing order.\nAnswer: -2, 8, 35, 668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 11*j**2 - 5*j - 6. Let h be s(-3). Let x = -97 + h. Calculate the remainder when x is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-39)\/12 + 5)\/((-2)\/(-16)). Let y = b + 6. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -484166691 + -22.1926\nAnswer: -484166713.1926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -43. Let j = n - -184. Let i be (-1)\/(-3) + (-112)\/(-6). What is the highest common divisor of j and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30661 (base 7) to base 15\nAnswer: 237a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + 23. Suppose -v - 3*c + 23 = 0, -7*v - 5*c + 127 = -3*v. What is the highest common divisor of v and z?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 535079*y - 7745987.\nAnswer: 535079","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 12:52 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 13) to base 11.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 j, and 1 x when three letters picked without replacement from {x: 3, a: 8, t: 2, j: 3}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171.656l in millilitres?\nAnswer: 1171656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 894447.3 millilitres?\nAnswer: 894.4473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 3*r**2 - 6*r**2 + 2*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -26\/7, -0.2, 5\/148?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*o - 606 = -92*o - 3*v, 5*v = 5*o - 810. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/((64\/12)\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10792104 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 109*y - 58. Let m(w) = 15*w - 8. Let q(g) = 29*m(g) - 4*u(g). Let r(i) = 6*i - 6. Let k(v) = -v - 1. Let x(h) = -8*k(h) - r(h). Determine x(q(p)).\nAnswer: -2*p + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.391 - -19.491. Let p = 20.1 - z. Let u = -7 - -6. What is the fourth biggest value in 19, -5\/3, u, p?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one halves of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 536 - 533. Calculate the remainder when 152 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**7\/2520 - j**4\/4 - 4*j**2. Let a(p) be the second derivative of b(p). Let v(t) = -9*t. Give v(a(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1958 divided by -6.\nAnswer: 979\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 301, -1, 15, -17, -5, -4, -3.\nAnswer: -17, -5, -4, -3, -1, 15, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1*2)\/((-4)\/(-26)). Let f = 14 + p. Let w be (-3)\/(-3) - (1 + -1). Are f and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.9 + -34.9. Let f = 2\/3 + -4\/15. Is f > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14926*t**6 + 12001*t**2 wrt t?\nAnswer: 1791120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/7 in 5, -1\/607, -3?\nAnswer: -1\/607","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 - (1 - -3))*22*656\/(-8) is divided by 37?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 1180*l**7\/21 + l**4\/6 + 31*l**3\/6 + 45*l**2\/2 + 5438*l. What is the second derivative of t(y) wrt y?\nAnswer: 47200*y**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3303 + 3?\nAnswer: 3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwooffwfwfw. What is prob of sequence ww?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 905308.11ms to weeks.\nAnswer: 0.001496871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178, -178, -188, -214, -262, -338, -448, -598?\nAnswer: -794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 17 = 3*l, 0 - 11 = l - 5*p for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 16*a**2.\nAnswer: 4*a**2*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39222330 to the power of 1\/2, to the nearest integer?\nAnswer: 6263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2325 + -116430?\nAnswer: -114102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -1\/12*x**4 + 1\/6*x**3 + 0 + 0*x**2 + 2*x. What is the second derivative of y(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i + 2. Let a = 15 - -17. Calculate the common denominator of w(10) and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 7:03 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9552.51 * 0.043.\nAnswer: 410.75793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000095843 rounded to six dps?\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 z, and 1 c when four letters picked without replacement from {c: 2, z: 5, l: 6, q: 3, p: 1}?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 304421, 303871, 302955, 301673, 300025, 298011, 295631?\n\"Answer: -183*o**2 - o + 304605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f + 6 = 0. Let u(r) = -7*r + r**3 + 29*r - 17*r - 5 + 6*r**f. Calculate u(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-192)\/33440*665\/(-399)?\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46179 and 693.\nAnswer: 507969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2734 - -2762. Which is the second biggest value? (a) -0.02 (b) 2\/11 (c) 0 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.2579 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(588)\/sqrt(4)) + sqrt(84)\/sqrt(7) + sqrt(3) + -2 + 3 + 3 + sqrt(75).\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i. Let f(w) be the third derivative of w**4\/6 + 11*w**3\/3 + 207*w**2. What is f(d(a))?\nAnswer: -24*a + 22","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-64)\/20 + (-4)\/(-20). Let p = 7 + -6. Let j = -0.9 + p. Is j greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13115 - 6312. Suppose -5*i + j = -15697. Round i to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 972988*m**3 + 15566784*m**2.\nAnswer: 4*m**2*(m + 16)*(m + 243231)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 4*p - 1. Let a be h(-4). Suppose 2*m - 20 - 12 = 0. Calculate the least common multiple of a*((-32)\/2 + -2) and m.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 5*f + 37, 93*l - 94*l - 30 + 1 = -6*f for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1604 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 0.4 (b) 4\/3 (c) -1\/145 (d) 0 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -7\/783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6556947?\nAnswer: 3, 2185649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.54 * -298\nAnswer: -160.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -621.1 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -7 - -10 - (5 + -10 + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-48)\/4)\/6)\/((-4)\/10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 470 + -478.09. Let g = 0.09 + w. Let l = -7.999994 - g. Round l to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.681 times -0.0377?\nAnswer: 1.0812737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 + 26*h**3 + 105*h**2.\nAnswer: h**2*(h + 5)*(h + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -11. Let g = -82 + 86. Find the first derivative of 3*u**c + 0*u**4 - 5 + u**g wrt u.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-5 - -11) + -9 - -8) - -18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -4*d**4 + 20*d**3\/3 + 14*d**2 - 8*d - 2. Factor x(l).\nAnswer: -4*(l - 2)*(l + 1)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/7 - 2446*a**2\/7 + 21951*a\/7 - 43866\/7.\nAnswer: (a - 2437)*(a - 6)*(a - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1501 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 38 - 38 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2.2. Suppose 168*p - 2*o + 24 = 165*p, 4*o - 30 = -3*p. Which is the closest to 3\/10? (a) -2\/11 (b) w (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 569 + 569)*(1 - 6 + 4)*(3 - 1 - 1).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-8))\/(-3)*-2. Let u(w) = -w**3 + 2*w + 1. Let a be u(-1). Which is smaller: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2e58a4 (base 15) to base 3\nAnswer: 11020010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40177 + -40214. Suppose -4*y = -0*d - 2*d - 70, -4*d + 4*y = 148. Which is smaller: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 410832 and 13948.\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1. Let x(w) = w**2 - 3*w - 3. Let u be x(4). Let l(a) = 1 + 0 - 3*a**2 - 3 - 3*a - u. Let s(f) = l(f) - 3*t(f). Let s(q) = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 - (-10)\/8. Let m be (3\/6)\/(4\/(-16)). Let p = 9 - m. What is the highest common factor of p and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40913327 and 1729?\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 366 = c - 3*b, 0 = 4*c - 2*b - 1414. Suppose 0 = 7*w - c + 36. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 5*z - 5*h + 32, 27 = z + 4*h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 318 + 290 = 2*j, 1544 = 5*i - 3*j. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522270 greater than or equal to 522267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5228 (base 13) to base 15.\nAnswer: -3572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546 (base 8) to base 16.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/sqrt(2)*2)\/sqrt(5))**2 - (sqrt(36)\/(1*sqrt(12)) + (sqrt(6)\/(2*sqrt(2)))**2).\nAnswer: -sqrt(3) + 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0075 times -0.178478?\nAnswer: 0.001338585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3. Let o be p(0). Let f(j) = -2*j. Let s be f(-2). Sort o, s, 3 in ascending order.\nAnswer: o, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -10*m**3 + 25*m**2 + 55*m + 20 = 0.\nAnswer: -1, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 29, 49.\nAnswer: -1, 2, 29, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 572099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -441?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2514d0 - -1a?\nAnswer: -2514b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(567) + sqrt(567)*1) - sqrt(567) - (sqrt(567) - (sqrt(567) + sqrt(567) + sqrt(567)*2 + sqrt(567) + -5 + sqrt(567)))) + 3)**2.\nAnswer: 72*sqrt(7) + 2272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 15*l + 57. Let f(j) = 373*j + 752. Let q be f(-2). Give i(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 0*g + 0*g - 1 - 9 + 2*g. Let n be b(7). Suppose n*y = 3*y. Solve y = -k + 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + 59. Suppose i - 25 = -a, 4*i = 2*a - a + j. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13 - (-5 + 3) - -2. Let c(p) = -p**3 + 6*p**2 - p - 4. Let t(q) = -3*q**3 + 18*q**2 - 3*q - 11. Let w(f) = u*c(f) - 6*t(f). Determine w(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**4 + 227840*l**3 - 2*l**2 + 313*l - 732 wrt l.\nAnswer: 24*l + 1367040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -5*v**4\/2 - 45*v. Let k(t) = 2*t. Calculate k(z(j)).\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82 - 116. Let v = b - -355. Calculate the remainder when v is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*h - 4 + 18*h**5 + 1 + 3 wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -253\/4 - -63. Let z be (-2)\/(61\/1*1). Let g = z + -108\/427. What is the third smallest value in x, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -6. Is 15 a factor of (-2)\/(-6) + (-299)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 11*w = 0. Let x = 4 + w. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 179\/5*d + 0 - 1\/5*d**2.\nAnswer: -d*(d - 179)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 917980988*o**4 + 933653317*o**2 wrt o.\nAnswer: 22031543712*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 7*z**2 + 73*z - 294. Give m(16).\nAnswer: 3178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*p**2 - 35 - 264*p**2 + 134*p**2 as i*p + g + q*p**2 and give g.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + 2\/1 + 51?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 b, and 1 e when three letters picked without replacement from vkovevvkbkkvbbkkvvv?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29183*b = 29176*b + 5*y + 60, -4*b = 5*y + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/((-56)\/(-12)) - 1\/(4\/(-67882)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o - 3. Determine f(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qngnsqnn. Give prob of sequence nqsq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 3*r - 3, -2*r = -3 - 5. Let k be 132\/9 - (-2)\/t. Solve -2*n + 4*n - 4*q + 20 = 0, 0 = 2*n - 2*q + k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 9 + 3\/(-1). Solve -5 = h + 3*h - x*v, 0 = 4*v - 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 3*h - 115. Let g(y) = -11*y - 53. Let m be g(h). Suppose -4*k + 8 = -0. Solve 3*d - k = m*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 7:01 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 0.1 (c) -2\/11 (d) 3 (e) 3\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1056660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325 + 2*f + 325.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-3 + 0) - (-2 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2910.\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**2 + 3*z**2 + 0*z**2)*(z + 2 - 14*z - 7) as x + b*z + d*z**3 + l*z**2 and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2. Let z(u) = -u**2 + u. Let t(p) = -72*p**2 + 48*p. Let n(y) = -t(y) + 48*z(y). Determine b(n(a)).\nAnswer: -576*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n - 95 = -222 - 323 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2079835 by -198.\nAnswer: 2079835\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(13) + (sqrt(117)\/(-2*sqrt(9)))**2 - (sqrt(13) - -3*(sqrt(13) + sqrt(13) + -1)))*4.\nAnswer: -24*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 705.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 29. Let p be (0 - (-8)\/(-10))\/((-4)\/1080). Let j = p + -221. Sort 2, j, c in descending order.\nAnswer: c, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2029436047 + -1247921885. Let k = v + -781514366.0000203. Let x = k + 204. What is x rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 53803, 215001, 483631, 859699, 1343211, 1934173?\n\"Answer: b**3 + 53710*b**2 + 61*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -200391\/4 + 50098. Factor -1\/2 - 1\/4*z + 3\/4*z**2 - 1\/4*z**4 + d*z**3.\nAnswer: -(z - 2)*(z - 1)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 561842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -1)\/((-1 + -3)\/(-44)). Calculate the greatest common divisor of a and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 10*g + 11*g - 7*g + 13. Let x be s(8). Suppose -163 = 6*w + x. Round w to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 c when three letters picked without replacement from cmmcmmmm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13883506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(176) - (-1 + sqrt(176))*-3 - (3*sqrt(99)*-3)\/((3*sqrt(9) + sqrt(9))*1).\nAnswer: 73*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 0 - 0\/1. Suppose 4*c + 10 = 10. Solve c*k + h*k = -4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 21 = 9*c - 13*c, 0 = 3*h + 4*c + 3. Solve -h*f = 4*t - 27, 3*f = -0*f + t + 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 353611, 353612, 353613?\n\"Answer: l + 353610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 722*d + 150 - 720*d + (1 + 0 - 2)*(3*d - 4*d - d) to q*d + i and give i.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2015\/(-10478))\/((-5)\/(-12)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -465652 divided by 2?\nAnswer: -232826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfu when three letters picked without replacement from wlwufllluuu?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/7826 and 87\/2236?\nAnswer: 15652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 + 14*n**2 + 2*n - 27. Let x be z(12). Let u = -464 - x. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-342)\/798 - 0\/1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17397 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66 or -392.6?\nAnswer: -392.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, u: 11, q: 2}. What is prob of picking 1 u and 2 q?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*u + 40, -22 = -2*u + 2*o - 0. Suppose u*g = -g + 21. What is the derivative of 15 + 35*y**3 - 58*y**3 + 40*y**g wrt y?\nAnswer: 51*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, 1\/2, -19\/5, 2\/7?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u**2 - 1. Suppose 5*w + 77*w - 40 = 42. Let y(g) = g**2 + g + 1. Calculate w*y(m) - l(m).\nAnswer: -4*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -206*x**3 + 1450*x**2 - 1292*x + 48.\nAnswer: -2*(x - 6)*(x - 1)*(103*x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000303084 rounded to 7 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -2*h**3\/3 + 85*h**2 + 572. Factor n(i).\nAnswer: -2*i*(i - 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 28001 = -v, 4*v + k + 2*k = 111994. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104025 and 2446.\nAnswer: 254445150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.3 + 214.3. Let x = j - 187.5. Let d = 29 + -11. What is the smallest value in 1, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 - 77. Suppose -f + 19 = 2*y. Suppose -4*s + 148 = 4*j, 3*j = y*s - 10*s + 117. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 + -2) - (0 + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.06, -2\/7, 3, 0.27?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-12)*3\/10)\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1316 - 260. Find b such that n - 1056 - 15*b**3 - 6*b + 21*b**2 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32498221*m**3 + 21366*m - 329 wrt m.\nAnswer: -194989326*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-540)\/(-122 + 68)*-4.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 190 + 66. Calculate the remainder when 121 is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 39562590, -5 in decreasing order.\nAnswer: 39562590, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = -3*r + 114, 0 = -2*p + 3*r + 61. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 + 81. Which is the nearest to d? (a) -2 (b) 1\/5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7 - 5*l**2 - 20*l + l**2 + 13*l**2 + 0*l**2. Let w be f(2). Solve -4 = -4*t + 4*y, -y - w = -2*y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3808*y - 2321. Is h(-31) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-5 + (-2 - -2) - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 greater than or equal to -138892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.2 (b) -0.3 (c) -0.2079 (d) -5 (e) -23 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226320 divided by -56580.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6 + 3823*u + 3*u**2 - 7639*u + 3812*u. Let x(g) = -g**3 + 5*g**2 - 2*g - 3. Let s be x(4). List the prime factors of l(s).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/5 - 10\/25. What is the smallest value in 0.4, -0.05, c?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -314.7 rounded to the nearest ten?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3269512031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**3 - 3*d**2 - 3*d - 1. List the prime factors of y(-3).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1119, 1453, 1741, 1959, 2083, 2089?\n\"Answer: -4*w**3 + w**2 + 359*w + 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -16*m. Let d(p) = p - 35889. Determine d(o(s)).\nAnswer: -16*s - 35889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -13*a**3 - 7*a**2 + 11*a - 9. Let j = 41 + -30. Let m(w) = 7*w**3 + 4*w**2 - 6*w + 5. Calculate j*m(c) + 6*b(c).\nAnswer: -c**3 + 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12 - -4 - (-34 - -18). Solve 5*q - 2*g = -1, -3*g = 13*q - s*q - 14 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102111120 + -10?\nAnswer: 1102111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45328690?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + x = -z + 4, -5*z + 5*x = 0. Let h be (z\/4)\/((-33)\/(-22)). Which is the third biggest value? (a) 0.2 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31923491, -31923492, -31923493, -31923494, -31923495, -31923496?\nAnswer: -31923497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*m - 1 - 2 - 1 + 1.\nAnswer: 172*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 l, and 1 g when four letters picked without replacement from {l: 1, f: 2, m: 9, g: 2}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/10)\/(1\/(-4)). Let u = 3.616 - -0.384. Let j = -27.94 + 28. Put d, j, u in descending order.\nAnswer: u, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -88.9 + 93.33. Let c = r - -2.92. Round c to 1 dp.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 2043.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 31. Let o = w - 11.28. Let j = 0.02 - o. What is the nearest to 3\/5 in 3, j, -2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3136 divided by -4?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -1. Suppose w = -d - 1. Let h(q) = q**3 + 7*q**2 + 5*q - 1. Is 4 a factor of h(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 129\/9 - 4*(-1)\/6. Calculate the greatest common divisor of 105 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 times 113\nAnswer: -1808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -43860 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) + (-38)\/8. Let i(a) = 2*a**2 + 6*a + 1. What is the units digit of i(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 12*w + 1. Let s(i) be the second derivative of i**4\/12 + 13*i**3\/6 + 44*i. Let n(x) = -6*d(x) + 5*s(x). What is n(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25\/8843 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p - 2 = 0. Suppose 0 = o - 4*l + p, -4*l + 5 = -4*o - 3. Let y be (1\/o)\/((-26)\/(-8)). Do y and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 6.93. Let t = -0.073 - 31.927. Let l = 32 + t. Is l at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3422732?\nAnswer: 2, 855683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + 3*sqrt(13))**2 + sqrt(52)\/(sqrt(4)*3)).\nAnswer: -702 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.72 take away 838?\nAnswer: -836.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130866202 to the power of 1\/3, to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - (-1)\/(18\/320670) a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + 174. Find the second derivative of 594*g - s*g + 92*g**3 - 197*g - 2 - 192*g wrt g.\nAnswer: 552*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006886508 rounded to six decimal places?\nAnswer: -0.006887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/(-12))\/(6\/27))\/(114\/304)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2824906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 5*d**4 - 2 + (-4*d**4 + 0*d**4 + 6*d**4)*(-1 - 2 + 5) - 2*d**4 + 2*d**4 + 2*d**4 to b*d + k*d**2 + n + x*d**3 + l*d**4 and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29905 to two dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-24)*3\/(-10)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 12*s - 8. Let b(i) = 5*i - 96. Let p be b(23). Suppose -a - 76 = 5*f - p, 0 = -f + 3*a - 5. Determine g(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - -0.5. Suppose -13 = -6*v - 43. Which is the nearest to g? (a) -3\/5 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 13) in base 12?\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1408.185 and -0.4?\nAnswer: 1407.785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*5*(-6*(sqrt(117) - (2*sqrt(117) - sqrt(117) - sqrt(117))) + (sqrt(117) + 2*sqrt(117))*6 + sqrt(117))\/(sqrt(729)*2 - -1*(sqrt(9) + sqrt(144))).\nAnswer: -195*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + (2 - (-12)\/(-3)). Suppose -8 = -4*a - g, t*g + 1 + 5 = 3*a. What is the second derivative of -4*h + h + h + a*h**4 wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 4*l - 2*l**2)*(16 + 50*l**2 - 78*l**2 + 38*l**2).\nAnswer: -20*l**4 - 32*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9820 divided by 44.\nAnswer: 2455\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -d + v - 335, 5*d = -4*v + 416. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/31779 and -113\/7062?\nAnswer: 63558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/(t\/(t*t**(-2)))*t**6)**30)**36 assuming t is positive.\nAnswer: t**7560","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*z + 124*z + 93*z**2 - 81*z wrt z?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**3 - 3*o**3 - 3*o**3 + o**3 - 2*o**3 + 0*o**3 + 4*o + 2*o**3 - 4*o + (-o + 2*o + o)*(o**2 + 1 - 1))*(-1 + 2*o + 1)*(-5 + 3 + 3).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 11:07 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -978 by -326.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r + 10. Let w(z) = 3*z + 12. Let x(h) = -6*a(h) + 5*w(h). Let v(f) = 11*f. Calculate v(x(j)).\nAnswer: -33*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 704 is divided by 149?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(209)*1 - sqrt(209) - sqrt(209)) + 2*sqrt(209)*2)\/(sqrt(99)\/(sqrt(9) + (sqrt(90) - -1*sqrt(90))\/sqrt(10))).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7072 by -45.\nAnswer: 7072\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-675)*15)\/((-40)\/(-12))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -26. Let k = m + -10. Calculate the remainder when k is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4\/3, -1, -2, -50 in decreasing order.\nAnswer: 4\/3, -0.2, -1, -2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 6076?\nAnswer: 6076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**6\/3 + 426*f**5\/5 - 5829*f**4 + 67412*f**3\/3 - 33285*f**2 + 22050*f + 1485. Factor l(c).\nAnswer: -2*(c - 105)**2*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 5. Put 0.4, i, -1\/3 in descending order.\nAnswer: i, 0.4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 460 and 10419.\nAnswer: 208380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3*x - 2 - 1, 5*x = -4*d - 8. Solve -g - 3 = 0, d*w - 8*w + 29 = -3*g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -875*v**4 + v**3 + 4*v**2 + 5*v + 991 wrt v?\nAnswer: -10500*v**2 + 6*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 9. Let a(h) = 2*h - 10. Determine -2*a(j) + 3*s(j).\nAnswer: -j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 10. Solve -5*h - d*v - 4 = -2*v, -3*h + 2*v = -2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809873279?\nAnswer: 37, 21888467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Let d = b + 3. What is the remainder when 2 - -2*(3 - 2) is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.58, 0.2, 692, -3, -2 in decreasing order.\nAnswer: 692, 0.58, 0.2, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -6) + -6 - (-5 + -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 - 7*f**2 + 2*f**3 + 5*f**3 + 7*f**2 + 29.\nAnswer: 3*f**3 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*n - 100*n - 1 + 1 + 2*n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 5*f**8\/336 + f**7\/42 - f**6\/24 - f**5\/12 - 8*f**2. Find c such that l(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 p when four letters picked without replacement from lllllllllllllplppllp.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 - -7.7. Let y = -11.6 + q. Let j = -2 - y. Which is the second smallest value? (a) 0.5 (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4693812 to the power of 1\/2, to the nearest integer?\nAnswer: 2167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**3\/2 - 4*m**2 + 61*m\/2 - 26 = 0.\nAnswer: -13, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1275, 1277, 1279, 1281?\nAnswer: 1283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -13\/60, -9\/4, -0.1?\nAnswer: -13\/60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 289\/1085 - -3\/155. Let z = 5.2 - -2.8. What is the biggest value in z, 1, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561 - 543 + 2179 - 533 - 3*d - 542.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 11:46 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25*c**2 - 10 - 13 + 52*c**2 wrt c.\nAnswer: 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k. Let z be s(-2). Suppose -z = -5*t + 2*t. Let g(w) = 40*w + 732. Let p be g(-18). Calculate the highest common divisor of p and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 11*p - 46. Let q be w(3). Let v(d) = -d**2 - 3*d + 4. Let u be v(q). Solve m + u = -5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1*1\/(-8)*-24.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 10:27 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 627737*h**2 + 13274087*h wrt h.\nAnswer: 1255474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*h - 3*c + 8*c, 21*h - 2*c = 38*h - 15*h - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 - 79. Solve -x - 3 = u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + x**2 + x. Let z(y) = 916*y**3 - 687*y**2 - 687*y. Give -687*u(v) - z(v).\nAnswer: -229*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 95 = -5*f - 87, 3*f = 2*k + 7 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 40*x + 8 + 61*x - 3)*(5*x**2 - x**2 - 2*x**2).\nAnswer: 202*x**3 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -236 + 235 - 17*d**3 + 2*d - 20*d**3 wrt d.\nAnswer: -222*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.45794 - 0.04206. Which is the closest to 0.1? (a) -4 (b) t (c) 15.7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 843\/2*q**2 + 29400 + 29820*q + 3\/2*q**3.\nAnswer: 3*(q + 1)*(q + 140)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**4 + 2 + 0*i**2 - 1\/3*i**3 + 0*i. What is the third derivative of w(h) wrt h?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(1\/(-38)*2). Let p be b\/(-17) - -1 - 2. What is the nearest to 0.1 in p, 1\/4, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/((-576)\/(-152)) - 4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 20 = 167. Let b be (v + -9)\/((-8)\/(-2)). Solve 3 = -3*w + 2*r, 0 = -3*w - b*r + 4 + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110 - -10?\nAnswer: -1110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {i: 4, l: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**4\/r*r)\/r*(r\/r**(1\/4))\/r)\/(r\/r**(-2\/5)*r*r*r**6)*(r\/r**(-2\/7))**(5\/8)*r\/(((r*r\/(r\/(r*r\/r**(2\/7)))*r*r)\/r)\/r)*r\/(r*r**3) assuming r is positive.\nAnswer: r**(-2957\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 + 27 + 26 + 2*l - 52. Determine a(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -2.7, -0.11, -3\/4 in increasing order.\nAnswer: -2.7, -3\/4, -0.11, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -208, -209, -210?\n\"Answer: -b - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1474 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 580599?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*r**2\/11 + 4327006*r\/11 - 13522050\/11.\nAnswer: 2*(r + 270441)*(8*r - 25)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f = 3*f + 15, 5*z + 4*f - 203 = -181 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*g*k**3*r**3 + 2*g*k**3 + g*k*r**3 - 261*g*k*r + 38*k**2 - 2*k*r**3 wrt k.\nAnswer: -42*g*k*r**3 + 12*g*k + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 0, 3, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 682824*u**3 - 707465*u wrt u?\nAnswer: 4096944*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -160b (base 14) to base 12.\nAnswer: -2337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2. Let k(m) = -3*m + 4*m - 2*m. Let x(w) = 9*w**2 - 3*w. Let s(j) = 4*k(j) - x(j). Determine p(s(n)).\nAnswer: -162*n**4 - 36*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 - 4*g**2 + 7*g - 5. Suppose 32*j - 33 = 61*j - 40*j. What is o(j)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -288271?\nAnswer: -288268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -305937, 3\/7, -2?\nAnswer: -305937","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -21, 9, 65, 147, 255?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 + 84. Which is smaller: -200 or b?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*z - 274*z - 3228 = -48*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/200*4*5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 2*k - 3*d, -k - 108*d + 46 = -104*d. Calculate the smallest common multiple of 10 and k.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -1, -6 in descending order.\nAnswer: -1, -6, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 12*n + 44. Let g be z(8). Calculate the highest common divisor of 204 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.12 and -0.02.\nAnswer: -0.1224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -709716 divided by 714\nAnswer: -994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 63 = 3*u, -4*d - 3 - 61 = 16*u + 80 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (214*z**2 + 43*z**2 + 364*z**2)*(2 + 2 + 1).\nAnswer: 3105*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 + 0)\/(1 + 1). Suppose r - 3*r + 32 = o*g, -24 = -2*g - 3*r. What is the least common multiple of g and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3 + 66*d - 121*d + 52*d - 1. Let r(g) = 2*g - 6. Let o be r(4). Let b(u) = 7*u + 7. What is o*b(p) + 5*q(p)?\nAnswer: -p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*-2 + 5)**2 + (-5 + sqrt(252)*1 + sqrt(252))**2)*-4.\nAnswer: -8264 + 960*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 22240.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -221825*w**2 - 209*w. Let a(z) = -2133*z**2 - 2*z. Determine 209*a(b) - 2*c(b).\nAnswer: -2147*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**5 + 3*n**5 + n**5 + (-n + n + n)*(505*n - 505*n - 55*n**4) - 3*n**5 - 3*n**5 + 5*n**5 + 0*n**5 - 2*n**3 + 0*n**3 + 2*n**5.\nAnswer: -56*n**5 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*q**4 - q**4 - 2*q**4)*(0 + 1 + 1).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -10*m - 242. Let b be p(-27). Solve 13 = 3*k + b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*k = 7*r + 10, -k - 19 = -5*r. Let a(n) = 4*n**2 - 2*n. Let h be a(2). Solve -r*o - h = 4*w, 9 = -4*o + 3*o - 3*w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a718d2 (base 15) in base 16?\nAnswer: 795c59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - v = 11*y - 10, 5*y - 4*v - 44 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367, 426, 485?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 56.32837 and 0.5?\nAnswer: 28.164185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*4*(-3)\/(-12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30992654, -61985302, -92977950, -123970598?\nAnswer: -154963246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from {w: 3, x: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**5 - 57441*h**4 + 201643224*h**3 + 701820418908*h**2 + 448244075363040*h + 447542456644800 = 0.\nAnswer: -1140, -1, 10714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4538, -18197, -40964, -72839, -113822, -163913, -223112?\n\"Answer: -4554*y**2 + 3*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -9*q + 12. Let p(j) = 0 + 10*j - j**q - 11 - 2. Is p(7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 5:04 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 3*b**2 - 2*b + 4. Let z be t(-4). Let r = 9 + z. Suppose -d + r*m + 2 = -12, 5*d - 3*m = 4. Let g(h) = -5*h**3 + h**2 + h + 1. Calculate g(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 913 and 6557?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1361*f = -1345*f + 5408. Which is greater: -337 or f?\nAnswer: -337","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 6*u**2 + 17*u - 5. Let v be q(8). Suppose 0 = v*n + 998523 + 990477. What is n rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*o - 0*o - 55, -5*o + 95 = -5*z. Suppose 0 = -5*t + 31 + 34. Suppose 29 = x - t. What is the remainder when x is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d - 3. Let x be z(5). Let t(s) = -s**2 - 5*s - 2. Let o be t(-2). Suppose -o*i - 2 = -5*i. Solve 2*a - 5*k = -2*k + x, -i*a + k = -14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000522 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10390 + -5?\nAnswer: -10395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -2, -5, -14 in decreasing order.\nAnswer: -0.08, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8177 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 10*d - 10. Let m be n(11). Let u be 66\/((-1)\/(-1)*m). Let a = u - 58. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -48529*l + 2086742. Calculate p(43).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152301144 to the power of 1\/3, to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 31.9*0.07686\nAnswer: 2.451834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 17*d**2 + 12*d**2 + 55 + 23*d + d**3 - 35*d**2. Is n(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1780)\/1335*5*1\/(-8)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 957.486 kilometers in meters?\nAnswer: 957486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/((-2)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 5*f + 3, -3*f + 5*n - 149 + 132 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 2. What is the units digit of 1\/2*b\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -0.296, 51?\nAnswer: -0.296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 26. Determine h(23).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -8. Let p be (-2 + 5)\/(3\/a). What is the highest common factor of p and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 2*b - 2*b)*(-2*b + 0 + 0) + 4*b**2 - b**2 - 8*b**2 in the form d*b + l*b**2 + p and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23 (b) 2 (c) 0.4 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 11*l = -11 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4068 and 4068?\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -116, 0.1, -1\/167.\nAnswer: -116, -1\/167, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 552901974 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 30 + -10 + (-2 - -19).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 631*h - s + 37 = 630*h, 185 = 2*h + 47*s - 42*s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 2111202341?\nAnswer: -2111202335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.024391365 to five decimal places.\nAnswer: 0.02439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33325, -66650, -99975, -133300?\nAnswer: -166625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -215015551 (base 6) to base 10\nAnswer: -3875035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/10)\/(3 + (-64)\/20). What is the second derivative of -t**3 - 39 - 7*t - 4*t**z + 39 wrt t?\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2004 + 5957\/3. Let l = 2824 - 31043\/11. What is the common denominator of u and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p + 9592. Let y(a) = -8*a. Calculate y(v(i)).\nAnswer: 40*i - 76736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 70165, 140263, 210297, 280267, 350173, 420015?\n\"Answer: -32*k**2 + 70194*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)\/p)\/p*(p\/(p\/(p*p\/p**(-5)*p)))\/p*p\/(p\/p**4)*p*p\/(p**(1\/2)*p)*p assuming p is positive.\nAnswer: p**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(-2*b - 5 + 5) + 3*b - 6*b + b + (3 - 2 - 2)*(2*b + 0*b - 3*b) + (1 - 2 + 3)*(-14*b - 14 + 14)*(0 + 3 - 2 + (1 - 1 - 4)*(4 - 2 - 1)).\nAnswer: 87*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = 5*x - 3*w + 7, -3*x + w + 11 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (1 - 0)*-7. Calculate the highest common divisor of 210 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12045?\nAnswer: 3, 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 6429.6431 to the nearest ten.\nAnswer: 6430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 0*q - 824*q**2 + 0*q + 830*q**2. Let d(z) = -16*z. Determine d(j(o)).\nAnswer: -96*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156147?\nAnswer: 3, 23, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -950 + 955. Let m(v) be the first derivative of 9\/25*v**k + 0*v**2 - 8 + 3\/20*v**4 + 12\/5*v - 7\/5*v**3 - 1\/10*v**6. Determine l so that m(l) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -2394\/11, 1\/56, -12\/5, -3?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 10*z**2 - 588 + 586)*(4*z**2 - 5*z**2 + 5*z**2).\nAnswer: 36*z**4 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.08 and -6857113.\nAnswer: -6857113.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -116 + 134. What is the remainder when 177 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -35*s - 5. Give a(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 - -180. What is the common denominator of (-5)\/(15\/(-9)) - t\/85 and -7\/4?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -16 and -19137 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*a + 631 = 343 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*h - 2757263 = 2920317. What is the thousands digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 15343?\nAnswer: -15400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -15, 3, 5, 2304 in descending order.\nAnswer: 2304, 5, 3, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 1*sqrt(1088) + -3)*2 + -2 + sqrt(1088) + (-5*(sqrt(1088) + 1) - sqrt(1088)) + -3)**2.\nAnswer: 384*sqrt(17) + 9856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -12*p - 5*p**2 + 0*p**2 + 12*p**3 - 4*p**2 + 4*p**4 + 5*p**2 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/36)\/((-14)\/(-8)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -9. Suppose -4*o - 11 = -2*l - 5, 0 = 2*l - h. Let j be 6\/(-15)*(6 - o). Sort j, 2\/7, 0.4 in ascending order.\nAnswer: j, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 8448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10201002112211101 - -12?\nAnswer: 10201002112211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v + 21. Suppose 4*s - 56 - 88 = -2*b, 2*b = 2*s - 60. Calculate the remainder when (-4)\/s + 1056\/17 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12048 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2*sqrt(931) + 4 + sqrt(931) - (-1*(0 + sqrt(931)) - sqrt(931) - sqrt(931) - sqrt(931))))**2.\nAnswer: 490*sqrt(19) + 45644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -0.145, -5, -3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*(300 - 424)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2681236, 2681239, 2681242, 2681245, 2681248, 2681251?\nAnswer: 2681254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-48) + (-4087)\/8844.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4846467, -9692934, -14539401, -19385868?\nAnswer: -24232335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10519196 divided by 1706.\nAnswer: -6166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00074790381 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s**(1\/3)\/s)))\/(s\/s**(-2\/5)*s*s*s)*(s*s\/(s\/(s*s\/(s*s*s*s*s*s*s*s**(-1))))*s*s*s)**(31\/5) assuming s is positive.\nAnswer: s**(-76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-5 - -13 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.99 - -3. Let t = f - -0.09. What is the closest to t in 3\/5, 4, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2716*j + 1173339. Give z(-432).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 24 = -4*j. Put j, -1, 11, -5 in decreasing order.\nAnswer: 11, -1, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3564358998 rounded to the nearest 100000?\nAnswer: 3564400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10 - (-33)\/(-3) - (-506)\/23. Let x = 0.7 - 1. Which is the closest to w? (a) x (b) 6 (c) 2\/7 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*v**2 - 1018*v**3 + 0 + 553*v**3 - 2*v**2 + 681*v**3 as h*v**2 + n*v + g*v**3 + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*m**5 - 64759 + 2*m**2 + 64759 - 9*m**3 + 240*m wrt m?\nAnswer: -3660*m**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3\/8))\/x*x\/x**(-1))\/(x**(-8)\/x*x*x**(-2\/5)*x) assuming x is positive.\nAnswer: x**(361\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 3 = 58. Solve 2*k - m*k = s - 6, 11 = -4*k + 5*s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 0*g**2 - g**2 + 4*g**2. Suppose -2*m + 7*m + 2*n - 17 = 0, -4*m = -3*n - 9. Let k(b) = b - m*b + 4*b. Calculate h(k(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 1509*q - 4*q**2 + 1507*q - q**3 + 2*q**2 as k*q**3 + w*q**2 + z*q + i and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11102 + -120221?\nAnswer: -202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -14 + 11 + -2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 1960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15254*k = -15202*k + 4524 for k.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002118 to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3))**(-2\/3)\/((t\/(t\/t**(-2)))\/(t\/(t*t**7*t)))*(t*t*t\/(t\/t**(-4\/7))*t*t**6)\/(t*t*t**(-2\/7))**(-28) assuming t is positive.\nAnswer: t**(3191\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -512, -523, -540, -563, -592, -627, -668?\n\"Answer: -3*r**2 - 2*r - 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*n = -41, -5*n + 13 = 5*p - 27. Let o be 5*(p\/(-15) - -1). Let b(r) = -r**3 + 2*r**2 - 2*r + 1. What is b(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -154*3\/(-6)*1 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -10) + -9 + 15 + 18.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, r: 3}. What is prob of picking 3 r?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 0 = -g - 4*z, -g - 5*z = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/180 and 127\/17389110.\nAnswer: 104334660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*w**6 - 4*w**4 - 240*w**3 + 3*w**2 + 2*w - 323 wrt w.\nAnswer: -1200*w**3 - 96*w - 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-3 - -22) + -31 - -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6222*f**2 - 4227. Let q(r) = -12446*r**2 + 8454. Let d(c) = 2*q(c) + 5*s(c). What is the derivative of d(u) wrt u?\nAnswer: 12436*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - -174*(-28)\/(-21)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - 1254?\nAnswer: -1246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6b32 (base 13) to base 5\nAnswer: 440312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2 + 420518*r - 420520 = 0. Calculate r.\nAnswer: -210260, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 + 0.04697?\nAnswer: -2.15303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 1175.587?\nAnswer: -470.2348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80 - 1. Suppose 112 = -2*x + 2*u, x + f - 21 = 2*u. Is x less than -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -238, -959, -2152, -3811, -5930, -8503, -11524?\n\"Answer: p**3 - 242*p**2 - 2*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 + -18 + -142 + 26?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*d + 24*d + 1170 = 0. Suppose -595 = -d*y + 1085. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 18 = -4*b. What is the second derivative of 15*h**b + h + 0*h - 13*h - 37*h**2 wrt h?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/9)\/(1575\/(-63)))\/((504\/15)\/(-7))?\nAnswer: -1\/180","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*c**5 + 20*c**4*y - 108*c**2*y - 2*c*y - 3*c - 6*y + 3874 wrt c.\nAnswer: -340*c**3 + 240*c**2*y - 216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -31 (c) -0.3 (d) -100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 1:17 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncrrrrmffmrcrrrrf. Give prob of picking 1 f, 1 c, and 1 m.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -15. Let w = 1 + -1. Solve 0*h + 2*h = s + x, w = s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Let j(w) = 3*w**2 - 1. Let y(c) = c**2 + 16*c + 16. Let f be y(-15). Let v be j(f). Suppose -5*t + 63 = -v*t. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 194051 and 125257.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0938163865756 from -0.2.\nAnswer: -0.1061836134244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589 is divided by 294.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62*y**2\/5 + 14008*y\/5 + 904\/5.\nAnswer: -2*(y - 226)*(31*y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -76, -89, 42, 389, 1024, 2019?\n\"Answer: 12*y**3 - 97*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 2451\/18 + (-375)\/(-450). Solve -3*g = -137 + u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15001655 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {x: 4, j: 1, e: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -28cb6 (base 13) to base 4\nAnswer: -102301023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2788600915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1\/5, 2, 1, 3\/4, 2.332?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13500571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6042904383 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210120 (base 3) to base 10.\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 8. Let m be r(0). What are the prime factors of (-3 + 18)\/((-6)\/m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17e (base 16) to base 4\nAnswer: 11332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 6:36 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1450.5 (b) 3 (c) 36.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/u**(-14\/9))\/u)**40)**(-50) assuming u is positive.\nAnswer: u**(-46000\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 274304858?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 minus 0.0429595?\nAnswer: -0.1129595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2068\/(-10))\/((-129932)\/88590).\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**5 + 556*n**4 + 15164*n**3 - 304204*n**2 + 38304*n + 9357120 = 0.\nAnswer: -76, -5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58120 and -0.3.\nAnswer: -17436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/576 and 71\/2160.\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15*1*(-91)\/(-21).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6684, 6685, 6686, 6687, 6688, 6689?\nAnswer: 6690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 945*z**2 - 312*z**2 - 313*z**2 + 318*z - 317*z**2 - 318*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238 - 1162*l + 1164*l + 118.\nAnswer: 2*l + 356","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - v**2 - 5*v + 4. Calculate g(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47379 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 4. Suppose q = -0*o + o - 2. Suppose -29 - 1 = -o*z. Solve -3*s + 4*i = z, 2*s = -3*s + 5*i - 20 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 10687, 328, 0.21, 0.4?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3880142 is divided by 2851.\nAnswer: 2782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 7:20 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -26, -48, -74, -104, -138?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69341061.\nAnswer: 3, 23113687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 9 = 3*n, 4*n = -0*t - 5*t - 12. Suppose -4*h + b + 2*b + 98 = t, -5*h = 5*b - 105. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-77 + 12*i + 77)*(-3*i + 4*i + i) - i + 0*i + 14*i**2 - 12*i**2)*(-i - i**2 + i).\nAnswer: -26*i**4 + i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 172*b**3 + 0*b**2 + 164*b**3)*(25*b - 90 + 90).\nAnswer: -200*b**4 + 25*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*h - 13, 0 = -2*h - h - q - 7. Let o be 1 + (h - 36\/(-4)). Suppose t - o = 3*t. Which is bigger: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/37072 and -123\/280.\nAnswer: 185360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 9*a + 5*h + 100 = 0, 0 = -2*h - 8. Let z(c) = -c**3 + 7*c**2 + 1. Let w be z(5). Let d = w + a. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/91)\/(89\/178)\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 81565927 to the power of 1\/2, to the nearest integer?\nAnswer: 9031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*r**5 + 273*r**4 - 901*r**2 - 3 wrt r.\nAnswer: -240*r**2 + 6552*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g + 1. Let d be z(-6). Let r be 190\/8 + 15\/(-20). Let s = d + r. Solve l = -s*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aibbooboaibb. Give prob of picking 1 i, 2 b, and 1 o.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t + 22. Let y = -15564 + 15565. Let z(h) = h. Determine y*x(n) - 6*z(n).\nAnswer: 2*n + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1469928 millennia to decades.\nAnswer: 14.69928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2439834\/553 - -4412. Let m be ((-542)\/4)\/((-24332)\/(-32)). Let y = z - m. What is the second smallest value in y, -0.3, 3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 9:17 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -51*g - 73*g - 14 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 4*o = 3, -2*o = -4*b + 9326. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + 3. Let l be o\/49 - (-11)\/7. Suppose 2*i + l*i - 88 = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25938 + -16477. What are the prime factors of a?\nAnswer: 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d**2 + 19*d + 8. Give m(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -59 + (12 - 0 - (38 - (30 + 7)))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 209767.5 rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - f - 714 = 0, -5*n + 722 = -0*f - 3*f. Suppose 3*h - n + 22 = 0. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*w - 20*w. Suppose w*n - 3045 = -t + 5*t, -2*n + 2023 = -5*t. List the prime factors of n.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -21. Let d = -38.7 - -7.4. Which is the nearest to x? (a) 2 (b) 2\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -543221?\nAnswer: -543222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (sqrt(99)*-2 - sqrt(99)))*-1)\/sqrt(9).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 9*u + 4. Calculate the remainder when 9 is divided by i(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 10417*r - 41649. Calculate k(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 1209 = -v - 204*p + 183*p, -4*v - 46 = -p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12986.4 - 12986. What is the second biggest value in -2\/11, 2, 41.7, m, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 11, 21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 9*x = 0, 3*m + 3243*x = 3241*x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2. Let u(x) = x**3 + 3*x**2 + 2*x - 1. Let l be u(-2). Let s = 1 + l. Let h(m) = -m**2 + s*m**2 - m**2. What is h(g(d))?\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6321, 25745, 58117, 103437?\nAnswer: 161705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -48 (b) -3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -846542 divided by 2.\nAnswer: -423271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, q: 5, e: 7}. What is prob of sequence eaaq?\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5)*b*b\/b**(3\/2))\/(b**0*b)**(2\/41) assuming b is positive.\nAnswer: b**(349\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1312\/(-72) - (-2)\/9. Let t be g\/(-24) + (714\/(-8))\/3. Is (1 - t)*24\/60 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 7200442.\nAnswer: -2\/3600221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -175 - -174.9. What is the smallest value in 3\/7, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 7 + 58*i - 10*i.\nAnswer: 48*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 501294208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2350, 16, -5, -3 in descending order.\nAnswer: 2350, 16, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1373, -1374, -1375, -1376?\nAnswer: -1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 2358.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -80, -79, -78, -77, -76?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -151220265 (base 7) in base 12?\nAnswer: -3441546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15606, -15595, -15570, -15525, -15454?\n\"Answer: h**3 + h**2 + h - 15609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 13162.\nAnswer: 2\/6581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**4 - 462753*b**3 - 236*b**2 + 108167*b?\nAnswer: -48*b - 2776518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 5*z**2 - 7*z - 5. Let o be q(-6). What is the first derivative of -o - 2*f**2 + 7 + 0*f**2 wrt f?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1264)\/(-18) - 52\/234. Let g = k + -56. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -145.3, 1, 0, -28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18680814983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 64, 161, 348, 655, 1112?\nAnswer: 1749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + -0.7. Let o = -1 + 1. Which is the closest to o? (a) 0.1 (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 - -4) + -1 - -6) + (-744)\/108.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 28. Let w be m(-12). Let a be w\/30*27\/(-2). Let b = 45 + -27. What is the highest common divisor of b and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjsj when four letters picked without replacement from {s: 2, j: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 68213 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, -3, -14.7 in descending order.\nAnswer: -2, -3, -11, -14.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**2 - 3*h - 1. Let o(g) = -13*g**2 - 8*g - 3. Suppose s - 3*s = 6. Suppose 9*t + 16 = 88. Let x(v) = s*o(v) + t*a(v). Determine x(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 15*c. Let o(v) = 113*v + 1. Give x(o(k)).\nAnswer: 1695*k + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (1 - -1) + -226 + 244 + 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m + 4*i + 140 = 0, -5*m - i + 264 = 0. Let n be (5 - (-1 - -1))*1. Suppose n*p = p + m. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Let n = 2.2 - 2. What is the nearest to 2\/7 in -2, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**1\/p))**(-18)\/(p**(-8\/11)*(p\/(p*p**(-14)*p))\/p*p))**(8\/17) assuming p is positive.\nAnswer: p**(-2664\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (313 - 255) + (-57 - -3) + 97 + -1.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73617584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -2033001?\nAnswer: 2032330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*r**2 + 13*r**3 - 20*r**3 + 6*r**3 + 8*r**3 + 69 - 70 in the form c*r**3 + y*r**2 + l + s*r and give y.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4778 (base 10) in base 9?\nAnswer: 6488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 17 = 4*f. What is the smallest common multiple of f and 14*((-18)\/(-21))\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 37\/5 of a day?\nAnswer: 10656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -2001100012000221?\nAnswer: 2001100012001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -844848 (base 9) in base 13?\nAnswer: -1477b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -34, 0.03 in decreasing order.\nAnswer: 0.03, -8, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(-7))\/u)\/((u*u\/u**(2\/9))\/u))\/(u*u\/u**(-1))**(-6))\/(u*u\/(u\/u**(-1\/3))*u**(-1)\/u)**(9\/7) assuming u is positive.\nAnswer: u**(1634\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*m - 62*m + 109*m - 153 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**3 + 1 + 1 - w**3 + 6*w**3 - 5*w in the form c*w**2 + t*w + s*w**3 + q and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 + 79*l - 48. Calculate the remainder when 232 is divided by c(-27).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27027 divided by 273.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1251351\/8 - -155776. Let x = t - -653. Find the common denominator of x and -29\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 7:25 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - 2. Let k(d) = 3*d - 4. Determine 11*h(u) - 6*k(u).\nAnswer: 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.3999588 + 23.4. Round r to six dps.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*j + 10 - 4, 2*j = -d - 2. What is the first derivative of 1 + 6*l - 1 - d wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17972, -0.3, -0.054 in ascending order.\nAnswer: -17972, -0.3, -0.054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 + 390. Let y be 2\/(4\/(-2)) + 6. Suppose -2*j + y*j - b = 3*w, 20 = 5*w. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/48 and 113\/46356?\nAnswer: 185424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y + 92 = 0. What are the prime factors of y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**9\/1512 - 3*i**8\/280 + 9*i**7\/140 - 3*i**6\/20 + 17*i**3 + 9. Let j(a) be the third derivative of t(a). Factor j(y).\nAnswer: 2*y**2*(y - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -295.58 - -951703.9.\nAnswer: 951408.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19207 - 19206.87. What is the smallest value in o, -0.07, -13\/2?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 y, and 1 d when four letters picked without replacement from pyytdyt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a = -1095. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 255 in 24, 2\/5, 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*s - 36, -6 = 3*s + 5*g - 2*g. Let n be 2\/(-3)*(-839)\/2. Let i = -286 + n. Is i less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 = 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 146*n**6\/15 + 969*n**2\/2 - 1327*n. Differentiate j(l) wrt l.\nAnswer: 1168*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25, -7, 17, 41, 59?\n\"Answer: -l**3 + 9*l**2 - 2*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2159 - -3640. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/(-19404)*714*(-18)\/(-15)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 4*k - 2. Let a be h(-4). Let c(s) = -23*s**3 + 2*s**2 - 2*s - 2. Is c(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 397655 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-510))\/(2\/(-12))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((621 - 639) + (3 - 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*c + 322 = 168*c + 176*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27, 5, 0.4, 9\/7, 1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 - 1.8. Sort u, -4, -5 in decreasing order.\nAnswer: u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 - -62. Suppose -2*r - 11 = -2*h + i*r, -4*h = r - 11. Suppose 4*a - 4*t = 9344, h*a + 2*t - 2333 = 2*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.2 - -37.27?\nAnswer: 65.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -4, -1\/3, -2\/61, -10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*y - 8 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 17*o**2 - 40*o - 22. What is h(-19)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w. Let f(q) = q**2 - q - 2. Let j(k) = -470*k**2 + 376*k + 752. Let d(u) = -376*f(u) - j(u). Give a(d(t)).\nAnswer: 376*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2\/13, 11.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c + 1 + 4 - 5 in the form p*c + k and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.7120034 to 3 dps.\nAnswer: 24.712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6 = 2*l - 3*l, -3*l = 4*m - 20. Let i(n) = 8*n - n**3 + m*n**3 + 0 + 0*n**3 + 2 - 7*n**2. List the prime factors of i(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22348928 is divided by 94?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 0 + 0)*(0*p + 3*p - p)*(-46 + 3 - 37).\nAnswer: 320*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.021 + -20.079. Let d = i - -20. Let z be ((-2)\/10)\/((-1)\/(-1)). Put -0.3, z, d in descending order.\nAnswer: d, z, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3392 by 32.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7277 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -959, -7, -5, -20?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a*r**3 + 3*a*r**2 + 4*a*r + 346*a - 31*r**3 - 2*r**2 wrt r?\nAnswer: -36*a*r + 6*a - 186*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*r + 3*r = 250, -p + 2*r = 52. What is the common denominator of (21\/p)\/((-5)\/220) and (-9)\/(-1)*(-46)\/48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: a (base 16) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26.11405 - 332.14725. Let d = 0.0387 - b. Round d to the nearest ten.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2 - 25*s + 24 = 0. Calculate s.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67 and 1 - (-12 + (-30)\/((-30)\/6))?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/7 - 3*c**4\/7 - 23*c**3 - 297*c**2\/7 + 160*c\/7 + 300\/7 = 0. What is c?\nAnswer: -10, -2, -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1311200 by 5.\nAnswer: 262240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1*r)\/r**(-8)*(r\/((r*r**(-10)\/r)\/r))\/r*r*r**10)**(-48) assuming r is positive.\nAnswer: r**(-1536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 - p**4 + p**4)*(-p - 3*p + 3*p) + (-3 - 2*p**4 + 3)*(3 - 12*p + 15*p - 5*p).\nAnswer: 5*p**5 - 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-4) - 0 - 3. Sort -5, l, 3.\nAnswer: -5, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 1. Let y be x(-1). Let c(l) be the first derivative of -l**3\/3 + 7*l**2\/2 - 5*l + 4. Let g be c(5). Put g, y, 2 in increasing order.\nAnswer: y, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 128 = 148 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68464 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4050 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**0))**(-9\/10))**(-3\/2)\/(((y**0\/y*y)\/(y*((y**(-2\/11)*y)\/y*y)\/y))\/(y**(-2\/13)*y\/(((y*(y*y*y**(-2)\/y*y*y*y)\/y)\/y)\/y))) assuming y is positive.\nAnswer: y**(238\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21468899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -43. Solve 5*a + 5*t = -10, -8*t + r*t - 34 = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.59277809 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.462353 litres?\nAnswer: 6462.353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 5, 6\/17?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -116.9 + 117. Suppose -y = y - 6. Suppose 20 = h + 3*x, y*x + 8 + 5 = 2*h. Which is the closest to 0.1? (a) i (b) h (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331183429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1664*w**2\/11 + 8234*w\/11 - 6312\/11 = 0.\nAnswer: 789\/832, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, w: 1, f: 1}. What is prob of sequence wk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(4131)*-2 + sqrt(4131))\/(sqrt(9)\/(sqrt(54)\/sqrt(2))))**2.\nAnswer: 309825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 32. Suppose -52*l = -47*l. Factor l*o + 1\/2*o**4 + 1\/2*o**v - 1\/2*o**3 - 1\/2*o**2 + 0.\nAnswer: o**2*(o - 1)*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1*5\/(-15))\/(2\/(-642))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/(-6))\/((-18)\/27). Let l be 934\/12 + x\/(-42). Suppose -l = -20*a + 17*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 73 - 67. Let t(l) be the second derivative of 0*l**2 - 1\/10*l**5 + 4\/3*l**z - 1\/2*l**4 + 7*l + 0. Factor t(v).\nAnswer: -2*v*(v - 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13305 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 765 = 52*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27001 = 31*p - 62*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.1682 rounded to 1 decimal place?\nAnswer: -75.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 623\/60790 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.5 - 0.5. Which is the nearest to -0.1? (a) -1 (b) 3\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/11)*y**(-3\/4))**31\/(((y\/(y*y\/y**3))\/(y\/(y*y\/(y*y\/(y*y\/(y*y*y**(-4\/7))*y)))))\/(y\/y**(2\/7))**(-22)) assuming y is positive.\nAnswer: y**(-4981\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*x - 5*b + 5, 4*x - 16 = -3*b. Let z be 108\/27 - (2 - x)*4. Solve 6*q + 17 - 47 = z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 + 748\/7. Let s = 1325\/21 - 63. Let v = -8\/21 + s. Sort 1, m, v in decreasing order.\nAnswer: 1, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**2 - 480*c + 11797. Calculate v(-141).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1573) - (sqrt(1573) + 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*12\/1*1900\/(-1140)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00616274 rounded to four dps?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19.7 (b) 0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5665730 is divided by 1133140?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(931))**2 + 4.\nAnswer: 8383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (67\/(-37587)*-51)\/1\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -631800 divided by 4860\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -172, -5, -2, 4.\nAnswer: -172, -5, -2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**3 - 2*r**3 + r**3 + (r**2 - 2*r**2 + 0*r**2)*(4*r - r - 4*r) - 17*r + 31*r**3 + 17*r.\nAnswer: 34*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c + 9168. Let t(i) = 367. Let u(n) = -d(n) + 25*t(n). Let b(h) = -3*h + 4. Let q be b(3). What is u(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19146, 76581, 172336, 306411, 478806, 689521?\nAnswer: 938556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -35. Let w be 2 + 6\/(-4)*-2. Suppose -w*p = 4*t - 217, 4*p = -0*t + 5*t + 190. What is the highest common factor of i and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*v. Let p = -905\/6 - -1847\/12. What is the common denominator of (-2)\/(v - 32\/190) and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -836191*-0.4\nAnswer: 334476.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 142391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 0.1 (b) -4 (c) 89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/25*1)\/(3\/45).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n**2 - 2962*n + 29329. Calculate i(413).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3107943 litres to millilitres.\nAnswer: 310.7943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 174898 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) -1 (b) -10221 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*p + 650926, 15*p - 19*p + 5*v + 1301855 = 0. What is p rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*3\/12*10. Let k(h) = -3*h**2 + 2*h - 2. Let p be (-13)\/2 + -1*1\/(-2). Let f(n) = 4*n**2 - 2*n + 3. Give p*k(j) + u*f(j).\nAnswer: -2*j**2 - 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/((-1365)\/(-616)) + (-6)\/45. Let z be (22\/154)\/((-21)\/u). Are -1 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148 divided by -1\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 980068?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = 8*b - 3*u, 18*u + 26 = -2*b + 19*u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/18)\/((-7)\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.473162l?\nAnswer: 5473.162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -3 (c) 3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/11 + (-51)\/(-1309).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2864834, 2864881, 2864960, 2865071?\n\"Answer: 16*k**2 - k + 2864819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -4 + -1 + (4 - (-2 + 6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.9, 0, 2965618 in increasing order.\nAnswer: 0, 2.9, 2965618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 80*a**2. Let v = -2617 + 2604. Let p(g) = 8*g. Let h(i) be the second derivative of 17*i**3\/6 + 2*i. Let s(m) = v*p(m) + 6*h(m). Calculate s(z(k)).\nAnswer: -160*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 2. Let x be q - (-18 + (-1 - 0)). Let d be (-18)\/x + 2\/4. What is the third biggest value in d, 5, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmgmmtttmtgtmmmtt. What is prob of sequence mgg?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4664873.211 rounded to the nearest one hundred?\nAnswer: -4664900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 divided by -8?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**8\/168 + 85*u**7\/42 + 11057*u**5\/60 + 117*u**2 - 18*u. Find the third derivative of q(f) wrt f.\nAnswer: 120*f**2 + 10200*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 1\/2 (c) -22 (d) 1 (e) -4\/5 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*w**2)*(-4*w**2 + 4*w**2 + 4*w**2) + 7*w**4 + 5*w**4 + 4*w**4.\nAnswer: 24*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.6 (b) 64 (c) -0.3 (d) 0.5 (e) 96\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4799*k - 6. Let t be f(-1). Suppose 573 = 4*u + t. What is the hundreds digit of (-3)\/(54\/4) + u\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 144280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150368.\nAnswer: 2, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32133 (base 9) in base 11?\nAnswer: 14a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 3*q - 9. Let p be t(6). Suppose -3*i + p + 4 = -2*a, -3*i - a = -25. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72012 is divided by 21881.\nAnswer: 6369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -1098619?\nAnswer: -219723.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 420.7558 to the nearest ten.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/4*29\/(1827\/36)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i**2. Let f(n) = 3*n**2. Let j(r) = -5*f(r) - 3*z(r). Let w(b) = -3*b**2. Give w(j(h)).\nAnswer: -27*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -53*h**4\/24 - 55*h**3\/6 + 2353*h**2. Let u(j) = j. Calculate u(n(s)).\nAnswer: -53*s - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a*t**2*z - 1846*a*t**2 - a*t - 15*a - 350*t**2*z + 2*t**2 + 9*t*z + 5*t + 2*z with respect to a.\nAnswer: 4*t**2*z - 1846*t**2 - t - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/45*(-3)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010210 - 10102100?\nAnswer: -11120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-3 - 5) - (2 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -13. Suppose -h + j*h = -5*c + 124, 3*h - 100 = -4*c. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1076001*a**3*h**2 + a**2*h**2 + 33*a**2*h + 11*a*h**2 - 21*a*h + a wrt a?\nAnswer: -6456006*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 148 + -203. Let j = n + 221\/4. Factor 0 + j*z**3 - 1\/4*z**4 + 0*z - 1\/4*z**5 + 1\/4*z**2.\nAnswer: -z**2*(z - 1)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 267 - 1691 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -25*a**3 + 11*a**2 + 1 + 6 + 11*a**3 + 13*a**3. Let q = -7 - -18. Give n(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((9\/2)\/3). Let q = -26 - -33. Suppose -r*t + q*t = 15. Solve -f + 12 = t*o, f + o - 5*o = -9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2612 (base 13) to base 6\nAnswer: -41035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60357003 and 4974?\nAnswer: 2487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*l - 2*l - 42 = 0, l - 15 = -2*m. Suppose -x + 432 = 5*x. What is the greatest common factor of m and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*f - 21, 3*r - 2*f - 75 = -12. Suppose 9 + r = 3*v. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3679310 divided by 15997\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*i + 4, 3*n + n + 5*i = 19. Let c(z) be the third derivative of -z**5\/60 + z**4\/24 + 3*z**2. What is c(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 28*u - 72.\nAnswer: 4*(u - 2)*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1721, 3, -3\/4 in decreasing order.\nAnswer: 1721, 3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v. Let q(n) be the first derivative of n**2\/2 + 33. Determine t(q(y)).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2736) + -3)*5.\nAnswer: -5 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/28870094 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126518?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651*i - 36468 = -1421*i - 1149*i + 38373 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -6. Let d = m - 5. Suppose d = -4*x + 2*x + 2, 3*r - 173 = -2*x. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -48*s**2 - 2. Let j be q(-7). Let w = 44689\/19 + j. Find the common denominator of 99\/2 and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23424 is divided by 4021?\nAnswer: 3319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*j**2 - 13*j**2 - 11*j**5 + (-1 + j**2 + 1)*(2*j**3 - 1 + 1).\nAnswer: -9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -80014132, -80014138, -80014144, -80014150, -80014156?\n\"Answer: -6*m - 80014126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 745 + -723. What is the highest common divisor of q and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37693*-0.137.\nAnswer: -5163.941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 1 + (-48 - 46 - -67).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/4292 and 69\/4144?\nAnswer: 120176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*((sqrt(80) + 0 - sqrt(80))*5 - sqrt(80)))**2.\nAnswer: 103680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3 - 24864*g**2 - 77277312*g = 0?\nAnswer: -6216, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -25401\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - g - g)*(-5 - 2*g + 5) + (-6*g + 3*g + 4*g)*(-5 + 1 - 5)*(5*g - 2*g + 4*g) in the form f*g**2 + i*g + t and give f.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -4*v + 14. Let d(i) = -2*i - 12. Let q be d(v). Suppose 5*s + q - 78 = -5*z, -2*z + 27 = 3*s. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 9, f: 9}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -268\nAnswer: 80.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -389 + 571. Differentiate t*d**4 - 360*d**4 + 47 + 174*d**4 + 10*d**2 + 6*d**2 with respect to d.\nAnswer: -16*d**3 + 32*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.6 - -11. Let x = 0.795 - 0.64. Let t = x + -0.055. Sort t, -1\/3, j in descending order.\nAnswer: j, t, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 210 + -215. Which is the closest to -0.2? (a) r (b) 3 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 210 or 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuxf when four letters picked without replacement from {f: 2, x: 6, u: 1, z: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 less than -0.0415?\nAnswer: -0.0815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, s: 2, d: 6}. Give prob of picking 3 d.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30669*t**3*y**3 - 2*t**3*y**2 - 3773*t**3*y + 2*t**2*y**6 wrt y.\nAnswer: -184014*t**3 + 240*t**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -181 + 200. Is j smaller than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*((sqrt(1100) - (1 + sqrt(1100))) + -3 - sqrt(1100)))**2*-3.\nAnswer: -53570 - 3840*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -361*d**3\/3 - 520486*d**2 + 328764*d - 51912.\nAnswer: -(d + 4326)*(19*d - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -222, -358, -516, -702, -922, -1182, -1488?\nAnswer: -1846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-35)\/(v**29\/v) assuming v is positive.\nAnswer: v**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 949.8187 centuries?\nAnswer: 94.98187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 17*j**2 - 10*j + 77. Let t be s(-18). Put 6, 5, 9, t in descending order.\nAnswer: 9, 6, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 + 2*s**4 - 2*s**4 - 2 + (2*s - 2*s - 18*s**4)*(-16 + 8 - 16).\nAnswer: 431*s**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 3*r - 2 - r - 6*r.\nAnswer: -4*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3064.022ug?\nAnswer: 0.000000003064022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 - -170. Suppose 4*r - 52 = f. What is the greatest common factor of 57 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8646 by -6.\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - -1)\/(-3)*-2. Solve u*j - 23 = -3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a + 116*a**2 + 93*a**2 - 196*a**2 + 13*a.\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8549\/6 + 1425. Suppose 5*h - w = 10, 9 - 1 = 4*h - w. Suppose -1\/3*k + t*k**h + 1\/6 = 0. Calculate k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/66)\/(2\/((-8)\/3))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9, 4, 2\/13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47924902 to the power of 1\/3, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {g: 12, c: 6}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*r + 45. Suppose -r*l = -4*l - 280. Let m(k) = k**2 + 2*k + 4. Calculate the remainder when l is divided by m(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -55, -5, -10, -1, 1.\nAnswer: -55, -10, -5, -1, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*a - 30 = 0, -2*y - 7*a - 31 = -2*a. Calculate the common denominator of y - -3 - (-38)\/(-36) and 89\/34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*o - 6, -12 = 4*x - 0*o - o. Does 28 divide (-59)\/x + 1\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 1:51 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 16. What is s(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express q + 23 + 0*q**2 - 8 - 6*q**2 - 2*q**3 - 14 as j*q**3 + c + u*q**2 + f*q and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 20. Suppose -2*m + y*z + 3 - 17 = 0, -3*z = -3*m - 6. What is the least common multiple of m and 17?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p + 80. Suppose 508 = 4*f - p. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -50158, -100190, -150222, -200254, -250286, -300318?\n\"Answer: -50032*k - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdedvnty. What is prob of picking 1 d and 1 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + f**2 - 2*f**2)*(-8753*f + 237*f**2 + 8753*f) + 4*f**3 - 4*f**3 - f**4 - 2*f**4 + f**4 + 4*f**4.\nAnswer: -235*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36130 and -1.\nAnswer: -36130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -48684 + 601*u**2 - 48679 + 97359. Let o(r) = 5*r. Determine v(o(b)).\nAnswer: 15025*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g = 71*g - 13*g - 924. Solve -3*v + 25 = 5*h, -5*v + 3*h + g = 23 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 3888?\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12212 + -10?\nAnswer: -12222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*z - 53. What is the least common multiple of z and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 977 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718254907 to the power of 1\/2, to the nearest integer?\nAnswer: 41452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57195740 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -312 - 308 + 936 - 510*z - 316 in the form i + r*z and give r.\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011110111 (base 2) in base 5?\nAnswer: 11014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/233, 0.2, -4, 0.02, 1.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 21475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 3*o**2 + o - 8*o**2 + o + 2*o. Let d(v) = v**3 - 5*v**2 + 4*v - 1. Let f(u) = -3*d(u) + 2*z(u). Suppose 4*y - 3*y - 2 = 0. Give f(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 15506011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1 + 10*j + 0 - 4*j. Is t(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 + -90. Suppose u + 4*t - 17 = 0, -4*t = 10 - r. Let k(x) = 8*x**3 - x + 1. Calculate k(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.962541 centimeters in micrometers?\nAnswer: 99625.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 3. What is the third biggest value in 0.1, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2 = 0, 16*g = -3*n + 14*g + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -424*g*t**2 - 5*g*t + 35325*g wrt t?\nAnswer: -848*g*t - 5*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2759\/11 + 4\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 166.26 + -162. Let r = 0.49 + -0.15. Let f = r + y. Round f to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 + 12*l**2 + 2*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4\/o*o*o*o**(-4\/7)*(o*(o\/o**(2\/3))\/o*o*o)\/o**(-4))\/((o**1)**(11\/4))**(-32) assuming o is positive.\nAnswer: o**(2074\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**2*n**2 + 201*i**2 - 6*n**2 - 368*n - 2 wrt i.\nAnswer: -2*i*n**2 + 402*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85438147 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1 - -4)*-1)\/5. Let s = 306 + -295. Which is the nearest to s? (a) -0.5 (b) w (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1307 divided by -3294.\nAnswer: 1307\/3294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -403069*f**3*r*v - f**3*r + 3*f**3*v - 2*f + 439953*v wrt r?\nAnswer: -403069*f**3*v - f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, -210, -830, -2042, -4044, -7034?\n\"Answer: -33*m**3 + m**2 + 2*m + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**4\/12 + 2*p**3\/3 + 3*p**2\/2 - 4*p + 3. Let l(o) be the first derivative of y(o). Calculate l(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 + 262974*y\/5 + 788832.\nAnswer: 2*(y + 15)*(y + 131472)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 8*v**2 + 2*v - 3. List the prime factors of t(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(12)\/sqrt(4))**2 - (sqrt(15)\/sqrt(5) + 4)) + (sqrt(96)\/sqrt(8))**2*4.\nAnswer: 7*sqrt(3) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 15, -8*l = 4*t - 3*l - 33. Let h be 0\/6 + (5 - t). Suppose -18 = -3*d - h*a, 0*d - 4*a + 18 = -2*d. Solve -9 = 2*k + d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79093 and 616.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/40 + (-97)\/(-4). Let d be (-1 - -5)*(-15)\/c*-16. What is the highest common factor of d and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + 3 + (sqrt(125) - (2 + sqrt(125))) - (-2 + 3 + sqrt(125) + sqrt(125) + 0))**2*-3.\nAnswer: -1499 - 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 982961, 982819, 982677, 982535, 982393, 982251?\n\"Answer: -142*f + 983103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10.09 times -0.5\nAnswer: 5.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -2 - 0) + (12 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, q: 5, b: 1}. What is prob of sequence iqb?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67.8 - 0.2. Let h = -202 - j. Let d = -133.999939 - h. Round d to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 378637.17 + 0.56\nAnswer: 378637.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*s = 36, 5*z + 85 + 43 = -2*s. Let w = -21 - z. Sort 4, w, 1 in decreasing order.\nAnswer: 4, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 125, 119, 111, 101, 89?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1354\/15067 + -6\/247. Are g and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54091285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 2*k**2 - k - 5. Let i(v) = -237*v**3 + 434*v**2 - 5*v - 26. Let w(f) = i(f) - 5*x(f). Find the third derivative of w(l) wrt l.\nAnswer: -1452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15497269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*y**3\/7 + 702*y**2\/7 - 888*y\/7 + 178\/7.\nAnswer: 2*(y - 1)*(y + 89)*(4*y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 5*b**2 + 3*b + 1. Suppose c + 0*c + 3*c = 0. Suppose c = -4*w + 47 + 17. Calculate the remainder when a(4) is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 23 - 21. Sort 4, -1, s, 5.\nAnswer: -1, s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, 2, 2\/11, 1\/8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 201\/4020*(-4)\/((-8)\/(-15))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-6084)*-6*(-90)\/(-1).\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 4*h - 12. What is y(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 13 - 11. Let b be 2\/8 + (1 - u). Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -22. Let z = -11 + n. Let s = 3.06 - 0.06. What is the second biggest value in -7, z, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Let u be (-2)\/f - 13\/3. Let l be 84 + 14 + -10 - 83. Put u, l, -38 in decreasing order.\nAnswer: l, u, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*k = 179*k - 506 - 4470 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/5 (b) -0.1 (c) 1\/7 (d) -4 (e) -3.6 (f) 577 (g) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) -102 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -113.56 (b) 2\/3 (c) 0.4 (d) 132\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q - 2*q + 5 - 5*q. Let w be 6 - 5 - (-3 - 1). Let t(u) = -u + 4. Give w*t(z) - 4*f(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 795 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + (-12 - -22) - (-4404)\/232) + -12?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + 0 + -5 - sqrt(468))**2 + 1)*-5.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -13. Suppose -2*i + 15 = 2*y + i, 5*y - 72 = 4*i. Suppose 5*t - 238 - y = 0. What is the remainder when t is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) -1 (c) 2\/9 (d) 0.56 (e) -100\/7 (f) -1\/2 (g) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 - 4*m + 4. Let v(w) = -11*w**2 + 9*w - 9. What is 5*j(l) + 2*v(l)?\nAnswer: 3*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 39 = 12*c - 9*c, o + c = 5. Calculate the remainder when 143 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 84 = l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 158 = 3*l, 5*l = 2 - 7. What is the remainder when 152 is divided by q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -208*w**2 - 1066*w. Let m(u) = -3*u. What is z(m(y))?\nAnswer: -1872*y**2 + 3198*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t - 3*w = 3, -4*t + 22 = -5*w. Suppose -3*i = 24 + t. Let g be (-14)\/(-18) + (-2)\/i. Solve -z + 4 = g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t**2 + 34*t**4 - 82\/5*t**3 + 0 - 8\/5*t = 0 for t.\nAnswer: -2\/5, -2\/17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 319a - 102?\nAnswer: 3098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcvx when four letters picked without replacement from xcvcvcs?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 584*f - 249*f + 140*f + 353*f in the form h*f + o and give h.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**4 + 61*b**3 + 418 wrt b.\nAnswer: -12*b**3 + 183*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38, 53, 72, 95, 122?\n\"Answer: 2*c**2 + 9*c + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.04 - 0.04. Let i = t - 2. What is the nearest to 0.1 in i, -1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, d: 2, u: 7, j: 7, k: 2}. Give prob of sequence dn.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, g: 4, n: 2, j: 1, c: 1, i: 1}. What is prob of picking 1 i, 1 g, 1 t, and 1 c?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d + d)*(-d**3 - 20*d + 20*d - 47*d**2).\nAnswer: 2*d**4 + 94*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-258)\/(-5 + 28\/12). Let c = 97 - g. Determine a so that 1\/4*a + 1\/2 - c*a**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351153771 a multiple of 629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -177 - -362. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 723760 and 651384.\nAnswer: 6513840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -2\/27, 1\/3, -17?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16935940891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1958, -7, 26 in increasing order.\nAnswer: -1958, -7, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 938 divide 3117702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 12. Let u be b(4). Let f be u + -1 - (-5 + 4). Let j = 24 + f. What is the highest common factor of 16 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 38812903.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/14*(-119)\/(-34) - 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 473*p**2 + 1330*p - 3488077 wrt p.\nAnswer: 946*p + 1330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - y + 34 - 25, 0 = v - 4*y + 21 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50880 = -74*s + 14388. Calculate the remainder when s is divided by 277.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 264006?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(700) - -4*sqrt(700))*-5.\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 6*o - 4. Does 2 divide r(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 16*d - 10. Let i be (3 - 0)\/(24\/64). Is 12 a factor of j(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.1 - -2.6. Let s = -224\/3 - -76. What is the third biggest value in -0.1, s, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 8:26 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*b - b**3 + 8*b**3 - 8*b - 8*b**3 - b**2 in the form d + x*b + g*b**3 + t*b**2 and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 949 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2342389\/89 - 26319. What is the fourth biggest value in -2, -0.5, -3, i, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13*l**3 + 228*l**2 - 518*l + 105. Calculate n(15).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1111 = 203*o + 6998 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 0*b**2 + b - 1\/5*b**5 + 0*b**4 + 0*b**3 + 1. Find the first derivative of x(q) wrt q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 62 = -4*w, -5*x - w = -x + 108. Let n(l) = -l**3 + 6*l**2 - l + 12. Let d be n(7). Let s = x - d. Solve s = -q - 3*p, 0*p - 4*p = -5*q + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1881204 and 15.\nAnswer: 9406020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -63*q**2 - 29597*q + 6117. Determine o(-470).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**9)\/l**(-9))\/(((l*(l\/((l**9\/l)\/l))\/l)\/l)\/l*l*l**(-2\/21)))**(-25) assuming l is positive.\nAnswer: l**(-13700\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-4))\/((-28)\/(-4))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**2 + 12*h**2 + 12*h**2 - 3*h**2 in the form d*h + s*h**2 + f and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -363.8.\nAnswer: -359.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 45688743 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*y - 55 = 31*y. What is the remainder when 19 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-10)*((-410)\/60)\/41\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 182*o - 417 + 1251 - 416 - 418 as f*o + b and give f.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 5*d + 1. Let p be r(-5). Let g = 4 + p. Suppose g*w = w + 4. Calculate the smallest common multiple of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/12*(-3 - -1). Let c be o*(-10)\/(-24)*4. Suppose t - 159 = -5*w, 2*t - 2*w + 477 = c*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1, -4, 5 in descending order.\nAnswer: 12, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-16\/3)*b*b**(-12)*b assuming b is positive.\nAnswer: b**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*f**2 + 15*f + 18.\nAnswer: -3*(f - 2)*(4*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -155 (b) 4\/3 (c) -57 (d) 84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - -2*(sqrt(3) + 0 + sqrt(3)) - -6*-1*sqrt(3) - (((-1*sqrt(3)*1 + sqrt(3))**2 - sqrt(3)) + (sqrt(288)\/sqrt(6))**2).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1556413 * 0.2\nAnswer: 311282.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(35\/(-10)) - (38 - -5).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99132663 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/126 and -125\/24.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 3*t = -1, 0 = -5*k + 4*k - 4*t + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 + 24?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 - 4*m. Let r(p) = p**2 + 3*p. Calculate -3*c(v) - 4*r(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 10*r - 11. Let h be g(-8). Suppose -h - 1 = 2*d. Let u be (-4 - d)\/(4\/(-4)). Is u less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1703943462.\nAnswer: 2, 3, 13, 37, 131, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -9*w**2 - 18*w + 236. Determine m(6).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 2386 + 1514 = 0. Suppose -258*p = -268*p + n. Calculate the greatest common factor of 6 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42574, -42528, -42452, -42346, -42210, -42044?\nAnswer: -41848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 203\/(-87)*(-13)\/(-273)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3b (base 13) to base 16\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzmzmzdmhhzzzhzhhqdh. What is prob of picking 1 h, 1 z, and 1 q?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 - -83. Let n be c\/(-12)*(-40)\/14. Suppose -5*w = -n*w + 100. What is the least common multiple of 4 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1235, -2426, -3525, -4490, -5279, -5850?\nAnswer: -6161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75857.5125s in weeks?\nAnswer: 0.12542578125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1228, 9861, 33270, 78835, 153936, 265953?\n\"Answer: 1230*r**3 + 8*r**2 - r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 2*d**2 - d - 2. Let a be t(-1). Suppose a = -9*k + 10*k + 6. Let r(g) = -1. Let u(x) = x + 8. Give k*r(h) - u(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 - -0.302054.\nAnswer: 0.372054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 30 = 2*k, 469*t - 465*t + 33 = 5*k for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 + 7*s - 9. Let p(h) = -h**2 + h**2 + 0*h - 10*h - 4*h**2 + 13. Calculate 5*p(a) + 7*y(a).\nAnswer: a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(4)*-1)\/(2*sqrt(1100) + sqrt(1100)).\nAnswer: -sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -0.4, 2480, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + 44. Let q be (-14)\/7*(-3)\/a*6. Let y(w) be the third derivative of -w**6\/120 - w**5\/10 + w**4\/24 + 4*w**3\/3 + w**2. Determine y(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.18 - 0.2. Let y = -2.02 - k. Let r = y + 1.999994. What is r rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o. Let b be u(-1). Let g(t) be the second derivative of 3*t + 1\/36*t**4 + 0*t**2 + 0 + 0*t**3 + 1\/60*t**b. Factor g(m).\nAnswer: m**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + 3. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -1279*b + 1287*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1446.3 - -1447. Which is the nearest to 1? (a) p (b) 0.09 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/26*6\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2887163 - -2?\nAnswer: -2887161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -32*s**3 - 2*s**2 - 3*s - 2. Is 4 a factor of v(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-3)\/(-18)*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2 - 597444*n - 3584556 = 0. What is n?\nAnswer: -199142, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypyyrpyrr. What is prob of sequence yy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -283.067438 to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.32861 nanometers in micrometers?\nAnswer: 0.07732861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = a - 4*i - 48, -5*i + 2 = -a. Calculate the remainder when a is divided by (-11)\/(-33) - 38\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f**2 + 7*f - 2. Let c(x) = -13*x**2 + 14*x - 5. Calculate -2*c(h) + 5*j(h).\nAnswer: -4*h**2 + 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21105 + -21098. Sort -5\/4, 154, -3, x in descending order.\nAnswer: 154, x, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-26) + 252\/117 + 658. Suppose -3*b = 11*f - 9*f - 650, -2*f + 2*b = -g. List the prime factors of f.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 4) + 8 + -13. Let y = -9 - i. Suppose -28 = -2*h + 2*n, y*h = h - 2*n - 18. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 79001*d**3 + 2*d**2 - 1. Let g be m(-1). Round g to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/5, -4, -2, -8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/10)\/(((-35)\/(-30))\/7)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-1 - -4)\/(-3). Suppose -3*w + 4*o - a = -4*w, 4*w = -5*o + 12. Suppose 3*z + w*q = 9 + 3, -2 = 2*q. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*p - 53 + 29 + 178 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (23 - 6)) + -10 - -5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 898, 1074, 1552, 2482, 4014, 6298, 9484, 13722?\n\"Answer: 25*u**3 + u**2 - 2*u + 874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*((m**(3\/2)\/m)\/m)\/m*m**(-6)*(m**(-1\/2))**(-50) assuming m is positive.\nAnswer: m**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/7 (b) -6 (c) 0 (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h - 46. Let i be p(-14). Which is greater: i or 35?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55 - -58) + -1 + -5 - (3 + 13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 5:47 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/20)\/(4\/8). Let v = -0.2 + 0.1. Let w = 1.54 - -0.46. What is the closest to v in d, w, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 34.8. What is the closest to -2\/3 in f, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 4*d**2 + 2*d - 1. Let l(o) = 2*o**3 - 8*o**2 - 4*o. Let m(h) = 7*c(h) + 4*l(h). Let u be m(5). Solve -7*n = -11*n - u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4058 divided by -48\nAnswer: 2029\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7979045 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 988526.9 millennia to centuries.\nAnswer: 9885269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 q, and 1 s when three letters picked without replacement from {a: 1, q: 3, s: 2, p: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h - 23669272. Let v(p) = -99307*p**2 - p - 12. Let r be v(-5). Let l = r - h. Round l to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5718, -4657, -1774, 3843, 13106, 26927, 46218?\n\"Answer: 152*n**3 - n**2 - 5869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403666 is divided by 201140.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 270ab0b?\nAnswer: -270ab14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Suppose 0 = -4*a + 7*a - 12. Suppose -v + 6 = 4*k - a, -23 = -4*v + k. What is the highest common divisor of v and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z - 5. Let b be l(7). Let q = b + -34. Let x = q - -21. Solve x = 3*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 518 = -3*z - 394. Let b = -52 - z. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/29)\/s)**(-43)\/(s**32\/s**(2\/5)) assuming s is positive.\nAnswer: s**(1223\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -y - 6*y. Suppose -3*f + 3*k + 30 = 0, 0 = y*f - 6*f - 4*k + 65. Calculate the remainder when 56 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1218 + -1170. What is the third smallest value in 0.4, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 + -126. Let l = a + 59. Calculate the smallest common multiple of l and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -27*p + 7. Let t be w(13). Is (-5)\/(-15) + t\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 10 = -18*p + 20*p, -3*x - 5*p = -6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*f - 3208 = 190*f + 54*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26256*u**2*w - 8*u**2 - 175225*u*w wrt u?\nAnswer: -52512*w - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t + 38. Calculate h(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3680 + -3635. Suppose 3*u = -3*h + 15, -3*u + 2 - 22 = -2*h. Calculate the smallest common multiple of w and h.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8903.\nAnswer: 29, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1531*h + 47*k - 752 = 1536*h, 3*h - 4*k = -64 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 3\/10, 181?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a - 11. Give n(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20045291, 80181164, 180407619, 320724656, 501132275?\nAnswer: 721630476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(66\/(-12))*8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 355 divide 332618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from {k: 5, e: 3, t: 3, w: 7, h: 1}.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - j + 0)*(-5 - 3 + 2)*(-j + 2*j - 2*j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -110*p**2 - 5. Let b be s(-6). What is the common denominator of 4\/14 + b\/(-945) + -6 and 109\/24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4))**(3\/4)*b**(-5)*b**(-6)\/b)**29 assuming b is positive.\nAnswer: b**(-5481\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*(-100 - 2552\/44).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxwxxwxxwxxxxxwxxxx. Give prob of picking 3 w and 1 x.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 467927894?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2017000 (base 8) to base 9.\nAnswer: -1000645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19811822.45 rounded to the nearest one hundred thousand?\nAnswer: 19800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s - 1. Let r(l) = -l**3 + 5*l**2 + 6*l - 5. Let h be r(6). Let u be w(h). What is the greatest common factor of u and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -855 - -1248. Suppose -n = -5*p + 382. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651337 is divided by 108550.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -365*s + 77*s - 143*s + 1293 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1404 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -95434586 take away 3?\nAnswer: -95434589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -499653, -499670, -499687, -499704, -499721, -499738?\nAnswer: -499755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 0 + 11\/60*c**5 + 1\/84*c**8 + 0*c**3 + 8*c**2 + 0*c**6 + 0*c**7 + 0*c**4 + 0*c. What is the third derivative of z(g) wrt g?\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 + 42)\/(2\/(-6)) + 18.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 26. Which is smaller: j or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 8 = -u. Suppose 0*l = -4*l + g + 15, -g + 20 = 3*l. Calculate the highest common factor of l and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 974211730, 974211729, 974211728, 974211727, 974211726?\nAnswer: 974211725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - x**3 - 4*x**3 + 1 + 5*x - 5*x. Let o be y(-1). Let h be 37\/7 - 4\/14. Solve -5*p + h*m = o, 2*p - 5 = -m - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100066*-359\nAnswer: 35923694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -709404810 >= -709404811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 4*i. Suppose 2*s = -2*s - 412. Let b = -92 - s. Calculate the highest common divisor of i and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(36\/11)*p)\/p**(-34) assuming p is positive.\nAnswer: p**(432\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.237 - -2.\nAnswer: 0.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23942?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) -3 (c) 0.1 (d) -0.1661\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**6\/120 + v**5\/6 - v**4\/2 + 3*v**3\/2 + 14*v**2. Calculate y(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in centuries?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + -2 + (1 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 11:17 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -127*b**2 + 1495*b + 388. What is c(12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 5. Let a be i(4). Suppose 4*b = a*b + 10. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1191111 divided by -3\nAnswer: -397037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -227 - -224. Let d be (15\/(-20))\/u*20\/(-2). Put 2, d, -2 in increasing order.\nAnswer: d, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*z - 6, -5*x + 24 = 3*z. Suppose 4*i - 2*i - 5*v = 9, 2*v - x = 4*i. Does 11 divide 5 + i - (-201)\/6*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uooovvouoovuu. Give prob of picking 1 o and 1 u.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 7:34 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -10. Let o = 1.1 - 1. Which is the nearest to -1? (a) o (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/13)*d)\/d**(-1\/5))\/((d**0\/d*d)\/d)**(-39) assuming d is positive.\nAnswer: d**(-2467\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -1421*i**5\/30 - 8671*i**3\/6 - 2*i**2 + 3641. Find the first derivative of m(w) wrt w.\nAnswer: -5684*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -2*p - 14. Suppose p*n = 5*n - 918. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + 43. Let o(z) = z**3 + z**2 - 11*z - 5. Let n be o(-4). Let g = n + p. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/10 and 10\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*c**3 - 314*c**2 + c + 208928 wrt c.\nAnswer: -144*c**2 - 628*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -348*o**2 + 19485*o + 141. Calculate y(56).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7517080?\nAnswer: 2, 5, 187927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.75471116753 take away 52?\nAnswer: -58.75471116753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -52. Solve -k = 3*s + 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7304 is divided by 2424?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 (base 7) in base 15?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 512372393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 837*o**2 - 3346*o + 74. Calculate m(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/159 and (-164)\/(-16) + 6 + 3\/((-9)\/16)?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 7 + 43 = 28*w. Let i(k) = -k**2 - 5*k - 2. Let t be i(-3). Is (18\/t)\/(w\/((-40)\/(-3))) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75285?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823589939.\nAnswer: 17, 109, 444463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - -0.03. Let h = 2.15 + -1.8. Let d = t + h. Sort d, 2, 0.1 in ascending order.\nAnswer: 0.1, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 32*z**2 + 20*z + 101. Calculate i(-32).\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 9:24 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x + 0*x)*(-2 + 3 + 0) + 4*x + 7*x - x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**5\/60 + h**4\/6 - h**3\/2 + 5*h**2. Give n(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*y - 10*y = -528 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (140\/65 - (-8)\/(-52)). Let v = -16.4 + 3.4. Let j = 18 + v. What is the closest to 0.1 in j, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9168, -9181, -9176, -9147, -9088, -8993, -8856, -8671?\n\"Answer: x**3 + 3*x**2 - 29*x - 9143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -404997289\/2700 + 149999. What is the common denominator of -113\/30 and d?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by 1153.\nAnswer: 152\/1153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6660 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/45 (b) 1 (c) 0.1 (d) 6188 (e) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 175*h**2 - 100*h + 50. Let o(t) = 25*t**2 - 14*t + 7. Let m(w) = -50*o(w) + 7*z(w). Let y(k) = -54*k. Calculate y(m(p)).\nAnswer: 1350*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from {h: 1, l: 1, z: 1, f: 1, s: 2, d: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -27*j**4\/2 - 10095*j**3 + 1272378*j**2 - 26242212*j + 5768880 = 0.\nAnswer: -860, 2\/9, 26, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 30452 times 1184\nAnswer: 36055168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 125*j - 105*j - 2 + 241*j.\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1170\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -13*g + 1109. Let q be y(85). Factor -4\/7*t**q + 2\/7*t**3 + 0*t + 2\/7*t**5 + 0*t**2 + 0.\nAnswer: 2*t**3*(t - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97 - 83. Calculate the remainder when 19 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 6*g - 11*g - 4*x, -3*g - 2*x = 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwawhwanawhwwwwnwhah?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 5*d**2 - 3*d. Let a(i) = -i**2 + 7*i + 3. Let m be a(7). Let y be w(m). Calculate the highest common factor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 101000?\nAnswer: 101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1210 = -0*u. Let o = 238 + u. Put 14, o, 1 in descending order.\nAnswer: 14, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {m: 1, y: 3, w: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-22)*(-105)\/(-9) + 7 + 4 + -16.\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-27) + -3 + -1*1. Let f(p) = p**3 - p**2 + 5. Let a be f(0). Let n = 16 + -21. Put a, n, q in decreasing order.\nAnswer: a, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - -1. What is the highest common divisor of g and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26652073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107\/159 + -18\/53. Sort k, -7, 2 in descending order.\nAnswer: 2, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160860672 bigger than 160860675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 34*c - 2. Let a be z(3). Let q = a + -47. Calculate the remainder when q is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2093\/52)\/23)\/((-1)\/16*2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 13. Let y(c) = -2*c**2. What is b(y(p))?\nAnswer: -2*p**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 385101?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 12)*(-2*c**3 - c**3 + 0*c**3).\nAnswer: 42*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j = 6. Suppose -4*z - j + 14 = 0. Let k be 2\/(-6) + 4\/z. Which is smaller: k or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 14, -8, 4, -265 in ascending order.\nAnswer: -265, -8, 3, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-1*-1 + sqrt(99))*1)\/(sqrt(81)\/((sqrt(81)*2)\/sqrt(9))).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 149392866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 46*w + 5. Let n be c(-23). Solve 0 = u - 4*u - 3, 0 = -p - u - n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nalaolaanlo. What is prob of sequence lo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.1 from 67.\nAnswer: 71.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert a9898 (base 12) to base 14.\nAnswer: 5b9ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.86 - 0.14. Let o = -11 - l. Let h = -4 - -7. Which is the closest to -2\/5? (a) o (b) h (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10964 is divided by 61?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*v**3 - 65*v**3 - 2 + 0*v**2 + 26 + 7*v**3 - 7*v**2 in the form k*v + h*v**3 + j*v**2 + p and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4, -0.2, -5, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141435, -141425, -141415, -141405, -141395?\nAnswer: -141385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*4\/(-48)*-10*2. Suppose t = -5*r - 6, 4*t + 4 = -l*r + 10. Solve a = t*a - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -40216*k + 4182468. Calculate q(104).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.10463 + -1.394675. Let o = 0.29 + f. What is o rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170323?\nAnswer: 17, 43, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l = 16*l - 295064. Is (3 + 0)\/((-187792)\/l + -7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 1 + y + 14 + 13. Calculate the remainder when 39 is divided by x(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1893 is divided by 100.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1667*q**2 - 3*q - 19. Let v(t) = -3335*t**2 + 7*t + 43. What is 9*u(p) + 4*v(p)?\nAnswer: 1663*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*f + 8 = 0, 0*n + 14 = 4*n + 3*f. What are the prime factors of ((-25)\/10 + n)*-124?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64544221 - -2?\nAnswer: -64544217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.76258 millilitres to litres.\nAnswer: 0.04076258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*z - a = -2, -z - 7 = -2*a. Solve 0*o + 2*o + 2 = -z*n, 4*n + 26 = 2*o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 6:14 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f + 0*f - 2*f - f - 1. Let h = -2930 + 2925. Calculate l(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*h**3 + 75233*h**2 - 75233*h**2.\nAnswer: 262*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -311 - -617. Let y = j + -300.64. What is y rounded to one decimal place?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 50*f + 18*f + 6 - 12*f as i*f + v and give i.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 1. Let y(p) = -6*p - 8. What is -8*x(b) - y(b)?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7469284.\nAnswer: 2, 1867321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 256*u + 2107. Determine x(-8).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-2 - (-7 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 346506 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01488546611 rounded to 5 decimal places?\nAnswer: -0.01489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from loaaallkal. Give prob of sequence ala.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32643 less than 7735.996?\nAnswer: -24907.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -227 or -216?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = 3*f + 5*b + 10, 10*f = -2*b + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 11. Let q(t) = -t + w*t + 4 + 0 + 2. Suppose 0 = 2*j + 3 + 3. Determine q(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -4, 7, 5, -136 in descending order.\nAnswer: 7, 5, 2, -4, -5, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 + -71. Let k = 66.876 + -46.94. Let j = k - q. Round j to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20058 (base 9) in base 13?\nAnswer: 5cc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2559 divided by 29?\nAnswer: 2559\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 46772640 divided by -2406\nAnswer: -19440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -2 + (-57)\/(-24) - (-50698)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -12. Let c be (f\/(-4))\/((-5)\/20). Suppose v = -c*h + 250, -5*v = h + 111 - 1291. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 - 8062*x**3 + 24172*x**2 - 16112*x.\nAnswer: 2*x*(x - 4028)*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = a + 41, -4 = -4*a - 24. Suppose y - z = 4. Let y*n**2 - 18*n**4 + 8*n - 6*n**3 - 3*n**4 - 2*n**4 + 5*n**4 = 0. What is n?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4414 + 5932. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6786 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 5:37 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 16070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2411.7073 rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -5*d**4\/24 - 17*d**2. What is the remainder when i(-5) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**8*f*f*f**(-2)\/f*f*f)\/(f**3*f)**1 assuming f is positive.\nAnswer: f**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2267880 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.688 - -13.5. Let d = -5.75 - -5. Let g = f + d. What is g rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 244 and 76.\nAnswer: 4636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 1 - 1)*(-3 + 4 + 3)*(-3 + 2 + 2)*(-45 - 661 + 4).\nAnswer: -5616*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**5\/14 + o**4\/6 + 2*o**3\/21 - o - 3. Let n(b) be the first derivative of s(b). What is h in n(h) = 0?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 18 = 4*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 47\/2. Let q be ((-4)\/(-15))\/(-1 - 15\/(-25)). Are q and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/27 and 44\/75.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21232*c = -21388*c - 1622 - 4306 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1227.4+-0.1\nAnswer: 1227.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/9, -0.146, 1, 6\/11, 3?\nAnswer: -0.146","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**4*s - 3*a**3*s + 6*a**2*s + 3*a*s + 106*a wrt a?\nAnswer: -12*a**2*s - 18*a*s + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 12, 151, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -176*u**3 + 4*u**2 + 18*u - 5. List the prime factors of x(-5).\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o - 2. Let a be f(-3). Let s be a\/(((-13)\/(-117))\/(1\/3)). Calculate the highest common factor of 252 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.2 + 2.91. Let d = f - 0.01. Let c be (-102)\/(-21) - 4 - 1. What is the second smallest value in d, c, 2\/17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/4*-2)\/(2\/4). Does 3 divide (-22)\/(-3)*y*9\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -101*l**5 + 57*l**5 + 6*l**3 + 46*l**5 - 8*l**4.\nAnswer: 2*l**3*(l - 3)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(9*f**2 - f**2 + 4*f**2)*(-8 + 8 - 5*f**2).\nAnswer: 60*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2121*o**3*t + 8*o**3 - o**2 + 216*o*t - 18*t wrt o.\nAnswer: -12726*o*t + 48*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) -1 (c) -1\/5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/7210260 and -29\/98540220.\nAnswer: 295620660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-120))\/((-3)\/8) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 1771 + 1769 = -0*y + 4*t - 2*t, 0 = -y + t - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c - 4 = 0. Let u be (4 - 6)*(-4 + c). Suppose u*d + 0*d = 16. What is the highest common divisor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3573910 - 3?\nAnswer: 3573907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 615 (base 14) to base 3\nAnswer: 1122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*v - 2785, v = 33 - 34. Calculate the remainder when j is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**2 + 385287*v + 1541196 = 0. What is v?\nAnswer: -4, 128433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a centimeter in micrometers?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -165967 and -165964 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*u - u - 5126, -5*u + 5081 = -r. Is r\/3*(-2)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -8) + 2 - 12 - 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 u when four letters picked without replacement from ulllul.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - i - 32. Let r be 3\/6*i\/(-4). Determine f so that 0 + 2\/3*f - 2\/3*f**3 + 0*f**r = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 9*p = 2. Let u be ((-6)\/15)\/(p\/(-1)). Is 0.1 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -61111*b*j**2*p - 3*b*p**2 - 20*b*p + j*p**2 + 31*p**2 - 1 wrt j?\nAnswer: -122222*b*j*p + p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 52 - 3*d + 7*d.\nAnswer: 2*d + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a second in milliseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*i. Let g be i + 0 + 0 - 1. Does 3 divide (1\/(-2))\/(g\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258906 is divided by 21574?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let j(q) = q**2 + q - 2. Let i be j(2). Let n be i\/12 - (-8)\/3. Suppose -n*v + 4 = -5. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3465418654 a multiple of 3652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 6:58 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l - 148*l**3 + 81*l**3 + 4*l + l + 66*l**3 - 2*l.\nAnswer: -l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -417937*z**2 + 8*z + 21217616?\nAnswer: -835874*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 41846, 41855, 41864, 41873, 41882, 41891?\n\"Answer: 9*m + 41837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 11:49 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -58db1 + -287?\nAnswer: -59258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, c: 2, y: 5}. What is prob of sequence yc?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5*-105993\nAnswer: -529965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 26640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (102\/(-20))\/((-56)\/35) and 25\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 26*f - 94. Let u be x(-16). What is the greatest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**2 + 2*h + 8. Let m(s) = -2*s + 14. Let c be m(11). Let g(r) = 4*r**2 + r + 5. Let q(y) = c*g(y) + 5*o(y). Suppose q(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -25*j**3 - 2*j + 1. Determine r(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 4. Give v(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4642 - 7621 = -1744*k + 24361 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4 - 10 = 0. Suppose -b*h - 2*g + 0*g + 38 = 0, -9 = -h + 3*g. Suppose -3*q + h = 3*j - 0*q, -3*j + 4*q - 2 = 0. Solve j*y = y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*y - l, 15 = 841*y - 846*y + 5*l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*c**2 + 82*b*c + 4*c**2 + 25*c wrt b.\nAnswer: -c**2 + 82*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1487, 1353, 1133, 821, 411, -103?\n\"Answer: -v**3 - 37*v**2 - 16*v + 1541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 e, and 1 w when four letters picked without replacement from {e: 5, w: 4, v: 5}?\nAnswer: 200\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-225)\/((-500)\/20))\/(-6).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 8*d**2 - 12*d + 13. Let a be v(9). Let s be 21\/a - (-15)\/2. Solve 0 = -3*n + 6 + s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k**15*k)\/k*k)\/k)\/k)\/k)\/k**(-2\/7) assuming k is positive.\nAnswer: k**(93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -8\/37, -2, 15, -8, -5.\nAnswer: -8, -5, -2, -8\/37, 3\/7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 189921763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 1\/4, 1\/3, -0.75?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57593470?\nAnswer: 2, 5, 11, 523577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: -184 divided by 2954\nAnswer: -92\/1477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3803689163592 + -3803689169661.999996961. Let h = z + 6070. What is h rounded to seven decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, -5, 84.3, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 13 = 5*h, -5*s = -7*h + 2*h + 25. What is the units digit of 181*h\/2*(-26)\/(-39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/8 - 12687045*k\/4 - 25374089\/8 = 0.\nAnswer: -25374089, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-15) - 21\/(-5). Let q(u) = -73*u + 15. Let o be q(l). Round o to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (765*f - 4345 + 4345)*(-3*f**2 - 2*f**2 + 6*f**2 + f) in the form g + j*f**3 + r*f + i*f**2 and give j.\nAnswer: 765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34554288 <= 34554285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 221*f**2*j**4 - 2*f**2*j**2 - 34*f**2 wrt j.\nAnswer: 5304*f**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*29.73.\nAnswer: -118.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13850976?\nAnswer: 2, 3, 223, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(208)*-2.\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1763*v - 607 = -3*n + 1767*v, 4*n + 3*v - 851 = 0. Solve 210*z = n*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 502765*p**5 - 550102*p**2.\nAnswer: 30165900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 7*r - 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 - -130. Suppose 124 = 4*t - 4*o, 0*t + t - 27 = -r*o. Suppose 6*j + t = -0*j. Let w(g) = -g. Let f(i) = 7*i + 2. Calculate j*w(h) - f(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 = -2*y - 84, -4*j + 188 = 4*y. Let s = j + -18. Let f = -137 - -144. What is the remainder when s is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12054, 24110, 36166, 48222, 60278?\n\"Answer: 12056*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 17*l**2 + l. Let x(z) = 2*z. Calculate the smallest common multiple of x(3) and s(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4)*(-3 - -1). Differentiate 2*f - u + 0 - 2*f - 3*f wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -846*c - q = -844*c - 7, 0 = c + 4*q - 28. Let b(g) be the third derivative of -22*g**2 - 2\/3*g**3 + 1\/8*g**4 + 1\/60*g**5 + 0*g + c. Determine b(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 25*q**4 + 85*q**3 + 35*q**2 + 35*q - 35. Let w(s) = -2*s**4 - 7*s**3 - 3*s**2 - 3*s + 3. Let i(z) = -3*f(z) - 35*w(z). What is o in i(o) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3697207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -1. Let m be (-3)\/4 + 77\/140. What is the closest to 0 in 4, m, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttttqtqqqttq. What is prob of picking 1 q and 3 t?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/3003888 and -83\/750972.\nAnswer: 3003888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -8 + 10)\/(2\/2). Solve 4*u = 4, -m + u - 11 = -q*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*f + 1386 + 139, 3*g = 4*f + 911. Let w = 305 - g. Let j(t) = t**2 - 3. Give j(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 10. Let i(c) = c**2 + 3*c - 4. Let h be i(f). Is (h\/(-20))\/(1\/(-5)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 32.8139 centuries?\nAnswer: 328.139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93809759?\nAnswer: 93809759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356868237?\nAnswer: 3, 11, 1913, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(75) + 0 + -1)**2 + -2.\nAnswer: -10*sqrt(3) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggqgqqqgggqggggqq. Give prob of picking 2 q.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(192) + sqrt(192) + 2 + sqrt(192) + 4 + ((-5*-2*sqrt(192))**2 - sqrt(192)*3*2).\nAnswer: -24*sqrt(3) + 19210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3721411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/1264290 and 117\/242942.\nAnswer: 61950210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1567402082?\nAnswer: 2, 783701041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42347843*j + 76468112 wrt j.\nAnswer: -42347843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*((-80)\/20 + (-44)\/(-12)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/22*(-64)\/(-40))\/((-492)\/1230)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 243517\/617880 + -5\/72086. Let z = -1\/168 - i. Let s = -16\/15 - z. Which is the nearest to -1? (a) s (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3083 by 5.\nAnswer: -3083\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-25)*b*b**(1\/16))\/((b**(-1\/9)*b*b*b)\/((b\/b**(3\/8))\/b*b*b)) assuming b is positive.\nAnswer: b**(-3629\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456747 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3abdae4 + -5?\nAnswer: 3abdade","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -787.9111 + 788. Let l = p - 0.09. What is l rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3485740 (base 12) to base 8.\nAnswer: 46506740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 463 + 5?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1109 + -1023. Which is bigger: 85 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/9265 and 73\/167943.\nAnswer: 91528935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2284, 2263, 2218, 2137, 2008, 1819?\n\"Answer: -2*x**3 - 7*x + 2293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2107 + -930. Suppose 3567 + w = 8*j. List the prime factors of j.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y*(y\/y**(2\/9))\/y)\/y))\/y)**(-2\/25)*y**4\/(y\/(y*y\/y**(-2\/25))))\/((y**(2\/7)\/((y*y*y**5*y*y)\/y*y))\/(y**0)**(-26\/9)) assuming y is positive.\nAnswer: y**(21698\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1718 + -1748. Which is the nearest to -5? (a) 4 (b) 0 (c) i (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108 by -3885.\nAnswer: -36\/1295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50784)\/9522)\/((-3)\/((-189)\/(-12))).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1894297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 390*y**2 + 18816*y - 19208.\nAnswer: 2*(y - 1)*(y + 98)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -157*i**6 - 59*i**4 - 3330*i**2 + 3 wrt i?\nAnswer: -18840*i**3 - 1416*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((3 + sqrt(13))**2 + -4 - sqrt(13)) + (1*sqrt(156))\/sqrt(12).\nAnswer: 14 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6 + 44\/132. Suppose -26 = -3*q + i, -i + 42 = 5*q - 3*i. Solve -2*t = -z - q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, y: 3}. What is prob of sequence yyww?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 - 49. Let m = 18 + -13. Sort s, -4, 2\/5, m in ascending order.\nAnswer: -4, 2\/5, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -312*s. Let b(u) = 897*u**2. What is y(b(p))?\nAnswer: -279864*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 4*v - 5. Let t be j(-5). Suppose 2*c - 28 - 104 = t. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680027917?\nAnswer: 19, 35790943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1115, 1114, 1113?\n\"Answer: -y + 1116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 33. Let k(x) = -x**2 - 4*x. Let p be k(-4). Does 11 divide c(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 w when three letters picked without replacement from ldqllwdqdqd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415, 1493, 3283, 5779, 8975, 12865?\nAnswer: 17443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 6 - (1 + 1). Suppose -4 = m - 3, -x = -3*h - m. Let u(p) = 5*p**2 - 2*p + 3. Let l be u(h). Solve -4*w = -l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1 - (62 - 68)) + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*n - 42*n - 144 = 0 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((c\/c**(1\/16))\/c)))\/c)\/c**(-2\/3) assuming c is positive.\nAnswer: c**(-19\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 11 + -9 - -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.319 times -0.0393?\nAnswer: -0.0125367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 8*c + 12. Let j be x(9). Suppose 2*y + 95 = 7*y - 5*l, -33 = -2*y + j*l. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -98\/123? (a) -0.3 (b) -0.4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11000112020201 (base 3) to base 5\nAnswer: 1021324101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from xxwmxxmxxmwmw.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t = -11713351. Let k = t - 7813351. Round k to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 0, 2, -23, 3 in increasing order.\nAnswer: -40, -23, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 22*l - 220 = 0. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714672.\nAnswer: 2, 3, 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-8 + 2) - 10 - (51 - 7).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 2378512.\nAnswer: 11892560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*p**2 + 66*p**2 - 27*p**2 + 2*p.\nAnswer: 145*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -30*z**3 - z**2 + z - 1. Give c(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 7*q**2 - 7*q + 4. Let a be c(-8). What is the tens digit of (-500)\/(-16) + 1\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffmmffff. Give prob of picking 2 m.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-3)*1881\/(-22). Let c = -243 - f. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19995)\/(-344) + -48 + -18.\nAnswer: -63\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 21*p**2 + 5*p - 74. Let l be a(-22). Let b = -298 + l. Solve -21 = -5*x + 4*y, 2*x + b*y - 6 = 3*y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.6 (b) 4 (c) -55 (d) 221\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 9*m**2 - m - 7. Let s be i(-9). Let w(t) = -3 + 2*t**2 + 4 + 6*t**3 - t**2 - 3*t**s. Determine w(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 8:13 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 389*o + 707 = -305*o, -4*m + 5*o - 318 = 0 for m.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2196 + -2196.2343. Round f to 2 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 6*p**2 - 2*p + 17. Let o be z(-5). Solve -o*b - 4*b = 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36 - 498e65?\nAnswer: -498e9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -358*c**4 - 16*c**2 + 91241*c wrt c?\nAnswer: -4296*c**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h + 21. Let n be z(-9). Let f be (-35)\/110*(-2866)\/n. Let w = 304 - f. Which is bigger: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 32 = -0*n. Let j(c) = 2*c**2 - 13*c + 8. Let g(v) = 2*v**2 - 12*v + 7. Let o(s) = 3*g(s) - 2*j(s). Is o(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -86) + (-21874 - -21917).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27913b - -9?\nAnswer: 279148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33996080 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*y - 4*w, -2*w = 4*y + 2 - 0. Let o = 924 - 919. Find the second derivative of 9*b**o - 25*b + y*b**5 - 20*b**5 + 9*b**5 wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*u + 25*u = 1487936. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + 4 + sqrt(99) + sqrt(99)*2))**2.\nAnswer: 5832*sqrt(11) + 34992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -280835 + 8?\nAnswer: -280829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Let x(m) = -m**3 + m**2 + 5. Let v be x(0). Let h = -9 + v. What is the smallest value in o, h, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/28 + 24\/14. Let m be 8\/36 - f\/9. Solve m = z + 3*c + 6, 5*z - 3*c + 7*c = 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {m: 5, y: 3, a: 1, n: 1, w: 5}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(325)*-1 - (sqrt(325) + (sqrt(325) - (sqrt(325) + sqrt(325)*1*-6)))))**2 + 2.\nAnswer: -1280*sqrt(13) + 332818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-44)\/33 - (-3)\/9. Is 4 a factor of c*(14 + 9\/3)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69608*n**2*s**3 + 40*n**2*s**2 + 184*n*s**3 + 11*n*s - 159*s**2 - 1 wrt s?\nAnswer: -417648*n**2 + 1104*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -5058 and -5054 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -156339, 3, 4 in increasing order.\nAnswer: -156339, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**2 - 12508324*p = 0.\nAnswer: -3127081, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqr when three letters picked without replacement from {x: 3, r: 2, b: 1, i: 1, q: 4, w: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-57.6669.\nAnswer: 40.36683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24630 by -8406.\nAnswer: 4105\/1401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 230183 or 230251?\nAnswer: 230251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/11, 5, -1\/8, 3\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*u + u. What is the common denominator of 1\/u - 1003\/816 and -9\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/24 + (-16)\/6. Let u be 4\/10*30\/(-3). Let k(x) = -x - 5. Let w be k(u). Is w bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -453222 (base 8) in base 7?\nAnswer: -1205514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*a - 2*m = -48*a + 13, 0 = 4*a + 4*m + 24 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (563*l - 47576 + 47576)*(l**2 - l + l**2 - 4 - l**2).\nAnswer: 563*l**3 - 563*l**2 - 2252*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -95 + 839. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**4 - 248*x**3 + 224*x**2 + 1208*x + 732 = 0. Calculate x.\nAnswer: -1, 3, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/(-4))\/(2\/4). Let i = u - -9. Is 4 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-52)\/(-39) - 2\/(-9)*3. Find the second derivative of 4*s + 2*s + 6*s + 77*s**i wrt s.\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*o + 1378 = 243*o - 1979 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46519063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 10*y**2 + 12*y + 29. Let x be v(-9). Let l be (-54)\/(-36)*x\/7. Which is the fourth biggest value? (a) l (b) -0.5 (c) -1\/4 (d) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17585 is divided by 409.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2))\/(21\/42). Suppose -5*u + 2*z = -4*u + 13, -m*u = -z + 14. List the prime factors of u*(-1)\/(-2)*(5 + -91).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l. Let c(h) = -44*h**2 + 9. Determine c(b(d)).\nAnswer: -176*d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 15) + 7 + 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21\/23, -3\/4, 3, 19\/5, 4, -5 in increasing order.\nAnswer: -5, -3\/4, 21\/23, 3, 19\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 401 = -133. Let q = 106 - g. Let b = q - -143. Is 24 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 26. Let m = 10 + d. Let p be ((3 + (-20)\/m)*0)\/(-1). Sort -3, -1, p in decreasing order.\nAnswer: p, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/18 and -31\/150270012.\nAnswer: 150270012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -6547*t**3\/6 - 770*t**2 - 1480*t. What is the derivative of c(s) wrt s?\nAnswer: -6547","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1856*o**2 - 3719*o**2 + 1865*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 531 + -529. Solve 3*h = y*h + o, -4*h - 2*o = 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435977 + 3019*y**2 - 435977.\nAnswer: 3019*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 782671 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 107*q - 1135. Let n be c(9). Which is greater: n or 530?\nAnswer: 530","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2971.2221345291 - 0.1153414709. Let k = c + 2895.33747445. Let m = -76 - k. What is m rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*u - 4574 = -40*u + 3359 + 90 for u.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-184))\/(16 - (19 - 1))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.007 - 18. What is s rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12 + -10 + (-2 - -1). Calculate the remainder when 1\/(-9 + c) - (-11610)\/80 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1064544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -15 (c) -0.1731 (d) 2\/7 (e) 0.1 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l - 21. Let a be b(10). Suppose 4*n = -2*k + 246, 6*k - a = -n + 3*k. Suppose -g = -n + 51. What is the remainder when 43 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20869622 to the nearest one hundred thousand.\nAnswer: -20900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 37 - 112 + 40 + 34 - 17*l. Suppose -5 = -4*k - k. Give w(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 - 2*y**2 + y - 2. Let m be c(-2). Let x be (2\/(-6))\/((-1)\/(-5))*36. Let d = x + 60. Sort m, d, -3, 2 in decreasing order.\nAnswer: m, 2, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**5\/42 - z**4\/28 + 2*z**3\/21 - 144*z**2. Suppose k(a) = 0. Calculate a.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104795804.\nAnswer: 2, 61, 311, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 12 + 2*c**2 - c**2 + 8*c. Suppose -d - 5 + 13 = 0. Determine p(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6366.64 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 6. Suppose -7*h + 0*h = 35. Let d be 3\/1 + -5 + -2. Put h, d, l in descending order.\nAnswer: l, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1255*x + 1333. Is 63 a factor of s(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 20*m**3 + 39*m**4 - 3 - 41*m**4 as n + b*m**4 + r*m**3 + h*m**2 + p*m and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*u - 50*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5895 is divided by 1680?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -526 (b) 0.1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4036*i**3 - 1193*i**2 - 36148919 with respect to i.\nAnswer: 12108*i**2 - 2386*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 45 = -39. What is the greatest common divisor of m and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 378528 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z - 1 + 8*z - 17*z.\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203279, -406555, -609831, -813107, -1016383, -1219659?\nAnswer: -1422935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4334 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:32 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h + 0*h + 15*h + 6*h)*(11*h - 21*h + 9*h) - 2*h**2 - 2*h**2 + 6*h**2 to the form a*h**2 + y + k*h and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 9.2. Let j = 26 - 25. Is u greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*82\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7\/38, -0.56, -6, 9?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**4 + 60586*t**3 - 121176*t**2 = 0.\nAnswer: -60588, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -156 + -64664?\nAnswer: -65042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 492693?\nAnswer: -492692.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + a - 58938, 6*h - 5*h - 19644 = -a. Let v = 114206649511\/5816508 + 30\/484709. Let y = v - h. Find the common denominator of y and -19\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 - 190 = -3*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.17 and -17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 459027 to the power of 1\/2, to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 20. Suppose 5*r - 17 + 1 = -4*m, -a*r = -3*m - 19. Suppose -2*f = -3*u - 144, 2*f - r*u + 328 = 6*f. Is f a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -2001?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 143\/4 - -2 - 2. Let t = -79 + 44. Let n = y + t. Sort 7, n, -2\/13 in increasing order.\nAnswer: -2\/13, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 79676 = -4*h + 73760, -j + 76718 = 2*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 - 3*p**5 + 4*p**5 + (4 - 5*p - 4)*(-2*p**4 + 2*p**4 - p**4).\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -9 + 10 - -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 8*o**2 - 9*o + 4. Let d be c(-6). Let l(q) = q**3 + 13*q**2 - 14*q + 9. Give l(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 22723.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -11667*r**2 + 3*r - 13. Let a(g) = -7778*g**2 + 2*g - 9. Let j(q) = 7*a(q) - 5*h(q). Let u be j(6). Round u to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38.5 - 38.6. Let m = 48.06 - 48. Which is the nearest to o? (a) -0.5 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a**2 - a - 1. Let v(w) = -18*w**2 - w - 10. Let x(r) = -4*m(r) + v(r). Let s(z) = z**2 + 3*z - 7. What is -4*s(d) + 3*x(d)?\nAnswer: 2*d**2 - 3*d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50752404.\nAnswer: 2, 3, 1409789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 10*o + 0*o**2 + 2*o**2 - 3*o**2 + 0 - 1. What is the remainder when l(6) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -142?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 133346\/17 < 7844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -403620 by -3844.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 8144, -5, -2 in ascending order.\nAnswer: -5, -2, 0, 1, 8144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z**3 - 11*z - 11. Let v(y) = 2*y**3 + 4*y + 4. Suppose -7*l + 6*l = 4. What is l*b(n) - 11*v(n)?\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -77, 0.004, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 5*q**2 - 2*q - 4. Let l be x(4). Suppose 15 = m + l*m. Suppose -s - 9 = 3*f, m = -4*s - f - 0. Solve 4*r - 2*r - 8 = s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 1105\nAnswer: -11\/1105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a milligram in micrograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 5*y + 2*h + 1, 6 = 5*y + h. Sort y, 0, 3, -4 in decreasing order.\nAnswer: 3, y, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**5\/30 - 13*a**2. Let h(u) = 21*u + 5. Let o(w) = -3*w - 1. Let r(s) = -h(s) - 5*o(s). What is r(z(g))?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 2*l**2 + 2. Let t be p(-2). Suppose 5*x = -2*f + 3*f - 429, 4*f + t*x - 1804 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 7. Let o be g(-3). Suppose -6 = -2*a, o*x - 3*a - 298 = -5*a. List the prime factors of x.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716040 a multiple of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-24 + 16) - 6\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w = -x - 11, -4*w = -5*x - 46. Which is smaller: x or -9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 + 0.17. Let z = -4855\/334 - -6\/167. Let m = z + 16. Which is the third biggest value? (a) -5 (b) m (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 19565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -176265764?\nAnswer: 176265765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + 69. Let g = p + -2. Let o = -1 - -4. Solve c + 3*c + o*y = g, -5*c = -2*y + 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 2*j + 18. Let l be j\/4 + (-3)\/(-12). Which is the closest to -2\/7? (a) l (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/108 and 107\/774.\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 784811447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 263.0551 kilograms?\nAnswer: 263055100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 9 - 6)*(-12*x + 13*x - 13*x).\nAnswer: -84*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -50*r - 837. Does 27 divide z(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 117 and -0.06891.\nAnswer: 116.93109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 2\/5, -1\/7, 3621, -2\/25, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 6*j + 8 = 2*b, -5*b - 4*j = -34 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 17877 = 4*s - 312840, 4*s - 3*y = 330719. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 j when four letters picked without replacement from {v: 4, x: 5, j: 7, k: 2}?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 22001*h**2 - 1. Let g be 51\/15 - -2 - (-4)\/(-10). Suppose 4*w + g = -3*s + 4*s, -3*w - 2 = s. Let m be a(s). Round m to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 293 and 9?\nAnswer: 2637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -20*t - 11. Let q(p) = -41*p - 22. Let w(z) = -3*q(z) + 7*s(z). Let n(o) = -8*o - 5. Give 13*n(k) - 6*w(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8224671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25782, 25783, 25796, 25827, 25882?\n\"Answer: g**3 - 6*g + 25787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-411)\/(-27) - 2\/9. Let d = z + -8. Suppose -5*l + 17 = -2*o, 2 - d = 5*o - 5*l. Solve 0 = t + 3, o*n = 2*t - 0*t + 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146408651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-25)*l\/(l**(-15)*l*l)*l**(20\/3)*l**7 assuming l is positive.\nAnswer: l**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*i - 228 = -8*i. Solve -3*z = -4*h + 25, 31 = -4*z - z + i*h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -19. Suppose 4*n - 1 = -d. Is n less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 25*x - 111. Let g be z(30). Solve 0 = g*j - 36*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.378223 rounded to 2 dps?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040234 to 3 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/675*-18*-30.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 493143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**3*n**3*o - l**3 + 2027*l*n**3*o + 141*l*n**2 - 117*l*n*o wrt n?\nAnswer: -12*l**3*o + 12162*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*a + 5*f + 24 = -177*a, 0 = 2*a - 4*f - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7846 + 7850. Sort -3, -1, r, -2, 148 in descending order.\nAnswer: 148, r, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m. Let u be 2\/2*(-4)\/(-1). Let s(b) = b - 9. Let w be s(u). Let o(z) = z - 1. Let h(f) = w*o(f) - 4*x(f). Calculate h(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - ((-3 - -4) + 1). Find the third derivative of v**4 - 12*v**5 + 14*v**d - v**4 wrt v.\nAnswer: -720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 11*z**2 - 25*z - 3. Let j(w) = -7*w**2 + 16*w + 1. Let x(h) = -8*j(h) - 5*p(h). Let g = -6 + 13. What is the remainder when x(g) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 83921026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5.504 (b) 0.02 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 203 = -139 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73.6999795 + 73.7. What is w rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44228 - -11428. Round a to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9479856 and 2624.\nAnswer: 37919424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 43. What is the remainder when 302 is divided by l(-26)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, s: 5, z: 5, l: 6, y: 1, k: 2}. What is prob of sequence kllz?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 250181235 divided by -5143?\nAnswer: -48645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 4*a**2 - 3*a. Let o be v(3). Suppose o*p + 4 = p. Let u = 5 + -3. Solve -4*b = u*q - 14, 3 = p*b - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 28 = -2*u - v, -3*u + 10 = -2*v. Find the third derivative of -u*k**2 + 2*k**3 + 14*k**2 - 6*k**2 wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1083*z**5 - 99864*z**4\/5 - 623343*z**3\/5 - 1463478*z**2\/5 - 863604*z\/5 + 622104\/5 = 0 for z.\nAnswer: -7, -46\/19, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, e: 8, b: 1, g: 2, u: 4}. What is prob of picking 3 u?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + w + 34, 0 = 2*j - 3*w - 0*w - 22. What is the tens digit of -18*2\/(j\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40253347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -290 + 426. What is the remainder when a is divided by 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*p - 65 = 100*p. Suppose -4*m = -p*k + 2660 - 6947, -5*m + 5385 = -k. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/6)\/(2\/6). Suppose 65 = 5*h - i*g, h + 0 = -3*g + 1. Solve 3*v + h = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from dddqdbdqdddddnzb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 37*w + 10. Determine d(-36).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -1\/2, -0.2, -1 in descending order.\nAnswer: -0.2, -1\/2, -1, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2039, -2111, -2183, -2255, -2327, -2399?\n\"Answer: -72*n - 1967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.05 (b) -3.069 (c) -0.2 (d) 4 (e) 25 (f) -1 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129015 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 225173122814 - 0.3?\nAnswer: 225173122813.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 44.9. Let q = 0.2 - 1.2. Sort z, -0.5, q.\nAnswer: q, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95)*3*-6)\/(sqrt(45)\/(sqrt(720)\/sqrt(5))).\nAnswer: 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -0.9. Let p = 267.5 + -267. Put i, p, 5 in decreasing order.\nAnswer: 5, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 8:42 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 49 = -5*o, -14*p = -o - 121188 + 121099 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*d - 2629 + 828 = 641. Solve 27*i + 8 = d*i - 2*o, -5*i + o - 11 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1013.3 + -1013. Suppose 4*l = 5*l + 8. What is the smallest value in 5, 1\/2, y, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 5. Let m(q) = -1. Let v(r) = 2*m(r) - o(r). What are the prime factors of v(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 926 - 538. Let r = 1911 - 2318.3. Let t = r + q. Round t to 0 dps.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 17\/47708151?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -632744892 by -6.\nAnswer: 105457482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -266995, -533990, -800985, -1067980, -1334975?\n\"Answer: -266995*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1857 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 131 - 105. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21587258.\nAnswer: 2, 7, 11, 140177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = 619 - 13615. What is the remainder when n is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 411*f + 815. Calculate d(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.05 (b) 0.1 (c) 1\/4 (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 11611410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 28*p**2 - 31*p**2 - 3 as k*p + z*p**2 + h and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**3\/3 - 5360*w**2\/3 - 5*w\/3 + 5360\/3 = 0.\nAnswer: -1, 1, 1072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 2*p**2 - 4*p**2)*(529*p + 77 - 150*p - 77).\nAnswer: -379*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x*x\/(x*x**(2\/5)))\/x*x)**(-24\/11))**31)**(-4\/29) assuming x is positive.\nAnswer: x**(23808\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.372 - -7.251. Which is the second biggest value? (a) 2\/5 (b) -8 (c) -0.1 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12 + (-10956)\/770 + -2 + 9\/2 and 97\/266.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -s - 1634, 0*s - 5*m = -2*s - 3280. Let v = 3641 + s. What are the prime factors of v?\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295402970 is divided by 3692537?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 10:35 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11492496 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28582 is divided by 1217.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9588 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22.731 + 5\nAnswer: 27.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10007.5 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 61*o + 25. List the prime factors of c(-30).\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**0*h)))**(-34)\/((h**(-2)*h)\/(h*h**(3\/2)*h)) assuming h is positive.\nAnswer: h**(-59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-3)\/((-6)\/10). What is the tens digit of 218 + 2*(m + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-r + r - 2*r**2) - 6*r**2 + 4*r**2 - 4*r**2 + 0*r**2 + r**2 + r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-583)\/22 - -9)*(-54)\/45?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -854, -793, -732, -671, -610, -549?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31906 divided by -602.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23938002 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7240?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38077187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 5*n + 7. Let h(x) = x**2 - 11*x + 12. Let g be h(10). Suppose g*o - w = 8, 3*o + w - 34 = -3*w. Calculate m(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 301.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -787 + 785. Let j be (-3)\/2*(-24)\/(-9). Let s = 0.04 + -0.34. What is the nearest to s in j, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = -5*i + 5*o - 60, -4 = o. Calculate the remainder when -1 - ((-2 - -1) + -34) is divided by (-94)\/i - 2\/(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5989782?\nAnswer: 2, 3, 37, 26981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 11:10 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5837 - -1881. List the prime factors of d.\nAnswer: 2, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -32.13. Let s = x - 0.11. Suppose -3*z = 2*z + 10. What is the closest to 1 in z, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + 3 - 3)*(0 - 5*p + 0) + 23*p**4 + 5*p**4 + 10*p**4.\nAnswer: 28*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -14. Suppose -29*z - 2*r - 54 = -30*z, 99 = 3*z + 3*r. Put w, z, -2 in decreasing order.\nAnswer: z, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 11:03 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*l**4 - l**2 + 24692*l + 1401911.\nAnswer: -24*l**3 - 2*l + 24692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-48)\/28)\/3)\/(5\/7)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126650.\nAnswer: 2, 5, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -33 (b) -5 (c) -1\/4 (d) -2 (e) -2.1 (f) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 61*d + 626. Let m be z(-10). Solve -8*c - 16 = -m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 - 10577817?\nAnswer: -10577794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.102*129.\nAnswer: 13.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j + 3. Let v(s) = s**3 - 4*s**2 - 4*s - 7. Let g be v(5). Let r be a(g). Which is smaller: r or 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/7 - (-1 + 0). Suppose -y*i - 2*s = -4*s + 15600006, 2*i - 3*s + 10400009 = 0. Round i to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201340361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 872.0908 nanograms in micrograms?\nAnswer: 0.8720908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*((-132)\/126 - (-6)\/(-21)). Solve 3*h - 2*h = 2, a*s - 5*h + 14 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65299 and 12870?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -27837067\nAnswer: -55674134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -15\/74, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 42*j + 9. Let l(a) = -11*a - 2. Let b(m) = -9*l(m) - 2*p(m). Let g(c) = 31*c**2 - 20*c**2 - 12*c**2. What is b(g(d))?\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 22*m**5 - 118*m**4 + 18*m**3 + 118*m**2 - 40*m = 0.\nAnswer: -1, 0, 4\/11, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12837662 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-12)*(0 - 2). Let x(s) be the first derivative of 3\/2*s**2 - s + i*s**3 - 1. Determine u so that x(u) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 96789, 193576, 290363?\n\"Answer: 96787*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000059170517 rounded to 7 decimal places?\nAnswer: -0.0000592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*z**2 - 9*z**3 - 23*z**2 - 20*z**2 - 25*z**2.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437347 is divided by 3471.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 3. Solve -3*o + 3*k + t - 1 = 0, -4*o - 5*k = 29 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + t = 2*k + 2, -12*t - k = -468 + 419 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -268586 divided by 1.\nAnswer: -268586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-3\/7)*h**(2\/21)*(h**(-1))**(1\/6))**(-7) assuming h is positive.\nAnswer: h**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.18589t in micrograms?\nAnswer: 58185890000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, 4746, 18 in increasing order.\nAnswer: 0, 9, 18, 4746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1525, 6619, 14763, 22907, 31051, 39195?\nAnswer: 47339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2800 is divided by 2375.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 638 - 400. Calculate the highest common factor of 112 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 854 or 390?\nAnswer: 854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Factor 5 + 12*j**m + 1 - 3 + 9*j**2 + 15*j + 9*j**3.\nAnswer: 3*(j + 1)**2*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*w**5 + 73791*w**4 + 4654*w**2 - 159 wrt w?\nAnswer: 420*w**2 + 1770984*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 116*r + 33 - 171 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3716167 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/2496 and 149\/14297712.\nAnswer: 57190848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.15 - 0.65. Which is the closest to 1\/2? (a) -1\/4 (b) 4\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - -0.05. What is the second biggest value in -4, 2\/11, s, 6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllalllall. Give prob of picking 2 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 390721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 16*d**2 + 101*d + 817. Let m be l(-13). Sort m, -6, 1, -1.\nAnswer: -6, -1, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4))**38\/(p\/((p**(-2)\/p)\/p))**(-1\/3) assuming p is positive.\nAnswer: p**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**4\/6 + r**3\/2 - 210*r**2. Calculate d(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 17*a + 20*a = 83044, 49834 = 3*j - 2*a. List the prime factors of j.\nAnswer: 2, 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 7:12 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**3 - 12*f**3 - 15*f**3 + 2 + 0*f**3 to z*f**3 + c*f + q + d*f**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7847\/10 - -783. Let r = 131\/10 + l. Which is smaller: r or 12?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2622388 is divided by 237?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11*o**2. Let q(s) = 3011624*s. Calculate q(h(l)).\nAnswer: 33127864*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/36 - 1)\/(-2)*(12 - 15). What is the third smallest value in -0.09, l, -0.128, 0.2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-11*c - c**2 + 11*c)*(2 - 4 + 4) + 21*c**2 + 15*c**2 - 38*c**2)*(-2 + 0 + 17*c**2 - 20*c**2).\nAnswer: 12*c**4 + 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*r + 9 = -q, -2*q = 4*r - 22. Let j = 0.85 + -0.87. Which is smaller: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22055 (base 8) to base 14\nAnswer: 3537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 2670?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 + -277. What is the common denominator of -5\/12 and (-200)\/160*(0 - i\/65)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*p + 1409 + 971 = -38*p. Calculate the highest common divisor of p and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*q = 176*q - 54 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 17?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 474 + -257. Let w = u + -216.9. What is the nearest to w in 0.1, -2\/3, 1\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**2 + 41*l - 10. Let u be j(-8). Let i = 732443\/66 + -11097. Calculate the common denominator of u\/(1 - -2)*(-3)\/(-22) and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:56 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 3:30 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-9) - (-10)\/6. Let w(q) = 6*q**3 - q**2 + q. Let k be w(2). Let n be 22\/4 - 23\/k. Solve -3*s - j*s = n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72646 is divided by 69951.\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/3 - 107*j**2\/3 + 3608*j\/3 - 36784\/3.\nAnswer: (j - 44)**2*(j - 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 9*v**2 + 12*v + 23. Let d be o(-10). Let r(i) = -1 - 6*i - d*i**2 + 6*i. Suppose -b + 6*b + 5 = 0. Calculate r(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26233 is divided by 6552.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 - 7*p**2 - p - 10. Let i be z(-5). Suppose i = -5*q + 5*n, 2*q - 5*n = -n - 24. Is q bigger than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ae0cb9 + -1?\nAnswer: -ae0cba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9390245 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p + 68*p + 353*p.\nAnswer: 441*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 22*f - 135 = -345 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Let z(b) = 0*b - 4*b**2 + k*b**2 + 0*b. Let q(g) = g**2. Give z(q(f)).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 12. Suppose -27 = -o*l + 18. What is the smallest value in 0.02, -1\/3, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + 53*t - 727. Calculate v(12).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5405, -21616, -48627, -86432, -135025, -194400, -264551?\nAnswer: -345472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-285)\/6)\/(255\/(-408)*-2).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 1.2, -6\/5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**2. Let b(c) = -39*c + 12*c - 10*c. Determine p(b(w)).\nAnswer: -4107*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -644625 (base 16) in base 7?\nAnswer: -106600026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*a + 9382, -2*h - 3*a + 13068 = -5724. What are the prime factors of h?\nAnswer: 2, 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1179 is divided by 228?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -22*n**6\/3 + 141*n**2\/2 - 94*n - 104. Let p(o) be the first derivative of j(o). Differentiate p(r) with respect to r.\nAnswer: -880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*r)*(r + 0*r + r)*(0 + r**2 + 0) + 3*r**4 + r**2 - r**2.\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-5 + 5 + -1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7647a2 (base 12) in base 6?\nAnswer: 104101122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8 + 0 - v - 2*v + 2*v. Calculate a(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385*n = -339*n - 1288. Calculate the greatest common divisor of 91 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 419*z**5\/15 - 162*z**3 + 1572*z**2. What is the derivative of n(u) wrt u?\nAnswer: 3352*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -10 - -15) + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4 plus -6.324339?\nAnswer: 0.075661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 - 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -5*i - 9. Let u(d) = -4*d**3 - 13*d**2 - 3*d - 30. Let y(o) = 30*g(o) - 5*u(o). Find l, given that y(l) = 0.\nAnswer: -3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3296.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(66)*-5 + sqrt(66))\/(sqrt(54)*-2)*-4)**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -586 - -622. Calculate the highest common factor of 84 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 356.899 - -0.15\nAnswer: 357.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 27*h - 218. Let s(z) = 40*z - 315. Let f(l) = 13*r(l) - 9*s(l). Give f(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/9*-6)\/((-6)\/9). Let n be (-1 - (r - 3)) + (6 - -88495). Round n to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -3, -16 in decreasing order.\nAnswer: -3, -16, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from {h: 5, x: 2, s: 7, r: 3, l: 1}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(-v - 2*v + 4*v)*(227*v - 105*v + 115*v - v - 3*v + 6*v + (2*v + 1 - 1)*(0 + 2 + 0) - v - v + v + 3*v + v - 2*v + 7*v - 2*v - 2*v).\nAnswer: -247*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(sqrt(76))**2 + (-1*sqrt(171))\/sqrt(9) + 2.\nAnswer: -305 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 51929*m + 779155. Give f(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52459253*f**6 - 5298*f**2 + 3167 wrt f.\nAnswer: 6295110360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 + -30. Suppose i + 3*g - 45 - m = 0, i - 4*g = 115. Let r be 2\/10 - ((-264)\/30 - 0). Calculate the greatest common factor of r and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4446 at least 4446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 4. Let j(k) = -k**3 + 7*k**2 + 10*k + 4. Let v be j(8). Calculate the remainder when 93 is divided by z(v).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7496 is divided by 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 14*j**2 - 13*j + 5. Suppose -41 = -2*o - 15. Let g be b(o). Calculate the remainder when 40 is divided by ((-11)\/g)\/((-8)\/40).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2499)\/392*128\/288*1.\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 10*k + 6. Let w be 212\/20 + 2\/5. Let v be x(w). Let q be ((-4)\/v)\/((-10)\/25). Sort -0.5, q, 1\/3.\nAnswer: q, -0.5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3 - 144670*h**2 + 2616537750*h - 13079072250 = 0. What is h?\nAnswer: 5, 36165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 8:21 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1f3e (base 16) in base 2?\nAnswer: 1111100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight ninths of a hour in seconds?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -443388, -443371, -443350, -443325, -443296, -443263?\n\"Answer: 2*l**2 + 11*l - 443401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26 + 11)*(-2)\/6. Let t be (-1)\/(-1) - w - -8. What is the closest to 1\/4 in t, -0.1, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3672 * 0.39.\nAnswer: 1432.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*j + 164*j + 18 = 0. Suppose j*d + 2*g - 15521 = 6*g, 3*d = -4*g + 15481. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65 and 52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 8:51 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/4 of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -99351, -198234, -297117?\n\"Answer: -98883*i - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*z = -0*l + l - 214*z - 9 + 4, -4*l + 5*z = -65 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 302*y**2 + 8*y - 16. Let r(d) = d**3 + 304*d**2 + 7*d - 14. Determine 5*c(m) - 6*r(m).\nAnswer: -m**3 - 314*m**2 - 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z + 32 = -37. What is the third biggest value in 0.2, -0.5, 2, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -4. Let s be (h - -8)*1*33. Suppose s + 49 = 4*r. Calculate the greatest common divisor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b + 4. Let k(d) = d - 1. Let a(m) = -4*k(m) - p(m). Let i(n) = n. Let s be i(7). Let r = 8 - s. Determine a(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 + 344562*p**2 + 1378260*p + 1378264.\nAnswer: -(p - 344566)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100971131911\/82292 - -1226986. Is -1 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6)\/o*o)\/o)**11*o**(-1\/12)*(o*o*o**(-1\/2))\/o assuming o is positive.\nAnswer: o**(-919\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 18, -14.8?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -83934 divided by -13989\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 37 + 3b6f?\nAnswer: 3ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 28*o**3\/3 + 105*o**2\/2 - 167*o. What are the prime factors of m(14)?\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-75)*(-45)\/(-12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*-4*(2 + sqrt(1331)))**2.\nAnswer: -1602000 - 52800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1. Let h(b) = -11*b**3 - 25*b**2 - 6. Let i(s) = 6*f(s) - h(s). What is the third derivative of i(l) wrt l?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9951916 divided by 108173.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - x + 3*x)*(-15*x - 21*x - 19*x) to the form w*x + o*x**2 + n and give o.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 284972?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1439 greater than or equal to -162.62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - (-3)\/6*-2. Let f be (6\/(-4))\/(r\/(-190)). Suppose g - f = -2*g. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - d**4 + 137*d**2 - 30*d**4 - 137*d**2 + (4*d - d - d)*(0*d**3 + 4*d**3 - 3*d**3) as b + h*d**3 + f*d + k*d**4 + s*d**2 and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkbkb. What is prob of picking 3 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 1\/1846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**3\/3 - d**2\/2 - 5*d. Let t(c) = 8*c + 5. Calculate 9*b(s) + 2*t(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -25 (b) -0.2 (c) 0.3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 4:51 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 s when three letters picked without replacement from {t: 4, s: 15}?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6 + 55*g**2 - 70*g**2 - g**3 - 15*g + 0. What is the units digit of f(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by 1145\nAnswer: 12\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32430791 and 6331?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011122102 + 0?\nAnswer: -2011122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7814039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 216 - 211. Solve j*b + 45 - 40 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = -g, r - 25 = 5*g + 6. Let h(c) be the second derivative of 5*c**4\/12 - 2*c**3\/3 - 29*c**2\/2 - 264*c + 1. What are the prime factors of h(r)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 0. Suppose 8*m = n*m + 4. Suppose m*s = 4*r + s - 84, 2*s = -4*r + 84. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1156201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-7 - -5) - 20\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 808 divide 494116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1597*c + 4110*c = 1659*c - 46970 for c.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -460 + 417 - (-85)\/1?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -3\/14*l**2 + 0 - 1\/35*l**5 + 5\/28*l**4 + 44*l - 4\/21*l**3. Factor d(m).\nAnswer: -(m - 3)*(m - 1)*(4*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*f + 94 = 262 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -444 - -213. Let f = k + 237. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*p + 20. Let u be p\/70 - 26\/(-14). Suppose 0 = u*r - 37 + 13. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 11*t**2 - 7*t + 6. Let s be (-13)\/(-4) + (-18)\/(-24). Does 11 divide u(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*n**3*q - 3*n**2*q - 44*n*q wrt n?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Suppose -2095 = -r*m + 3*v, -3*v + 2*v - 2097 = -2*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*y = -16, -5*y = 8*l - 12*l + 28. Suppose 2 + 0 = l*o, -w = -o + 1. Let -2\/5*z**2 + 0*z + w - 2\/5*z**3 = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:04 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 936\/(-153) - (-4)\/34. Let m be (-1)\/t - (-1)\/2. Let s = -0.072 - 0.018. Which is smaller: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-10)\/6)\/((-25)\/(-2325)). Let z(c) = 3*c + 93. Let b be z(m). Solve -24\/5*f**2 - 16\/5*f + b - 1\/5*f**4 - 9\/5*f**3 = 0 for f.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2772129, 5544266, 8316403, 11088540?\n\"Answer: 2772137*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 2*v - 27*v = -5*s + 1722, 214 = -4*v - v - 4*s for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -9\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 14*s - 18. Let r be c(8). Let l = r + -46. Let g = l + 20. Solve g*z = -z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 1062.\nAnswer: 3186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + -31 + 30 - (31 - (-9 + 1)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -23*x**3 + 0*x + 2*x + 21*x**3 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43321363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212263 is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7055 = -55*m + 7905. Calculate the greatest common divisor of 51 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 8*z**2 - 8*z + 22. Let d be f(-6). Let b(y) = 3*y**2 + 4*y - 1. Let v be b(d). Solve q + q - 10 = -4*o, -3*o = v*q - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37 and -3.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + -9. Let h = -1510\/13 + 7516\/65. Let j = h + -1\/13. Sort 5, z, j.\nAnswer: z, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/54 and -95\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-315)\/(-13125))\/((-93)\/(-310)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107088640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1416*y**2 + 2390*y**2 - 3823*y**2.\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -404, -0.02, -3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 3*d = 2*p + 227975, 569995 = -5*p - d. Round p to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 4 (c) 203 (d) -1.4 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 22 - 13. Factor 3469*r**4 - c*r**3 - 3466*r**4 + 0*r**3.\nAnswer: 3*r**3*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22185 divided by 4437?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 333 and 4982334.\nAnswer: 4982667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -3)*(-15)\/(-20)*-2. Let s be a*(-4 - -15) + -4. Suppose -7*i = -s*i. Solve 3*j + i = 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -3\/5, -1, 4\/9, -43?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41914 divided by -261.\nAnswer: 41914\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -12.8. Sort -6, k, 1.\nAnswer: -6, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 2*z - 2. Let t(m) be the first derivative of 2*m**4 - 17*m**2\/2 + 17*m - 6. Give 51*f(d) + 6*t(d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 0.701.\nAnswer: 0.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = x - 3, 2*x - 11 + 3 = -u. Suppose 2*t + x = -5*y, -2*t = 5*y - 3*t + 5. Let k be 5*1\/5 + 12 + y. Is 14 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 4*o - 10. Is u(-7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*h - 3*a + 4, -3*h - 12 = -3*a. Solve -5*n = -h*n + 7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -85, -214, -433, -742?\n\"Answer: -45*u**2 + 6*u - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1965, 7758, 17163, 29976, 45993, 65010?\nAnswer: 86823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2152 - 25*j**2 + 2149 - 7*j**2 + j**3 + j**3 to the form k + l*j**2 + i*j**3 + a*j and give l.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8394098 divided by 9?\nAnswer: -8394098\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12110*z**3 + 45*z**2 + z + 6996030.\nAnswer: 36330*z**2 + 90*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746 is divided by 258?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 109 = -4295*j + 4299*j, 46 = -2*j + 8*u for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyvc when four letters picked without replacement from yvycccyycyyvccyyy.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 4:11 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(((r\/(r\/r**13))\/r)\/r))\/(r*r**(2\/11))*(r*(r*r**(-14)\/r)\/r)\/(r\/(r*r*((r*r\/(r*r**(-7)))\/r)\/r*r)) assuming r is positive.\nAnswer: r**(-189\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-401)\/(-5))\/(-1) - (-2)\/10. Is -81 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1528 or 12?\nAnswer: -1528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (234\/(-8))\/((-6)\/16). Let q be (-3159)\/l + 5\/2. Is -38 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-100))\/1)\/(3915\/(-6525))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/133 (b) 0.052 (c) 4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, d: 7, z: 2, t: 1}. Give prob of picking 2 z and 1 h.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 101234\/42 - 2\/6. Let m = c + -1013. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1269943, 5079781, 11429517, 20319151, 31748683, 45718113?\nAnswer: 62227441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70235?\nAnswer: 5, 11, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3*d - 4. Suppose d*w + 2*w - 32 = 0. What is the greatest common divisor of 24 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122242918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 12*h**2 + 292*h + 660.\nAnswer: -4*(h - 11)*(h + 3)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 5*y - 24. Give k(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.5669589 + 28.5669641. Let f = b + -18. What is f rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*z**3 + 26*z**3 + 24*z**3.\nAnswer: 74*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 + 146*j - 140. What is the remainder when r(-48) is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253 + -228 - (1 + 5).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7*n. Suppose n*j + 12 = j. Calculate the smallest common multiple of j and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvvlczll. What is prob of sequence vvl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 4690 = -4*c + 15*q, -4*q - 5863 = -5*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2833a + -175?\nAnswer: -28504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -79842\/629, -1\/5, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f + 5. Let n(x) = 5*x + 5 - 5 + 4. Let v = -179 - -174. Let q(w) = v*n(w) + 4*p(w). Let s(g) = 5*g. Give s(q(k)).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzkxdvx. What is prob of sequence dzdx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**3 - 5*u**2 - 5*u - 14. Let j(r) = -6*r**3 + 8*r**2 + 8*r + 21. Let q(i) = -5*j(i) - 8*k(i). Find the first derivative of q(v) wrt v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a kilogram in grams?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 - 2*p - 1. Let s(a) = 8*a**2 + 4*a - 757. What is 2*j(t) + s(t)?\nAnswer: 4*t**2 - 759","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 18, d: 1}. What is prob of sequence dt?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171 and 496356?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -5 (c) 1\/2 (d) 2 (e) 106165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 6*h**2 - 3*h - 17. Let j be l(7). Suppose -9*w + j*w - 400 = 0. What is the greatest common divisor of w and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, 1\/3, -3\/11, -0.3, -0.8, -1847, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l**3 - 4*l**2 + 2 - l + 2*l**2 + l**3.\nAnswer: (l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2206, -29, 1 in increasing order.\nAnswer: -2206, -29, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 939670753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137 + -314. Let x = -177.0000294 - p. Round x to six dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1628802 and 85\/7812.\nAnswer: 3257604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -7*a, -9 = -3*n - 5*a. Let y be (98\/4)\/(n\/18). Suppose -y - 327 = -3*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 = 0, 31*z = -2*y + 34*z + 2. Solve -28 = -5*s + y*b - 27, 2*b + 1 = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -985*o**3 - 46755*o**2 + 350710*o + 173880 = 0. What is o?\nAnswer: -54, -92\/197, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4339 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 1:33 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 4:36 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 256*y. Suppose -5*h - 17 = 3*p, -3*h - 19 = -p - 6. Let s be w(p). What is the tens digit of s\/14 - (-14)\/(-49)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/(-36))\/((-50)\/(-30))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (sqrt(539) - (1 + 0 + sqrt(539))**2)).\nAnswer: 7*sqrt(11) + 545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 2*x - 16 - 8 = 0, -21 = -5*x + 4 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45645 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 4. Suppose a*d + d - 25 = -z, -2*d + 28 = 4*z. What is the first derivative of -5 + 3 - 2*s**2 + 1 + d wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111 - 1010111000010111?\nAnswer: -1010110110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g = -4*g - 7954324. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -67*n**3 - 2*n**2 - 5*n - 4. Let q be o(-2). Let x = q - -19. What are the prime factors of x?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11138715 divided by 945?\nAnswer: 11787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g + 35. Let f(q) = q - 4. Calculate the lowest common multiple of f(g) and (-2 - -6)*(-7)\/(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnwnwnnnnwn.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/2)\/((-12)\/(-396)). Let z = t + 35. Suppose -z*a + 88 = 3*w + 2*w, -a + w = -58. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-1 - 13 - ((10 - -61) + -86)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**3 + 6*b**2 - 5*b - 5. Let r be w(5). Let l be -5*((-261)\/r - 1). Is 1 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-168)\/40 - -3)*68\/8*-10. Solve -u*o + 276 = -33*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5575 - 2.435. Let m = w + 3. Round m to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1021*g + 3023. Let u be v(-2). What is the highest common divisor of 1308 and u?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 2\/43, 0.3, -1\/4, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 - -0.4. Let z = -29.9 - -29.4. Which is the smallest value? (a) -1 (b) z (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2349\/5 - -470. Solve 1\/5*y**2 - s*y - 2\/5 = 0 for y.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55087 - 2820. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189468, -189467, -189466?\nAnswer: -189465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/4788)\/(1\/501). Let o = m - -1\/266. Find the common denominator of o and (278\/14)\/(18\/21).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 666, 1336, 2004, 2670, 3334?\n\"Answer: -o**2 + 673*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v + 21. Let f(a) = a. Let x(g) = 4*f(g) - h(g). What are the prime factors of x(9)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108*-0.5\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 106, 297, 636, 1165, 1926, 2961, 4312?\nAnswer: 6021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -995\/7 - -999\/7. Factor -a*k**3 + 4\/7*k + 0*k**2 + 0.\nAnswer: -4*k*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 443*v**2 - 2*v + 21. Let z(g) = -g**2 - 1. Let w(a) = -h(a) + 4*z(a). Let t be w(-5). Round t to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 24 = -3*s, -5*s + 76 - 20 = 2*b. Let x(g) = 12090*g + 8. Let h be x(s). Let p = h + -25908. What is p rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108570753?\nAnswer: 3, 67, 60017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.48882 to the nearest integer.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187905*c**3 + 0*c**2 + 375869*c**3 - 187972*c**3 + 0*c**2.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-2) + (4 - -3). Suppose -4*r - x = -3*r. Sort r, 0.5, -6 in decreasing order.\nAnswer: 0.5, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 20 = 0, 0 = 3*r + 2*g - 5*g + 12. Let h = 3 - 3.3. Let t = 41.0125 + -46.0125. Which is the fourth smallest value? (a) 0.4 (b) t (c) h (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 320 + -319.94. What is m rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 461 - 461 - 10*t**4 + (-3*t**2 + t**2 + 4*t**2)*(-t**2 + 3*t**2 - t**2) + 0*t**4 + 4*t**4 - 2*t**4.\nAnswer: -6*t**4 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*j + 3*j + 3, -5*i - 6 = -2*j. Suppose 0*w - 4*w + 96 = i. Let s be -13*(-44)\/12 + 2\/6. What is the greatest common factor of w and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 359951444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -345 by -5.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.6+-41276.785\nAnswer: -41277.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -1738236.\nAnswer: -1738236.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 692 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(2 + 0)\/(-1). Suppose 15 = -2*h + 7*h. Is w at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3. Suppose n = 4*d - 3*f - 37, -5*d + 5*f + 25 = -25. Let u(v) = v**3 - 6*v**2 - 7*v + 3. What is the units digit of u(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-4)\/(-20)) + (-3 - -1). Suppose -3*j = -g*r + 3924, -2*r + 4*j + 2430 + 176 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwjywvjjwj. What is prob of picking 1 v and 2 j?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 2. Suppose 5*a + 4*j - 9 = 0, 3*a + 1 = 5*j - 1. Let n be k(a). Solve -3*c - 2*c = n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17131 or -3837521\/224?\nAnswer: -17131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1980) + 2*sqrt(1980))*-1*-1)\/(((sqrt(132) + sqrt(132)*1 + sqrt(132))*2)\/(sqrt(36)\/sqrt(3)*-5)).\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1*-3959.\nAnswer: -8313.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - s**2 - s**2)*(-1 + 6 - 3) + 93*s**2 - 447*s**2 + 78*s**2 - 519*s**2.\nAnswer: -799*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s - k - 20 = 0, 121 = 5*s + 2*k. What is the remainder when s is divided by (0 + -8)*(-12)\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*j - 4092, -2*u - 5*j + 4108 = -6*j. Let b be ((-3)\/6)\/(2\/u). What is b rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28155?\nAnswer: 3, 5, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -304 + 3421544?\nAnswer: 3421240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9a - -49?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51692*q**3 + q + 3978 wrt q?\nAnswer: -310152*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.713 + -3.713. What is the smallest value in 3, 1\/4, u, 5, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44699919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 5\/2, -3, 145.2, -2\/13, 1\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 15006*d + 633. List the prime factors of h(2).\nAnswer: 3, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + d + 2)*(5*d - 3*d - 3*d) + 3*d**2 + d**2 - d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48807496.\nAnswer: 2, 761, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26337 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 370 - 372. Let m(c) = c + 7. Let f be m(7). Let v be 13125\/f*(5646\/(-9) + k). Round v to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1700633 and 77044?\nAnswer: 115643044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6876039 * 5.\nAnswer: 34380195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 3 = -3*r, r - 6*a = -4*a + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -421*v + 76871. Calculate b(174).\nAnswer: 3617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 12 = -3*w - 5, w - 2*p = 5. Suppose o - 4*o = 15, 22 = 2*k - 2*o. Calculate the smallest common multiple of k and w\/(10\/12 + -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 910 (base 13) in base 9?\nAnswer: 2084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4422 is divided by 619?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h - 3*h)*(1 + 1 - 4) + 0 - 2*h + 0 + 27 - 1661*h + 3332*h - 1662*h.\nAnswer: 11*h + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*d**4 - 2*d**2 + 3969098*d - 723718939 wrt d?\nAnswer: -60*d**3 - 4*d + 3969098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 2176988\nAnswer: -6530964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 17*r = 672. List the prime factors of (r\/(-63))\/(1\/(-48)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 0.107.\nAnswer: -3.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 15*z**2 - 5528*z - 5560. Calculate h(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 6) to base 15.\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8611875 and 410625.\nAnswer: 5625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i + 4. Let r be u(5). Let v be 6\/28*r\/(-6). Which is the second smallest value? (a) -2\/17 (b) 5\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(0*j + 0*j - j) + (-3 + 3 - 2)*(-j - 2 + 2)*(-5470 - 5174 + 2510)*(-4 - 2 + 7).\nAnswer: -16269*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -256*u**5 + 34112*u**4 + 22899216*u**3 + 2550512828*u**2 + 85730733284*u.\nAnswer: -4*u*(u - 413)*(4*u + 373)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 13*f**2 - 12*f. Let m = -3 + -9. Let j be l(m). Let p be 3 + -6 - (0 - j). Let d(t) = 2*t**2 + 5*t + 3. Calculate d(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/57 and -41\/33.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 201766417*d**3 - 104621336*d?\nAnswer: 1210598502*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(171) + -2 + sqrt(171))*-3*-3 - (5*(sqrt(171) + -1) + -4 + 2 + sqrt(171) + sqrt(171)))**2.\nAnswer: -726*sqrt(19) + 20807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 1804516*b**2 - 203518276896*b - 203516472384.\nAnswer: -4*(b + 1)*(b + 225564)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090564?\nAnswer: 2, 103, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllggggl. What is prob of sequence glgl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 60 = -20*a, -79*a + 2*v = -75*a + 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14*-57)\/(-14) + 13. Let p(m) = -50*m**3 - 35*m**2 + 35*m + 35. Let a(y) = 3*y**3 + 2*y**2 - 2*y - 2. What is o*a(r) + 4*p(r)?\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.037 + 0.01. Round m to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 2*u - 10. Let v(y) = -y**3 + 9*y**2 - 6*y. Calculate the remainder when v(6) is divided by c(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84 (base 15) to base 3.\nAnswer: -11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 4*c**2 - c - 4. Calculate h(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12532)\/11440*-33 + (-6)\/40?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-3 - -1) + -6 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 12. Let f = -14 - -11. Does r = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -0.051, 2\/100775.\nAnswer: -0.051, 2\/100775, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62207538*j**3 - 13*j**2 - 848108*j?\nAnswer: 373245228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 3*g**2\/2 + 4*g - 160. Let d(t) = -4*t - 3. Give -6*d(x) - 5*f(x).\nAnswer: 9*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*w - 8, -2*w - 22 + 0 = -4*s. Solve -4*g + 28 = -5*v, s*g + 0 - 6 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1312607 is divided by 1002.\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + 8*y + 3*y + 8*y to the form k*y + w and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 187500?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4379474 to the nearest integer?\nAnswer: 2093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31612 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 404, 7229, 25760, 61853, 121364, 210149, 334064, 498965?\n\"Answer: 976*r**3 - 3*r**2 + 2*r - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l + 2*l**2 + 2*l**4 - l**2 - 2 - 2*l + 0*l**4 as j + t*l + o*l**3 + r*l**4 + g*l**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine halves of a centimeter in millimeters?\nAnswer: 245","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = v + 1, 3 + 0 = v. Suppose 4*h = 16, 0 = -k*w - 2*w + 5*h + 16. Calculate the remainder when 1 + -1 - 78\/(-3) is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/787 + 37786\/3935. Factor 38\/5*s**4 + 17\/5*s + 9\/5*s**5 + 62\/5*s**3 + 2\/5 + k*s**2.\nAnswer: (s + 1)**4*(9*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1377 and 357.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 24 - 8. Suppose -5*i + 31 + 49 = 0. Let q be i\/(-66)*(-12)\/k. Sort 2\/19, -1\/7, q in decreasing order.\nAnswer: q, 2\/19, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 3:00 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0037216 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -104*q - 79976. Determine a(-769).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2365185665 minus -1.1486?\nAnswer: 2365185666.1486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - x + 64. Is (-2)\/x - (-6617)\/52 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, g: 5, b: 3, y: 2, z: 1}. What is prob of sequence bygg?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -70288*t + 23. Let g(q) = 15617*q - 5. What is -5*b(n) - 23*g(n)?\nAnswer: -7751*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 650\/3 - 216. Let w(t) = -t + 6. Let k be w(6). Determine p so that -4\/3*p**2 + 2\/3 + 0*p**3 + k*p + b*p**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16, -39, -76, -127, -192, -271?\n\"Answer: -7*b**2 - 2*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-12))\/(1*10\/15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzhhhozhhoh. What is prob of sequence hzho?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 10:04 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 - 33*k**3 + 6*k**2 + 1555*k**3 + 438*k**3.\nAnswer: 1960*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.103 and -2.7.\nAnswer: -2.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -95685.1 rounded to the nearest one hundred?\nAnswer: -95700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-15) + (-130)\/(-25). Let j(g) = -2 - 3 - 158*g + 160*g. Give j(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61463442?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/5 + (-392)\/20. Let g = 24 + x. Suppose -2*o + 6 = 0, -g*s + 195 = o + 4*o. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 3*f**3 - 1 + f**4 + 3*f**3 + 6*f**3 - 3*f**3 in the form u*f**2 + y*f**3 + n*f + v*f**4 + x and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19461 - -19463. Solve -w = 4*w - 4*o + 32, f*w - 7 = -5*o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/128 and -26\/59.\nAnswer: 7552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -777*g = -783*g + 14214. Suppose -5*q + 0*q - 4*h = -2367, 5*q + 3*h = g. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15001\/6 + 4965223\/1986. Let c = w - -44131\/1986. What is the common denominator of c and 15\/54*107\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -96. Let h be 11 - 4 - f\/19. What is the greatest common factor of 583 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*z - 2*u, 0 = -4*u + 115 - 111 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 172 - -706. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306592 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -1\/5, 40, -0.144?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 16*i + 1. Let y be r(1). Let q = -811 + 896. What is the greatest common factor of q and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 93246.5.\nAnswer: -27973.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 3. Let v = 168 - 168. Suppose v = -19*q + 26*q - 42. Let a(m) = 6*m + 18. What is q*a(x) + 34*b(x)?\nAnswer: 2*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 4*a - 57, -3*v + 2*a + 3*a - 42 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-124)\/(-12))\/(-37 - (-2453)\/66).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -6 - (30 + -46)) + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = 11. Let v(b) = b**3 + 9*b**2 - 8*b + 24. Let u be v(h). Suppose -3*f = -u*q - 2*f + 88, 3*q + 5*f - 43 = 0. Is 21 equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -9*g**2 - 6*g**2 - 5*g**2 + 4*g - 20*g + 19*g**2 - 72. Determine y(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141605585 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**2 + 3*n**2 - 12*n**2.\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -5*q + 22, 4*q + 6*k = 4*k + 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1183*c**4 + 32302*c**3 - 156103044*c**2 wrt c.\nAnswer: 28392*c + 193812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymymy. Give prob of sequence ymy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**3 - 2*h**3 + 0*h**3 + (886 - 1800 + 787)*(2*h + 0*h - h)*(8*h - 3*h**2 - 8*h) to the form a*h + m + g*h**2 + o*h**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-10))\/((-825)\/(-50)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/((-5)\/25) + (-46 - -50)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-5) + ((-1056)\/(-15) - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50.46 + 2056.54. Sort -0.4, 0.1, t.\nAnswer: -0.4, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 21060592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-52) + (-1060)\/520. Put 9, -11, 0, s in decreasing order.\nAnswer: 9, 0, s, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6277398?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1155 + -3?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/13)\/(o\/(o\/(o**4*o))))\/((o*(o*o*o\/(o*o**(-1))*o)\/o)\/o)**(-48)*o**(1\/2)\/o*o\/o**(-2)*(o\/o**2)\/o**(-1) assuming o is positive.\nAnswer: o**(3675\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 297518368 a multiple of 1641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 + -2. Let d = -0.44 - r. Let y = d + 0.34. Which is the second smallest value? (a) 5 (b) -0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 706913212?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**2\/5 - 24236*w - 5821248\/5 = 0.\nAnswer: -48, 60638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 3*q**2\/2 - 11. Let s(y) = 7*y**2 - 3*y - 3. Let i(b) = -48*b**2 + 20*b + 20. Let o(z) = -3*i(z) - 20*s(z). Give o(u(t)).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:17 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 + -23 - (4 - 0 - 4)) + (-37 - 1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -7\/12*w**4 + 0*w**3 + 2*w + 0 - 1\/2*w**2. Determine o(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*p - 2*p - g, 2*p = -5*g + 31. Let c(h) be the first derivative of 4\/3*h**3 - p*h**4 - 2\/3*h**6 + 0*h**2 + 5 + 12\/5*h**5 + 0*h. Factor c(z).\nAnswer: -4*z**2*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*r + 294 = 0, 4*c - 4*r + 242 = -46. Let j = c + 127. What is the highest common factor of j and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atvvtctvjttv. Give prob of sequence cva.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3843 and 37820.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 360, 387, 450, 567, 756, 1035, 1422, 1935?\n\"Answer: 3*z**3 + 6*z + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 h when four letters picked without replacement from thktppkpptt.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 5) in base 14?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2242*s**2 - 8*s**3 + 6715*s**2 - 2236*s**2 - s - 2234*s**2.\nAnswer: -8*s**3 + 3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -796 (base 15) in base 14?\nAnswer: -8a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-2))\/l)\/l*l**(-2\/5)*l**(-3\/2)\/l**(-7) assuming l is positive.\nAnswer: l**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, b: 4, s: 3}. Give prob of picking 2 b and 2 s.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 43*z**3 + 5*z. Let j(k) = 323*k**3 + 38*k. Calculate 38*c(g) - 5*j(g).\nAnswer: 19*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 16*w - 510. Let h be c(33). Solve -13 = k - h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33076 - 33076.05. Which is the fifth biggest value? (a) v (b) 3\/2 (c) 0.3 (d) 2 (e) -190\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1172785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3642 = 3*f - 92399*x + 94220*x, -2*x = -2*f - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -466*u + u**2 + 17 + 466*u with respect to u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 3\/(-12)*0. Are 0 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/8)\/(3\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**5 - 526*h**3*n**2 + 131*h**2*n**2 - n**2 wrt h.\nAnswer: -60*h**2 - 3156*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -21*p - 22. Let k be v(6). What is the units digit of (5 - 4) + (-3)\/(3\/k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 157*p - 21 + 297*p - 153*p.\nAnswer: -13*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.5 (b) -2 (c) 2 (d) -0.6 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 2338.\nAnswer: 514360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 18 = 6. Suppose -12 = l*f - 12*f. Solve f*v = -0*v + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7, 341 in increasing order.\nAnswer: -7, 2, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -10 - 8\/(-12)*-6. Factor 3*w + 2*w**2 + 4*w**2 - 2*w**2 - 12 + t*w.\nAnswer: 4*(w - 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 274832 - 3?\nAnswer: 274828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 700*p**2 - 1. Let r = -71 - -103. Let q be r\/256 + (0 - 25\/8). Is x(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 3 - (734 - 797).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -8, -2, 4, 10?\n\"Answer: 6*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 14744?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - (-131*(-2 + 1) - (-48)\/(-16)). Suppose 0 = -6*x + x - 665. Is x not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 41*j**6\/6 - j**4\/3 + 400*j**3\/3 - 2084*j. Find the second derivative of n(s) wrt s.\nAnswer: 2460*s**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/30 and 101\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 44*g**3 + 11*g**2 + 11*g + 11. Let k(y) = 11*y**3 + 3*y**2 + 3*y + 3. Give -3*h(r) + 11*k(r).\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6*(-4)\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7642 - -8.1398. Round k to one dp.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*n. Suppose n = -3*l - 4*c + 2755, -2*l + 1329 = -3*c - 502. Suppose -7*w = -14*w + l. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 1:29 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)\/((sqrt(11) + -2*sqrt(11))*5) - ((sqrt(5) + (sqrt(5) + 1 - sqrt(5)))*3 + (-2*sqrt(180) - sqrt(5))))*2)**2.\nAnswer: -1176*sqrt(5)\/5 + 9784\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28286 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1916623.\nAnswer: 97, 19759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - 42. Let l = -23 - n. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1896*-20*45\/(-21600)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*g + 48, 69 = 5*p - 2*g - 30. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f**2 + 332*f + 2440. Let c be k(-58). Let x be 59*(1 + (-2 - 0)). Is x greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -35, -78, -139?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -130.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-34)\/24)\/17)\/((-1)\/2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 3733*o**2 + 96551*o - 626483.\nAnswer: (o - 3707)*(o - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddv when four letters picked without replacement from dvbdd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 399.655 * -3\nAnswer: -1198.965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 572664525 to the power of 1\/2, to the nearest integer?\nAnswer: 23930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -112110012210120?\nAnswer: -112110012210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 7*n - 21 = 0. Let w = n + 9. Let h be 5\/10 - 10\/(-4). Solve -h*p = 3*f + 6, 0 = f + p + p + w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 14*i - 11. Let u be t(-13). Solve -h - 21 = 4*d, 3*h + 8 = 5*h - u*d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*d - b, -3*b + 1 = -d - 3*d. What is the remainder when 3 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**6\/3 - 25*k**4\/2 + 839*k**2\/2 + 427. What is the second derivative of c(o) wrt o?\nAnswer: -40*o**3 - 300*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 20*n**2 + 13*n - 7. Suppose -3*a = -2*k, -2*a = 20*k - 23*k - 10. Let o(w) = -7*w**2 - 4*w + 2. Let j(l) = k*z(l) - 17*o(l). Calculate j(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 1)*(115 - 263 + 114)*(-6 - 2*b + 6).\nAnswer: -272*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven tenths of a milligram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 108*i - 2758. What is x(-42)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15785 and 3465.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-4)*v))\/v**4*((v**(-1\/3)\/v)\/v*v)**(-2\/51)*((v\/(v*v**(-1)\/v*v))\/v*v)\/v*v*v**(-4)*v*v*(v**(-2)*v)\/(v\/v**3*v) assuming v is positive.\nAnswer: v**(-145\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 a factor of 3616794974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**3 + 26958*m**2 - 1928529*m + 5542884 = 0?\nAnswer: -9057, 3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**3 + 780*m**2 + 38412*m + 37636 = 0. Calculate m.\nAnswer: -97, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + -5)\/2 - -1. Suppose 2*o = -8, 3*u - 133 - 88 = p*o. Let h = -41 + 77. What is the remainder when u is divided by h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 21, -2, -1.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -1)\/(1 + 1). Suppose -c + 3 + 3 = q. What is the smallest common multiple of 6 and (-27)\/(-6) + (-3)\/c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 6.34?\nAnswer: -31.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a**2 - a + 53. Let j(x) = 11*x**2 - 2*x + 105. Calculate 6*j(s) - 14*u(s).\nAnswer: -4*s**2 + 2*s - 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -226, -503, -890, -1387, -1994, -2711?\nAnswer: -3538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22215 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -32. Suppose -52 = d*s + 3*u, u = s - u. Let k(l) = l**3 + l + 1. Let o(a) = -3*a**3 + 9*a**2 + 6*a + 8. Let t(r) = 4*k(r) + o(r). Determine t(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.754 - 1.954. Which is the smallest value? (a) 22 (b) -1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47037?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c**2 - 15*c + 2*c**2 + 5*c**2 + c**2.\nAnswer: -2*c**2 - 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -12.04. Round m to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 32*s**3 - 479*s**2 + s - 256. Calculate g(15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 56 (b) -2\/5 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11213 (b) -0.069 (c) -0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -56. Sort h, -2\/11, 0.3.\nAnswer: -2\/11, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 17 + 2. Suppose -4*s + 3*j = -a, -s + j - 11 = -5*s. Calculate the smallest common multiple of 11 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 2*o**2 + 29*o - 69. What is the remainder when 206 is divided by p(4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 201, 114, -0.2, 452, -4 in increasing order.\nAnswer: -4, -0.2, 114, 201, 452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l + 0 - 1\/6*l**3 + 0*l**2. Let y(s) = 0*s - 3*s + 0*s. Calculate y(i(b)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*y = -2*j + 10, 4 = 4*j - 4*y. Let w = -593.7 + 544. Let o = -50 - w. Which is the closest to 2? (a) o (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 425 = 2*h, -h - 11*t = -12*t - 208. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 10*o - 41. Let s be r(13). Let d be (1\/(-3)*1)\/(s\/84). Let u be (-3)\/8 - d\/48. Which is bigger: 0.1 or u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29340305 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**3\/7 - 356*d**2 + 459264*d\/7 - 26433072\/7 = 0.\nAnswer: 138, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/464 and -93\/4292.\nAnswer: 17168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 73 and -0.0083.\nAnswer: -0.6059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-4*b - 2 + 2)*((5 - 3 - 3)*(-2 + 8 + 0) - 1 + 0 + 3).\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521 + 4911*w + 521.\nAnswer: 4911*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**8\/6720 - u**7\/630 - u**6\/240 + 55*u**4\/24 - u**2 - 15*u. Let l(n) be the second derivative of v(n). What is l(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 + 2 - 12)*(-25*p + 10 - 10) + (-3 + 2*p + 3)*(3 + 1 - 1) - 3*p + 2*p + 3*p + 4*p - 4*p - p.\nAnswer: -543*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 214 (b) -0.01 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -5, 2\/655?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30542 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 - -1.12. Let f = r - 5.2. Which is the smallest value? (a) -1 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 + 713 = 18*d. Calculate the highest common divisor of 11916 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2239\/48 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 4*s**2 - 3*s - 4. Let t be y(-4). Suppose -3*b + t = l, -6*l + 3*b + 12 = -3*l. Let i(x) = -1 - 6 + 0 + x. What is i(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(448)*1 + 2 + 4)**2.\nAnswer: -192*sqrt(7) + 1831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 1374241.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2215 - -1722?\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 25*i**2 + 25*i - 9. Let b be g(24). Suppose -b*k - 8205 = -18*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9243 is divided by 2253?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/10, 2, -0.4, -30 in decreasing order.\nAnswer: 2, -3\/10, -0.4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**2 + 465*y + 1951. Give i(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from uhuhhhhhhuuuuhhhuhuu.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 420?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 247.3471um in millimeters?\nAnswer: 0.2473471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5689 + 6670. What is the greatest common factor of 36 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -354 - -401 - (4 + 29).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + sqrt(52) - sqrt(143)\/sqrt(44)) + (1 + sqrt(1053) + -1 - sqrt(1053)))*-3)**2 + 3 + 4.\nAnswer: 135*sqrt(13) + 1981\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14896918 divided by -3671?\nAnswer: -4058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -48) + -69 - (1 - 69)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a + 7*a + 3 + 2*a - 1.\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.07\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 3 + 3)*(36*o**2 + 3 - 3*o - 8 + 6) in the form x*o + i*o**2 + y*o**3 + t and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d + 3. Let x be k(3). Let s(w) = 2 + 0 - 7 - 1 - 11*w. Let a(n) = -100*n - 55. Determine x*a(j) + 55*s(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-6)*-2 + -1. Suppose 3 - 15 = -t*h. Is -3*h\/((-9)\/53) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128 - 124. Suppose g*r - 5*z = -4*z + 699, 0 = 3*z - 3. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7553.997616 + 7554. What is s rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**3 - 38*z**6 - z**3 + 582*z**2 - 22*z**6 + 57*z**6 + 14*z**5 wrt z?\nAnswer: -360*z**3 + 840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 901, 927, 999, 1141, 1377?\n\"Answer: 4*q**3 - q**2 + q + 897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4)*(-3710*m**3 + 2760*m**3 - 10037*m**3 - 2898*m**3).\nAnswer: -55540*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b + 10*b - 52*b**3 + 0*b + b.\nAnswer: -52*b**3 + 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -7\/3104?\nAnswer: -7\/3104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jghhjlhfjfn. Give prob of picking 2 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 + 0 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -11. Let f = -2369 - -2364. Put 3\/2, f, n in decreasing order.\nAnswer: 3\/2, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(343) + 0 + -1 + sqrt(343))*-2 - (5 + -1 + sqrt(343) + 0))*-1)**2.\nAnswer: 5040*sqrt(7) + 308844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 5*s - 100, 0 = 5*s - 0*p - 3*p - 80 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzbgbzf. Give prob of picking 1 g and 2 z.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 56 = 5*s + 9, -2*s + 4*t = -26. Let b(p) = 7*p - 10*p + 9*p + s*p - 58. Is b(21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -2*a**3\/21 - 118*a**2\/7 - 6962*a\/7 + 1495. Determine s, given that p(s) = 0.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22699980 divided by 331\nAnswer: -68580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 7:56 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022220220221 (base 3) to base 11.\nAnswer: -776573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0.36. Let v = j - -14.26. Let o = 9 - v. What is the biggest value in 4, 1\/8, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18406.\nAnswer: 2, 9203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.21, 0.1, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4095 and 20864970.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 13004?\nAnswer: 13004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-294)\/(-441) + 244\/(-60)?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00045710899 to 6 dps.\nAnswer: -0.000457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 507 divided by 13.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6750907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (8 + (7 - 18) + -3) - 25?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23\/8 - -11\/8. Let n be (2\/(-4))\/(2\/12). Which is the nearest to -2\/7? (a) s (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/9 (b) -2 (c) 16 (d) 54 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h - 1102 = -602 - 593. Which is the closest to -1? (a) h (b) 2 (c) -2\/87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/20)\/(162\/270)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 4, 3, -3, 1, 173?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from {d: 2, f: 1, i: 1, v: 2, t: 1, m: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -734 in descending order.\nAnswer: 4, 2, -734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10641 = 525*m + 8784 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - c + 36 = 5*u, 257*u + 30 = -12*c + 255*u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3363)\/(-36993))\/(((-1)\/22)\/((-4)\/8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 155467129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 6:46 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184206628.\nAnswer: 2, 17, 101, 26821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14647 (base 9) to base 5\nAnswer: -310011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1659 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 94, -2, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1374225 divided by -1825\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -159400628 - -159400628.0420007508. Let j = -0.042 + v. Round j to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26816981 at least as big as -26816980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 25*d = 13*d - 14848. Calculate the highest common divisor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, -1, -2, 0, -7, 28.\nAnswer: -109, -7, -2, -1, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -46*-3\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 4. Suppose 53 = 3*q - h. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 98 + 22. Let y be -7*(0 + -3)*1. Let g = y - 11. Calculate the highest common divisor of g and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879717 is divided by 578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = h + w - 9, -2*h + 8 = 5*w. Let x be -9 + 8 - (0 - h). What is the tens digit of (1\/x)\/(0 + 3\/(-270))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424620709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.05 (b) 24 (c) -11 (d) -0.4 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2\/93, -5, -2, 18\/49, -4 in descending order.\nAnswer: 18\/49, -2\/93, -1\/3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13258, -1, -3 in descending order.\nAnswer: 13258, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 149267 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*(sqrt(175) + -1 - sqrt(175)) - (sqrt(175) + 2 + -4))**2.\nAnswer: 10*sqrt(7) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12084607, -12084577, -12084521, -12084427, -12084283?\nAnswer: -12084077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + -84?\nAnswer: -8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982157 is divided by 196426.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5158560 and 1406880.\nAnswer: 15475680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -351305 + 1543?\nAnswer: -345322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**5\/4 - 25*h**4\/4 - 165*h**3\/4 - 355*h**2\/4 - 155*h\/2 - 24 = 0.\nAnswer: -16, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 0*z = -4*z - 70 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 l, and 1 h when three letters picked without replacement from jujjlrrdurhruju?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14694 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -350 divided by -5.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 5*n + 43, 1529*v - 34 = 1534*v + 2*n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -691 + 695. Which is the biggest value? (a) t (b) 12\/13 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**5\/80 - 2*p**3 + 5*p**2 + 25. Find n, given that m(n) = 0.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 9*h - 3*h + (-h + 5*h - 2*h)*(-3 + 4 + 1) in the form v + a*h and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 1*sqrt(117)*-5 + sqrt(117) - 4*(sqrt(117) + (sqrt(117) - (sqrt(117) - (sqrt(117) + sqrt(117) + 2)))))**2.\nAnswer: 720*sqrt(13) + 26389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8983, -8986, -8989, -8992?\nAnswer: -8995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 45 = -3*j, 5*j - 5*c - 33 - 52 = 0. What is the remainder when 81 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1742\/7 in -2\/7, 1, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 427.5 - 428.5. Let d = -5 - -1. Let f = -0.8 + 1. Which is the nearest to f? (a) d (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 177*w**2 - 439 wrt w.\nAnswer: 354*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*z**2 + 9*z**2 + 305*z**3 + 14*z**2.\nAnswer: 305*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Suppose -4*d + 78 = 3*o, 4*o + h = -d + 13. Suppose -2*v = -5*v + d. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 29. Suppose -4*b + 0*h = 4*h - 16, 0 = 4*b + h - 28. What is the lowest common multiple of (9\/n)\/(2\/(-90)) and b?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 + (-4 - -1) + 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (24\/260)\/(1245\/(-14525))\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2*v + 3*v = 56, k - 44*v + 35 = -41*v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9637185 by -5.\nAnswer: 1927437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352 - 47*b + 352 + 14*b.\nAnswer: -33*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*t - 9 = 2*t, -2*z - 9 = 5*t. Let a(w) = 5. Let v(k) = 2*k + 3. Let g(x) = 4*a(x) + v(x). Let r be g(-9). Solve -10 = -z*y + r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8672730637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/7)*s)**16*s**(-1)\/(s*s**(-3\/7)*s) assuming s is positive.\nAnswer: s**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 180.95 + -182.95. Which is the closest to f? (a) -4 (b) 2\/9 (c) -0.8 (d) -2.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o - 7. Let q be h(-7). Let p(c) = -3*c + c + q*c. Let d(t) = -4*t. Calculate d(p(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = y - 5*j, 7*y - 6*y = 2*j + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 16526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 4*k + 2, -17*w + k = -12*w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45811*m - 44928 = -46675*m for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1283602*b**2*v - 102762*b - 49*v wrt b?\nAnswer: 2567204*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 396 = -d, -s - s = -8. Calculate the remainder when d is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 159*l**3 + 6*l**2 - l - 1. What is the hundreds digit of n(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 5, -15, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -1. Suppose 0 = -3*g - 9*g - 2*g. What is the second smallest value in g, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(-435)*-21*15\/(-9)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o - 3. Let g(y) = -y**3 - 18*y**2 - 1. Let h be g(-18). Let r be 6*h*(-2)\/(-3). Let p(t) = 3*t + 4. Give r*z(w) - 3*p(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 577 = 3*h + 4*p, -8*h + 3*h - 2*p + 971 = 0. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, n: 1, g: 2, m: 1}. Give prob of sequence wng.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 129251 divided by 4?\nAnswer: 129251\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 30414 (base 8) in base 14?\nAnswer: 480c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.7 at most as big as -10\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 3:23 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -335*l**3 - 385*l**2?\nAnswer: -2010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*l = -60. Suppose 38*r - l = 35*r. Factor -10*u**4 - 4*u**3 - 3*u**5 + 16*u**4 + 2*u**r - 2*u**3 + u**5.\nAnswer: -2*u**2*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 766, -4702, -3 in decreasing order.\nAnswer: 766, -3, -4702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3*f + 314 = 332, -5*v + 3*f - 45 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**3 + 3*k**3 + 3 + 2 - 5.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(11) + 1)*1 + (2*sqrt(88))\/sqrt(8))**2.\nAnswer: 8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2805 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87.9 + 89.9. Sort 0.12, -10, k in descending order.\nAnswer: k, 0.12, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1 - -3) + (37 - 39)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/20 of a week?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 10) to base 5.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, 59, 194, 439, 824, 1379, 2134, 3119?\n\"Answer: 5*m**3 + 10*m**2 - 10*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 891044?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -185.7 (b) 0.5 (c) -0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 189, 245, 299, 351?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 8:11 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5)*z)**(-3\/10)*((z*z\/(z**(-1)*z)*z)\/z)**(-18))\/((z**8\/z*z)\/z*z*z\/z**(1\/6)*z*(z\/z**(-1))**(13\/4)) assuming z is positive.\nAnswer: z**(-7913\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 204585007?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 = k + 5*z, 0*z - 381 = -k - 3*z. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -21*d - 1463. Determine b(-88).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.62 smaller than -5612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-90)\/438)*(-960)\/640.\nAnswer: -73\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 83*h**4 + 17*h**3 + 14*h**2 - 214. Let i(b) = 29*b**4 + 6*b**3 + 5*b**2 - 71. Let l(p) = 6*g(p) - 17*i(p). What is the derivative of l(u) wrt u?\nAnswer: 20*u**3 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**7\/280 - i**5\/120 - i**3\/3 + 3*i. Let a(y) be the second derivative of b(y). Find the second derivative of a(t) wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 1453*r**4\/2 - 2861*r**2 - 912*r. What is the first derivative of o(f) wrt f?\nAnswer: 17436*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/440 and -37\/380.\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-5)*(-8030)\/(-2409)*(-30)\/4?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4996979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/7)\/((35\/(-28))\/((-161)\/(-184)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) 3\/5 (c) -37 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 274596?\nAnswer: 823788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/1906276 and 47\/344.\nAnswer: 3812552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 10*d**2 + 3*d - 1. Let t be q(2). Is 11 a factor of t + ((-6)\/(-2) - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1613*x**2 + 215*x + 70. Does 45 divide d(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0043263 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_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: What comes next: 141, 243, 273, 195, -27, -429, -1047, -1917?\nAnswer: -3075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 10\/17, 0.8, 0.1144?\nAnswer: 0.1144","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3))**(-27\/5)\/((n*n\/(n**(-3\/7)*n))\/n*n\/(n*n**(-3)))*(n**0*n)**(-6\/29)\/(n**(-6)*n\/(n*n*n\/n**(-1))) assuming n is positive.\nAnswer: n**(1791\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, t: 1, d: 6, r: 1, a: 5}. Give prob of sequence dddj.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 144510741 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27254 by -8.\nAnswer: 13627\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13833 and 45703278.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 1\/4*v**4 + 6 - 25\/2*v**2 - 23*v + 10\/3*v**3. List the prime factors of d(-11).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -189.1, 2\/7, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-50))\/(-7 + (-264)\/(-40)). Does r = 0.094?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-1)\/(3\/(-7)). Let q = t - 4. Let f be -2 + 0 - 8\/(-2). Do f and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v*v**14*v)))\/v)**20)**(-2) assuming v is positive.\nAnswer: v**(-600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -29*b**3 - b**2. Let m be p(1). Calculate the remainder when ((-20)\/(-3))\/((-20)\/m) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 11*u**2 + 24*u - 8. Let r(f) = f - 6. Let d be r(5). Calculate the remainder when k(-13) is divided by (0 + d + 0)*-10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343788827 is divided by 259.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12235 + -7833. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 756, 4, 1\/8, 1\/35?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -4, -2, 25.4, 7.\nAnswer: -4, -3, -2, 2, 7, 25.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 9. Let l(y) = y**2 + 6*y + 7. Let b be l(c). Suppose -4*g + b = 6. What is the smallest value in -0.5, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Let g(j) = j**3 + j**2. Let b be g(r). Suppose 5*s - 5*h - 7500005 = 0, -h + 3390015 = b*s + 390016. Round s to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 309628 and 484.\nAnswer: 3405908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1481469160.\nAnswer: 2, 5, 67, 552787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 87, 208, 419, 726, 1135, 1652, 2283?\n\"Answer: b**3 + 39*b**2 - 3*b + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 2:04 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7409 - -44561\/6. Let k(g) = -6*g - 35. Let y be k(-3). Find the common denominator of m and y + 17 - 2*(-62)\/(-28).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.13 * -2.\nAnswer: -20.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + 319*s**2 + 2290*s + 1475. Calculate y(-152).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 5, 6, 1, -2, -1 in increasing order.\nAnswer: -2, -1, 1, 5, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 184.7 + -183.146. Let p = c - 0.034. What is p rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 28. Let a be p(-8). Suppose -15*g = -a*g. Let i(b) = -7*b**2 + 5*b - 10. Let u(l) = l**2 - l. Let r(m) = -i(m) - 6*u(m). Determine r(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 130\/6729?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -98 - -3b391?\nAnswer: 3b2c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -21.9. Sort 0.1, g, 1 in increasing order.\nAnswer: 0.1, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(9\/((-54)\/8)*3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0678693 + -0.0677. What is v rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 154, 151, 146?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 0)*5\/3. Suppose -4*n + 2*d = c*d - 8, -4*n = 4*d - 8. Let o(z) = z - n*z + 2*z. Let j(v) = 3*v. What is j(o(l))?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337 = -6*y + 3*y + z, 0 = -y + 5*z + 117. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -15 (c) -3\/6251 (d) 3\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5081551951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2))**(1\/3))**(-14\/9))**29 assuming r is positive.\nAnswer: r**(812\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17086 divided by 26?\nAnswer: -8543\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1029?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**4 - i**3 - i**2 + i + 1. Let s(y) = -17*y**4 - 6*y**3 - 6*y**2 + 6*y + 9. Let m(j) = -6*q(j) + s(j). Find the first derivative of m(k) wrt k.\nAnswer: -44*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 132057747?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65\/6 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*y + 181 - 65 = 0. Let m be 5 - 2 - (-1 + 4 + -5). Sort -1, y, m in increasing order.\nAnswer: -1, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -379742 not equal to 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157008.\nAnswer: 2, 3, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 117668 - 83879. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 920257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0 - 3\/8*b**4 - 5\/6*b**3 + 68*b - 2*b**2 - 1\/60*b**5. Let x(v) = v**3 - 9*v**2 + 7*v + 2. Let n be x(8). Calculate g(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0125891965 rounded to 4 decimal places?\nAnswer: 0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -2)*3\/(-12). Solve 2*r + 14 = 4*q, -4*r - 3*q = s - 28 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 6:00 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.1 + 80.1. Let i = 72.66 - f. Round i to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223799923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbyg. Give prob of picking 1 g and 1 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, e: 1, v: 5, o: 4, b: 1, x: 3}. Give prob of sequence xbex.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2. Let g = 7\/626 + 146\/939. Which is the nearest to x? (a) 3\/4 (b) 0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59\/12 + 21\/4. Let a = 3421\/5127 + -1\/1709. Factor -1\/3*y**4 + m*y**3 - 1\/3*y + y**2 - a.\nAnswer: -(y - 2)*(y - 1)*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 4 = 4*f + 22*u + 35, -6*f + 2*u = 30 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7))**2\/(v\/v**(-2\/7))**(40\/3) assuming v is positive.\nAnswer: v**(-116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27798 + 27802. Solve -j + y*j = 24 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 50 = -h. Suppose 8*s + h*s = 720. What is the smallest common multiple of (-14)\/(-1) + (-2)\/(-1) and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwm when three letters picked without replacement from {h: 1, d: 1, w: 2, m: 8, y: 2}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -200*j + 184*j. Suppose 1 = -4*u - 11, 3*z - 36 = 5*u. Sort j, z, 6, 3 in decreasing order.\nAnswer: z, 6, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58689, -58744, -58859, -59058, -59365, -59804?\nAnswer: -60399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10241375567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6651\/5 - -1330. Which is the closest to l? (a) 0 (b) 26 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a factor of 2520970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b = -f + 8, 0 = -f - 4*b + 23. Calculate the lowest common multiple of 5 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -10*w**2 - w - 1. Let m = -22 - -24. Suppose -m*l + 5 = -7*l. Determine i(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 34*m**2 - 42*m + 93. Is i(-36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22595 + 18983 = -84*f for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1025, 2100, 3175, 4250, 5325, 6400?\nAnswer: 7475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 14 + 1 = 0. Let l be -3 - ((-1)\/j)\/(12\/180). Suppose 5*s = -l*s + 273. What is the remainder when 76 is divided by s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(180) - -3*(sqrt(180) - sqrt(180)*-1)) + sqrt(180))\/(-6*-2*sqrt(9)))**2*6.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 961875 is divided by 172?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -8\/8789 (c) -1.5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -24, 0.3, 1\/5, -2\/11, -7 in ascending order.\nAnswer: -24, -7, -4\/9, -2\/11, 1\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 70. Suppose 55*u - 224 = q*u. Which is greater: -1\/4 or u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**48*(p*p**0\/p)**21)\/((((p\/(p**(2\/13)\/p))\/p)\/(p**(-5)*p))\/(p\/(p*p\/p**0)*p)**(-1\/20)) assuming p is positive.\nAnswer: p**(561\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - (sqrt(4896)*2 + sqrt(4896)))\/sqrt(2) + ((sqrt(68) - (sqrt(68) - (1*sqrt(68) - sqrt(68))))*4)\/sqrt(4))**2.\nAnswer: 20825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-35)\/4)\/((-5)\/880). Let m = -995 + o. List the prime factors of m.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -500, -939, -1410, -1913?\n\"Answer: -16*w**2 - 391*w - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.3 + -3.074. Let d = q - 0.726. Put d, -0.2, 0.3, 7\/2 in increasing order.\nAnswer: d, -0.2, 0.3, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 + -251\/4. Let x = 0.2 - -7.8. Let n = x - 13. Which is the second smallest value? (a) 5 (b) w (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001838220449 to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0636*4.\nAnswer: 0.2544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3186?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llii when four letters picked without replacement from {l: 3, i: 13}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10295 = 5*f, 4*f - 9793 = 2*r - 1587. Suppose -2045 = 3*k - f. Find w, given that -9*w**k - 1\/2 - 19\/4*w**2 + 15\/4*w = 0.\nAnswer: -1, 2\/9, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 + 12*u + 7. What are the prime factors of f(-6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2*k - 3)*(1 - 1 - 1) - k - 2*k + 4*k)*(2 + 0 - 5) + 1 + k - 1.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbgce. Give prob of sequence cbb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*g = 254*g - 235*g + 2838 - 18110 for g.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4136445 and 27.\nAnswer: 12409335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*z - 2 = 3*p, 0 = -2*p + 2*z. Solve p = -4*m - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 (base 14) in base 3?\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 + w**2 - 7*w + 4. Let j be d(2). What is the smallest common multiple of (1 + 2)*(j - (-96)\/(-36)) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0286 + 0.028599704. Round f to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53501035 (base 6) to base 16\nAnswer: -18170f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(-1\/12)\/s))\/s)\/s*s*s\/s**(7\/4))\/(s**(1\/2))**(-1\/42) assuming s is positive.\nAnswer: s**(29\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6\/269 + 640\/4573. Let 0 + l*a**2 - 6\/17*a = 0. Calculate a.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*r = 44, 2*n - 517*r + 69 + 11 = -453*r for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -21549*(-9 - 104\/(-12)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23404967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -13. What are the prime factors of 368\/q + 6\/(-27)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 658 = 3*o, 628 = 3*o - 6*g + 2*g. Let l = 308 - o. Does 23 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 193 and 4439.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 6*d**2 - 2*d + 5. Let c be o(-3). Let h = c + -29. Is h\/21 - 7\/((-147)\/114126) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2278.\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 + 25*i**2 - 8*i + 50. Calculate n(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (1 - 11)) + (2 - 2 - -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(18) - sqrt(36)\/(sqrt(2) - (sqrt(2) - sqrt(32)))))*5.\nAnswer: 45*sqrt(2)\/4 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16\/31, 1\/5, -86\/5, -2\/13, 0.83?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + -35471?\nAnswer: -35480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 47 and -0.27.\nAnswer: 46.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3371401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3763171 - -4?\nAnswer: -3763166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 292\/(-219)*6\/4. List the prime factors of (13\/((-26)\/1884))\/(-4 - m).\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22464*-9461\nAnswer: 212531904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18.1 and 8189.\nAnswer: -148220.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*k - 7370 + 7538 = 0 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 6*z + 16. Calculate the remainder when 17 is divided by r(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 3 (c) 6 (d) -6 (e) -0.1015\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 16 = -5*z. Let c be z + (-3 - (-20)\/12). Factor -c*p**3 - 1\/6*p**2 + 0*p - 1\/2*p**4 + 0.\nAnswer: -p**2*(p + 1)*(3*p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001010101001010 (base 2) in base 11?\nAnswer: -150479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-96)*4*(-4)\/(-2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2659, 2629, 2609, 2605, 2623?\n\"Answer: g**3 - g**2 - 34*g + 2693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j\/j**(-29))\/(j**(-15)\/j))\/(j*j\/(j**14*j)*j*j**(-31)) assuming j is positive.\nAnswer: j**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 12876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-246)\/(-205)*512\/(-48)*(-10)\/(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2.1. What is the nearest to w in 0.1, -2\/17, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 10*t**2 + 8*t - 3. Let c be f(-9). List the prime factors of (-73)\/(-3)*2\/(c\/9).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-2))\/(18\/21*(-28)\/(-16)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 86\/4*-2 - 0. What is the units digit of 0 - s - (19 - 17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/7)\/w**(-14) assuming w is positive.\nAnswer: w**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.44 + 0.24. Let s = 1.3 + -0.3. What is the closest to s in 1\/2, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 4 + -4)\/1. Let x = 1 + 3. Suppose -16 = -x*c - z. Solve 3*h = c*h + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*-1 + ((-1)\/1 - -5). Which is the closest to 0.1? (a) -2 (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 414, 409, 406, 405, 406, 409?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Suppose -l*h + 4 = h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 19 + 3*l - 1 - 4. Is d(14) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.10532\nAnswer: 0.21064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3 = 3*l - 15, -x + 4*l = -9. Let j(b) = 3*b**2 - 22*b + 5. Let c be j(x). What is the greatest common factor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3328953 + 6591322741\/1980. Let g be (-122)\/(-66)*(-1)\/10. Let i = w + g. Calculate the common denominator of i and -13\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - j = 110037, 53*v - 5*j + 27504 = 54*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 6*g + 43. Let z be b(10). What is the greatest common divisor of z and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from {g: 2, b: 2, o: 2, y: 1, e: 1, c: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4 + 12*j + 4*j + 3. What are the prime factors of z(1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463260 (base 7) in base 9?\nAnswer: 135523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 2. Let c(a) = -a + 1. Let l(r) = 5*c(r) - 3*w(r). Let d(m) = -m**3 + 30*m**2 - 191*m + 8. Let j be d(9). Let t(v) = -v. What is j*t(y) + 4*l(y)?\nAnswer: 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 + 19*o**2 - o**3 - 19*o**2.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*z + 22112 = 18762 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2*a + 15 = -2*r, 5*r + 4*a - 15 = 0. Let t = 60 + -35. Let q be (r - t\/10)*-1. Which is smaller: q or 1\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*o = -14, -v - 4*o - 4 = 18. Let f be ((-4)\/(-8)*0)\/v. Put -1, f, 1 in ascending order.\nAnswer: -1, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/14)\/(1\/(-4)). Suppose 0 = -5*d - t + 1. What is the remainder when 6*(d - -2)*9 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4 - ((-221)\/(-26) + -5). Let w be (-1)\/((9\/j)\/15). Solve w*l = -2*n + 3*l - 18, -4*n - l = 21 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2838 and 159057?\nAnswer: 3499254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76.9 - -77. Let z = -0.13 - -0.1. Let w = -5.03 - z. Which is the second biggest value? (a) g (b) w (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 106. Give o(-53).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -3672?\nAnswer: -3671.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17\/14 - 3\/2. Let l = 500 + -619. Which is smaller: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 4, m: 3, k: 3, d: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 12 + 94 - (19 - (-3 + 6))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 290 = -5*j, a + j - 10 = 44. Is a a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5211.708 centuries to millennia.\nAnswer: 521.1708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 1 + 1)*(-y - 6*y + 4*y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-12)*(-18)\/4. Let g be (1 - -11)\/2 - l. Suppose -s - g = -4. Which is bigger: 4 or s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2927.100965 + -2927.2. Let c = t + 0.1002. What is c rounded to five dps?\nAnswer: 0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*s + 18 = 0, 2*s - 1 + 31 = 5*a. Let k(m) = -1 - 10 + 2 + 4*m. What is the units digit of k(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068801 rounded to four decimal places?\nAnswer: 0.0688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 6*r**2 + 7*r - 9. Let a be i(-4). Let w be (-4 + 0)*(-12 - -11). Sort a, -2, w.\nAnswer: a, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**7\/30 + 7*v**5\/60 + 8*v**2. Find the third derivative of g(d) wrt d.\nAnswer: 168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 638*y - 497.\nAnswer: 638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 721363*z**3 - 1475044 wrt z?\nAnswer: 2164089*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 4:34 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0 - 8*i**2 + 7\/6*i**3 + 0*i - 1\/60*i**5 + 1\/8*i**4. Let l = 1083 + -1078. Give c(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*g + 2 - 40*g + 111*g - 41*g in the form i*g + v and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*m + 21105 - 15*m - 21104)*(2*m**3 - 6*m**3 + 2*m**3).\nAnswer: -64*m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*n**5*p + 33*n**4*p + 252*n**2*p - n*p + 2 wrt n?\nAnswer: -540*n**2*p + 792*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k + 28. Let m be y(-12). Which is bigger: m or 111?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.44 - 0.04. Let o = -2 - 1. Let z(q) = q - 6. Let h be z(6). Which is the smallest value? (a) l (b) h (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 - 16*j - 9. Let z(k) = -k**2 + 3*k + 2. Let l(n) = -2*m(n) - 11*z(n). Let y be 17\/3 + (-2)\/3. Is 11 a factor of l(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/24)\/(380\/(-228))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12085205, 96681773, 326301029, 773454317, 1510652981, 2610408365?\nAnswer: 4145231813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 0*a + 8*a - 1950*a**3 + 1049*a**3 - 8*a.\nAnswer: -901*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1963 + -882. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 7*k**2 - k - 3. Let s be (-106)\/(-4) + (-16)\/32. Suppose -s*z + 133 = -7*z. What is g(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.019, -0.5, -80, -4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 185?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-55))\/(1784\/(-24530))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26125 and 1000.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a**3 - 7*a. Let y(x) = 3*x**3 - 3*x. Calculate 4*r(o) - 7*y(o).\nAnswer: 3*o**3 - 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (18 - 4) - (-8 + -5 - -20)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 183842 - -754?\nAnswer: 184396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -195.947 + -0.053. Let b = 194.29 + f. What is b rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 7:53 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*q = -65, v = 2*q + q + 13. Calculate the highest common divisor of v and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 0*d**2 + 204*d**3.\nAnswer: 204*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 303*h - 360*h + 114 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 4*n + 2*n + 0*n + 0*n + n + (2 + n - 2)*(-2 - 1 + 1))*(18*n**3 + 101*n**2 - 101*n**2).\nAnswer: 144*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 10*p + 9. Let l be s(-9). Suppose 0 = -6143*h + 6086*h + 171. Solve m + 14 = -5*n, -4*m - 5 = h*n - l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -129\/90706 and -9\/323.\nAnswer: 1542002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2\/13, -0.4, 0.37?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-6)*4*2\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -29. Suppose -4*t + h = 2*k + 3, 0 = -3*t + 3*k + 18. Suppose t*y + 0*y = 8. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3347 - -3347. Let o(a) be the first derivative of 0*a**3 + 11 + 0*a**2 - 12\/5*a**5 + 7*a + w*a**4. What is the derivative of o(f) wrt f?\nAnswer: -48*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -102697, -102884, -103073, -103264, -103457, -103652, -103849?\n\"Answer: -s**2 - 184*s - 102512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 35. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405788 is divided by 179.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -31*a + 66. What is the remainder when h(-4) is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.83 - 0.17. Let z = 18 + -28. Let a = u - z. Which is greater: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 7 = -17. Let w = x - 0. Suppose -4*c = c - w. Solve -c*s - 7*z = -4*z, -3*z = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 396 + -384. Suppose 3*u - 416 = -20. Calculate the greatest common divisor of u and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 691169 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13519 + 25392. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -21 + 7 + 9 - 3*g. Let p be r(-7). Let s be (-8)\/p*2*-1. Is s at most -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -16*g + 3*s, -2*s = 44953*g - 44950*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -25*n**2 + 3*n - 3. Let y(m) = -73*m**2 - m + 1. Let h(p) = -145*p**2 - 5*p + 5. Let s(o) = 3*h(o) - 7*y(o). Give -3*s(f) - 8*v(f).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 7*d**2 + 10*d - 1. Let j be 6\/(-12)*(0 - 0). Suppose j = -3*a + 5 + 19. Is r(a) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(3531\/(-642)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(3024)*-5*6)\/(((-2*sqrt(175))\/sqrt(5))\/(sqrt(15)\/(-1*sqrt(3)) - sqrt(5))).\nAnswer: -3600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1036 and -97\/91996.\nAnswer: 23826964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6875 = 69*f - 14*f. What is the greatest common divisor of f and 3025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.42 + 2.42. Let j = w + 11.5. Sort j, -4, -2\/19, 4 in ascending order.\nAnswer: -4, j, -2\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 12:12 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 1769.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2))**(-14\/9)\/(m**1\/(m**(-2)*m)))\/(m**(-1)*m*(m*m**(4\/5)\/m*m*m)\/m*((m*m**(-1))\/m*m)\/m*m*m**2) assuming m is positive.\nAnswer: m**(-121\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*l + 141*l + 1440 = 0. Which is smaller: 22 or l?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 1540.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6860926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -485 - -673. Let s = u + -189. Which is smaller: -4\/41 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000422692 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001001100011000100 (base 2) to base 15.\nAnswer: 5e3d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 0.0445422333955?\nAnswer: -0.3445422333955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*m - 36, m + 376*n - 381*n + 9 = 0. Suppose 3*r = 4*u - 2*r - 30, -2*r + 11 = 3*u. Sort 4, -3, u, m in increasing order.\nAnswer: -3, 4, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145529 = -4*k - 2*u - 4155, 2*k - 70681 = 5*u. Is k a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 2*o + 5*j - 11, 0 = o - 5*j - 22. Let z(t) be the second derivative of -t**5\/20 - t**4\/12 - t**3\/6 - t**2\/2 + t. Does 12 divide z(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(15*m**4 - 2*m**2 - 3*m**4 + 2*m**4).\nAnswer: -14*m**4 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 808389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + t - 13 = -2*t, 4 = -2*t. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/6)\/((-10)\/495). Suppose x - 15 = 3*c, c - 75 = -5*x + 3*c. What is the greatest common divisor of a and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -376*q**2 - 6012*q - 39. What is u(-16)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (805\/135 + -6)*-30*-36?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -832 divided by 13?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 36*u**3 + u + 1. Let z be 2*-2*2\/8. Let h be v(z). What is the units digit of h\/(-2) - -1*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6776267489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5301, 10577, 15863, 21165, 26489, 31841?\n\"Answer: j**3 - j**2 + 5272*j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhchhchh. What is prob of picking 2 c and 2 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 780 (b) 0.6 (c) 7285\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39931 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 b when two letters picked without replacement from whuwhbhzzbtttt.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 13*t + 4. Let y(d) = -d**2 + 12*d + 3. Let o(r) = 2*b(r) - 3*y(r). Let x = -991 + 1002. Determine o(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -560*c**3 - 8*c**2 + 22*c - 14. Let w(r) = 187*r**3 + 3*r**2 - 8*r + 5. Give -4*v(q) - 11*w(q).\nAnswer: 183*q**3 - q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.2 or -21.3?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -3*s**5\/2 - s**3\/3 + 1515*s**2\/2 + 64*s. What is the first derivative of y(w) wrt w?\nAnswer: -90*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161229720.\nAnswer: 2, 3, 5, 37, 36313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -388, 0, 84 in decreasing order.\nAnswer: 84, 0, -2, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 20, -2\/15, -40?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/22, 2\/7, 0.3, 1, -63?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 - p**2 + 2*p + 1. Let l(s) = 10*s**3 + s**2 + 5*s + 15. Let t(m) = 6*d(m) - l(m). Is t(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 0*f**5 + 2*f + 0*f**2 + 0 + 0*f**4 + 0*f**6 - 1\/21*f**7 + 1\/3*f**3. What is the second derivative of v(t) wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1487*o**4 - 12*o**2 - 6*o + 19595662 with respect to o.\nAnswer: -5948*o**3 - 24*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -842515, -1685027, -2527539, -3370051?\n\"Answer: -842512*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 17*y - 219. Solve 0*x = y*x - 115 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 8*r + 5. Let c be (-22)\/5 + (-3)\/5. Calculate the remainder when n(c) is divided by 74\/12 - (-3)\/(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -42*c - 693. What is n(-16)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 34*z**2 - 10*z - 17. Let r(f) = -136*f**2 + 43*f + 72. Calculate -9*c(q) - 2*r(q).\nAnswer: -34*q**2 + 4*q + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -14*d + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6408 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7007\/15 + 1959\/5. Let n = h - -75. What is the second biggest value in n, 0.1, -90\/13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 9*i + 5*i = -5*i + 373, -3*c = i + 285 for c.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from mdnenvndnnendn?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -35880, -33879, -31878, -29877, -27876?\n\"Answer: 2001*u - 37881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 2, q: 7}. What is prob of picking 2 q?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 73449445, 73449448, 73449451?\n\"Answer: 3*q + 73449442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 11) in base 2?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.1. Let w = 8.9 - 8. Let q = -1.1 + w. Which is the closest to i? (a) 3 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1346740*a**3 - 2 - 409841*a**3 + 2.\nAnswer: 936899*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 0.11 (c) 1\/4 (d) 40 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55200 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 804 (base 11) in base 3?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/70 and -103\/14169022.\nAnswer: 70845110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 67348 or 67352?\nAnswer: 67352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b + 498097b?\nAnswer: 498099a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((378\/49)\/(-6))\/3. Let i = 115\/4 + -28. Which is the nearest to i? (a) f (b) -2\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-16) - (-5)\/(-6). Let u = -0.9 + 1. Let v = -1.211 + 0.211. What is the closest to u in -4\/9, v, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9395873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 23*p - 6*p)*(p**2 + 4 - 4).\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9177 is divided by 4578.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 259221953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 185 = 41*u. Suppose u*n + 13 = 18, 0 = 4*s - 2*n - 3350. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.5, -5, -2\/21 in ascending order.\nAnswer: -5, -0.5, -2\/21, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1687196 is divided by 2889.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59)\/(-7375) - 2505\/625?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1342 + -2?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -1. Suppose 0 = 5*i + 2*p + 9, -2*i + 0*i - 5*p = 12. Let f be ((-6)\/9)\/(i\/(-3)). Let j be (-2)\/4*f\/(-1). Let g(l) = l - 1. What is j*g(w) + c(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 32*y + 25. Determine k(-31).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76 - -81. Let v = 1.9 + -2. Let b be (88\/(-20) - -2) + 2. What is the closest to v in b, r, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 1021*v**4\/12 - 395*v**3\/2 - 415*v + 2. Find the second derivative of l(a) wrt a.\nAnswer: 2042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28524762 to the nearest integer?\nAnswer: 5341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 1 = -1. Suppose -5*q = o, 9*t - 13*t - q + 416 = 0. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 - (2 - (-71 - -11))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d = -6. What is the units digit of (d\/(4\/14))\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 9*n + 1. Let k be r(9). What is the tens digit of 47 + (-2)\/(-1 - k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and (-136)\/(-24) + (-1)\/(-3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6344068 rounded to the nearest 1000?\nAnswer: 6344000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 16. Let r = -2 + a. Suppose u + 15 = 3*m + 51, -4*m - 108 = -3*u. Calculate the highest common divisor of r and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 61?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -181.5 rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 + -2 + -1*1\/1. Let t be 21\/111*144\/p + 2. Which is greater: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**2 + 5*y**2 + 5*y**2 + 3*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(99) + sqrt(99) + (sqrt(99) - sqrt(99)*-2*1) + sqrt(99) + sqrt(99))\/(sqrt(81) + sqrt(81)*-2).\nAnswer: 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -13.95. Let j = 0.15 - i. Which is the second biggest value? (a) j (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (0 - -9 - (-65 - -79)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44299809 - 44299809 - 77*k**2.\nAnswer: -77*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18312985 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 343 + 281. Let w = 1043\/5 - z. What is the nearest to 1 in 0.4, -1\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -209, -425, -727?\nAnswer: -1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1469 and -1405.528414.\nAnswer: 63.471586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 4. Let u be n(7). Let s(t) = -t - 4. Let o be s(-5). Sort -2, o, u in increasing order.\nAnswer: u, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 84\/11, -2, 1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/10)\/(2\/40). Suppose 4*c + 0*c = v. Solve -2*x = -8 + c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 7*d**2 - 8*d + 7. Let b be a(6). Suppose 2*c = 12*c - 120. Suppose -4*o + 5*t = -o + 4, 0 = -5*o - t + c. Is b <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1861*h = 1841*h - 7540. Which is the second smallest value? (a) h (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 337 (b) 1\/8 (c) -0.1 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 5*h - 71, 205*r = 207*r + h - 39. Solve -1 = r*z + 18 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2460061.937 to the nearest one hundred.\nAnswer: -2460100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 192709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 299410, 598824, 898238, 1197652, 1497066?\n\"Answer: 299414*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = i. Let g(z) be the first derivative of 2*z**3\/3 + z**2 - z - 6. Let x be g(-2). Put 0, x, i in increasing order.\nAnswer: i, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-51))\/(18815\/6035)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5818125 to three decimal places.\nAnswer: 1.582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 18652*d**2 - 18651*d**2 + 1 - 1. Let v(t) = -6*t**2 - 5*t + 3. Give 4*c(i) + v(i).\nAnswer: -2*i**2 - i + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Convert 11000001000101 (base 2) to base 8.\nAnswer: 30105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 20*b - 57. Let x be h(23). Let u be (-2)\/(x\/8 - (-1921)\/(-1280)). Let t = u + -1773. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69*t**2 + t - 187?\nAnswer: -138*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*c + 19*c - 14*c)*(0 - 3 + 1) + 2*c - 1 - 1 + 0*c.\nAnswer: -56*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and -6112.\nAnswer: -6100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2789 - -25177\/9. Let j be 96\/40*((-91)\/2 - 0). Let m = j - -112. Find the common denominator of u and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6202 - 37213\/6. Which is the closest to 46? (a) -3\/5 (b) y (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 5*d**2 + 2*d - 1. Let a be w(5). Solve -3*m + 0 = a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - -1*sqrt(120)\/sqrt(2)) + sqrt(60) - sqrt(960)*-2)\/(-6*sqrt(1200)*-1 - sqrt(1200)).\nAnswer: 11*sqrt(5)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**3\/5 + 25216*n**2 - 1386658*n\/5 + 252116 = 0?\nAnswer: 1, 10, 63029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 + 310841*b + 16786386.\nAnswer: -(b - 932577)*(b + 54)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-8)\/54 - 2650\/(-9). Let v = w - 184. What are the prime factors of v?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 282086850?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -501 divided by 26\nAnswer: -501\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224087 is divided by 224069.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*s + 400*s - 8694 = 0 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*s + 55, -5*u + 59 = -s + 4*s. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 27*c**2 + 42*c - 132. Let h(u) = -2*u**2 - 1. Let b(a) = -d(a) - 15*h(a). Let b(k) = 0. Calculate k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(sqrt(1872) + 0 + sqrt(1872) + 4))**2 + -3.\nAnswer: 62208*sqrt(13) + 2431293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4108273 (base 9) to base 16.\nAnswer: -216e19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**3 - 3*r**2 - 11*r + 9. Let a(f) = 14*f**3 - 8*f**2 - 33*f + 26. Let p(g) = 4*a(g) - 11*y(g). Determine p(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3951173623 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 1 - -32) + (39 - (89 - 39))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.147 and -9.\nAnswer: 1.323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 2\/11, 10.55, 4, -3\/5, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a decade in years?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 42114, 42176, 42238, 42300, 42362, 42424?\n\"Answer: 62*j + 42052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 d when four letters picked without replacement from ddmqddmy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6\/11)*f)\/(f*f\/(f**(-1)\/f)*f))\/(f**1)**49 assuming f is positive.\nAnswer: f**(-589\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8249 (base 16) to base 12\nAnswer: -17375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1325*k - 345*k**3 - 4 + 1324*k + 5*k**4 + 125*k**3 in the form j*k**2 + q*k**4 + i*k**3 + m*k + b and give i.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24383296 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 8*w**2 + 2422*w - 7261. What is l(3)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*k = 20200 + 21890. What is the remainder when 727 is divided by k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 5*l**2 + 2*l + 2. Let g(t) = t**2 + 2*t - 13. Let v be g(-4). Give m(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53.945 + 0.055. Let x = -54.00000145 + g. What is x rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 329 - 217 = 0. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/10277 and 9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.282067mg?\nAnswer: 0.000001282067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*m**3 - 14077*m**2 + 16*m**3 - 12730978977 - 494*m**2 - 23590449*m + 6*m**3 + 9*m**3.\nAnswer: -3*(m + 1619)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/7 (b) -0.3 (c) -0.5 (d) 2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 117991, 117860, 117729, 117598, 117467, 117336?\n\"Answer: -131*h + 118122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 86?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c + 1. Let b(l) = 6*l - 3. Let d(n) = n**2 - 16*n - 9. Let y be d(17). Determine y*h(o) + 3*b(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118*l**3*t**2 - 19333*l**3 - l**2*t + l**2 + 2*l*t**2 + 266*l - 94*t wrt l.\nAnswer: -708*t**2 - 115998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 250766?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(34) + sqrt(34))*-2 - sqrt(68)\/sqrt(2)*-5)\/(sqrt(2) - sqrt(98)*-1 - 5*(sqrt(18) + sqrt(2))))**2.\nAnswer: 833\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -22*i + 17. Let d be (-4)\/(((-40)\/12)\/(-5)) + 1. Let j be c(d). Suppose 5*v = 4*s - 0*s - 181, j = 3*s - 2*v. List the prime factors of s.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5790 rounded to the nearest one hundred?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, -37, -55?\n\"Answer: -18*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + r - 5*r + (1 + 2 - 1)*(-1021 + 1021 + 35*r).\nAnswer: 66*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -1\/360*l**6 + 1\/180*l**5 + l**2 + 0*l + 0*l**3 + 0*l**4 + 0. Solve a(y) = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 5:38 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415422?\nAnswer: 2, 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -379094?\nAnswer: 379091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -3 - (4 - (1 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154792920 and 1550.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x. Let p(r) = 3*r**2 - 14*r + 10. Give p(o(j)).\nAnswer: 27*j**2 + 42*j + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -35*t**2 - 1. Let s be u(-1). Find the common denominator of ((-14)\/(-12))\/(6\/(-33)) and 262\/s + 3 + -3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*c - 300*c + 17556 = 205*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivdg when four letters picked without replacement from viggivgivuivggd?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*57\/45*-1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76\/(-6)*(-6)\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41.782748063 - 468.782739593. Let f = 427 + q. What is f rounded to seven dps?\nAnswer: 0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-15))\/(2\/(-258)). Let y = v + -773\/9. What is the common denominator of -20\/9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from {d: 1, i: 2, o: 2, e: 1, q: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q - 5. Calculate v(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -2*d + 4*o, -5*o + 426 = 4*d + 387. What is the nearest to 1 in 7, d, 0.3, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(-2)\/(-4) - 1. Suppose z - 3 = -1. Is z greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 89\/3 + 16\/(-24). Suppose -p = -4*l + 3*j, 1 = -0*l + 2*l + 3*j. Suppose z = -2*m - l, -5*m = -z + 4*z + 11. Put 0, z, 4 in increasing order.\nAnswer: 0, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 33, 2, 3, 5, 28, -3 in descending order.\nAnswer: 33, 28, 5, 3, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + (1 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 418, -14, 0, -1 in decreasing order.\nAnswer: 418, 5, 0, -1, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64788.66 micrograms to milligrams.\nAnswer: 64.78866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Let n be (-3)\/9 + 5\/(-3) - 4. Let g be (0 + n)*(-1 - 0)\/2. Sort g, k, -3.\nAnswer: -3, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.37, 0, -11, -2\/5, -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**5 + 25*v**4 + 110*v**3 + 80*v**2 = 0 for v.\nAnswer: -2, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 110697967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85655612 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 297443195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**6\/3 + 11*x**2\/2 - 11*x. Find the first derivative of a(t) wrt t.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = h - 3, 0 = -5*r + 3*h - h + 27 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19983 + 19992. Suppose y = -12 + 37. Let v = j + y. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147 - 189. Sort 4, 1, z in descending order.\nAnswer: 4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2 + 9*g + 6. Let t be o(2). Suppose -2*w - 1 - 7 = 0. What are the prime factors of 152 + (-2 - (1 + t\/w))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 4. Let p be n(-6). Let b = -22.6 + 23. What is the closest to 1 in 3\/2, p, b?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63 - (107 - 43))\/(((-20)\/565)\/(-4)).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 3 + 5*z**2 - 6*z**2 + 0*z**3 - z**3 + 2*z**3 to the form r*z**2 + k*z + s*z**3 + m and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5174 + -2.5174. Which is the second biggest value? (a) -0.1 (b) 0.3 (c) -37.6 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 4*a**2 + 14*a + 12. Let n be l(-6). Suppose 2*x + 2*c - 2 = n, -7*c + 3*c = 5*x - 2. Which is bigger: -5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -5*p**4\/4 - 855*p**3 - 438615*p**2\/2 - 25001055*p + 868. Suppose c(d) = 0. What is d?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 3802888.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12056808 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -44*h + 99. What is the tens digit of c(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, 1, -1, -3570, 4 in ascending order.\nAnswer: -3570, -1, 1, 4, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 20. Let l = b - -81. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/5 - 84\/(-20). Suppose -14 = 5*o - p*t - 60, o - 8 = 2*t. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 2:19 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.038 take away 289768.409?\nAnswer: -289766.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.098 times -8.4?\nAnswer: 0.8232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -37, -123, -247, -409?\n\"Answer: -19*y**2 - 29*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1421 + 1422.039. Let p = 0.205 - 0.244. Let y = p + c. Which is greater: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206 divided by 1.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -221, -6, 136 in ascending order.\nAnswer: -221, -6, 0, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzoozzz.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 891779824 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*g - 3. Suppose -m - g = 3. Let p = m + 6. Solve 0*z - 3*z + 12 = p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/1160 and 16\/45385?\nAnswer: 363080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f**2. Let o(m) be the second derivative of -m**4\/4 - 8*m. Determine o(c(p)).\nAnswer: -108*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*100\/130*(-27)\/10*2?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1855*q - 1857*q = -3*x - 13, -5*x = -3*q + 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 6*h + 9 = -2*k, 0 = -2*k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - ((-8)\/(-2) + -85). Is (63\/(-28))\/((-2)\/r) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -246, -379, -528, -699?\nAnswer: -898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) -1 (c) 13 (d) -17 (e) -0.37 (f) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**5\/50 - x**4\/15 - x**3\/15 + 3*x. Determine q so that f(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 3)*(i**5 - i**5 + i**5) + 3*i**5 - 4*i**5 - i**5 + 2*i**5 + 3*i**4 - 3*i**4 + 15*i**5 + 43*i**5 + 26*i**5 - i**5 + 1 - 1.\nAnswer: 82*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 265313131 - 5?\nAnswer: 265313123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0768 and -3076.6.\nAnswer: 236.28288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210023578.\nAnswer: 2, 227, 462607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363*j - 4 = -361*j - 2*l, 4*l - 32 = 0. Calculate the remainder when 2849 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -167 and -167 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + 5*(0 + sqrt(72) + 1 + sqrt(72))*6)**2.\nAnswer: 21600*sqrt(2) + 260100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180257782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 3\/(-6)*10. Let r be ((-2)\/6)\/(g\/156). List the prime factors of 30\/195 + (-1597)\/r.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 17*a + 9. Let o = 13 + -2. Let l(w) = -6*w - 3. Let g(z) = o*l(z) + 4*d(z). Differentiate g(k) wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50217925 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + -13. Let j = h - 55. Let t be 11\/j - (-16)\/28. Let u(b) = -9*b + 1. Give u(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -7*c. Suppose c = 5*m - 45 + 10. Let u = -4 + m. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + r - 2, 5*r - 3 = -v - 2. Let a(z) = z**2. What is a(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - -9830267?\nAnswer: 9830283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.81 and 0.045.\nAnswer: 0.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - 7. Which is greater: k or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/(-1) + -9 + 8. Let z = -15 - r. Solve 27 = 4*h + z*b, -3*b + 0*b = h - 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*u*v**3 - 960296*u*v**2 + 3*u*v - 2*v**3 - 1318320*v**2 + 46 with respect to u.\nAnswer: -12*v**3 - 960296*v**2 + 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 12. Let v be n(16). Put v, -2, -50 in decreasing order.\nAnswer: -2, v, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364900 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11859.\nAnswer: 3, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002037637 rounded to seven dps?\nAnswer: -0.0002038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a day in minutes?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*n = 0, 0 = -4*r - 2*n + 54 - 74. Which is the closest to 1.42? (a) 0.2 (b) r (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -186333354, -186333357, -186333360?\n\"Answer: -3*c - 186333351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -101110010100?\nAnswer: 101110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*((-784196)\/(-14))\/2.\nAnswer: 7, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 21. Let i be z(18). Let o = 18 - i. Suppose 3*q + 5*m = 211, -7*m + 6*m = -o*q + 235. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1216) + 5 + (sqrt(304) - sqrt(19)))**2 + 4.\nAnswer: -130*sqrt(19) + 3240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3721650 + 5?\nAnswer: -3721643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and 275.1667?\nAnswer: 192.61669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*w = 4*g - 36, 5*g + w = 27. Let c be -78*(-3)\/(g\/10). What is c rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*j - 80*j + 90 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - l + 2. Let z(u) be the second derivative of -u**4\/6 + u**3\/6 + 3*u**2\/2 - 10*u. Let j be z(2). Determine b(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236157 at least 236152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 418749 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 2. Give r(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.9 - 0.9. Let j = 642\/7 + -92. Let o = -3 + 2.6. What is the nearest to j in r, -5\/6, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 - 15*x - 64. Calculate the remainder when a(9) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9599471 and -0.043.\nAnswer: -9599471.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 + 9 + -7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 38. Let i be l(-6). Let k be (6\/(-4))\/((-2)\/4). Suppose -k*o = -i*o - 80. Does 40 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 495900010 = -5*d, -9*s + 4*s = 5*d - 495899990. Suppose 2*o + 17*o + s = 0. What is o rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, l: 1, p: 1, b: 5, h: 3, d: 1}. Give prob of picking 1 o and 1 b.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25325 and 22306.\nAnswer: -564899450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3103 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337167 is divided by 312.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-3))\/((-2)\/3). Suppose 2 = 3*i - j. Let h be (-3)\/(-5) + 4746\/3390. Solve -y - h = -i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8*s - 5*s + 153 = 0, -4*d = 5*s - 249. Suppose 0 = 5*z + 3*n - 2794, 3*z - 2*n - 94 = 1571. Calculate the remainder when z is divided by d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9593320 - 1696844 = 76*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*i**3 - 24*i - 32*i**3 + 17*i**3 to r*i + o*i**3 + k + x*i**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 155206590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*r + 11, 5*r + 2*u = r - 26. Which is the second smallest value? (a) r (b) -1\/16 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1 - k**2 - 4*k + 0 + 2*k. Let q be m(-2). Let s = q - -4. Which is the second smallest value? (a) -2 (b) -1\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 19*c**2 - 119*c - 142. Let g be q(24). Which is bigger: g or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-3)\/(-24)*0. Let i(k) = -k**3 - 2*k**2 - 2*k + 539. Let y be i(z). Calculate the greatest common factor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*(-16 + 14)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -1, 5\/8, -0.5?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*9\/18*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4108.5242 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 111*k**2 - 26*k - 128. Is w(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttgttttttggtgdtgtttt. Give prob of picking 1 g and 1 d.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5)*(-n + 2*n - 2*n) + 0*n + 3*n - 4*n + 0 + 0 - 2*n + 3 - 2*n - 3 + 3*n - n - 3*n + (12 + 5 - 3)*(3*n + 0*n - 16*n).\nAnswer: -189*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36344 and 372698634.\nAnswer: 9086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02246717 - -0.022143. Round c to five dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333321132 (base 4) in base 11?\nAnswer: 328656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j**3 - 6*j + 9. Let h(t) = -4*t**3 + 5*t**2 - t + 1. Let s(m) = -m**3 + m**2. Let x(c) = h(c) - 5*s(c). Calculate d(u) - 6*x(u).\nAnswer: u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -7*r + 2*r. Let f be (39 + -35)\/((-4)\/(4\/2)). Let x = -17 + 9. Which is the third smallest value? (a) f (b) x (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 621 divide 10496142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*p + 15, -5*v + 2*p = -2*p - 34. Suppose 2*x = 4*z - 36, 2*x + 14 = z + 4*x. Solve -v*b + z*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 8. Let w = n + 11. Let f be -6 - (-3 + 0) - w. Sort f, 3, 2 in descending order.\nAnswer: 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 41 + 3. Let i = -430 - -420. Let p = i - h. Calculate the greatest common factor of p and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 6*c**2 + 4. Let s be x(-6). Let q(f) be the second derivative of f**5\/20 - f**4\/4 - f**3 + 3*f**2\/2 - 2*f. Give q(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 39.\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146 (base 10) to base 15.\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016697439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -11*v**2 - 3*v - 4. Let i(x) = -3 + 6*x + 12*x**2 + 10 + 16*x**2 - 7*x**2. Let f(q) = -6*i(q) - 11*k(q). Factor f(g).\nAnswer: -(g + 1)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18 - -3)\/5 - (-14226)\/2976. Let g = -30\/31 + t. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + -1 + 9909\/2322 and 49\/2.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 4*o = 28, -4*u + 8 = 4*o + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -65*m + 62*m. Let o(j) = j**3 + 11*j**2 - 26*j + 4. Determine o(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96*k - 35 + 7 + 92*k)*(0*k + k - 2*k).\nAnswer: 4*k**2 + 28*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 3*w = 84. Let v(b) = 4*b + 7. Let u(n) = n + 2. Determine w*u(k) + 6*v(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -520252\/27 - -19266. Calculate the common denominator of -73\/351 and h.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -s - 10, -4*s - s + 30 = j. Suppose -2*i = -23 + s. Let t = i + 4. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - i - 44 = 0. Let q = i - 3. Suppose 4*v - q = 8. Solve 2*a = v - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 2198?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.032 - 1.11568. Let t = 0.0971 + q. What is t rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x - 48. Let f(r) = -3*r - 32. Let p(w) = 5*c(w) - 8*f(w). Let s = -23 - -34. Let t(j) = -3. What is s*t(v) + 2*p(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -6) + 1 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(99)*-2 + sqrt(99) + (-3*(sqrt(99) - 3*sqrt(99)) - sqrt(99)))\/(-1*(sqrt(9) + sqrt(9) + sqrt(36)) + (-4*sqrt(81))\/sqrt(9)))**2.\nAnswer: 891\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33 - 5*j**3 + 33 - 6*j**2)*(-2*j - 2*j + 2*j) to u*j + w*j**3 + d + p*j**4 + c*j**2 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 144, 12.6, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 205. Is c(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -275 + 277. Solve 5*j**3 + 12*j**h - 9 + 18*j + 19 + 7*j + 8*j**2 = 0 for j.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*4\/5910)\/((-12)\/(-15)*100\/120).\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*n + 4 + 6, 3*n + 5*c = -23. Let v(b) = 4*b**2 - 4*b + 3. Let j be v(1). Find the common denominator of -53\/18 and 54\/(-120) - (j\/n - -1).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 5*x**3 - 3 - 12*x**3.\nAnswer: -17*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/4 of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 327 + 7?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + 3*l**3 - 3*l**3)*(14*l**2 + l - 6*l**2 - 6*l**2).\nAnswer: -2*l**5 - l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1350252321 - -3?\nAnswer: -1350252314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 2*c - 2. Let y be (4\/6)\/(8\/60). Let g(h) = 7. Let s(k) = -6. Let q(x) = y*g(x) + 6*s(x). Let m(j) = -2*q(j) - v(j). What is m(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 18. Suppose s - 3 = -3*p + 7, 4*s = -n*p + 20. What is the units digit of (3 + -2)\/(p\/252)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**2 - 16*x = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 49*w + 10. Let o = -4 + 7. Is q(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 - (-91 + (2 - -48))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 866, 631, 240, -307, -1010, -1869, -2884?\nAnswer: -4055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9470 = 738*j + 862 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 1487796.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mimumqcqtqtimmm. What is prob of sequence qi?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 3*y + 11. Let k be a(7). Let p = k - -43. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -p - 0*p. Let s = 43 - 38. Suppose -4*u = -l - 9, -4 - 11 = -s*l. What is the remainder when p is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(4826*o + 60 - 200 + 61 + 79).\nAnswer: -9652*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 - 2*u**2 + 7*u. Let m(l) = 9751*l**4 + 8*l**3 + 8*l**2 - 28*l + 2493. Let h(t) = m(t) + 4*q(t). Find the first derivative of h(y) wrt y.\nAnswer: 39004*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 11*y**3 + 4*y**2 - 39*y - 141. Determine x(-3).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43 + 1534?\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 170757487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**3 + 100*x**2 + 46*x + 414. Determine r(34).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16, -1\/8, 1\/2, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 2 = 8*c - 7*c, c + t = 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 885 - 23*q - 885 + (2 - 3 + 4)*(3 - 2*q - 3) + 0*q + 0*q - 2*q.\nAnswer: -31*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 smaller than -60.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 1. Let s be x(-6). Let r = -7 + s. Let n(y) = -y + 1. List the prime factors of n(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103 + 66. Let q = -43 - f. What is the second smallest value in q, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-3 - -12 - (0 + 8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (312 - 0)\/(9\/6). Let y be ((-9)\/6)\/(-5 - (-2827)\/572). What is the highest common factor of v and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15, -3, 17, 45, 81, 125?\n\"Answer: 4*m**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 56. Suppose 4*j = 4*f - 4, b*j - 18 = -4*f + j. Sort -11, f, -4 in increasing order.\nAnswer: -11, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-9)*(-23463)\/237\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22933 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6533666 + 0?\nAnswer: -6533666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/9)*u)\/u*u*u*u**16\/u*u assuming u is positive.\nAnswer: u**(160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 64906*w + 259614. Give v(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 7, -1, 62 in decreasing order.\nAnswer: 62, 7, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53088112 a multiple of 1148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 3*r**2 + 3*r + 5. Let h be n(-5). Let s = -43 + h. Let m(b) = -3*b**3 - b**2 - 2*b - 4. Is m(s) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 b, and 1 g when four letters picked without replacement from {c: 5, b: 3, g: 3}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-16) - (57\/(-12) - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 192 = -3*y + 66, -5*y = -p - 48. Let o = 43 + p. What is the nearest to 0.09 in -0.2, o, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 9:40 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 118639945 to the power of 1\/2, to the nearest integer?\nAnswer: 10892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkv when three letters picked without replacement from {i: 2, e: 2, k: 1, v: 1, c: 1, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 - -97. Let t(r) = r**3 + 20*r**2 - 11*r + 1. Is t(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*k + 10*k = -585. Solve -3 = 4*y + k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171472 + 0.2?\nAnswer: 1171472.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 80477, 2.\nAnswer: -28, 2, 80477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117961 + 242381. What is g rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((21 - 7 - 17) + 5 + -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.37 + 11.63. Let c = m + -15. Let j = -2.9988 - c. What is j rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 9 + 45. Let x = n + 37. Suppose i + 5*u + 3 = 0, -3*i - 6*u = -3*u - 27. What is the remainder when x is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1426932.\nAnswer: 2, 3, 13, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -483*l. Let a(p) = -p**2 + 36*p - 28. Calculate o(a(m)).\nAnswer: 483*m**2 - 17388*m + 13524","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*-5*(sqrt(1872) + 1 + sqrt(1872)*2 + sqrt(1872)).\nAnswer: 30 + 1440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 + 9 = -58*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7922 = 13*f + 151. Let h = f - -623. Calculate the highest common divisor of 50 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 3*r - 2*r)*(-3 + 3 - 5*r) + 7 - 7 + 9*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 399 = -d - 0*d, -u + 2*d + 105 = 0. Let i be u\/(-18)*8\/2. Let s be i\/42 + (-4)\/(-6). What is the biggest value in s, -1\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15381000 to the nearest one hundred thousand.\nAnswer: -15400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.014 - -4.814. Let t = h - 4.53. What is t rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y - 10. Is 7 a factor of f(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 16 = 4*k, 22 = -2*t - 4*k + 6. Put t, -2, 4 in descending order.\nAnswer: 4, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/4 + 82*m**2 - 4751*m\/4 + 4382.\nAnswer: -(m - 313)*(m - 8)*(m - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 11*q + 9. Let p be l(6). Suppose 8*r = 7*r - 5*k + p, -r + 4*k = 21. What is the smallest value in 48, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 959449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 25116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 1:45 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/3 + 1250230*d**3\/3 + 16252652*d**2\/3.\nAnswer: 2*d**2*(d + 13)*(d + 625102)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, y: 1, c: 2, b: 1, q: 1, i: 1}. What is prob of picking 1 z and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/48)\/((-42)\/36)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.029 + -0.031. Let k = s + 0.102. Is k at most 3\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*v = -2*v + 87, -v - 89 = -3*l. What is the smallest common multiple of l and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 23. Let t be k(0). Suppose 3 - t = -5*w. Suppose -52 = -5*g + w*u, -10 = -2*g - u + 3. What is the greatest common divisor of 64 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 960*f + 3518*f + 921*f + 3059*f as l*f + p and give l.\nAnswer: 8458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4336*s - 21726. Determine h(5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 41001685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 560 - 560 - 2*f**2 - f as g*f**2 + d + m*f and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 306*m + 7056. Calculate r(25).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(0 + -1) - -1. Suppose 5*g + 2*x = w + 4, 4*x - 16 = -4*g. Suppose 6*b - 2*b - 72 = g. What is the greatest common divisor of 162 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) + -1*sqrt(234) + sqrt(26) + sqrt(26))\/(sqrt(14)\/(sqrt(7) + sqrt(42)\/sqrt(6))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276445, -276430, -276415?\nAnswer: -276400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-9) - ((-125)\/(-45) + 0). Put s, 0, 4 in decreasing order.\nAnswer: 4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-1 - -18) - (2 + 2 + -6)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 253365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 7:44 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 1. Let u(a) = -4*a - 4. Let i(j) = j**2 + 7*j + 22. Let p be i(-4). Give p*l(k) - 3*u(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 32, 9, -3, 43 in ascending order.\nAnswer: -5, -3, 9, 32, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (0\/(-3) - 3). Let a be 2\/11 + 60\/33. Let q(r) = 1 + r - 2 + 0*r + r**a + 0. Give q(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 3*y + 35*z - 49*z + 110, -3*y - 3*z = z - 36 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100 (base 2) in base 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -627, 12, 1, -100, 4, 3, 0 in descending order.\nAnswer: 12, 4, 3, 1, 0, -100, -627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197226 to the power of 1\/2, to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 387090695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2\/9, -2\/5, -1, -114, 1.\nAnswer: -114, -1, -2\/5, -2\/7, -2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 46, 38, 16, -26, -94?\n\"Answer: -w**3 - w**2 + 2*w + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016618651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.32552 and 10165.\nAnswer: 3308.9108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21340 and 194.\nAnswer: 21340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2450*i**3 - 21 - 59 + 80 + 441*i**3 + 2*i**2 to t*i + s*i**2 + x*i**3 + a and give x.\nAnswer: -2009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 5*f**2 - 3*f**2)*(-2*f**2 + 0 + 0) + (2*f**2 - 2*f**2 - 2*f**3)*(2*f + 142 + 235 - 120).\nAnswer: -6*f**4 - 514*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4792023 is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 12*h. Let i be 3 - 4\/((-12)\/27). Let j be a(i). Let w = -2033 - -2045. Solve 3*z = -j*z + w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1275?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2591.37524 rounded to 1 dp?\nAnswer: -2591.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1607682 is divided by 1607105?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**3 + 2*n**2 - 1623*n + 22952.\nAnswer: 9*n**2 + 4*n - 1623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.04, -2\/7, -0.05, -4\/3 in ascending order.\nAnswer: -4\/3, -0.3, -2\/7, -0.05, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -50*f**2 - 1. Let o(r) = -9*r**2 + 4*r - 12. Let v(c) = 16*c**2 - 7*c + 21. Let u(s) = -7*o(s) - 4*v(s). Calculate u(l(z)).\nAnswer: -2500*z**4 - 100*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2967.2 to the nearest ten.\nAnswer: -2970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*k = 10, -5*k = -3*b + 8*b - 10. Suppose -3*w = -b*y - 2713, -y - 1694 = -2*w + 123. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 2. Let t = 1 + -3. Let x be k(t). Suppose 2*y + x*y = 24. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -2 in descending order.\nAnswer: 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, j: 18}. Give prob of picking 2 j and 2 r.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*m - 239694 = 11*m. Is 6 a factor of (-12)\/96 + m\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 299897044.03567 - 299895489. Let l = 1555 - b. What is l rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u = 2*o + 9, -4*u + 5 = -5*o. Solve 35 = -5*j - o*m - 0*m, -31 = 4*j + 3*m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5\/3 - 7*n**4\/3 - 78*n**3 - 1156*n**2\/3 - 2120*n\/3 - 448.\nAnswer: (n - 21)*(n + 2)**3*(n + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13705?\nAnswer: 5, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9264406 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56.31 - -57.31. What is the nearest to q in -5\/6, -1, 1\/4, -0.08?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r + 23*r + 10*r. Let o(i) = 477*i + 475*i + 472*i - 1431*i. Give p(o(c)).\nAnswer: -266*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2942, 5, -913.\nAnswer: -913, 5, 2942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -481, 1, 50, 2, 5 in descending order.\nAnswer: 50, 5, 2, 1, -9, -481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/(-99))\/((-126)\/1848). What is the fourth smallest value in -3\/5, 2\/11, o, -1\/5, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*k = 1222451 - 1233026 for k.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4792033 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (258*a + 15*a + 40*a + 624*a)*(-6*a - 14*a - 12*a).\nAnswer: -29984*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 6*h**2 + 3*h - 3 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1556343 and 2\/192357.\nAnswer: 17119773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50794*f**4*y - 18836*f*y + 2*y - 2 wrt f?\nAnswer: 609528*f**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.99407nm to meters.\nAnswer: 0.00000002399407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16333, 15899, 15175, 14161?\n\"Answer: -145*f**2 + f + 16477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Express 213*h**3 + 509 - h**2 - 511 + 0*h**3 as v*h**2 + z*h**3 + j*h + o and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 3*c**2 - 4*c + 4. Let w(o) = -59*o + 1184. What is the least common multiple of w(20) and s(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3379809ug to kilograms.\nAnswer: 0.0000000003379809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112392657*d**5 - 12723*d**2 + 15*d + 11.\nAnswer: -6743559420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 40, -22, 1819.\nAnswer: -22, 5, 40, 1819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 11) + 286\/9. Suppose 0 = k + 4*m + 41, -3*k - m = -8*k - 142. Let i = k + f. What is the nearest to 0 in i, 0.4, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-nine fifths of a micrometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*q**2 - 1496\/7*q - 139876\/7.\nAnswer: -4*(q + 187)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 5.\nAnswer: 5*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + 1*sqrt(192))\/sqrt(8))\/(-6*sqrt(60)\/sqrt(5)) + ((sqrt(132)\/sqrt(11))\/sqrt(6))**2 + (0 + (sqrt(2) - (sqrt(2) - (3 + sqrt(2)))))**2.\nAnswer: 17*sqrt(2)\/3 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 37, 5, -61, -173, -343, -583, -905?\nAnswer: -1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 220598?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5818308, -11636600, -17454892, -23273184, -29091476?\n\"Answer: -5818292*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 3*g = -24, 604*g - 19 = 5*l + 606*g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4776 (base 8) to base 3\nAnswer: 10111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 99 = 4*o - 5*o, -o = 4*m - 125. What is the remainder when 95 is divided by m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*f + 10*f + 17*f)*(9 - 24 - 80)*(-1 - 2 + 2).\nAnswer: 1615*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35192603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122022532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**3\/3 + 7*t + 179. Let w(d) = 3*d**2. Determine x(w(i)).\nAnswer: 9*i**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 524265 and 599160?\nAnswer: 4194120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156*26\/(-1872)*12?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, u: 4, v: 1, j: 4}. Give prob of picking 1 u and 1 v.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-72)\/63 + 83\/(-10)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 8*k = 2*n + 162, -2*k = 4*n - 356. What is the lowest common multiple of k and 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1)*39\/39.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 70\/15)*-1*6. Suppose 6*y = -q + y + 20, -c*y = q - 24. What is the highest common divisor of q and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396.5336 litres in millilitres?\nAnswer: 396533.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 620160 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004981729 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13479, 108853, 368015, 872859, 1705279?\n\"Answer: 13649*k**3 - 169*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + d - 15, 3*d - 7 - 10 = -l. Suppose -2*q = -0*q - l. Is q less than or equal to 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r**3 + 266037*r**2 + 52604548*r - 15051588 = 0. What is r?\nAnswer: -197, 2\/7, 38202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ara when three letters picked without replacement from aera?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 40. Let l be (-1)\/((-2)\/(-4)*2). Let n = l + m. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 + -0.2. Let p = 10 + -1. Let z = 6 - p. Which is the biggest value? (a) w (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-28)\/5)\/2*-145. Suppose 6*j + b = 2*t + j, -t - 2*j = -203. Is t a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 3 = -3*c. Let y = 7 + c. What is the first derivative of 0 + 6*j**y - 4*j**2 + 2*j**2 + 1 wrt j?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*((-15)\/9 - -3). Let s be 1\/l - (-13)\/(-20). Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - q = -5, 7*u - 2*u - 4100*q = -4099*q - 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128904 + 306931. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = -h. Let u = 0.13 - 0.16. Let p = u + -0.27. Which is the nearest to -0.1? (a) p (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_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: Calculate 5*-59.90871.\nAnswer: -299.54355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 187362?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-1))**(2\/83)\/(t**1)**(-31))\/((t*t**(2\/7))**44)**(16\/7) assuming t is positive.\nAnswer: t**(-399517\/4067)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74.392 - 29.425. Let s = 45 - j. What is s rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3768*i**2 - 3719*i**2 + 7446*i**2.\nAnswer: -41*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 390, 781, 1172, 1563, 1954?\nAnswer: 2345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 0.1, 4789\/7, -0.2, -5, -2?\nAnswer: 4789\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b - 63. Does 3 divide c(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4090 is divided by 187.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -1. Suppose 3*t + 5 = -5*p, -2*p - t = -w*p - 1. Which is greater: -1\/5 or p?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -55*p**3 + 7*p**2 - 2*p + 67. Is o(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j = -2*n + 158, 0 = 2*j - 3*n - 138. What is the least common multiple of 30 and j?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(21\/12 - (-22 + 24)). Let p = -16 + 12. What is the smallest value in 6\/25, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/24 (b) 4 (c) 0 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**4 + 1930*i**3 + 9708*i**2 - 7720*i - 38800 = 0.\nAnswer: -5, -2, 2, 970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*f - 3*j, -5*f + 0*j - 9 = 2*j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285 and 931228.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -86, 0.3, -0.4, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f + 5 = 0. Suppose f*g = g. Let v = g - 1\/4. What is the nearest to -1\/3 in -4, v, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 113 + 112 - 228. Let j(o) = o**2 - 6. Let y(d) = -2*g(d) + j(d). Let a(c) = 174*c. Give y(a(r)).\nAnswer: 30276*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -232.736 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(6\/5)*k**13*k assuming k is positive.\nAnswer: k**(76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 2\/9 (c) -9352 (d) -0.5 (e) -2.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**5 + 2*p**5 + 0*p**5)*(5 + 4 - 4 + (-1 + 1 - 1)*(2 - 3 + 0) - 1 + 0 - 1).\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/9, -2, -101, 0?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -19 - -14 - (-5 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3854*j + 11517. Determine x(3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221279384 is divided by 2635?\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 9. Find the third derivative of 5*c**2 - 2*c**5 + 0*c**d - 3*c**2 wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5263507*i**2 - 2021850*i?\nAnswer: 10527014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 18905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 12:27 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 24*o - 26 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*x - 5 = 0, 0 = -440*g + 436*g - 4*x - 4. Suppose 0 = -4*v + 4*b, 16 = 4*v - 0*b + 4*b. Let c be -3*v\/(-3) - -1. Solve g*s - 9 = c*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -1)\/((-33 - -19) + 12). Solve a = 3*j - 206 + 221 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**5\/5 + 16*x**4\/5 + 24*x**3\/5 = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 9*g**2 + 12*g + 25. Let w(s) = 5*s**2 + 7*s + 12. Calculate -3*r(k) + 5*w(k).\nAnswer: -2*k**2 - k - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9\/34 - 1\/68. Let x(q) be the first derivative of 7\/2*q**2 + w*q**4 + 7\/3*q**3 - 3 - 2*q. Calculate x(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 758062174 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8\/(i\/i**(-3\/5)))**(-8) assuming i is positive.\nAnswer: i**(-256\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194433697?\nAnswer: 23, 8453639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/30)\/(2\/(-3)). Let t(x) = -x**3 + 5*x**2 + 5*x + 7. Let k be t(6). What is the second biggest value in o, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2379*y = -2376*y - 8*b - 32, 6*b = 5*y - 24 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 524901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 2*z - 14 = 0, 98*v - 93*v + 5 = -2*z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8563\/8338 + 7\/379. Let z = -38349 - -26351. Let l = z + 263877\/22. What is the common denominator of n and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 2*r + 7. Suppose 2*w = 3*z - 9, 3*z - 7 = 4*w + 2. Let p be h(w). Suppose -20 = 6*s - p*s. What is s rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 402\/24 + 1\/4. Calculate the highest common factor of 51 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1\/6, 6, 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.27.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 l when three letters picked without replacement from jhhllljljhjllllfllhj?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -31 - (7 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 + 3*c**2 - 2*c + 3. Let p be s(2). Let o be 14\/7 + ((-8)\/4 - 1). Find the common denominator of 11\/14 and (o\/5)\/(12\/p).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/6*-7*(-14)\/((-980)\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10*m + 48. Calculate f(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 82 + 62. What is the remainder when 143 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2234801?\nAnswer: 113, 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(-1 - 2 + 1)*(2*d - 3 + 3).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 48520 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**5\/5 + c**4\/3 + 4*c**3 - 982*c. Suppose a(g) = 0. Calculate g.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 times 14.9\nAnswer: -670.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - m**2 + 5)*(-19*m + 6*m - 5*m) to r*m**3 + s*m**2 + k*m + c and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*r**4 - 3*r**3 - 3*r**2 - 426*r.\nAnswer: 1176*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7 (b) 1\/3 (c) -0.24 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -1\/3 (c) 1.34 (d) -45 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1. Let d(j) = j - 1. Let v be ((-4)\/(-18))\/((-195)\/(-27) + -7). Calculate v*d(r) + 2*u(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, k: 4, s: 2, a: 1, z: 3, h: 2}. What is prob of picking 1 s, 1 c, 1 z, and 1 h?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 167*j**2*r*x - j**2*r + 785*j*n*x - 11*j*n + j*r - 663*n*r + 5*r wrt x.\nAnswer: 167*j**2*r + 785*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -754\/45 less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 2.5757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3715 + 25123 = 2541*z + 77344 + 114118 for z.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 - -3) - (-8695 + 8735)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 4:20 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1988615 times -0.2\nAnswer: 397723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v. Let o(q) = 262 - 262 - 2*q. Calculate n(o(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24*(-4)\/(-132)*6435\/702. Let 16 - 2\/3*x**2 - h*x = 0. Calculate x.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2 = 2. Let w = o + 4. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, 1, 13, 8, -1, -4 in descending order.\nAnswer: 109, 13, 8, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1121*j**2*m**2 - 28*j**2*m - 19059*j + 4*m**2 wrt j?\nAnswer: -2242*m**2 - 56*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 17\/4*b**4 + 1\/2*b**2 - 15 + 2\/3*b**3 - b. Is g(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09767546 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1768 is divided by 1613?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**(2\/3)))\/z)**(-2\/91))**11\/(z**(-2)*z**(-2)*z)**(-33) assuming z is positive.\nAnswer: z**(-26917\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(704) + 2 + sqrt(11) + -2)**2.\nAnswer: 5819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1301349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(24\/(-27)) + (-15)\/(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2120 and 4?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, 34005, 2\/25 in increasing order.\nAnswer: -0.5, 2\/25, 2, 34005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 13*x + 29. Calculate r(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/231 - (-2)\/11)\/((-1403)\/7015)?\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218305289 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180687232 and 5632?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 30 = -3*t. Let g = -22 - t. Suppose -2*i = 10, k - 3*k - 3*i = 13. What is the highest common divisor of k and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 10:44 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 10, -5*j + 68 - 38 = 4*x. List the prime factors of 20786\/95 + j + 28\/(-10).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -20. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3)*c**(-1)\/c*(c**(-2\/3)\/c)**30 assuming c is positive.\nAnswer: c**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 14*y**2 + 261*y + 147. Calculate z(-19).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1326282 divided by -5?\nAnswer: 1326282\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140221821 is divided by 499010?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*h + 11, -2 = -0*t + 2*t + 2*h. Find the common denominator of 69\/20 and (6 + 64\/(-15))\/(t\/(-2)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 14, f: 1, m: 1}. What is prob of sequence cf?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**14)\/s*s*s**(-1\/16))**(6\/19)*((s**(-10)\/s)\/(s\/(s*(s*s\/s**(-6\/5))\/s*s)))**(-6) assuming s is positive.\nAnswer: s**(32673\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527 + 1058 - 2*j**2 + 3*j**2 - 519 - 146*j**2.\nAnswer: -145*j**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 808313117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 6*n. Suppose 2*y - 4*y = n. Solve y*x = 2*x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 103 - 17 = 0. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(832) - (sqrt(832) - (0 + sqrt(832) + -1) - sqrt(832))) + -4)*2*6)**2 + -4.\nAnswer: -829440*sqrt(13) + 17381948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 + 6*d. Let h be u(-4). Calculate the highest common factor of h and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 4:03 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 10 = 5*h, 3*l = 6*h - 5*h - 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p = 18*p + 4*z - 7, z = -5*p + 28 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a microsecond in nanoseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*j**4 - 540*j**3 - 1452*j**2 - 1728*j - 768.\nAnswer: -3*(j + 2)**2*(5*j + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 1078*c**5\/5 - 5*c**3\/3 - 77*c**2\/2 - 279. What is the third derivative of w(p) wrt p?\nAnswer: 25872*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118126239?\nAnswer: 3, 7, 11, 269, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.7 - 98.7. Let u = 87.47 + v. Round u to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1770375, 3, -3 in decreasing order.\nAnswer: 1770375, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 3:46 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2637 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8015.747 kilograms to grams.\nAnswer: 8015747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 25304421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8*b + 13. Let i(q) = q. Calculate i(c(k)).\nAnswer: 8*k + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38ad (base 15) in base 16?\nAnswer: 2f38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4)*(4 - -2). Suppose -1 = -4*o + z*o. Which is the nearest to o? (a) -5 (b) 5 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 10891?\nAnswer: 10892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6010.743 hours?\nAnswer: 360644.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5959*s**3 - s**2 + 29490*s wrt s?\nAnswer: 35754*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-3*j**2 + 2*j**2 + 3*j**2) + 0*j**2 - 2*j**2 + j**2 + j**2 - 2*j**2 + 0*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -22103?\nAnswer: -22101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1452 + -1452.1. Let w = 104\/5 + -21. What is the closest to i in 7, 6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709600 is divided by 4009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164538*g**2*k**3 - 2*g**2*k**2 + 4*g**2 - 5*g*k - 32*k**3 + 5967*k**2 + 2 wrt k?\nAnswer: 987228*g**2 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98532 - -0.903?\nAnswer: 98532.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sttttstsggrsgtssttgs. Give prob of sequence str.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 t when four letters picked without replacement from {t: 13, n: 1, k: 3}?\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*c - 200 = 0, 5*p - 2*c - 3*c = -300. Let h = -34 - p. Suppose -3*n = n + 5*l - h, -5*n = 3*l - 23. Let m(g) = g - 4. Determine m(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 108*r**2 - 63*r + 5. What is the thousands digit of m(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 1 = 5*n + 4*c, 3*c - 12 = 0. Let x(d) be the first derivative of -5\/4*d**4 + 0*d - d**2 + 1 + 0*d**n. What is the second derivative of x(m) wrt m?\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**3 + 47*g**2 - 51*g - 59. Let q(i) = 3*i**3 - 24*i**2 + 26*i + 30. Let x(l) = 7*q(l) + 4*r(l). Calculate x(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 41 = 4*d - 71, 32 = 2*i - 4*d. What is the greatest common divisor of i and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9619010 to the power of 1\/3, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-315)\/(-20) + (76\/(-80) - (-18)\/15).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (30\/(-18))\/(-1 - 12\/(-27)). Suppose -750 = -5*y + i*o, o - 300 = -2*y + 4*o. What is the highest common factor of 75 and y?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 3. Let r be k(-3). Let t = -3 + r. Suppose -4*j - t*a + 92 = -0*a, -22 = -j - a. What is the remainder when j is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235314 is divided by 1337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 + 249*x**2 - 1521*x + 2295.\nAnswer: (x - 3)**2*(x + 255)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 + 3)\/(203\/(-140) + (-4)\/(-20)). Let m(c) = -33*c**2 - 4. Let k(q) = -1. Determine g*k(j) - m(j).\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-62908)\/1)\/(-4))\/(0 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*a**2 - 24*a**2 + 2*a**3 + 97*a**2.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9892 - -158197\/16. Let f = -3\/923 - 14741\/8307. Let z = -599\/18 - f. What is the common denominator of x and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26304 - -26303. Which is the second biggest value? (a) 34 (b) m (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -10. Let v be (72\/u)\/(0 + 12\/42). Calculate the highest common divisor of v and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**4\/24 + z**2. Suppose -15 = -3*n + 2*y + y, 3*n = 4*y + 18. Let u(w) = w**n + 20 - 20. Calculate u(x(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85 - 80. What is the smallest common multiple of 4 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*p - k + 4*k, 4*p - 3*k - 15 = 0. Let h(l) = -l**2 + 1. Let b be h(-1). Solve p*c = -2*u + 5, -3*c + u + 20 = -b*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.1830923um?\nAnswer: 0.00001830923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 69*t + 2066. What is the hundreds digit of y(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-7))\/(o\/(o**4\/o*o*o))*o*o\/o**(-3)*o*o*o*o**(5\/3)*((o\/(o**(-6)*o))\/(o**8*o))**47 assuming o is positive.\nAnswer: o**(-400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.096 - -538344.85249?\nAnswer: 538344.94849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, n: 15}. What is prob of picking 3 l and 1 n?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**2 - 12284*s - 4849800 = 0.\nAnswer: -354, 3425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 90 + 70. Let n be (0 - -4)\/(1 - 2) + 9. Suppose -2*p = -p, -n*h + 100 = 2*p. Calculate the lowest common multiple of w and h.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.17 at most as big as -1583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from aawwpppappppw?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/31 (b) 2\/333 (c) -5 (d) 5 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 13251*z - 424016. Calculate f(32).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3962940301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -424304 divided by -3\nAnswer: 424304\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1407 + -39399\/28. Suppose 0 = 2*l - 2. Which is smaller: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2, -16, -34, -56, -82, -112, -146?\n\"Answer: -2*o**2 - 8*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4070113436 plus -0.18?\nAnswer: 4070113435.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**2. Let v(r) be the second derivative of -r**4\/12 - 29*r. Calculate b(v(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4161, 4157, 4151, 4143?\n\"Answer: -u**2 - u + 4163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 104, -74043 in decreasing order.\nAnswer: 104, -4, -5, -74043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + sqrt(76)\/sqrt(4))*2)**2 - (2*(sqrt(190) + (sqrt(190) - -1*sqrt(190))))\/(-2*sqrt(360) - sqrt(360) - sqrt(360)).\nAnswer: 4001*sqrt(19)\/4 + 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10963, -22010, -33057, -44104, -55151, -66198?\nAnswer: -77245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 19*t**2\/2 + 22*t + 6. Let x be o(6). Suppose j + 40 = x. What is the greatest common divisor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32634092 a multiple of 1316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 283 + -282. Let k(v) = 3*v - 4*v - 1 + 0. Let f be k(-5). Sort 2, l, f in decreasing order.\nAnswer: f, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 739, 744, 749, 754, 759?\n\"Answer: 5*r + 734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(-1*sqrt(9))*-2)**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 + 3*o + 2. Let l(i) = -8*i**2 + 8*i + 5. Let v be (-3)\/((17 - 13) + (-19)\/4). What is v*l(k) - 11*g(k)?\nAnswer: k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 0*i**4 + 16\/3*i**3 + 31 + 9\/7*i**7 + 0*i**2 + 0*i**5 + 0*i + 0*i**6. What is the third derivative of l(o) wrt o?\nAnswer: 1080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1035 (b) -0.1 (c) 1 (d) -1 (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87\/103 + -63906\/75293. Which is bigger: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/86 (b) -4\/9 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 4 = 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (221\/(-3))\/(13\/(-39)) - -4. Determine z, given that -30*z**3 - 1585 - 165*z**4 + 10*z + 25*z**2 + 1585 + n*z**5 - 65*z**3 = 0.\nAnswer: -1\/3, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.009 (b) -13 (c) -0.0053\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 3*u - 4. Let y be v(-4). Let k = y + 1. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 8*r + 10. Determine p(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -284\/5 + 1948\/35. Are w and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10975540.\nAnswer: 2, 5, 17, 19, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4 = 2*t - t, -3 = -2*x - 5*t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -1023*x**4\/4 - 1295*x**3 + 3642. Find the third derivative of p(t) wrt t.\nAnswer: -6138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45818840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21 and 66?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*j**3*u**4 - 29752*j**3*u**2 + 177*u**4 - 6*u**3 - 2*u wrt u.\nAnswer: 120*j**3*u + 4248*u - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -104482*l - 1253780. Determine a(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 309 = 61. Is 31 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4888.5434 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**5\/10 + 2*z**4\/3 - 2*z**3 - 57*z**2\/2 - 74*z. What is the units digit of s(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2. Let c(i) = -15*i. Determine f(c(v)).\nAnswer: 225*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38 - 20?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4.8, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 18. Let y be (-8)\/r*-6 + 54. Let s = y + -27. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*u - 13 = -5*x, -2*u - 22 = -4*x. Solve 0 = x*i - 22*i + 30 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -3*f**5\/5 - 3*f**4 - 4*f**3 + 11. Let z(w) = 0. Calculate w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m + 58 - 58. Suppose 0 = 5*a - 3*k - 24, 4*a + m = 2*k + 18. Solve -a*l - 2*l = 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 75 (b) -505 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)\/(sqrt(9)*5)*-3 - (sqrt(180)\/(-2*sqrt(10)*-4))**2.\nAnswer: -9*sqrt(2)\/5 - 9\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l. Let g be k(-1). Let t be ((-9)\/12)\/(3\/g). Suppose b = -2*b - t*y + 10, -3*b + 3*y = -15. What is the least common multiple of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015637 to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 - 1. Suppose -o = -7 + 3. Let k be (o - 5)*6\/15. What is the closest to k in y, 0.3, 3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 4. Let j(d) = 3*d - 5. Let w(s) = s**2 + 157*s - 1676. Let h be w(10). Determine h*j(p) + 7*u(p).\nAnswer: -4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*k**2 + 60*k**2 - 32*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3999 - 7987\/2. Let t(z) be the third derivative of 0*z - j*z**3 - 17\/24*z**4 + 0 + 42*z**2. Differentiate t(n) wrt n.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 117.84 to 0 dps.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-60))\/((-20)\/100).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-231)\/(-147))\/((-4)\/(-28))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769774393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 0 + sqrt(75)*2 + 1 + sqrt(75) + sqrt(75) + -1 + 4 + -3 + sqrt(75)*-1*2)*-5)**2.\nAnswer: 7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-2))\/(1\/(-6)). Let q be (-24)\/18*(-6)\/4. Suppose -i = 5*h - 162, -278 = -q*i + 3*h + 46. What is the highest common factor of b and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40823.75 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 1\/2, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 12*b + 32. Let y be w(-8). Suppose 7*x + 5*x + 48 = y. Calculate the least common multiple of x + (-8)\/(-2) + 20 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60\/(1 + 0) + 3. Let s be (-1 + 0)\/((-7)\/j). Suppose a + 3*x = s, -4*a = -2*x + 4*x - 66. Calculate the remainder when 34 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 6*y**2 - 8*y - 9. Let n be v(-5). Put n, 3, 4 in descending order.\nAnswer: n, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -94493310807784?\nAnswer: -94493310807783.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 966420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/63)\/(-2 + 26\/12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + (-20)\/6)*0. Solve 3*c + 5*h + 7 - 31 = l, c + 5*h = 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14314, -1\/5, -4446\/5, 1.\nAnswer: -14314, -4446\/5, -1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and -0.4?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 2*i**2 - 2*i + 3. Suppose -9*u + 8 = 35. Determine y(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 486571 to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -170*h - 874. Let l be r(-10). What is the greatest common factor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3416375059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from xxxgxxxxxxfffxxfffj.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nr when two letters picked without replacement from {q: 1, n: 1, m: 1, r: 2, x: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 6817*b + 1337375. Give o(209).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/14 - (-4)\/28*3. Sort n, 3, 4.\nAnswer: n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d. Let j(f) = -3*f. Let t(g) = 2*j(g) + 5*y(g). Suppose 2*l - 3*l = -2. Let v(p) = -3*p**l + 3*p**2 + p**2. Determine t(v(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22534 + 22533.7. Let z = 357343\/16060 - 2\/4015. Which is the biggest value? (a) r (b) 1 (c) z (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9034.554 kilometers in micrometers?\nAnswer: 9034554000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-3)*z)\/z)\/z)**(3\/28)\/(z\/(z**2\/z))**(10\/7) assuming z is positive.\nAnswer: z**(-9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-8) + (-10)\/(-4). Solve 5*l - c - 10 = c, 2*l + h*c = -10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1686855954450 + 31.6?\nAnswer: 1686855954481.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -31, 0.2, -169, -4, -5, 1\/3?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/21 and -119\/870.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 7 (b) -4.5 (c) 102 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 320, 638, 956, 1274, 1592?\nAnswer: 1910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18\/78*4\/(-6)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 4*u**2 - 4*u + 4. Let k(o) = 3*o + 11*o**2 - 5*o - 3*o**3 + 6*o + 7*o - 11. Give 11*a(d) + 4*k(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1424 and 2?\nAnswer: -2848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a - 5. Let o(z) = z**2 - 5*z - 11. Let g be o(9). Suppose -4*l + g = n, -5 = 3*n - 5*l + 5. What are the prime factors of t(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/3*-21*2\/(-28).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -531?\nAnswer: -4\/531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 8*g = -344. Let x = 179 + g. Let s(d) be the second derivative of d**4\/12 - d**3 - 3*d**2\/2 + d. Determine s(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1430 = z - 4*d + 2848 - 1434, -d - 2*d = 2*z - 32 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 845629015.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 + 14*f**2 - 13*f + 7. Let q be l(6). What is the remainder when 58 is divided by 1 - (q + -59)\/(5 + -3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4679 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -902 - -901.998774. What is n rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**3 - 5*q**2 - 2*q - 2. Let v(d) = d**2. What is -5*v(t) - w(t)?\nAnswer: -3*t**3 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2758, 2725, 2668, 2587, 2482, 2353?\nAnswer: 2200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 1 = 2*u, 2*u + 7 + 10 - 22 = -5*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 61\/5. Which is the nearest to -2\/7? (a) j (b) 2\/21 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(68) - -3*sqrt(68)*-1)\/((sqrt(12)\/(sqrt(6)\/sqrt(2) + sqrt(3)) + (sqrt(64) - sqrt(64)*-2))*-6).\nAnswer: sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 7:18 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from pppppccppppjppj.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - 3836739?\nAnswer: -3836762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + (sqrt(363) + 2)**2 + (sqrt(363) + -4)**2*3 + -4)*4.\nAnswer: -3520*sqrt(3) + 23968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 7. Let u(i) = i + 5. Let m(k) = 5*d(k) + 7*u(k). Let n be (14\/(-3) + 4)*-48. Let p(w) = n + 4*w - 32. Determine m(p(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 3*v + 21 - 60, 5*v - 55 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + 0*q - 2*q**5 + (2*q**4 + 2*q**4 - 3*q**4)*(2*q - 2*q - 2*q) + 3*q**5 - q**5 - 4*q**5 + 3*q**3 - 2*q**3 + 14*q**4 - 2*q**5 + 0*q**5.\nAnswer: -8*q**5 + 14*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15255497 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598999.\nAnswer: 598999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310950*z - 165506*z - 145468*z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -39, -3 in decreasing order.\nAnswer: -1, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296 and 1110.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*a**3 - 28*a**3 + 95*a**3 - 35*a**3 - 48.\nAnswer: -a**3 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 + 126 + (1 - (7 - (-1 - -2)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 29 (b) -0.5 (c) 10\/287 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 19\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.633659712 + -801?\nAnswer: -801.633659712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u - 3*u**4 + 0*u**4 - 5*u**4 + 0*u**4 wrt u?\nAnswer: -96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(5 - (6 + -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**2 + m - 1. Let b be g(3). Suppose b = 3*d - 4*d. Let r = -51 - d. Solve 17 + 3 = -r*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 192?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**2 + 2*t**5 - 2 + 3*t**2 - 2*t**2 + 0*t - 3*t**5 + 0*t + (-3*t**3 - 2*t**3 + 3*t**3)*(t**2 + 0*t**2 - 3*t**2).\nAnswer: 3*t**5 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from {a: 2, g: 6, f: 5, n: 2, x: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**2 - 128*b + 1199. What is x(9)?\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 3*b**6\/10 - 197*b**5\/20 + b**4\/4 + 2*b**3\/3 - 87*b**2\/2 + 169*b - 5. Find the third derivative of o(x) wrt x.\nAnswer: 216*x - 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/86881 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s**2 + 4*s**2 - 5 + 5.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**3 + d**2 - 1. Let r be g(1). Solve 24 = -r*k - 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a minute in seconds?\nAnswer: 1710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/3 of a day in minutes?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 3*q**3 + q**2 + 62 + 2*q**4 - 2*q**3 - 62 as w*q**2 + i*q**3 + g*q**4 + p + t*q and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wweehhehhnwlhe. Give prob of sequence wn.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.858 take away 64595?\nAnswer: -64563.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/452 and -17\/12?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 50b5a371 - -1?\nAnswer: 50b5a372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1053) + 0)*-5)**2.\nAnswer: 421200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8c1 + 233e?\nAnswer: 1a7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72 - -0.633852721.\nAnswer: -71.366147279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, e: 5}. Give prob of sequence oeee.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (-644)\/(-651))*-3. Put g, -0.1, -4 in decreasing order.\nAnswer: g, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 divided by -4?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 5:35 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*r - 574, 4*r + m = 1708 - 562. Suppose 73 = -z + r. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 22355328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -12*i. Let m(r) be the first derivative of r**3\/3 - 7. Give m(q(p)).\nAnswer: 144*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z - 1. Let m(g) = -6*g + 1. Let k(a) = 4*f(a) + 6*m(a). Let c(x) = 15*x - 4. Let q be (1 - 2 - (0 - 0))*(10 - 4). What is q*c(h) - 11*k(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9881825?\nAnswer: 5, 395273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.08 - -1.98. Which is the closest to -3? (a) 3 (b) t (c) 5 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y. Let v(h) = 376*h**2 + 197*h**2 + 19 - 10 - 9. Calculate b(v(f)).\nAnswer: 1146*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -23, 10, 713.\nAnswer: -23, -0.4, 10, 713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1050 = -5*l - 3*d, -228 = 99*l - 100*l + 3*d. Calculate the highest common factor of 2059 and l.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 78*b**3 - 3*b + 2. Let a be h(2). Suppose 25*w - 30*w + a = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -3.\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/180*(-15)\/18?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1383 less than -0.2?\nAnswer: 1382.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1475 and 500?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**5\/30 + 2*x**4\/3 - 2*x**3 - x**2. Let l be h(-9). Suppose z - l*z - 15 = 0. Let r(t) = -t**2 - 5*t - 4. Give r(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*d - 4*d + 123*d = -816. Let q(p) = -4*p**2 + 0*p + 7*p**2 + 3*p - 4. Determine q(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78.5 - -78. Which is the nearest to 3? (a) 1\/4 (b) 0 (c) -0.2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015521 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 8 - 2)*(-3*x - 2*x + x) to y + m*x and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1464 * 78615.\nAnswer: 115092360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 139472 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2845913 rounded to 1 decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 118127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 6*f**2 + 8*f - 1. Let n be (-14)\/77 + (-150)\/22. Let q be b(n). Suppose -3*g + 46 = 37. Sort q, 5, g in decreasing order.\nAnswer: 5, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15886 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 4*i**2 + i - 2. Let c be m(-4). Let h(g) = -4*g**2 - 5*g + 3. Let s(k) = -5*k**2 - 6*k + 4. Calculate c*h(w) + 5*s(w).\nAnswer: -w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5\/3*z**5 + 0 + 0*z**2 + 0*z - 5\/3*z**4 - 10\/3*z**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from lllljllljllj?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 25*k**2 + 472*k - 24. What is the hundreds digit of z(-40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-four thirds of a year?\nAnswer: 256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 6. Suppose -2*r + 2 = 0, 75*d - 77*d - 4 = -2*r. Let h = 84 - 757\/9. Which is the third smallest value? (a) d (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-9)\/(-3) - -2) + 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 n when four letters picked without replacement from wxnjxjnndn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2757653 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1525 + -239. Let b = r + 305. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 205*m - 9 + 19.\nAnswer: -205*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(-2\/11)*j)*j)\/((j\/(j*j**(1\/4)))\/j))\/(j\/(j**(-1\/12)*j)*j**(-2\/13)*j))**(4\/17) assuming j is positive.\nAnswer: j**(2578\/7293)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**4\/24 + p**3\/6 + 1140*p**2. Let b(v) = -v**2 - 3*v - 1. Let d be b(-2). Calculate s(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**4\/3 + 4*w. Let a = -8 + 11. Let n(p) = -a*p - 4*p + 5*p. What is n(f(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 3*o + 26, h + 3*h + 2*o = 20. Suppose 0 = -5*q - h*x - x + 130, -q = 3*x - 34. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 566157 - 287720. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 35 (b) -0.5 (c) -1\/923 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36375*w - 283 - 2*w**2 - 36375*w)*(3*w**2 - w**2 - w**2).\nAnswer: -2*w**4 - 283*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1737, 1731, 1713, 1677, 1617, 1527?\nAnswer: 1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 = -10*l - 159. Let c be (20\/l)\/((-8)\/(-10) - 1). Solve -g - 2*g = 4*v + 31, c*v = -3*g - 23 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3*u = 3*u + 3 - 5 - 30, -11*x + 3*u = -26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-4221)*(-42)\/4*30\/45?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 84513?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-1377614.\nAnswer: 5510456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -141*a**2 - 1402*a + 8. What is t(-10)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 214215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17939447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*d - 82*d - q + 25174, 0 = -3*d - 17*q + 37823. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -59*n - 5075. What is o(-86)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300311 (base 5) in base 2?\nAnswer: -110000111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 17 = i, -2*i + 3 - 15 = -3*r for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -857 + -90?\nAnswer: -927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42114, -86319, -130540, -174783, -219054?\nAnswer: -263359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 4*q + 11. Does 7 divide m(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 36305 = 5*w - 103128, -44536 = -2*y + 3*w. List the prime factors of y.\nAnswer: 22271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 9*g**2 - g + 11. Let a be v(9). Suppose 2*t = -a*t + 108. Let k be (6\/(-8))\/(2\/(-144)). Calculate the greatest common divisor of t and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, s: 3}. What is prob of sequence sa?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 95005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-10 - -25) + 1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 1236 in descending order.\nAnswer: 1236, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -2696?\nAnswer: 9\/2696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -415\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-48))\/p*p*p**(-10)*p**(2\/17)*p*(p**21*p)\/p assuming p is positive.\nAnswer: p**(1039\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 114*j**2 - 121*j**2 + 3 + 40 wrt j.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 219*p**5 + 3*p**4 - 12*p**3 - 17*p**2 - 35.\nAnswer: 13140*p**2 + 72*p - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -420 divided by -179613.\nAnswer: 20\/8553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 241854040579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 5*y**2 - 7*y + 2. Let p be u(6). Let d be 4 + -2*p\/(-2). Sort d, -3, 1 in increasing order.\nAnswer: -3, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6651 - -6636. Which is the second biggest value? (a) -2 (b) -2\/7 (c) o (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)\/(p*p*(p\/p**(-4))\/p)*p**(-1\/2)\/(p**3\/p))\/((p**(3\/4)\/(p\/p**(-6)))\/(p**(1\/2)\/((p\/(((p*p*p*p**3*p)\/p)\/p*p))\/p))) assuming p is positive.\nAnswer: p**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/3 + 355*b**3\/6 - 1691*b**2\/3 - 6293*b\/2 + 8085 = 0 for b.\nAnswer: -21\/4, 2, 15, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-2)\/((-2)\/(-25)). Let f = b + -14. What is the lowest common multiple of 3 + (-55)\/(-8 - -3) and f?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 greater than or equal to -404\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 22704407037 and 0.3636.\nAnswer: 22704407037.3636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 316*h + 325. Let y be s(-1). Put y, 2, -24 in ascending order.\nAnswer: -24, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + t**2 + t. Let p(f) = 24*f**3 + 39*f**2 - 12*f - 18. Let s(m) = 9*i(m) + p(m). Factor s(u).\nAnswer: 3*(u + 1)**2*(11*u - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 22*b + 109. Let u be x(8). Sort -5, u, 67, -4 in ascending order.\nAnswer: -5, -4, u, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.456144 grams in kilograms?\nAnswer: 0.007456144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6) - 5957\/(-69). Suppose -m - 76 + y = 0. Let c be (-27)\/(-6) - m\/20. Solve -2*x = -c - 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2175?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 9:05 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 11:53 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 29*p**4\/24 + 29*p**2 + 2*p - 10. Let a(s) = -46*s**2. What is a(w(r))?\nAnswer: -38686*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*x - 23, 4*h = -3*x - 0*x + 37. Let i = 16 - x. Suppose -i*v - r = -91, -r - 10 = -3*v + 51. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30075 or -30077?\nAnswer: -30075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Let k be (-22)\/(-209) + 1 + (-74)\/(-19). Suppose 3*o = -k*n + 30, 0*n = 3*o - 2*n - 9. Solve 0 = w - l*y + 11, 4*w - o*y + 0*y = -35 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-8)*q*q*q)\/q**4*(q**(-2))**(9\/7) assuming q is positive.\nAnswer: q**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7688 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*v - 18*v - 24*v + 14*v + (-2 - 2*v + 2)*(2 - 5 + 5).\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skmym. Give prob of picking 1 y, 1 m, and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 406983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.8 - 2. Let h be 1 - ((-13)\/(-11))\/1. Let w = 94\/65 + -24\/13. What is the smallest value in w, i, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/3427 - 311875\/30843. Let m = d - -9. Does 0 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 115.45811588?\nAnswer: -110.45811588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3 - 447*d**2 + 1320*d - 876 = 0. Calculate d.\nAnswer: 1, 2, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (-2*2*(-2 + sqrt(1300) + -1))**2 + -1).\nAnswer: -3840*sqrt(13) + 83776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 25*t + 49. Calculate w(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2607 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + 1.2. What is the third biggest value in x, -12, 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(6) + -1)**2 + 5.\nAnswer: -2*sqrt(19) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -15, 5 in decreasing order.\nAnswer: 5, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025693.\nAnswer: 1025693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -6)\/(55\/(-10) - -4). Suppose z*g = g + 141. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348227 is divided by 24822.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74508*x = 74389*x - 2380 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143988763?\nAnswer: 23, 6260381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110011 (base 2) to base 3.\nAnswer: 11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7954 take away 0?\nAnswer: 1.7954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = r + 2, -4*p = -4*r + r - 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(1377) - (sqrt(1377) - -2*(-3*sqrt(1377) + sqrt(1377)))) + sqrt(1377) + (4*3*sqrt(1377) - sqrt(1377)))*6)**2.\nAnswer: 63452160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 4, q: 1, l: 2, v: 3}. Give prob of picking 1 q and 2 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 4*h + 11 + 5, 2*h = 2*b - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2407969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9265 - -305?\nAnswer: -8c60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 101.559042ms?\nAnswer: 0.000001175451875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264991 is divided by 1697.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -25. Suppose -20 = -z - 5*w, -3*w + 7*w - 16 = d*z. Solve 2*n - n - 5 = z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -3\/8, 175, 0, 0.98?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9214229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6746 is divided by 130.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -443 - 238. Let l = -117 - h. Calculate the remainder when l is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 52 = -a, 236 = 5*a + 2*g + g. Suppose 24 = -a*v + 51*v. What is the second derivative of 21*t**5 + 27*t - v*t + 2*t**5 wrt t?\nAnswer: 460*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haaxxixhaiax. What is prob of sequence ha?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + ((-182)\/6)\/13. Suppose -3*u - 2*u = -20. Which is the third biggest value? (a) -4 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 + 51.07. Which is the third biggest value? (a) -3 (b) m (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-120))\/(-7)*-6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22 - (-1)\/(4\/24). Factor -t**2 + 20*t - 3 + q*t + 29 + 26 - 3*t**2.\nAnswer: -4*(t - 13)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 7:52 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxuv. Give prob of sequence ux.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-2)\/(-2) - 612\/309. Is 1 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(8) + (sqrt(8) - sqrt(1536)\/sqrt(3)) + sqrt(8))*-2)\/(4*(1*sqrt(3072))\/sqrt(12)))**2.\nAnswer: 25\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*c - 8 = 0, p - c - 4 = -2*p. Suppose 4*m + 6 - 18 = 0. Suppose 95 + 41 = 2*q + m*l, p = 5*q - 2*l - 359. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393.\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 349584, 349556, 349504, 349416, 349280, 349084, 348816, 348464?\nAnswer: 348016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13, 69, 125, 181, 237?\n\"Answer: 56*o - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -418.151 and -1028502.\nAnswer: -1028920.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(192) + -1)**2 - sqrt(192)) + -3)*4 + (-2 + sqrt(6)\/sqrt(2) + -4 + sqrt(432)*1)**2.\nAnswer: -252*sqrt(3) + 1295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -287, -299, -323, -365, -431, -527, -659?\n\"Answer: -t**3 - 5*t - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 12 = -13*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 + 0 + 0 - 2*f**2 + 2*f**2 - 2*f**2 + (-f + 5*f - 5*f)*(-2*f + 0*f + 3*f + (0 - 3 + 1)*(f + 0 + 0) + 74 + 10*f - 74).\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -26662 rounded to the nearest one hundred?\nAnswer: -26700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*f**6 + 15*f**2 - 20*f**2 - 28*f**6 wrt f?\nAnswer: -4320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -1\/3, 70, 7, 0, -2\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -16. Let u be (44\/10)\/((-14)\/(-20)). Let b = u + -97\/21. Which is bigger: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204031 (base 8) in base 10?\nAnswer: -67609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 3*s - 12336, -23*c + 20*c + 5*s = -12376. Is 23 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 6:59 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -7*q**4\/12 + 3*q**3 + q**2. Suppose -8*t + 11*t - 2*a = -10, -2*a + 16 = -4*t. What is the hundreds digit of p(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.07, 0.38, 40, -1747?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*n - 48. Suppose 2*d = g - 23, 3*d = -2*g + 5*d + n. Solve g = 6*v - v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -4, 123 in decreasing order.\nAnswer: 123, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1534553006.\nAnswer: 2, 7, 2543, 43103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*p + 229, -5*h + 4*p - 259 = 28. Let l be h*(-900000)\/(0 - 3). Round l to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 11:17 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 122572479 divided by 687?\nAnswer: 178417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5756323?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 37 + (-26 - (840\/160 - 14))\nAnswer: 79\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3*o - 9 = 2*o, k + 6*o = -11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33943\/2611*-74*3\/(-78).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {x: 7, m: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 14*m - 6. Let c be p(-10). Let h = -19 + c. Solve -h = -3*f - 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -289344 + 172302. Suppose 48827 = g - 12215. Let b = x + g. Round b to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 12 = b - 79, -3*b - 5*k = -161. Solve m - 48 = 2*s - b, -4*m = -5*s + 44 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jinckcj. What is prob of sequence cn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gagqjxgajj. Give prob of picking 2 j and 1 q.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 255, 248, 237, 222?\n\"Answer: -2*w**2 - w + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72\/17 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*g - 20 = 0, -4*a - 2*g + 41 - 23 = 0. Solve 3*k - 7*k - 2 = -2*s, -a*s + 15 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -50*h**3 - h**2 + 1. Is q(-1) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -21 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 7*y**3\/6 + y**2 + 2*y. Let v be t(-1). Let b(z) = -z**2 - 6*z - 7. What is b(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4429829000 to the nearest integer?\nAnswer: 66557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**10))\/a**(-3\/2))\/(a**(-11)\/a*(a*a*a*a\/(a*a**(-3\/11))*a)\/a) assuming a is positive.\nAnswer: a**(445\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 341510 less than or equal to 341431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 64. Let r be 36\/s + 3 + 119 + -1. Find the third derivative of r*j - 115*j + 6*j**3 + 12*j**2 wrt j.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2))\/((-14)\/1692). Let q = d - 181. Find o such that q*o**2 + 2\/7*o + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/1868 - -64431\/9340. Let f be 34\/(-3)*(-9)\/7. Let b = -58\/21 - f. What is the common denominator of b and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/((sqrt(432) + -3*sqrt(432) - sqrt(432)) + sqrt(3)).\nAnswer: -sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 1. What is the units digit of b(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3708)\/(-12360)*2\/((-32)\/20)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)\/(sqrt(10) + (sqrt(10) - sqrt(50)\/sqrt(5)) + sqrt(10)))\/(sqrt(250)*2 + sqrt(10)) + -2.\nAnswer: -2 + sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.2 + 18. Let l = 0.8 - h. Let m = -6.3684 - 0.6316. Which is the closest to -1? (a) 2\/9 (b) l (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1385 + 1380. Put 5, -3, 4, g in descending order.\nAnswer: 5, 4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p + 5. Determine z(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 2*g**2 - 2*g + 2. Let r be (2 + -3)\/(1\/(-2)). Suppose -2 + 4 = 4*s + r*o, -4*s + 2*o + 22 = 0. What is the units digit of p(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/4*(1120\/(-48))\/(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from ppggpppppggpppppppp.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l - 3*l - 3*l)*(81*l**3 - 31*l**3 + 20*l**3) to c*l**4 + s*l + y*l**3 + r*l**2 + d and give c.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 14596 + 5*g**2 - 159*g - 7315 - 7281 as a*g + d + p*g**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oov when three letters picked without replacement from {o: 4, v: 2, y: 6}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2. Let v(m) be the first derivative of -359*m**3 - 266. What is y(v(f))?\nAnswer: -1159929*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 j, and 1 u when four letters picked without replacement from jjjujjjujjyuyjuu.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 325 and 6017600.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 0*a - a, 5*a = 4*j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3976 or -3974?\nAnswer: -3974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6131016?\nAnswer: 2, 3, 17, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -10\/3*x**3 - 36*x + 1\/2*x**2 + 10. Let p(f) be the first derivative of t(f). What is p(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 7. Let u(m) = 9*m - 8*m - k + 3. Let f(z) = 2*z - 4*z - 2*z. What is f(u(o))?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -157741599\/214160 + -11452\/2677. Let u = n - -3722\/5. What is the common denominator of -45\/14 and u?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**13*(s\/((s**(8\/5)\/s)\/s))\/s*(s**(2\/5))**(1\/28) assuming s is positive.\nAnswer: s**(939\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*h + 339*h + 5929 = -259*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((414\/(-184))\/(10\/(-16)))\/(-2)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/8 and 81\/356384?\nAnswer: 356384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -308 smaller than -436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 158 (b) -2\/9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -169 + 243. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.6 (b) -1\/5 (c) -4 (d) 5 (e) 398\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/5 (b) 0.4 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887*g = 1404*g - 27401 for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122202323 + -10?\nAnswer: 122202313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1548 divided by -4?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7699*i - 15522. Give g(-2).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -418.763 + 419. Let g = j + -0.23700514. Round g to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(1\/3)*j)**(2\/11))**49 assuming j is positive.\nAnswer: j**(980\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135836.\nAnswer: 2, 29, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -2 - -2*1. Let g = 4 - i. Which is smaller: -3\/7 or g?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 241 divided by -1\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2162 = -66. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxcxc. Give prob of sequence xcc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 64 = -28*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a factor of 883777509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251, 500, 749, 998, 1247, 1496?\nAnswer: 1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -123 - -119. Suppose -4*g + 3*l - 10 = 0, -g - 4*l = 11 + 1. Let m be 5 - (-4 - -9) - g\/(-14). Which is the closest to -0.2? (a) 1 (b) k (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - -8530322?\nAnswer: 8530286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1385)\/(-1662)*(-27)\/(-45))\/(49\/(-2)).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 7\/66?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 478641276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 + -1.4. What is the fourth smallest value in -1\/7, 0.1, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**2 - 235*t + 156. Determine g(35).\nAnswer: -719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -202, -0.7, 4, -1454?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 6*d + 17. Let f be n(8). Let u be (f\/(-2))\/(6\/(-44 - 4)). Let x = 5 - 8. Put -6, u, x in ascending order.\nAnswer: -6, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6869*u**2 - 2*u + 2. Let d be w(1). Let l = -20269 + d. What is l rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2255, -4518, -6781?\nAnswer: -9044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 12*m**2 - 19*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 1690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10897 = 12324*d - 12630*d + 5015 for d.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**7\/5880 - d**6\/140 - 13*d**5\/280 + d**4\/6 - 3*d**2 + 7*d. Let j(z) be the third derivative of u(z). Solve j(l) = 0 for l.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -2*r. Suppose 0 = 3*w - r*w - 203. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-25)*(-875)\/(-75)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*v**2 + 5*v**2 - v**2)*(-31*v + 19*v + 21*v)*(0 - 1 + 4) to z + u*v**3 + q*v**2 + i*v and give u.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: f25ba (base 16) to base 15\nAnswer: 1491ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 909.6628l to millilitres.\nAnswer: 909662.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -0.0317?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(-4 + (sqrt(405) - sqrt(405)*1))*5)**2.\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(h**3 - h**2 + h**2) + 4*h - 2*h**3 - 4*h - h**3 + h**3 + 2*h**3 + 21*h**3 + 200*h**2 - 200*h**2.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31141 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/(n\/((n\/((n**8*n)\/n))\/n)))*n*((n**(-3)*n)\/n)\/n*n)**(-15)\/((n*n**(-1)*n)**(-8\/3)*(n**3\/n)\/n**6) assuming n is positive.\nAnswer: n**(-250\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5143357787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 213 - -3021. Let w = 884 - m. What is w rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.034 and -11.\nAnswer: -0.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5\/3 + 14*z**4\/3 - 12*z**3 + 40*z**2\/3 - 16*z\/3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 20*d + 69. Give g(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(49)*2)\/sqrt(7))**2 - sqrt(7)) + (sqrt(252) + -1)**2)*-2 - (0 + (sqrt(252) + sqrt(252) + -1)**2).\nAnswer: -1571 + 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -13 + 10 - 51\/30*-2. Determine c so that -4\/5 - 2\/5*c**4 - r*c**3 + 6\/5*c**2 + 2\/5*c = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1468878165.\nAnswer: 3, 5, 397, 27407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 2, -11, -3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446345668.\nAnswer: 2, 111586417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*a - 55, 0 = -2*a - 5*x + 8 + 29. Let z be 25872\/55 + a\/10. Suppose 0 = -2*f - f + z. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566830091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 590.8348 years?\nAnswer: 7090.0176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60980 by -4.\nAnswer: -15245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2270, -2264, -2246, -2210, -2150?\n\"Answer: h**3 - h - 2270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10*h - 4*h**2 - 4 - 7 - h. Let k(o) = 2*o**2 + 6*o + 6. Let l(d) = 11*k(d) + 6*w(d). Let c(g) = g - g + 2*g - g. Determine c(l(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23093 - 66?\nAnswer: -23119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**6 + 206*n**5*u**2 - 2*n**2*u**2 + 3*u**2 - 108 wrt n?\nAnswer: -240*n**3 + 12360*n**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/15 + 2888\/(-60). What is c rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 18 = 5*i + 3*z, 4*z - 20 = -4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/(-184)*2\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -555 (base 8) in base 2?\nAnswer: -101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2693? (a) 0.2 (b) -4.1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.6286 to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 31 = -h, 212*h + 220*h = 5*c + 434*h + 58 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2 - 2.8. What is the smallest value in -4\/7, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2104223 - 2?\nAnswer: 2104221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**3 + 2*g**2 + g. Let r(z) = -z**2 - 15*z - 29. Let v be r(-11). Suppose v = a + 16, -3*n + 4*a = -1. What is i(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 363142263 to the nearest integer?\nAnswer: 19056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1755\/(-390)*4*2\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o**3 + 3*o. Let g(u) = -174*u - 1745. Let b be g(-10). Let s(h) be the second derivative of -h**5\/20 - 3*h. Give b*s(r) + a(r).\nAnswer: -2*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 2)*(-460*p - 10*p**2 + 3*p**3 + 460*p).\nAnswer: 9*p**3 - 30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -9. Let w(p) = -3*p + 7. Determine w(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4106249872?\nAnswer: 2, 10771, 23827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -15*u. Let c(w) = w**2 + 8*w - 14. Let f(p) = 5*p - 9. Let x(m) = 5*c(m) - 8*f(m). Calculate t(x(o)).\nAnswer: -75*o**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z. Let p = -339 - -342. Let t(d) be the second derivative of 0*d**2 + 0 + 2\/3*d**p + 8*d. Calculate g(t(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(7) + (sqrt(21)\/sqrt(3) + 2 - sqrt(7)))**2.\nAnswer: -6*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5793\/(-207)*(-2 + 8). Let q = 168 + t. Is q equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361115\/15 + (-24)\/(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5789\/218 + -6\/109. Find the common denominator of 109\/192 and x.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2028 and -98.\nAnswer: 198744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 7:29 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3 - 636\/216)\/((-3010)\/(-21)) and 119\/430?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i + 11. Let z = -23 - -28. Let p(v) = 4*v + 7. Give z*d(a) - 8*p(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-3 + 4 - -1). Suppose -d + o*d = 8. What are the prime factors of 49\/d + (-3)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/37? (a) 5 (b) -2\/13 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117062696.\nAnswer: 2, 31, 472027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-21))\/((-11)\/3)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/5)*w)**(7\/10)\/(w**(-1\/2))**20)\/((w**(2\/3)*w*w*w)\/(w**5*w)*w*w\/(w\/w**4)*w*w*w\/w**(-5)) assuming w is positive.\nAnswer: w**(131\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 14. Let f be d(10). Let z(j) = -j**3 - 5*j**2 - 4*j + 4. Let y be z(-4). Calculate the greatest common divisor of y and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4)\/r**(7\/5))**32)**(-1\/69) assuming r is positive.\nAnswer: r**(88\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 16. Let y be 12\/i*730\/4. Calculate the common denominator of 15 and 2\/6 - y\/30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 25\/2 of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-5))\/((-7)\/((-420)\/8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 944, 1883, 2808, 3713, 4592, 5439?\n\"Answer: -r**3 - r**2 + 949*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -168522 and -168521 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3\/5 (b) 17 (c) -37 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -15 - 6*y + 2*y**2 + 17 + y. Let q be i(3). Suppose z + 5 = 0, -q*z - 15 = 4*v - 2*v. Solve 3*f + 3 = h - 0*f, v = -5*f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -272*u**3 + 1. Let q be s(-1). Calculate the common denominator of 1*(5 + -7 + 59\/(-3)) and (q\/14)\/(-13)*(-8)\/(-50).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 - -96. What is the smallest common multiple of w - ((-36)\/2 - -2) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152747?\nAnswer: 3, 349, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 4. Let m be (46\/(-69))\/((4\/402)\/(-1)). Let j = m - 67. Sort n, 4, j, -2.\nAnswer: -2, j, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 416*s - 2877. Give y(7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -30. Find the second derivative of -5*f - m*f + 4*f - 9*f**5 wrt f.\nAnswer: -180*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2900*k**3 + 36952760*k**2 + 117714800896*k - 8118437888.\nAnswer: 4*(5*k + 31856)**2*(29*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8003 - -8037. Calculate the remainder when 101 is divided by y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24642 + -24635. Let q = 11 - 7. Suppose -2*o - 44 = -3*o + 4*z, o = -q*z + 12. What is the highest common divisor of i and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.05 - 0.05. Let q = -3 + v. Let u = -3.95 + -0.05. Sort 2\/3, u, q in descending order.\nAnswer: q, 2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 46\/5 of a century?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297.2021mm to kilometers.\nAnswer: 0.0002972021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17144.9 - -17145.057089. Let o = t - 0.157. Round o to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 + 0)*(-140)\/(-6). Let r = 250 - 256. Find the common denominator of (-2)\/r + (-1520)\/f and 35\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from {b: 4, e: 6, d: 7}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c - 4*c + 4*c**4 - 2*c**2 + 0*c + (0*c - 4*c + 6*c)*(5*c**3 - 4*c**3 + c**3).\nAnswer: 8*c**4 - 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(176)*-3 + sqrt(176) + sqrt(176) - sqrt(33)\/(sqrt(3) + (sqrt(15)\/sqrt(5) + sqrt(3))*2).\nAnswer: -81*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (0 + -1 + 6)) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001354 rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20154427037\/4361 + 4621515. Let p = x + 8842797\/109025. Let g = 81 - p. Is 0 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*c = 454*c - 899*c - 147 - 69 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(-3)\/(-84) - 76\/(-7). Suppose r*o = 1108 + 80. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3290 divided by -6?\nAnswer: 1645\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 608 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 (-13)\/(-3)*((-1224)\/476)\/(39\/91)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18536?\nAnswer: 2, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooff when four letters picked without replacement from {z: 2, f: 12, m: 2, o: 4}?\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88883 is divided by 2867.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264677 at least as big as 1264682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i**(-11)\/i)\/i*i*i\/i**(11\/5))\/(i**2)**(-2\/21) assuming i is positive.\nAnswer: i**(-1261\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1963 is divided by 220.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*m**3 + 6*m**2 - 3*m - 336 + 14*m**3 + 337 + (-m**2 + 2 - 2)*(-2*m + 5*m - m) to the form q*m + w + u*m**3 + r*m**2 and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (4 + -3 + 2 + 34 + 5).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 15*o**2 + 7*o - 7. Is h(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4081*c**2 - 3619 wrt c?\nAnswer: 8162*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*m = -793 - 417. What is the nearest to -50 in m, 0.2, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 10*n - 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.88 and 26.8?\nAnswer: 18.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811622 >= 1811622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 m when three letters picked without replacement from mmmmmkmmkmkmmm.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/36)\/(3\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/90*-3*3\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(3*5\/(-15)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, -15, 3, -2819, -0.03, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.78463km in micrometers?\nAnswer: 95784630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 138300.\nAnswer: 1244700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 324491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.9 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-750)\/(-240))*8\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**5\/7 - 4*j**4\/7 + 30*j**3\/7 - 8*j**2\/7 - 40*j\/7 = 0.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-8)\/(-4)))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*g = 124*g + 124*g - 332. What is the greatest common divisor of g and 7138?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145889106 + 0.2.\nAnswer: 145889106.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + x)*(-40*x + 38 - 38).\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2374793 = 60*q - 1038727. What are the prime factors of q?\nAnswer: 2, 3, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 2. Suppose p*m - 25 = -m. Let o(j) be the first derivative of j**3\/3 - 3*j**2\/2 - j + 3. Give o(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -26, -3\/8, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from jjjjpjppjyyj.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80918?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 0 + 26*m - 1\/12*m**4 + 0*m**2 - 49\/6*m**3. Find the second derivative of b(t) wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 4:02 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 45*x - 11. Suppose 177 = 10*g - 43. Let z(q) = -8*q + 2. Let c(o) = g*z(o) + 4*n(o). Let h(a) = -18*a + 3. Calculate h(c(u)).\nAnswer: -72*u + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -49\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6b - 2?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 2\/477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 722581517?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 5\/3, 0.1, -2\/11 in decreasing order.\nAnswer: 5\/3, 0.1, -2\/11, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30.1 and 2.\nAnswer: 60.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5 - l**2 - 3 - l**4 + 8. Let i(t) = 5*t**5 + 2*t**4 + 2*t**2 - 8*t. Let m(n) = -2*a(n) - i(n). Find the second derivative of m(c) wrt c.\nAnswer: -100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 37638, 5, -2\/5, -16, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1346)\/11)\/(-2) + 4\/(-22).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 516 by -14.\nAnswer: -258\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -427.5 + 0.1?\nAnswer: -427.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 20) + -30 + 30.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 18912256, 5, 0 in descending order.\nAnswer: 18912256, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2))\/((-1530)\/3672)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**4\/24 + o**3\/2 - 3*o**2. Let h be p(0). Let w = h + -2. Sort -4, 4, w in increasing order.\nAnswer: -4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 81 = -3*o - 3*k, -4*o - 2*k = -366. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.2 equal to -300.041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 916363*u + 4581817. Give i(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 7:35 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -222, -468, -726, -996, -1278, -1572, -1878?\n\"Answer: -6*k**2 - 228*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 + 5*v**2 - 4*v + 4. Let p(r) be the first derivative of r**2 - 17*r + 14. Let i be p(10). List the prime factors of l(i).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7723 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11302 + -11?\nAnswer: 11231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 6*z**2 - 6*z + 2. Let u be f(-7). Let t(h) = -4*h**2 + 5*h - 2. Let k(r) = 7*r**2 - 9*r + 4. Calculate u*t(a) - 3*k(a).\nAnswer: -a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50417216 to the nearest integer?\nAnswer: 7101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 1. Let u be -12 + 14 + (1 - -1). Let f = 8 - u. Suppose 21 = -5*z + 3*c, 0*c = 2*c - f. Determine h(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1360014 is divided by 886.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 6957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2245 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-2)*-2 + 3 + -2. Suppose -3*b + g = 3, 4*y - 2*b - 204 = 0. Is y a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**37*((((s\/s**(-2\/41)*s)\/s*s)\/s)\/s)**(-13\/4) assuming s is positive.\nAnswer: s**(-13\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -430 (base 8) to base 2\nAnswer: -100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*m - 2076 + 9*m + 12*m - 13*m - 19*m to v + l*m and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1620210553\/43772076 - 1\/1287414. Let l = u - 37. Let j = l - 103\/68. Which is smaller: -3 or j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*n - 570, -2*n + 246 = x - 136. Let b be (-1)\/(((-4)\/n)\/((-4)\/(-8))). Solve -26*m + 4 = -b*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*c + 8. Solve 5 = c*z - 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -34*i**4 - 503*i**2 - 3*i - 3. Let l(y) = 168*y**4 + 2514*y**2 + 14*y + 14. Let b(k) = -3*l(k) - 14*t(k). What is the third derivative of b(u) wrt u?\nAnswer: -672*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3130766757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1553506272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 8:00 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2443 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7333*i + 1680432 = -8825*i for i.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55290799237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -13*k**2 - 6*k + 6. Let f(p) = -9*p**2 - 4*p + 4. Suppose -3*u + 2 = 23. Suppose 2*x + 3 = 11. Suppose -20 = -x*r - 0*r. Determine r*g(b) + u*f(b).\nAnswer: -2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*m + 0 + 0)*(3*m - m - 5*m**3 + 7*m**3 + (-2*m**2 - 3*m**2 + 4*m**2)*(-4*m + 4*m + m)) to the form h*m**4 + y + g*m**3 + u*m + a*m**2 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n - 2352 - 3632. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 156459 - 156454. Let 18\/5*f**l - 174\/5*f**4 + 288\/5*f - 8 - 666\/5*f**2 + 542\/5*f**3 = 0. What is f?\nAnswer: 1\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -111\/2 (b) -0.4698 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6033 minus -5?\nAnswer: -6028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**3*s**3 + 3*l**3*s - 51203*l**3 + 5*l*s**3 + 7029*l wrt l.\nAnswer: -6*l*s**3 + 18*l*s - 307218*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2)*b\/b**(1\/7)*b**(-2\/33)\/b*b**(-2\/7))**(7\/11) assuming b is positive.\nAnswer: b**(-457\/726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 4*t**2 - t**2)*(0*t**2 - t**2 + 14*t**2).\nAnswer: -26*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108552 and 1224.\nAnswer: 5536152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -2) + (-104)\/(-2 + -6)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.3, 1\/3, -5, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 134198274 and 87654.\nAnswer: 134198274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + i + 2 = 0, -s + 0*s + 15 = 3*i. Solve 8*m = s*m + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anwgxoaooaxww. What is prob of sequence aaa?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*w - 130 = 0, -2*w = -6*w. Suppose -6*b = -61 - 89. Calculate the remainder when b is divided by s\/(-2)*1*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 3*i - 5. Let m be n(2). Let w = 13 - m. Let z = -0.41 + 0.01. What is the nearest to -1\/5 in z, w, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 - -33 - (0 + -3) - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.61, -2\/5, -2, -40\/53?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65272591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 278531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -3 (c) -15 (d) -2 (e) 2.7 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10223 (base 4) to base 11\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 113 = 22. Let a be 1*-16 - (2 - 1). Let k = a + y. What is the lowest common multiple of k and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 128 = -o, 0 = 5*o - 10*o - 5*t + 615. Calculate the remainder when o is divided by ((-14)\/(-4))\/(41\/164).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 5 - 1 + 4 - 6 - 7*i**2.\nAnswer: -7*i**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*y + 18, 5*y + 55*q = 54*q - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*i**2 + 5*f*i + 1419*f + 217*i**2 - i + 2 wrt f.\nAnswer: -2*i**2 + 5*i + 1419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110110111 + 11110001100100?\nAnswer: 100111000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 2)*(13 - 21 - 34)*(2*a**3 - 2*a**3 - 2*a**3) in the form r*a + n*a**2 + i*a**3 + j and give i.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -618 - -619. Suppose 5*o + 24 = -s, -2*s + 2 + 0 = 0. Let k = -3 - o. Sort k, -5, f in increasing order.\nAnswer: -5, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 + (-4738)\/138)*(-12)\/(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5 (b) 2\/7 (c) -1\/8 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 34780.2613 to the nearest one hundred.\nAnswer: 34800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**5\/20 + x**4\/6 - x**3\/3 - x**2\/2 + 19*x. Suppose 0 = 3*g + 5*a + 11, -4*g - 8 = -0*g + 5*a. What is f(g)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2352\/(-96)*(-1 - 3\/21) and 260?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-three halves of a microsecond?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3185 less than 3179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**2\/5 - 32\/5 = 0.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99305, -198589, -297873, -397157?\nAnswer: -496441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 8*j + 15. Let m be c(9). Suppose 8 = g + m. Suppose 20 = 5*l - g*k - 72, l = -2*k + 16. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -28*q + 247. What is l(7)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwdw when four letters picked without replacement from {d: 3, w: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3538 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.79181 - -81541\nAnswer: 81541.79181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**2. Let u be 2\/2 - 0 - -32. Suppose 195 = -9*s + 14*s. Let t(m) = -s*m - u*m + 74*m. What is t(k(l))?\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -217, 93 in increasing order.\nAnswer: -217, -7, -1, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1650\/(-1210))\/(12\/(-33)))\/(2\/8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 0 - 4 + 4 + 4 - 3 + (-3 - 2 + 3)*(4 - 1 - 4) - 3 + 2 + 0)*(10*n + 6*n + 0*n) in the form i + b*n and give b.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 223*a - 2. Let z(q) = -18 - 11 + 3*q - 16 + 45. Determine v(z(g)).\nAnswer: 669*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218066*c + 44339*c + 49352*c.\nAnswer: 311757*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.245424 - -2.945446. Let d = l + -2.7. Round d to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 266 by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 + 115*a**2 + 57*a + 51. Calculate c(58).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -1. Suppose -4*d + g*j = -95, d - j - 29 = 2*j. Let m(w) = 2*w. Let n be m(4). What is the highest common factor of n and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -57\/13957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 308653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 2*s**2 + 12. Let q(k) = -k**3 + 16*k**2 - 60*k + 675. Let r be q(15). Calculate n(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 848079.5mm?\nAnswer: 848079500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -109, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*o + 17*o + 32*o + 32*o + 81*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 282030 and 2975.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4\/5 + 118*c**3\/5 + 232*c**2\/5 = 0. What is c?\nAnswer: -116, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 86304.\nAnswer: 1\/21576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 2493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3449, -6922, -10425, -13964, -17545?\n\"Answer: -x**3 - 9*x**2 - 3439*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 1, t: 1, z: 6}. What is prob of sequence mz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -215.5 - -218.5. Which is the third biggest value? (a) r (b) -5.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1\/8 (b) -2\/7 (c) 4 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -236850, -473809, -710772, -947739, -1184710?\n\"Answer: -2*i**2 - 236953*i + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -280*g**2 + 1. Let l(f) = 377*f**2. Calculate r(l(k)).\nAnswer: -39796120*k**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/25)\/((-8)\/10). Let m(k) = 8*k - 51. Suppose 11*u - 25 = 41. Let z be m(u). Which is the biggest value? (a) z (b) -3\/2 (c) s (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -212354232 + 115?\nAnswer: -212354113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 17\/2. Let g = -398.5 + 398. Which is the nearest to 25? (a) w (b) g (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (24\/84 - (-374)\/14). Suppose 2*t - 7 = 4*o - 21, 2*o = 3*t + 5. Suppose 3*s + 2*r = -81, 8*r - 13 = s + o*r. Which is smaller: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5084301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**4\/24 - 33*z**2. Let k(b) = -b**2 - 5*b + 2*b**2 + 1 - 3*b**2. Determine -k(j) + 6*m(j).\nAnswer: 2*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 162513466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(52)*-3 + (0 + sqrt(39)\/sqrt(3))**2 + 4*-2*sqrt(208).\nAnswer: -38*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42583806 a multiple of 1567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -110 + 110 - 44*t**2. Let z(n) = -5*n**2. Give q(z(b)).\nAnswer: -1100*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.57375243 rounded to zero dps?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19549\/7 bigger than 2793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 33*d + 11. Let h(q) = 1. Calculate -22*h(t) + 2*u(t).\nAnswer: 2*t**2 + 66*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-3 - -5))*5035\/265.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*c**3*i + 2*c**3*p - c**2*i - 7*c*i*p - 2*p wrt p.\nAnswer: 2*c**3 - 7*c*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8*h + 0)*(0 + 0 - 1).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 11*t + 1\/2*t**2 + 71\/3*t**3 - 9. Is j(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1007 divided by -53.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738.834 minutes to hours.\nAnswer: 12.3139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 27*w - 22*w + 44, -32 = -2*d + 2*w. Let a = 13 - 11. Calculate the least common multiple of d and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-10))\/((-7)\/(-35)). Let f = j + 8. Let w = 10 - -1. Calculate the remainder when w is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 3)*(7 - 2 - 2)*(-11*k - 14*k + 12*k).\nAnswer: -195*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 39. Sort j, 0, -2\/3.\nAnswer: j, -2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-3) - 5\/((-10)\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*h - 3*j + 7, 9 = h + j. Suppose -h*d + d = 3*c - 1830, -3*c - 618 = -d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7140)\/2380*(-6)\/8?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 5 - 5 + f**3 - 14*f**2 to y*f**2 + l*f + r + p*f**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 0 + (-61 + (-23 - 2) - (-2 - 9))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -4 - (0 + 5 - -4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 19 = 5*o, 2*c + 4*o + 3 + 21 = 0. Is 1\/((-3)\/78*c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46606 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*t**4 + 1109*t**3 - 80884*t**2 wrt t.\nAnswer: -648*t + 6654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**3 + 52*l**2 - 107?\nAnswer: 3*l**2 + 104*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 588 and 20?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 908251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11805 - -11810. Solve j + 17 = -y*x, 3*j - 5*x = -1 + 30 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5491 (base 12) in base 8?\nAnswer: -22155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 4*m + 88, -3*g - m - 32 = 14. Are g and -17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 34 + 52 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 720301680?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-20)*(-815)\/978?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 7. Let u = 10 - p. List the prime factors of (-3)\/u*3*-9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2\/9, 12, 0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**0*o**(-5\/7)*o**(-5)*o\/(o\/(o**(-10)\/o)) assuming o is positive.\nAnswer: o**(-117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 84934849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/4 + 32961*v\/4 + 41220.\nAnswer: -3*(v - 10992)*(v + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5, 0*f - 532 = 2*f - 2*t. Let j be 6\/15*(-5 + f). What is the units digit of ((-1)\/3)\/(3\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 590157 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -7 (b) -0.3 (c) -747322 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/88*700\/1225?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5320 and 1540?\nAnswer: 58520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*j - 11 = 1555, 2601 = 5*t - 2*j. Suppose 0 = -2*n - 4, -5*z = -n - t - 338. List the prime factors of z.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 16*s + 34. Let q be o(-14). Suppose 27*h - 2651 - 859 = 0. Calculate the remainder when h is divided by 266\/q - (-6)\/(-18).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8614, -34582, -77902, -138574, -216598?\n\"Answer: -8676*o**2 + 60*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6502675357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -43*f**2 - 304*f + 38. Let n be p(-7). Solve 0 = 27*m - n + 275 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 36*w**2. Let k(d) be the second derivative of d**4\/6 + 17*d. Give k(p(r)).\nAnswer: 2592*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -22*s + 307. Suppose -s*u + 4 = -13*u. Let j be (-5)\/(-2) - (-2)\/(-4). Solve 3*f - t - j = 0, f + u*t - 5 = -2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {b: 2, u: 3, x: 6, s: 2, e: 6}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phhhppphphhghphhg. Give prob of sequence gp.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 113565561*k**2 - 113565564*k.\nAnswer: 3*k*(k - 1)*(k + 37855188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.4, -4.835, 316, 3, 2 in increasing order.\nAnswer: -4.835, 0.2, 0.4, 2, 3, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.0748 - 6.1. Round f to 3 dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.3+-21\nAnswer: -16.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**3 + h + h**2 + h**2 - 2*h**3 - 5*h. Suppose -5*q = -5*v, -5*v - 2*q - 15 - 6 = 0. Let a be p(v). Solve s - 6 = -a*c - 2*c, 5*c = s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10121114 (base 5) to base 10\nAnswer: 82659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46271410 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + m**2 + 2*m**2)*(-263 + 646 - 219).\nAnswer: 328*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -521911, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + g. Suppose -3 = 10*w + 7. Let c(o) = -2*o**2 - 17*o - 12. Let f(p) = w*c(p) - 3*t(p). What is the smallest common multiple of f(14) and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4907852 to the nearest integer?\nAnswer: 2215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 563, 639, 775, 977, 1251, 1603, 2039?\nAnswer: 2565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400 + 1836 - 405 - 402 - 404 - 225 + 18*v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 417.1 + -417.6. What is the nearest to 0 in 0.23, -1, r?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = x - 22, -z + 2 = -3*x - 22. Let j(s) = -s + 3. What is j(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.35 - 0.05. Let s = 3 + g. Which is the second smallest value? (a) s (b) -0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.35 and -15617.\nAnswer: -5465.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -88c7 (base 14) to base 4\nAnswer: -11302033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 4*h**2 + 1 + 1 + 8*h. Let o(y) = y**2 - y + 1. Let f(n) = -m(n) - 4*o(n). Let v be 15\/(-2)*2\/(-3). Calculate f(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**7\/7560 - o**5\/90 - 35*o**4\/24 + 18*o**2. Let n(d) be the second derivative of z(d). Solve n(k) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + 4 + sqrt(405)\/sqrt(81).\nAnswer: 1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*q*z + 6987*q + 22*z - 13500 wrt q?\nAnswer: 15*z + 6987","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 579816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11442*g**2 + 11290*g**2 - 9*g**3 + 23*g**3 - 17*g**3.\nAnswer: -3*g**3 - 152*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163433069?\nAnswer: 97, 1684877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 445 and 2017.\nAnswer: 897565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2892 and 5784?\nAnswer: 5784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**5\/5 + u**4\/3 + u**3\/6 + 2*u**2 + 11*u. What is the units digit of m(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.29, 5, -3\/7, -5\/3, 4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.89 - -2.69. Let h = -82.13 - -83. Let a = h - 0.17. What is the closest to a in 1\/6, v, -2\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 722 + -720. Solve 6*i - 7 = 5*t + 2*i, -r*t - 3*i = -11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/5)*r\/r**(-1\/7)*(r\/(r**(-2\/5)*r*r))\/(r*r**(-8)*r))\/(r**(4\/7)\/r*(r*r**(5\/2)*r*r)\/r*r*r*r**3*r**2) assuming r is positive.\nAnswer: r**(-303\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 804662.1 millimeters to kilometers.\nAnswer: 0.8046621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/28 - 1251\/36) + 57 + -53?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**17*x)\/x*x**(-12))**1)**42 assuming x is positive.\nAnswer: x**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335993 is divided by 60?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 818377830 less than -1004?\nAnswer: -818378834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 c when three letters picked without replacement from {g: 15, c: 3}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3710 + 7770. Is 58 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 3*l - 6*l - 3*l - l + 3*l + 2*l - l + 0*l + (7*l - 3*l - 3*l)*(1 + 2 - 1) + l + 3 - 3 - 2 + 6 - 5 - 2*l.\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -6, -2, 1461, 1 in descending order.\nAnswer: 1461, 13, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 750 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.116231ml?\nAnswer: 0.008116231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.224, 183, 3?\nAnswer: -1.224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1661549594?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**(-7)\/o*o*(o*o*o*o**(-17)*o)\/o assuming o is positive.\nAnswer: o**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013536 to 4 dps.\nAnswer: -0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 6:27 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*x**5 + 8*x**3 + 23*x**5 - 42*x**5 + 13*x**5 - 29*x**5 - 77*x**5 - 2*x**2 + 2*x**2 + x**5 + (2*x**4 + x**3 - x**3)*(4*x - 5*x - x).\nAnswer: -95*x**5 + 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dca70b + 4?\nAnswer: dca711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, b: 7, q: 3}. What is prob of sequence bbq?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 102938057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 197*l - 195*l - 22, -4*o + 4*l = 44 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**2 - 16*f - 15. Let i be t(9). What is the third derivative of -7*u**2 - 2*u**i + 13*u**5 - 3*u**2 wrt u?\nAnswer: 780*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 4*d - 49. Calculate the remainder when 58 is divided by d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72112 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c - 42*c + f - 6 = 0, -3*f + 6 = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -7, 2, 4395 in descending order.\nAnswer: 4395, 4, 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 829, 1672, 2501, 3316, 4117, 4904?\nAnswer: 5677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 12*g**2 - 19*g + 5. Let q be c(-10). Let k be (42\/49)\/(q\/(-70)). Solve k*i = 9*i + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9942 + -676037\/68. Calculate the common denominator of b and -25\/3.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*r)*(21 + 14 - 11) to the form u*r + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304, 305, 306, 307?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/13 - 3271870*d\/13 + 3271868\/13.\nAnswer: 2*(d - 1635934)*(d - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-47)\/(-94) - 1\/(-2)). What is the hundreds digit of 55\/(-10)*-62 + p\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 4, i: 2}. Give prob of picking 2 q.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(32\/(-3)))\/((-12)\/4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a - 9*a + a**3 + 40*a**2 - 40*a**2. Let d be (-2)\/(4\/(-2)) + -5. Let g(h) = 5*h**3 - 11*h. Give d*g(k) + 22*f(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*q - 12*q - 12*q**3 + q**2 + 15*q + q**2 wrt q.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n + 20. Let y = n + -8. Suppose j - 15 = -y*j. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72201612 divided by -6?\nAnswer: 12033602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 1264\/7*g + 12\/7*g**2 - 848\/7 = 0.\nAnswer: -106, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1100, -1099, -1098?\nAnswer: -1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((2 + -5)*2)\/((-9)\/48). Let y = c - 22. Solve a = -a - y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 394, 785, 1174, 1561, 1946, 2329?\nAnswer: 2710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 26139993?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(567) + 3 - sqrt(28)\/(sqrt(4) - sqrt(16)*-2)*6)**2.\nAnswer: -78*sqrt(7)\/5 + 10672\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 7. Let o be n\/21*18\/(-6). Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666650035 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 28*r - 17. Let y(u) = 61*u - 34. Let m(l) = 13*i(l) - 6*y(l). Let h(f) = -f - 9. Calculate -7*h(g) + 4*m(g).\nAnswer: -g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 0.5, -0.02, -4, -1\/2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 4*b + 45 = -5*g, 2*b - 4*g + 18 = 0. Let r be 52\/(-4) - b - (-32 + 1). Calculate the greatest common factor of 675 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 (base 6) in base 5?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/31 in 2\/23, 1, -4, -0.3, 153.5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -82 and -1278.\nAnswer: -1360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - -3. Let w = d + -15.0122. Round w to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w - 2. Suppose -3*v + 5*g = -3 + 1, -2*g - 20 = 2*v. Let y(n) = 6*n + 1. Let l(r) = v*y(r) - 7*j(r). Let t be (-3)\/(-3 - 18\/(-8)). Give l(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -382 - -566. Suppose 0 = -4*z - 0*q + 2*q + 100, 0 = -5*z + 4*q + 131. What is the greatest common factor of f and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46951247069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -233*p + 2260. Determine t(10).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35.97266 + -0.02734. What is the closest to -8 in -1, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 3*x - 37. Let z be f(-5). Suppose -6*v = -v - z*y - 124, -3*v + 57 = 4*y. Solve 2*r = 4*t - r + v, -t + 4*r = 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/17 - 144292*m\/17 + 2602522658\/17.\nAnswer: 2*(m - 36073)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2418*v**2 + 2*v - 953*v**2 - 1453*v**2.\nAnswer: 12*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32632680 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2047477826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 2*t, 0 = -8956619*v + 8956603*v + 4*t + 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 17529*k - 2. Let b be y(2). Let r = b - 122349. Let g = r + 62293. Round g to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -167\/36060?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 36*t**2 - 688*t - 2064. Let h be f(-3). Suppose -3*m + 64 + 44 = 0. Calculate the greatest common factor of m and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 21, -1\/2, -2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118315072, 118315075, 118315078?\nAnswer: 118315081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3505524 is divided by 1710?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*q = -16, -3*j = 2*q - 17 - 7. Let h(i) = 3 + 3 - j*i + 3*i - 2. Let g be h(-2). Solve 2*y - 3*u = g, 0 = -y + 4*y - 2*u - 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -173*a. Let i(m) = -m + 2. Let n(p) = 2*p - 3. Let f(g) = g**2 - 12*g + 14. Let y be f(11). Let q(d) = y*i(d) + 2*n(d). What is s(q(k))?\nAnswer: -173*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*q - 4*q + 0*q + (3 - 3 - 2)*(-2*q + 3*q - 3*q).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = -79*l - 75*l + 1003 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 8*t**2 - 7*t + 155. Determine x(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-2 + (-21)\/(-14)))\/((-36)\/(-2232))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i - 6. Let w be 2 - i\/((-6)\/(-4)). Solve -c + w*c = 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 180*u.\nAnswer: -3*u*(u + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -228048423*w**5 - 2*w**2 + 6378981*w - 4 wrt w.\nAnswer: -13682905380*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 213 in 0.22, 0, 0.2?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 138520149342 and -1?\nAnswer: 138520149343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-2)\/((-8)\/(-6))). Suppose 0 = 2*h - 7*h. Suppose -y = 2*w + 5, h = -5*w + 2*y - 3*y - 17. Put w, -2, p in decreasing order.\nAnswer: p, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 9. Calculate x(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 4)*2775\/(-10). Suppose m = 4*f - y, -5*f - y = 3*y - 699. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370327, -740658, -1110991, -1481326, -1851663?\nAnswer: -2222002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 8*v**2 - 17*v - 14. Determine f(9).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*o + o. Let r be -1*o*3\/30. Factor 0*u**2 + 0 + r*u**4 + 0*u + 0*u**3.\nAnswer: u**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*f + 662, 4*u = -3*f + 751 + 246. Suppose -4*o = -5*r + f, r - o - 67 = 4*o. Let l = 97 - r. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 2:02 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -1, 8764.\nAnswer: -1, 2, 9, 8764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 973415.4mm?\nAnswer: 97341.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 1247?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7999 times -133?\nAnswer: -106.3867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 934953809 a multiple of 3779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10618118)\/(-464) + 7\/56?\nAnswer: 2, 3, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -0.254?\nAnswer: -2.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 12*g + 17. Let h be o(-14). Let i be (h\/(-4))\/(1\/8). Suppose -i + 31 = -j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 22*f - 42. Let h(b) be the second derivative of 1\/6*b**3 - 5\/2*b**f + 0 - b. What is the derivative of h(k) wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1631 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -12 - (15*28\/(-42) - 3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1745 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -177 + 174. What is the nearest to 2 in u, 5, 57, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 5*l + 6. Let a be s(-5). Let q(u) be the third derivative of u**6\/120 - u**5\/12 - u**4\/4 + u**3 - 3*u**2 - 13*u. What is q(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1566, -3366, -5166, -6966, -8766, -10566?\n\"Answer: -1800*i + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 295 - -636. List the prime factors of i.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 o, and 2 e when four letters picked without replacement from {c: 1, e: 3, o: 5, k: 5, b: 4}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q = 78 - 174. Solve 2*d = -10, -q*u + 22 + 0 = -2*d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164 and 159941.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i + 8 = 0. What is the least common multiple of i and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 258823.5 millilitres in litres?\nAnswer: 258.8235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*t + 8 = 0, 5*l - 2*t - t = 12. Let x(v) be the second derivative of -1\/30*v**4 + 2*v + 0*v**3 + 0 + 1\/75*v**6 + l*v**5 + 0*v**2. Factor x(n).\nAnswer: 2*n**2*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/13 (b) 0.2 (c) -0.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 53695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.02661ug to kilograms.\nAnswer: 0.00000003702661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1906)\/6 + (-18)\/6. Let z = w + 7609\/24. Calculate the common denominator of z and -53\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*q + 35, 0 = 3*q + 2*q + 5. Let g = j - -11. What is the remainder when g is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2801420\/69 > -40599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13114421 (base 5) to base 2\nAnswer: 11111100101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*v**3\/3 - 816*v**2 - 3068*v + 752\/3.\nAnswer: -(v + 4)*(v + 94)*(25*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -147*u**3 + 269 wrt u.\nAnswer: -441*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 262 and 70081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 295 - 295. Let j be ((-10 - -4) + 6)\/(1 - a). Let w = -4 + 12. Solve 0*n + 2*n - w = j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, t: 1, z: 1, x: 1, k: 1}. What is prob of sequence kzx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-4)\/(-6) - 1). Let d be v - (2 + -7 - 2). Suppose 0 = 3*z - 0*c - c - d, 0 = -2*z - 2*c + 20. Solve z*s = 2*u + 22, -5*u + 7 = 5*s - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - -8. What is the remainder when 25 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -119*w + 121*w - 4. Is w - ((-21)\/7 - 401) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i = 12. Let b(a) = 10*a - 3. Let f be b(i). Suppose f - 11 = j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*i - 4. Let m be (i\/5)\/(2\/(-10)). Suppose -m*l = 5*v - 80, 3*l = 4*v - 3*v - 16. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587486 is divided by 41892?\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -414753*y**3 + 765376*y**2 wrt y.\nAnswer: -2488518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 - a**4 + a**4)*(-49*a - 21*a + 4*a) + 4*a**4 - a**5 - 4*a**4.\nAnswer: 131*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - 16. Let z be (-3)\/f*(-105)\/14. Let m = -0.09 + 1.09. Which is the nearest to -0.1? (a) m (b) -3\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11550648, -11550640, -11550618, -11550576, -11550508, -11550408, -11550270?\n\"Answer: i**3 + i**2 - 2*i - 11550648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-42)*48\/64.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**2 - a + 4. Let u(d) = 5*d**2 - d + 3. Let t(z) = -6*g(z) + 7*u(z). Is t(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1182148887.\nAnswer: 3, 19441, 20269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 - 16*s**2 + 4*s + 32. Let z be k(-8). Suppose -2*b + 139 - 135 = z. Factor -3\/2*t**b + 0 + 0*t.\nAnswer: -3*t**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 5*k = -9 + 42, 0 = -4*p - 2*k + 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 6:53 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*o = -8, -2*w + 3*o + 4 = 2*o. Suppose w = -0*u - 2*u. Solve u*k = 4*k + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4131*c**2 + 2*c**3 + 4131*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Let y = -0.1733 - -169.2733. Let u = 169 - y. Which is the nearest to h? (a) u (b) -4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3110.0324 from 0.1.\nAnswer: 3110.1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c + 3*c - 2*c)*(3 - 4 + 0) + (0*c - 4*c + 5*c)*(-1 + 0 - 5))*(-c**3 - 3*c**3 + 5*c**3).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0.03 (c) -3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 755 - 769. Let u(a) = 6*a - 2. Let b be u(-4). Let t = o - b. Solve -6 = 5*h - 4*g, -2*g - t = h + 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**5 - 4*n**4 - 256*n**3 + 256*n**2 = 0. What is n?\nAnswer: -8, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15366, -15322, -15300, -15300, -15322, -15366, -15432?\nAnswer: -15520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/11)\/(1972\/(-319) + 6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) -10\/9 (b) -0.1 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqq when three letters picked without replacement from fffqffffffffffgfq.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2266 * 0.22.\nAnswer: -498.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*h - 34*h + 408273. What are the prime factors of h?\nAnswer: 3, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 1. Let o(s) = -6*s + 6. Let y(z) = -5*n(z) - o(z). Let b be y(3). Suppose b*v = -v + 6. Calculate the remainder when v is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 6*h + 2. Suppose 6*k + 0 - 16 = 8. Let y(z) be the third derivative of -z**4\/24 + z**3\/6 - 11*z**2. Calculate k*y(f) - x(f).\nAnswer: f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**5\/10 - z**4\/4 + z**2\/2 - z\/2 - 1. Factor m(n).\nAnswer: (n - 1)**3*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3*(6 - -6). Let x be u\/(-28) + (-40)\/(-7). Let c(d) = d**2 - 6*d - 4. Let n be c(x). Is n at most as big as -9\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*p + 2*o = -32, -5*p + 192 = -2*o. Let g(a) = a**2 - 16*a - 1. Let y be g(16). Let j be (-1 + y)\/(10\/p). Is j >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 13311 = -19*y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/26)\/((-16219)\/(-4303))\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((sqrt(70) + (sqrt(70)*-1 - sqrt(70)) - sqrt(70) - sqrt(70)) + sqrt(70))*-4)\/(sqrt(120)\/sqrt(3))*-2)**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2489303*s**2 - 955*s - 1910. Let c(a) = 7828*a**2 + 3*a + 6. Give 955*c(j) + 3*z(j).\nAnswer: 7831*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17227, -68673, -154417, -274459?\nAnswer: -428799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 0. Let h be (-72 - -76)*(-5)\/(-4). Put u, 4, 2\/135, h in decreasing order.\nAnswer: h, 4, u, 2\/135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -233, -1672, -4073, -7436, -11761?\n\"Answer: -481*z**2 + 4*z + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o*r**3 + 148*o*r**2 - 62475*o*z + 10*r**3 - 216288*r**2*z wrt o?\nAnswer: r**3 + 148*r**2 - 62475*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 + 36*d**2 + 2*d - 50. Give x(18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61050436 or -61050438?\nAnswer: -61050438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2377728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -37*c**3 + c**2. Let a be i(1). What is the common denominator of -67\/6 and a\/600*470\/(-12)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.69376854653 - 1.37?\nAnswer: -2.06376854653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 390*k = 386*k + 1, 4*k = -2*w - 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -140, -503, -1128, -2015, -3164, -4575?\n\"Answer: -131*q**2 + 30*q - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3269239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 2*m**2 + 2*m**2 - 3*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5617 = 8*j - 12247. Is 24 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12556*t - 22426*t - 9638*t - 28902*t - 14178*t)*(0*t + t + 0*t)*(-t + t - 2*t) as c + l*t + h*t**2 + p*t**3 and give p.\nAnswer: 125176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 448327826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 102945 = 5*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1707722 and -1707720 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-1))\/(4\/(-10)). Let r be (-8)\/3*6384\/(-896). Solve -r = 4*h + z, -y*h - 3*z = -0*z + 22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9829123 and 1006?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -8 - (-77)\/(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from wuuuuuuuuwwuwuuw?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**2 + 8589*n - 3108450 = 0 for n.\nAnswer: 425, 2438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28752 and 1584.\nAnswer: 948816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*n, 4*n + 11 = 3*q + 5*n. What is the derivative of 5*d + 3 - q*d + 1 wrt d?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v**2 - 8*v + 2. Let u(q) = 7*q**2 - 7*q + 2. Let l(y) = -4*k(y) + 5*u(y). What is l(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102 + 192. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 64737870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1111 + -15431?\nAnswer: -14320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -147891 - -1332707\/9. Let c = 188 - x. Factor c*i + 2\/9*i**2 + 2\/9.\nAnswer: 2*(i + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - z. Let d(y) = -y**2 - 4*y + 6. Let c be d(-5). Let a be k(c). Suppose -w + 3*l = -34, -5*w - 5*l = -a*l - 150. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -13. Suppose 10*y - o*y = 12. Suppose y*h - 4 - 4 = 0. Put -4, 3, h in descending order.\nAnswer: 3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = 3*j + 21 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -4. Find the third derivative of 16*i**c + 0*i - i**2 - 14*i**4 + 0*i wrt i.\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from fffffpppppfpfppffffp?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8743 + 8762. Solve -p*b = -51*b - 224 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 36 = 9*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6532 + 0.6532. Which is the nearest to f? (a) -4\/5 (b) 0.1 (c) 5\/3 (d) -105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 565*r**4\/4 + r**3\/3 - 3*r**2\/2 - 2*r + 10. Is g(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 19) + 15 - 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, g: 2, j: 2, e: 8, y: 2}. What is prob of sequence jyg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 2:29 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 15*c**2 + c + 1. Let a be s(-3). Let q = 138 - a. Solve 0 = 2*h + z + 1, -5*z + 8 = 2*h - q*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.17 bigger than -586226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 223262105 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d - 143?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*i, 0 = q - 4*i + i - 30. Solve -q + 4 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6171 and 748?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*t + 18*t + 29*t + 2*t + 3*t - 3*t + (2*t - 3 + 3)*(-2 + 2 + 1) + 0 + 0 + t - t + 3 - 3 + t + 2*t - 4*t + (-2 + 5 - 4)*(-4*t + t + t).\nAnswer: 35*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -59873 and -0.4936.\nAnswer: -59873.4936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7*i - 15. Let k be j(-5). What is the highest common divisor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1\/(-2))*(-65)\/(-520)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13520018 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*c - 35, t - 63*c + 59*c + 3 = 0. Sort 2, -137, t in ascending order.\nAnswer: -137, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005257351 to six dps.\nAnswer: -0.005257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 552809539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfmwgbbbfwd. Give prob of sequence ggm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 213.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 - 4*u - 3. Let o be v(-2). Let a = o + 16. Calculate the common denominator of -101\/4 and (-3)\/a + 226\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1100\/56*(-2)\/10 and 2*(1905\/(-920) + 2).\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105185, -105158, -105141, -105140, -105161, -105210, -105293, -105416?\nAnswer: -105585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + -313?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 308 and 28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 380310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 50*k - 348. Give x(56).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -11*g - g - 2 + 15*g - 2*g. Suppose c - 25 = 3*x + 2*x, 3*c + 1 = -4*x. Determine a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 33895*v + 1045940.\nAnswer: 5*(v + 31)*(v + 6748)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + 4. Let i(f) = 5 + 0 - 2 + 2*f - 8. Let a be i(w). Is a at least as big as 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.11 - -85.11. Let m = -78 + l. Which is the closest to -1? (a) 0.2 (b) m (c) -0.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 13*x**2 - 7*x + 11. Give b(-13).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -42 and -7.83918.\nAnswer: -49.83918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5a5 (base 12) to base 9\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12637950 divided by -6.\nAnswer: 2106325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 9 - 6 = 0. Suppose 4*o = -b + 12 - 2, -3*o = 2*b - a. What are the prime factors of (b\/3)\/1*-9?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 104 - 6 = 0. Suppose h*j - 1 - 62 = 0. Suppose z - 4*z - 5*p + 287 = 0, 2*z = 3*p + 204. Calculate the greatest common divisor of z and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l + 0*l + 14 + 5*l + (3*l - 2*l + 0*l)*(-4 - 1 + 4) + 4 - 4 - l.\nAnswer: -l + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109643317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*h - 7 = -126*h - 9*j, -2*h - 1 = j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**5 + 7*l**4 - 23*l**3 - 40*l**2 + 8503*l - 2 wrt l?\nAnswer: 60*l**3 + 84*l**2 - 138*l - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 567 + -248. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -25343 (b) 0.4 (c) -6 (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + a + 20 = 0, 2*z = 2*a - 766 + 758 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*y**5 + (0 + 0 - y)*(3 + 2*y**4 - 3) - y**4 + y**4 - y**5 + 0*y**5 + 0*y**5 + 2*y**5)*(-34 - 6 - 13).\nAnswer: -53*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36081 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 470935513*i**5 + 1100430918*i**2 wrt i?\nAnswer: 28256130780*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 29*z**2 + 4*z - 6. Is x(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, g: 2, k: 3, q: 2}. What is prob of picking 1 g, 1 k, 1 i, and 1 q?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 272845148?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + (-3 + (sqrt(104) + sqrt(104) + (-5*-4*sqrt(104) - sqrt(104)) + sqrt(104))\/(sqrt(88)\/(sqrt(11) + sqrt(11)*-2)))*-4).\nAnswer: -176*sqrt(13) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -324372000 to the nearest one million.\nAnswer: -324000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -219, -848, -1477, -2106?\n\"Answer: -629*f + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 10*l**2 - 12*l - 21. Let f be n(-11). What is the remainder when ((-5)\/f)\/(4\/240) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 9 - 3. Let n(a) = -4*a**2 + 5*a**3 + 3*a + 2*a**3 + 0*a**3 + 3 - 5*a**3. Let c be n(3). Calculate the highest common divisor of p and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -832, -5, 1, -146, -12, 2 in descending order.\nAnswer: 2, 1, -5, -12, -146, -832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 11 - 4 = 0. Solve -i - 6 = -5*t + 1, -l*t - i + 3 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -38. What is the remainder when ((-102)\/4)\/((-15)\/r) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 - -121. Suppose 0 = 3*o - 8*b + 6*b + 360, -4*b = 0. Let i = o + 148. Calculate the least common multiple of x and i.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 250 = 2*w. Let i be 12\/8 - w\/(-4). Let b be (-63)\/i*(-4)\/6. Solve 3*x + 5*d = -b - 4, 2*d + 2 = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18354 is divided by 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**5 + 4*x**4 + 136*x**3 + 248*x**2 - 132*x - 252 = 0. What is x?\nAnswer: -3, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j + 66. Give q(12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -2, 1, -3 in decreasing order.\nAnswer: 1, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -75c4 - 2?\nAnswer: -75c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 1. Let g(x) = 7*x**2 + 5*x + 7. Is g(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 1:52 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 15*b**2. Let a(f) = -590923*f. Calculate a(z(m)).\nAnswer: -8863845*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, h: 7, n: 5, s: 1}. What is prob of picking 2 n and 1 h?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 0*m**3 + 15*m + 3*m + 6 + m**3 + 18*m**2 - 4*m**2. Does 27 divide s(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-12)*(26136\/154)\/33?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3 + 372572*x**2 - 1117734*x = 0 for x.\nAnswer: -186289, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 142 - 95. Let k be 9\/6 - 26\/52. Calculate the remainder when z is divided by (k\/(21\/(-91)))\/(1\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1357\/(-1534))\/(2\/13)?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 304882746?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2352 + 12528. What is the thousands digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 21*w**2 + 35*w - 8. What is the tens digit of h(20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*b = 58*b - 80 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.8 + -8. Let r = -0.2 + a. Let m = -0.5976 + r. What is m rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11, 13, 25, 53, 103?\n\"Answer: h**3 - h**2 - 2*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 55. Suppose 3*d - 2*d = -48. Let k = c - d. Calculate the remainder when k is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78245848 by 1.\nAnswer: 78245848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11988 and 6438888?\nAnswer: 57949992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -0.5 (b) -95 (c) 1\/2 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((((sqrt(20) - 4*sqrt(20)) + sqrt(20))*2 + sqrt(20))\/(sqrt(10) - (sqrt(360) + sqrt(360) + 1*sqrt(360) + sqrt(360))))**2.\nAnswer: 1076\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.70893ml in litres?\nAnswer: 0.03070893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 102719834 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 1\/8, -0.2, -52?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -317*f + 315*f. Solve -j = -4, 0 = -f*c + j - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 22*g**2 + 18*g + 63. Give f(23).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(300)*-3)**2 - ((sqrt(300) - (sqrt(300)*2 + sqrt(300))) + sqrt(300) + sqrt(300) + -3)) + (sqrt(300)*-2 + -1)*5.\nAnswer: -100*sqrt(3) + 2698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*v + 69*v = 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 - (4 - -3 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/4203 + 8636\/483345. Let j = -2879\/230 + o. What is the common denominator of j and -101\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8115 is divided by 711?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93463755.\nAnswer: 3, 5, 7, 11, 19, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*v = -2, 4*v - v = 5*d + 2. Factor -a - 2 - 3*a**d + 0*a - 5*a + a.\nAnswer: -(a + 1)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2386*b**2 - 14*b + 18. Let t(c) = 795*c**2 + 5*c - 6. Let z(w) = -6*q(w) - 17*t(w). Let a be z(3). What is a rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-1)\/30)\/(2596\/(-88) - -28).\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -47604944459+2.3\nAnswer: -47604944456.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 19*i + 83. Suppose 0 = 4*y - 2*p - 148, 0 = -y + 2*p - p + 36. Let k = 86 - y. What is the remainder when k is divided by t(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -345 and 3?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*g = -3*o - 29*g + 4 - 26, -o = 3*g + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*m + 20, 8 = p + m. Let l(t) = t - 6. Let x be l(p). Find the second derivative of -3*o**x - 5*o + 8*o**5 - 10*o wrt o.\nAnswer: 100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -3 (c) 0 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llzelzl. Give prob of picking 1 e and 2 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -4. Suppose -5*g + 25 = -v*g. Let y(q) = -g*q**2 + 5*q**2 - q**2. Let s(p) = -2*p**2. What is y(s(k))?\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 5*i**2 + 6*i - 5. Calculate the smallest common multiple of 143 and n(4).\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*z = 106*z - 1456 - 21 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, y: 2}. What is prob of sequence yyh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**2 - s**2 - 4*s**2 + (-2 + 2 + 2*s**2)*(-40 + 18 + 4) + 1144*s - 568*s - 4*s**2 - 578*s + 12.\nAnswer: -41*s**2 - 2*s + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1029 in 1\/3, -4\/7, 4, -4176, -0.1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = 14*a + 4. Put -2, -5, a, 1 in descending order.\nAnswer: 1, -2, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w = 15*w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 45, 156, 347, 618, 969?\n\"Answer: 40*s**2 - 9*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-13 - -9) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -9. Let o be (9\/3 - -2)\/a. Suppose o*k = 31 - 1. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 61. Suppose -3*x = 4*a + 75, 0 = 4*x + 5*a - 37 + 137. Let d = x + w. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666\/3191 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z - 4. Let a be (-1)\/(-1 - (-12)\/15). Suppose a*c - 4*g = 60, 7*c + 5*g = 4*c + 73. Let f = c - 20. What is b(f)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((12\/(-7))\/(-1))\/((-2)\/(-7)). Is (-12781 + 0)\/(4\/p + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 50?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -666233\/2 + 333117. Let p = 2 + -3\/2. Factor n + p*x**2 - x.\nAnswer: (x - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251 + 163 = 52*h - 362 - 1858 for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(6 + -70) + 6. Suppose 5 = 5*s + 140. Let z = s + y. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 172111203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 13*m + 46. Suppose -5*j - 6 + 41 = -3*z, 5*z = 4*j - 80. Is 62 a factor of d(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 3*x - 2*k - 42 = 0, 2133*k - 2134*k - 15 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 5:09 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 3*o - 2*o + (57 - 179 + 28)*(-o - 2*o - o).\nAnswer: 377*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192195, 192214, 192233, 192252, 192271, 192290?\nAnswer: 192309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-14)\/(-4))*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + t + 4 = -t, 0 = 2*m + 5*t + 7. Let w(p) = -p**3 + 19*p**2 + 24*p - 78. Let r be w(20). Is m*r + 44 + 0\/2 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z + 21. What is r(-8)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 10*a - 3. What is the remainder when 16 is divided by n(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1775.07 + -1768. Let x = 2.24681848 - 9.31681477. Let l = b + x. What is l rounded to seven dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-9) - (-14)\/6. Let i(d) = 1. Let m(t) = -t**3 - 3*t**2 + 3*t - 2. Let x be m(-4). Suppose -g - 33 = x*g. Let s(p) = -p**2 + 5. Give g*i(c) + n*s(c).\nAnswer: -2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796950?\nAnswer: 2, 3, 5, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6559 + 6724 = 3*v. What is the greatest common divisor of 209 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11407?\nAnswer: 11, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*-0.08804.\nAnswer: 2.28904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8048*z - 884095 = 3335*z + 15162 for z.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 - 147*i - 135 + 382 - 122.\nAnswer: -147*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69 or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 497 and 7597.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.099, 3\/5, -24\/1613 in increasing order.\nAnswer: -0.099, -24\/1613, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h - 3. Determine f(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + 1)*-6)**2 - sqrt(12)\/(1*sqrt(216)).\nAnswer: 3887*sqrt(2)\/6 + 5868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668092029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q**2 - 2*q. Let v be c(3). Let z be ((-1024)\/16)\/16 - -4. Suppose 0 = 4*f - 2*u - 24 - v, z = -f + 3*u + 8. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s - 37*s + 5*s + 13*s + 7*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1650 or 1741?\nAnswer: 1650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 58\/(-12) - (-4)\/(-24). Let o(z) = -4*z**5 + 20*z**3 - 8*z + 8. Let t(l) = -3*l**5 + 13*l**3 - 5*l + 5. Let h(m) = s*o(m) + 8*t(m). Factor h(y).\nAnswer: -4*y**3*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 1, l: 2, u: 2, q: 2, s: 5}. Give prob of picking 2 q.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/158 and -127\/299316.\nAnswer: 23645964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 6 - 40*f - 35*f**2 - 81*f - 41. What is the first derivative of q(g) wrt g?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 11*i**2 + 11*i. Let u be m(12). Let r(s) = s**2 - 12*s - 2. What is the hundreds digit of r(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26.3*-63194.\nAnswer: -1662002.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 3 = -10*c. Is c less than 2\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3580 and 3938?\nAnswer: 39380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1127 + -529. Calculate the highest common factor of 78 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(1300) + 5 - (sqrt(1300) - (sqrt(1300) - (sqrt(1300) + (sqrt(1300)*-1 - sqrt(1300))*-5)))**2).\nAnswer: -629180 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6641*i + 435 + 425 - 860 in the form t + u*i and give u.\nAnswer: 6641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**0\/z**(4\/9) assuming z is positive.\nAnswer: z**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**8)**(-28)*b\/(b\/(b*b\/(b**10*b)))*b**(-3\/13))**(6\/31) assuming b is positive.\nAnswer: b**(-20376\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.49, 3, -2, -9\/7 in decreasing order.\nAnswer: 3, -0.49, -9\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38.0328 + -38. Round x to three dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/50)\/(1\/(-2))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtruuutuuuuruuur. What is prob of sequence rtrt?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 4*m**2 - m - 4. Let z be u(-3). Let x(o) = 5*o**2 - 10*o + 2. Let y(i) = 12*i**2 - 20*i + 2. Let h(q) = 5*x(q) - 2*y(q). Determine h(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -162, -334, -514, -702, -898, -1102?\n\"Answer: -4*f**2 - 160*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15488, -15486, -15482, -15476, -15468, -15458, -15446?\n\"Answer: h**2 - h - 15488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h + 5. Let j be n(-5). Let t = 27 - 37. Let q = t - j. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -161 (b) 0.5 (c) 3\/4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1152 = -2*p. Suppose 2*s - 4*s + p = 0. What is the greatest common factor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.5, 40, -3, 2, 0.5 in descending order.\nAnswer: 40, 2, 0.5, -3, -5.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 4*v**2 + 5*v + 4. Suppose 3*d - 9 = -5*h, h + 5 - 12 = 2*d. Let q be 1*(0 + -2) + -1 + d. Give u(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-1 - 5) + 12 + 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g + 62. What is y(7)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 27 (b) 6761\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, k: 1, b: 5, m: 4, c: 5, g: 1}. What is prob of sequence mhgb?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, x: 2, u: 2}. Give prob of sequence xlx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/7 (b) 2\/5 (c) 0.5 (d) -1265 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64430616 by -3922.\nAnswer: 16428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3478 + 3459. Which is the nearest to -2\/3? (a) -5 (b) -0.6 (c) y (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + g = p - 33, -4*g + 12 = -4*p. Calculate the smallest common multiple of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -328, -465, -618, -793, -996, -1233?\nAnswer: -1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 273671887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 + 158*b - 199. Determine w(-41).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -327552*b*l**3 + 2*b*l - 4*l**3 + 2102*l**2 + 31 wrt l?\nAnswer: -1965312*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 630*q**3 - 7.\nAnswer: -630*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 1532*q + 509472.\nAnswer: (q - 1044)*(q - 488)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (14 + -13)\/(1\/23). Let q(t) = -23 + z + t**2 + 5. Let h(m) = 8*m**2 + 10. Suppose 92 = 4*n + 5*a, 4*a = n + a - 6. Calculate n*q(p) - 2*h(p).\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -111*l + 147. What is the remainder when 1511 is divided by k(1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8000887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 17. Does 16 divide (7 - 4)*64\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*v + 3*v**4 - 1601 - 1523 - 19*v**4 wrt v.\nAnswer: -64*v**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 88507.\nAnswer: -3\/88507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h + 1903. Let m(u) = 5*u + 1902. What is 2*m(a) - 3*v(a)?\nAnswer: a - 1905","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/3)\/w**(-1\/6))\/((w\/w**(-5))\/(w**(-2\/9)\/w)))\/((w**4*w)\/(w\/w**(2\/25)))**(-39) assuming w is positive.\nAnswer: w**(68579\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 481836062?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 5*q - 3. Let y be n(1). Which is the nearest to 1? (a) y (b) 5 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -13) + (6 - 28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*(sqrt(104) - sqrt(104)*3)*1)\/(sqrt(72)\/(sqrt(45)\/sqrt(5))*2) + -5.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100200 - 2?\nAnswer: 100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**5\/150 + l**4\/90 - 2*l**3\/45 - 23*l. Find c such that y(c) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7257452?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23458517?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m - 1. Let y be r(1). Which is the third biggest value? (a) -0.5 (b) -0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 5. Let s = 39 - 31. Suppose y - s - 21 = -5*r, 5*r - 9 = 4*y. Suppose r*j + 18 = 43. Give k(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185*d**2*v**2 - 7*d**2*v - 4*d*v**4 + 104*v wrt v?\nAnswer: 370*d**2 - 48*d*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(7) - (-1 + sqrt(7)*2) - sqrt(7))*4 + (sqrt(70)\/(sqrt(5) + sqrt(5) + sqrt(5)*-1))\/(sqrt(242)*-1).\nAnswer: -89*sqrt(7)\/11 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**5\/60 + 13*i**4\/8 - 33*i**3 - 87*i**2. Let g be u(33). Solve g = -h - p, 5*h - p = 3*h - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - sqrt(88)*3) + sqrt(88) - sqrt(88))*-2 + (sqrt(88) - (3*sqrt(88)*3 + sqrt(88))))\/((sqrt(88)*2*5)\/(-1*sqrt(11)*-3)).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 203\/(-116)*(-1)\/28*-2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) 4 (c) -5 (d) 7\/4 (e) 14 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22365 - 21498 + t + t.\nAnswer: 2*t + 867","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13391\/2679 + 217\/57. Is -2 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 8 + 4 = 5*m, -5*n - 2*m = 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 186338 * 4.\nAnswer: 745352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 29. Suppose -w - 2*a = -1, 5*a + 14 = 4*w + b*a. Solve 0 = w*f - 5*g + 4*g - 5, g = -f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h - 1. Let u(x) be the third derivative of 5*x**4\/12 - x**3\/3 - x**2. Let w(n) = 7*m(n) - 4*u(n). What are the prime factors of w(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77071.\nAnswer: 37, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-21) + (-69)\/168. Which is the nearest to -2\/5? (a) -0.1 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 2895115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175819 a multiple of 1097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116540526, 116540525, 116540524, 116540523, 116540522?\nAnswer: 116540521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 265 - 481 = 9*v. Let f be (-2)\/9*(-321)\/4. Let z = v + f. What is the biggest value in z, -5, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -167a?\nAnswer: -1680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -344.\nAnswer: 1\/344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -33*r + 38*r. Suppose 18*f - r*f = -196. What is the remainder when 123 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 9:07 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 - 8*b**2 + 18 + (-3*b**2 + 0*b**2 + 2*b**2)*(3 + 1 - 2))*(8 - 8 + 8*b**2) as u*b**3 + h*b + a*b**4 + n*b**2 + d and give a.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-35) - 36\/(-5544)*11?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 0*w + 0*w)*(1451*w - 1451*w + 31*w**2)*(-3*w + 4*w + 0*w) to the form a*w**2 + q*w**4 + r*w**3 + l*w + g and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113100\/15834*(-28)\/(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 35.\nAnswer: 17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 18\/5 of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**3 - 2960*y**2 + 8845*y - 5890 = 0?\nAnswer: 1, 2, 589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 9) to base 12.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -1\/4*c**4 + 0*c + 0 + 0*c**3 + 54*c**2. Let a(i) = 2*i**2 - 11*i. Determine d(a(f)).\nAnswer: -12*f**2 + 66*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20269770 divided by -258.\nAnswer: 78565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3733*b - 1133*b + 643*b + 242*b + 3341*b.\nAnswer: 6826*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqfqeqffqzqffbz. Give prob of picking 2 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -9703 = -42*z - 142*z - 36*z + 637 for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -17, -25, -31, -35, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 0. Let r = v + 6.9999997. What is r rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 12 + 1)*(3*s - 3*s - 4*s) + 25 + 29 - 56 - 3*s)*(0 + 2*s**3 + 0).\nAnswer: 114*s**4 - 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*v + 76 + 20, 125 = 5*o + 5*v. Let j(r) = -11*r + 5. Let s be j(-4). Suppose s + 35 = 2*c. Calculate the highest common factor of o and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (3*sqrt(208) - sqrt(208)) - (-4 + sqrt(468))**2.\nAnswer: -484 + 41*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2836*m**2 + 8*m + 1. Let u be r(-5). Suppose -3*t - 2*a = -42523, -a + 3*a = 5*t - u. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68540?\nAnswer: 2, 5, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*l - 21, -2*b + 4*b = 4*l. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2. Let u(t) = 18*t**2 + 12*t**2 - 14*t**2. What is b(u(j))?\nAnswer: -256*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -16. Let o = 0.3 + -0.4. Which is the nearest to o? (a) -1\/6 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 333, 1101, 2593, 5049, 8709?\nAnswer: 13813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -47*d**3 - 58*d**2 + 57*d - 12. Let w(v) = -330*v**3 - 405*v**2 + 400*v - 85. Let k(c) = -15*t(c) + 2*w(c). Factor k(f).\nAnswer: 5*(f + 2)*(3*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5551 + -13 + -6 - 12 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f = 3*f - 864. Let v(x) = -x**3 - 49*x**2 - 46*x + 148. What is the remainder when v(f) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2471*h - 176389 wrt h?\nAnswer: -2471","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -20*b - 286. Let c(g) = -4*g - 57. Let u(v) = -14*c(v) + 3*q(v). Let l be (-28)\/(-70) - 154\/10. Let o be u(l). Solve 5*j + 20 + 5 = o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -0.9.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -19 - (-89 + 5)) + -19\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(189)\/(6*sqrt(112)))\/(-6*sqrt(144) - -2*sqrt(144)))**2 + -2.\nAnswer: -8189\/4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2489, -3\/4, -1.07?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 6512.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k - 2. Let l(b) = 9*b**2 - 6*b - 5. Suppose 2*v - 12 = -2*n, -2*n - v = -3*n + 10. What is the least common multiple of n and l(k)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.02. Let t = j + 0.01883. What is t rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 5*f**2 + 20*f - 81. Let s be w(6). Solve 0 = -3*o + 3*c - 0 - 9, 0 = s*c - 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**2 - 973 - 9*f**2 + 973.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548500663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 9:49 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/(-4)*(-1120)\/2100. Let q be (3\/(-4))\/(36\/(-64)). What is the second biggest value in q, y, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) 6 (b) -2 (c) 2\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 253, 402, 623, 922, 1305?\nAnswer: 1778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 541749497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*65.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) 3 (b) -3 (c) 0.1 (d) 123\/4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3054319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, a: 2}. Give prob of picking 2 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10217504?\nAnswer: 2, 11, 29027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*l**2 + 19 + 76*l + 61 - 10*l**2 - 20*l**2 - 23*l**2.\nAnswer: -4*(l - 20)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1988*z + 366265 = -2321*z for z.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u = -70. Let j be u\/70 - (-2)\/10. What is the nearest to j in 2\/3, 1\/11, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 253, 16\/13, 3\/5, 2\/3 in descending order.\nAnswer: 253, 16\/13, 2\/3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -14 + 10 - (-8 - -1). What is the highest common divisor of 24 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*w - 18 = 110, w + 724 = 5*m. Calculate the greatest common divisor of m and 368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - f + 17. Let c be 3 - 51\/15 - 2\/(-5). What is the units digit of t(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*(-1*sqrt(300)*-1 + -3)**2*6.\nAnswer: -5562 + 1080*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 13 = 5*u + 9, 0 = -u + 5*d. Suppose 9*k - 7*k = 2*r - 14, 2*r + 4*k = -10. Is 31 a factor of (u + 4)*r + 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 1. Let m = g + 12. Let u = 19 + -9. Sort u, 1, m in decreasing order.\nAnswer: u, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w - w + 5*w)*(3*w - 3*w + w**2) + 4*w**3 - 2*w**3 + 3*w**3 to the form m*w**2 + l + u*w**3 + d*w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55692 is divided by 5563.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 51 = -8*o. Solve c - o = -18 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 g when three letters picked without replacement from {d: 3, g: 1, o: 4, c: 1, v: 4}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -4523, 2\/159, -1\/3, -1 in decreasing order.\nAnswer: 4, 2\/159, -1\/3, -1, -5, -4523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -16267748, -1, -5 in decreasing order.\nAnswer: -1, -5, -16267748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**3 + 32211864*m**2 + 96635618*m - 128847480 = 0.\nAnswer: -4, 1, 16105935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*w**5\/2 + 122535*w**4\/2 + 49421097*w**3\/2 - 512861487*w**2\/2 + 827994024*w - 856429470 = 0 for w.\nAnswer: -822, 13\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((-33)\/((-924)\/328))\/((-18)\/21)?\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33947 and 1876083.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 39353, 0, -124 in decreasing order.\nAnswer: 39353, 0, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 312 - 38 = 0. Suppose g = -3*u + 407. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 153 - 131. Let y = 7 + -4. Suppose 3*c - 357 = -c - 5*p, y*c + 5*p = 269. Calculate the greatest common divisor of c and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 6*r**2 + 4*r + 4. Let f be q(5). Suppose -13*x + 763 = -1122. Let y be -2 - (3\/15 - x\/100). Which is the closest to -3? (a) 0.3 (b) y (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/(-7) - (-4)\/14. Let o be j\/(-10) + 38\/70. Let w = -1.97 + 2.07. Which is the closest to 1? (a) w (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujs when three letters picked without replacement from ssjusuusjusswsjwuus?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -595*q - 934*q + 243*q + 11352*q**4 - 679*q - 299*q wrt q?\nAnswer: 136224*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - 61 - -33) + -29?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1622 + 2?\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*y + 3*t, 3*y - 50 = t - 5*t. Suppose y - 8 = -2*q. Is -3\/19 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxxxxxjxtjo. What is prob of picking 1 t, 2 j, and 1 o?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 544233 and 999.\nAnswer: 4898097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -58*w. Let z(h) = 4*h**2 + 3*h. Let r(a) = -3*a**2 - 2*a. Let k(u) = -3*r(u) - 2*z(u). Calculate k(n(l)).\nAnswer: 3364*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*n = 96, -4*x + 4*n = x - 235. Let u be (-4)\/18 + (-2)\/(-9). What is the remainder when x is divided by 3*-5*(u - 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/39 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -98.\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 56\/44)\/(34 - (-145920)\/(-4290))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/24699 and 65\/2?\nAnswer: 49398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 10) in base 12?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = -175*f + 1274. Suppose 15 = 3*v - 0. Suppose 5*a + 1 = -4*l - v, -5*l = 3*a + 14. Solve -2*k + f = a*b, 0 = -3*k + k + 4*b - 24 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0768723258 - 1097\nAnswer: -1097.0768723258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, d: 1, g: 2, j: 3, z: 6}. Give prob of sequence gg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1363 + 9.115\nAnswer: -1353.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -15154 (base 12) to base 2\nAnswer: -111001110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from qvqqiqiviqqvq.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4086 divided by 77803.\nAnswer: -4086\/77803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 = c + 7, 15 = 3*c + 3*v. Suppose c = -0*s + 2*s. Is s smaller than 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -722.204 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*j - 4*s = -10, 2*j + 6 = 5*s. Suppose -2*p - 3*p + 4*b = -55305, 22145 = j*p + 3*b. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 11*b**2 - 13*b - 3. Let r be i(-12). Let u(a) = -9*a + 0*a**3 + 12 + 0*a**3 - a**3 + 10*a**2. What is the units digit of u(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbba when four letters picked without replacement from {g: 5, a: 8, c: 1, b: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 3, 219168, 5 in ascending order.\nAnswer: 3, 5, 43, 219168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00025202354 rounded to seven dps?\nAnswer: 0.000252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 574\/(-21) + 1\/3. Let n = 17 + r. Let v(w) = -w**2 - 12*w - 4. Let a be v(n). What is the greatest common divisor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 + 641404)*(-3)\/2. Let x be ((-77)\/(-21))\/11 + y\/(-9). Round x to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97942501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 183083\/23 + -7957. Is 3 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(1\/7)\/h)*h*(h\/(h*(h*h**(-2\/7))\/h))\/h)**(4\/7) assuming h is positive.\nAnswer: h**(60\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 + 67. Let p(h) = -h**2 + 41. Let c be p(q). What is the greatest common factor of 328 and c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -575 - 12*i**2 + 575.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32a4 + -336?\nAnswer: -361a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*k - 7992 = 12*k. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 5:21 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 102?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c**3 + 5*c**2 - 25*c**2 + 4*c**3 to the form t*c**2 + h*c**3 + p + l*c and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m**2 - 2*m + 4. Let j(p) = -11*p**2 - 5*p + 9. Determine 14*a(k) - 6*j(k).\nAnswer: -4*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 282275209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*o**2 - o**2 - o**2 - 2*o - 5*o**2 + 2*o + (1 + o - 1)*(-721 + 721 + 804*o) + (0*o + 4*o - 3*o)*(5 - 5 + o) as y*o**2 + g + x*o and give y.\nAnswer: 807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 7174 = 3*m, -m + 2*m = y - 3586. Suppose 4*x + y = n - 0*x, -4*n - 2*x = -14408. What is n rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 210, 223, 236?\n\"Answer: 13*h + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -40*b + 6. What is z(2)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 374527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(13) + 1)*-5 - (sqrt(1573) + 3)).\nAnswer: -16*sqrt(13) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -14*u**2 + 18*u + 142. Give g(-6).\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 13*d - 16*d. Which is the second smallest value? (a) d (b) -8 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehb when three letters picked without replacement from eeqqeqweeeqeewhewb?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 5976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 3. Determine r(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 13*k**4\/12 + k**2\/2 + 5*k. Let c = -32 - -33. Calculate the least common multiple of 20 and q(c).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.151 - -7.49. Let k = v - 0.149. Let u = -7.11 - k. What is u rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 34, -1879, -0.4, -2, 2\/3, 0.011?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-4 + -1)*-2. What is the third derivative of -26*t**2 - 16*t**m - 19*t**3 + 57*t**2 wrt t?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 - 3*d**2 + 3*d**2)*(-2*d + 4*d + 7*d)*(-2 - 3*d + d + d).\nAnswer: 36*d**4 + 72*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1326507365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 8*a**2. Let s(o) = -2*o**2. Let t(v) = -2*k(v) - 18*s(v). Suppose -5*r - 9 = -4*z + 22, -r = -4*z + 19. Let x(q) = z*q + 0*q - 6*q. Give x(t(i)).\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/10 and -85\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*c - 610*c - 7*c**3 + 301*c.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((0 + sqrt(1900) + 0 - -1*(sqrt(1900) - ((sqrt(1900) - sqrt(1900)*1) + sqrt(1900)))) + 2*(-2 + sqrt(1900))*-4)**2.\nAnswer: -13440*sqrt(19) + 560136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0648 - -341797.4995\nAnswer: 341797.5643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 13*d**2 - 466*d + 121. What is g(35)?\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a century in years?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 27\/4 of a week?\nAnswer: 1134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -8 - 2*c - 2*c + 3*c + 4. Let d(g) = -15. Let n(j) = -2. Let a(s) = -d(s) + 10*n(s). What is 2*a(p) - 3*l(p)?\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.5 (c) -3 (d) -588 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m. Let b(j) be the third derivative of m*j + 1\/60*j**5 - 2*j**2 + 0 + 1\/24*j**4 + 1\/3*j**3. Determine b(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/((-2 - -6) + -6). Let m = 0 + 4. Suppose -m*c + k - 10 = -110, 0 = h*c - 5*k - 58. Is 26 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015292027 rounded to 5 dps?\nAnswer: 0.00153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1.6. Let w = s - 0.43. Let k = w - -0.03. What is the third biggest value in 3, -0.07, k?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70207065*i**5 - 1105702370*i**2.\nAnswer: -4212423900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**3\/7 - 2140*b**2\/7 - 2136*b\/7 = 0. Calculate b.\nAnswer: -534, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 23*f**3 + 26*f**2 - 17. Let y(b) = 11 + 8*b**3 + 54*b**2 - 45*b**2 - 17. Calculate 6*o(g) - 17*y(g).\nAnswer: 2*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 674901*d*l**2*q**2 + 2*d*l**2*q - 12*d*l - 9*d*q + 2*d - l**2*q**2 + 3*l**2 + 1 wrt q?\nAnswer: 1349802*d*l**2 - 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -1046?\nAnswer: 1046.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -314009, -314007, -314003, -313997, -313989, -313979, -313967?\n\"Answer: b**2 - b - 314009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 41 = -3*y, -4*u - 107 = -2*y - 21. Sort 5, u, -8 in descending order.\nAnswer: 5, -8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x**3 + 6*x**3 + 10*x**3 + 11*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 28\/163?\nAnswer: 28\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(77) - 3*sqrt(77)*-3)\/((sqrt(84) + sqrt(84)*3 + sqrt(84))\/sqrt(12)).\nAnswer: 5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1671839?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.376484ug to milligrams.\nAnswer: 0.005376484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 816 and 1768?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 341 - 1027 - 28*n**3 - 11*n + 345 - n + 342 to t*n**3 + i + p*n + s*n**2 and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 0*j**4 + 0*j + 1\/30*j**5 - 1\/6*j**3 + 3*j**2 + 0. What is the units digit of d(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/(-72))\/(5\/590) and 95\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1457, 39, -1, 0.\nAnswer: -1, 0, 4, 39, 1457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 4:58 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 9*t**2 + t + 1. Let q be 8\/(-1) - 1\/1. What is g(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-13 + 14 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/29 equal to -63\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + q**2 - 2 - 3*q**2 + (-5*q + 5*q + 5*q**2)*(-2 + 4 - 1) - 12 + 11*q**2 + 12.\nAnswer: 14*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -21. Suppose 2*a + q = t, -q - 1 = -a - 0. Find m, given that -m + m**a + 1 - 1\/4*m**4 - 3\/4*m**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 + h**4 - h**4 + h**4 + (-4*h**2 - 4*h**2 - 3*h**2)*(-3*h**3 + 2*h**3 + 0*h**3).\nAnswer: 9*h**5 + h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, w: 1, h: 4, a: 1, g: 1, e: 4}. What is prob of sequence aze?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (0 + 0 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**0*d)\/d*d)**(-2\/3))**28\/((d**(-1\/5)\/d)\/(d**(-1\/5)*d))**(1\/4) assuming d is positive.\nAnswer: d**(-109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qoiblqqqbibooitltttl. Give prob of sequence lt.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -172 and -624.965?\nAnswer: 452.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 93*d**2 - 1523*d + 788. Give a(72).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t + 3. Let r be a(2). Let m = r + 20. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Let n = -25.51 + -0.49. Let o = 28 + n. What is the closest to -2\/7 in o, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 1. Let q be s(-5). Suppose w + 12 = 4*w. Suppose -82 = -w*y + 86. What is the greatest common divisor of q and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*o**2 - 26*o**2 + 10*o**2.\nAnswer: -50*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 245692524 divided by 308\nAnswer: 797703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20531 + -1268?\nAnswer: 18252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11104 - -26817. What are the prime factors of c?\nAnswer: 19, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1637000 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*u + 29 + 83 = 0, -293 = -5*d + 3*u. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i - 2. Let t be l(-4). Suppose -5*k - 18 = q - 4, -3*k = 2*q. Solve 0 = -q*c + 3*c + t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65414008 and 13691304?\nAnswer: 588726072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 3 + -44 + 0 + (-44 - -36)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1783929mm?\nAnswer: 178.3929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 - 0.22. Let m(v) = -v**2 + 11*v. Let j be m(11). Let f be (j - -3)*(0 + 1). Which is the third biggest value? (a) t (b) -0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = a + x, -2*a + 3*a - 33 = -4*x. What is the remainder when 36\/(4\/14 - 91\/(-196)) is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2)*v)**(3\/5)*v**(-5)\/(v\/v**(1\/3)*v))\/(v**9\/v**(-2\/19))**31 assuming v is positive.\nAnswer: v**(-164177\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/14 - (-6)\/(-12). Let d be -2 + 144\/66 + (-106)\/(-22). What is the third biggest value in 2\/5, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -203, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -26. Sort 46, -5, m.\nAnswer: -5, m, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27ed (base 16) to base 6\nAnswer: -115153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/13193 and 56\/15531.\nAnswer: 1226949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 184939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26 + 7*n - 14 + 2 - 58*n wrt n?\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -7\/180*q**4 + 0 - 5*q + 10*q**2 - 1\/225*q**5 - 4\/45*q**3 + 1\/900*q**6. Suppose n(g) = 0. What is g?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (693\/(-28))\/(5 + 230\/(-40)) - -10?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*u + 105*u = 5*r + 5, -4*u - 1 = r. Solve -y = -3*k - u*y + 17, -5*k + y = -25 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -2. Let x = l - -16. What is the smallest value in x, 5, 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6, 12 = -z - 2*z + 5*u. Let a(g) = -g - 1. Let t(v) = -8*v - 6. Suppose 0 = -3*p + 5*w - 23, -3*w - 10 = 5*p + 17. Give p*a(b) + z*t(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - 0.2. Let i be 1 - -1 - (-17 + 15). Suppose -3*t = 4*o - 5, -3*o - i*t = t - 1. Put -1, v, o in decreasing order.\nAnswer: o, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, d: 3}. Give prob of sequence llll.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12941913*h**5 - 14681287*h.\nAnswer: -258838260*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**3\/3 - 80*z**2\/3 + 20*z\/3 + 320\/3 = 0.\nAnswer: -16, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/1 + -2)*-4. Suppose 0*t + x*j = t - 13, -4*t = -j - 52. What is the remainder when 38 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 (base 8) in base 11?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.88 - 0.12. Let l = c - -20. Sort l, -2, 0.2.\nAnswer: -2, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 5*l - 30, 2*v - 2 = l + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.17 (b) 1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 2:08 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 21*b + 39 = -3*p + 3*p, 5*b - 2 = -0 + 3 - 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -d04?\nAnswer: -cec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(16\/7)\/d)\/(d*d\/(d**35\/d)))\/(d\/(d*(d*(d*d**19*d*d)\/d*d)\/d*d)*d)**(-1\/51) assuming d is positive.\nAnswer: d**(11729\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b (base 13) in base 12?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 901 + -19825\/22. What is the common denominator of m and 43\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-16)*2*2. Suppose -5*g + a = -5*i, -5*g = -4*i - 4*g + 2. Solve n = -2 - i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5 + 9. Suppose -a - 8 = -5*l. Suppose 2*i + l*i = -4*k + 77, 2*k - 3*i - 33 = 0. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 7:34 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3375 - 1583. Let h(r) = -5*r + 54. Let q be h(8). Calculate the greatest common divisor of w and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 7*u**3 + 4*u**3 - 5*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23981900?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8 (base 16) to base 2.\nAnswer: 10101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, 5.35, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 1920\/108 - (-2)\/(-18)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-24)*4*4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o - 7*o - 28. Let d(m) = m + 1. Let c be d(6). Solve -j = o*f + 24, -3*j = 5*f + c + 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1, -28, -71, -128?\n\"Answer: -7*s**2 - 8*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3015, 3012, 2995, 2958, 2895?\nAnswer: 2800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i**2 + 10. Let y(c) = -11*c**2 - 19. Calculate -5*b(v) - 3*y(v).\nAnswer: 3*v**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 o, and 1 t when four letters picked without replacement from towgw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l = 4*l. Solve -h - 3*h - 2*f - 20 = l, 3*h = -4*f - 25 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 0*u**3 - 4*u**2 - u**2 + u**3. Let m(v) be the second derivative of -v**5\/20 + v**4\/3 + 3*v. What is 5*m(t) + 4*p(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 4*b**3 + 14*b**3.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 - 41. Find the third derivative of -3*n**4 + 3*n**4 - 25*n**r - 16*n**2 + 38*n**5 wrt n.\nAnswer: 780*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12831 and 364?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.265 to 1 decimal place.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 + 0) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4 + 327*z**3 + 12011*z**2 + 11685*z = 0 for z.\nAnswer: -285, -41, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85760984?\nAnswer: 2, 19, 59, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(252) - (-1*(0 + sqrt(252)) - sqrt(252)))**2 - (sqrt(252) + 5 + (2 + sqrt(252))**2)) + 0.\nAnswer: -30*sqrt(7) + 2006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhzkm. Give prob of picking 1 k and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -103*h**4 - 285.\nAnswer: -412*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6165 + 6165 - 225*m)*(3 + 4 - 3*m + 4*m) + 3*m**2 + 0*m**2 - 4*m**2.\nAnswer: -226*m**2 - 1575*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -23963 (base 10) to base 16\nAnswer: -5d9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 10 + (-28 - -13) + -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 19}. Give prob of picking 2 k.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1872)*3.\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 14\/3 + 1\/6*j**3 + 11\/6*j**2 + 16\/3*j = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*k - 652*k - 1807862*k**2.\nAnswer: -1807862*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -110.468144\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0800892 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 124 and 8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.61259 - -0.9125975. Let k = m - 0.3. Round k to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -613, -582, -537, -472, -381, -258?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14634, -15220, -16198, -17568, -19330?\nAnswer: -21484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27.62 + -28.5. Let q = o - -1.88. Which is the closest to -2\/3? (a) q (b) 5\/6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-33))\/((-3)\/(297\/(-1170)))*25\/2.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8727264068 + 361.3.\nAnswer: 8727264429.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -743*s**6 + 395*s**2 - 2*s. Let o(r) = 2972*r**6 - 1581*r**2 + 9*r. Let h(b) = 2*o(b) + 9*p(b). Find the third derivative of h(u) wrt u.\nAnswer: -89160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11660*12\nAnswer: -139920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - (18 + 4))\/(-2). Let d = 15 - i. Suppose 5*a + 8 = 3*a + z, 0 = d*z. Let s(k) = k**2 + k. Calculate s(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1759*w - 2430*w - 779*w + 1183*w to h + f*w and give f.\nAnswer: -3785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 28)*(-5*o + 5*o + 2*o).\nAnswer: 62*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/4*-1 - -23. Solve o*k**4 - 29*k**4 - 10*k**3 - 8*k**4 + 32 + 88*k - 3*k**5 + 39*k**2 + 21*k**2 = 0 for k.\nAnswer: -4, -2, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220001 (base 5) in base 4?\nAnswer: -21131133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -49, -22, 83, 266, 527, 866?\n\"Answer: 39*l**2 - 90*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 3*l + 30, 79*y = -4*l + 31*y + 288 + 244 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-11)\/(44\/24))\/(-3). Factor 0*z**2 - 4 + 3*z**m + 5*z**3 - 4*z**3.\nAnswer: (z - 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 464101 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(2816) - (3*sqrt(2816) + 2)))*-1)**2.\nAnswer: 448*sqrt(11) + 11313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*u + 12*u + 12. Suppose u*q + 0*w = 3*w + 206, -4*q + 208 = -2*w. List the prime factors of q.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5 = -15, 5*c + 4*l = 7892. Suppose 7*a - 2*a - c = 0. Let v = -153 + a. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + -55. Let o be (15\/(-10))\/((-3)\/k). Let z(b) = -b**2 - 8*b + 3. Let t be z(o). Solve -5*m - 4*x - 40 = -x, -t*m - 4*x - 35 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 616, 1273, 1930?\n\"Answer: 657*p - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 203785?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554 is divided by 142?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(108)\/sqrt(3) + sqrt(36) - sqrt(36))\/sqrt(12)*6 + ((1 + sqrt(27) + sqrt(3))**2 - (-2*sqrt(27))\/sqrt(9)) + -1.\nAnswer: 16*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104283089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274541.\nAnswer: 293, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 6. Let g(t) be the third derivative of 0*t**5 - 1\/3*t**3 - c*t**2 + 0*t**4 + 0*t + 0*t**6 + 1\/210*t**7 + 0. What is the derivative of g(o) wrt o?\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 45411?\nAnswer: -1\/45411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 23?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10395800 and 39?\nAnswer: 405436200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15429*o - 15747*o = -17490 for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by -59.\nAnswer: -152\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -517 + 547 + 0 + -19\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 401 - 368. Suppose -l = 25 - v. Solve 0 = 7*b - l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*b + 6 - 2 + 10 wrt b?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87.5 - -32.712502284.\nAnswer: -54.787497716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 - (5 + -1) - 2. Which is greater: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 + (-2 - -4) + 14 + -21. Factor 4\/5*s**u - 2\/5*s**4 + 0 + 2\/5*s**2 - 4\/5*s.\nAnswer: -2*s*(s - 2)*(s - 1)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {y: 1, v: 1, c: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 655*l + 622. List the prime factors of q(8).\nAnswer: 2, 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 0, -7, -3 in descending order.\nAnswer: 3, 0, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**6\/90 + c**5\/6 - 2*c**4\/3 + 2*c**3\/3 + 3. Let m(f) be the third derivative of n(f). Solve m(d) = 0 for d.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/469092 and -71\/28173.\nAnswer: 4405242972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1131 - 1021?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - 6*g + 2*g)*(-4 + 1 + 0) + 0*g + 0*g + 2*g + (-3 + 1 + 4)*(4*g - 4 - 6*g + g) as z*g + w and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 3976956?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30286483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1027*f - 162*f - 866*f - 921*f.\nAnswer: -2976*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*t - 28. Suppose -d = -2*c - 17, -4*d + t + 1 = 0. Let w = c + 11. Solve w*s + 8 = -4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0352 plus -0.3?\nAnswer: -0.3352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1\/10 (b) -2 (c) -0.3 (d) -5 (e) 1\/196\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -684927*d + 0 + 684925*d + 0.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 5:11 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -24 * 0.1\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84477 is divided by 184?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 557.5274 kilometers in meters?\nAnswer: 557527.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 28*a - 11. Let m be i(12). Is 1\/(-1*1\/m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 124 + 144 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3418 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 610654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 113.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f - 23. Let c(d) = 38*d**2 - 113. Determine t(c(a)).\nAnswer: 114*a**2 - 362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {s: 9, o: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + x**2. Let y(o) = 4*o**3 - 3*o**2 + 2*o - 3. Determine -3*c(u) - y(u).\nAnswer: -u**3 - 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2917*f - 2911*f - 3 - 2921*f - 2925*f + 14595*f - 2922*f.\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(198))\/sqrt(9) - sqrt(22))*-5)\/((-1*sqrt(128) - sqrt(128))*-3).\nAnswer: 5*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-2)\/(-4)) + (3 - 2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69274077 a multiple of 779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 5587?\nAnswer: 5589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68881?\nAnswer: 68881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12682 + 12685. Factor 4\/15*s**u + 2\/15*s**4 + 0*s - 2\/5*s**2 + 0.\nAnswer: 2*s**2*(s - 1)*(s + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 194*a**2*o**2 - 2*a**2*o + 15*a + o wrt o?\nAnswer: 388*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 353072, 353466, 353860, 354254?\n\"Answer: 394*c + 352678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 1\/3 (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 858, 860, 862, 864?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**6\/120 - d**5\/60 - d**4\/24 + d**3\/3 + 31*d**2. Let a be g(0). Let h = -2 - -3. Solve a*w + h = -5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -90? (a) 4 (b) -1\/3 (c) -17 (d) -8 (e) -2\/11 (f) -65\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2084751?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -8*w - 54. Calculate the least common multiple of w and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -627198, -627204, -627212, -627222, -627234?\n\"Answer: -t**2 - 3*t - 627194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 19, d: 1}. Give prob of picking 3 o and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2 - 5*y + 6 - 3 + 4 wrt y?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q - 2*q**3 - 8*q**2 - 5*q + 12 + 3*q**3. Suppose 3*j + 5*i - 6 = -j, 0 = -3*i - 6. Suppose 24 = d + 3*x, -3*x + 8*x + 11 = j*d. Give o(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*o + 57*o = 117 + 933 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-1645.35.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95*11.2.\nAnswer: -1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1505\/(-105))\/(-43))\/(1\/(-75)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1597*o**2 - 8*o + 2 wrt o.\nAnswer: -3194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7922328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13289555 to the nearest integer?\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 3*m**2 - 5*m - 3. Give r(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*h**5 - 20789*h**4 + 43*h**3 - 591195590*h**2 wrt h.\nAnswer: -480*h**2 - 498936*h + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932928456 to the power of 1\/3, to the nearest integer?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70452 and 902.\nAnswer: 31773852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83 or -1975\/24?\nAnswer: -1975\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7786271 + 5?\nAnswer: 7786276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1515745 divided by 5\nAnswer: -303149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 81211?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 7030772.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 312456.88 rounded to the nearest one hundred?\nAnswer: 312500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -87. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0184 + -0.9716. Let r = 0.01 - m. What is the nearest to r in -3, -0.2, 2.5, -4\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*f + 49*f + 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 5*u - 6 = 0, 0 = -4*f - 4*u + 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*a - 6 = 2*q, 0 = -4*q + 2*a + 20. Let c(t) = t**2 + 2*t - 2. Let y be c(2). Is q equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8524659 micrometers?\nAnswer: 852.4659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 916 and 1.\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 4*u - 7. Suppose 4*h + 5*m = 108, 3*h - 3*m = -6 + 114. Let g(w) = -4*w**2 + 128*w - 5. Let k be g(h). Give b(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**5\/20 + d**4 - d**3\/2 - 21*d**2\/2 + 12*d. Calculate the remainder when (-14)\/21*234\/(-4) is divided by k(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(3*t - 6*t + t) + 4*t - 83*t - 20*t.\nAnswer: -103*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*m - 84. Suppose -2*b = -m - 9. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6 + 0 - -1 - (-10 - -7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = -2*b + 3*n, 0 = -5*b + 3*n + 7. Suppose -3*f = -f + b. What is the remainder when 10 is divided by 0 - (f - (6 + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -1. Suppose b = -1 - 0. Put b, x, -5 in decreasing order.\nAnswer: x, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-22) - (-18)\/22. Suppose 1 + t = z. Suppose z*d - 22 = -7*p + 2*p, 5*d - 55 = -3*p. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 0*w + 3*t + 19, -4*w = -2*t - 26. Suppose -771 = w*z - 7*z. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f - 376. Let o be x(63). Solve b = 5*v - 35, 78*v = 81*v + o*b - 21 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2298)\/26 + (6612 - 6524).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 = 0, 4*q - 98 = 5*j - 15. Suppose 0 = -8*v + 11*v - 168. Let r = v + -50. What is the remainder when q is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*f**2 + 13*f**2 + 5*f**2.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**6\/75 + 9*f**5\/50 + 19*f**4\/30 - 3*f**3\/5 - 4*f**2 - 101*f + 1. Determine o so that u(o) = 0.\nAnswer: -5, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296334342 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f**2 + 15*f. Let d(j) = -423*j**2 - 425*j**2 + 1266*j**2 - 424*j**2. Determine r(d(z)).\nAnswer: -144*z**4 - 90*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200 + 38*p + 200.\nAnswer: 38*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 t when four letters picked without replacement from {t: 3, o: 4, a: 1, g: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**4\/6 - s**3\/6 + 3*s - 1. Suppose -2*t - 4 = -4*t + 3*l, -t = 2*l + 5. What is the units digit of i(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-6 - 12 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48131?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 0. Let t be (-63)\/(-35)*(-15)\/42. Let u = 15\/7 + t. What is the second biggest value in u, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u - 3. Let q be d(5). Suppose 4*p + 4 + 0 = b, 3*b = -q. Is 1572\/4 + p + -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 14 + 26. Let t be 1\/(-10) - (-8)\/u. Let j be (4\/16)\/(2\/(-6)). Put 0.5, t, j in ascending order.\nAnswer: j, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*g - 22, c + 0*c = 2*g - 3. Let i = 0 + g. What is the lowest common multiple of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.97 - -0.03. Let v = -8814\/19 + 464. Let d be 434\/186*(22\/7 + -4). What is the third biggest value in d, 2, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 1 + 1 + (4 - 5 + 2)*(2*j + 3*j + j) + (9 - 9 - 6)*(3*j + 0*j - j))*(1 - 4 + 2).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1153, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2017, -2021, -2027, -2035, -2045, -2057, -2071?\n\"Answer: -s**2 - s - 2015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 4 = 3*b - 7*b, 4*x + 6*b - b = -163 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 1. Let v be a(1). Suppose -3*w - 5*c - 2 = -0*w, -4*c - 10 = w. Suppose -84 = -w*g + v*g. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 810772004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**3\/2 + 3*n**2 + 2*n. Let f be o(5). What are the prime factors of 1\/(-2) + f\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135048199 divided by -13?\nAnswer: -10388323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/(-12)*9\/12. Sort -2, z, -3 in decreasing order.\nAnswer: z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 436413828.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4526 and 8443.\nAnswer: -38213018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -50563 from -641.6.\nAnswer: 49921.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 7. Let n(d) = -63*d. Let y be n(a). Let z(h) = 6*h**3 + 2*h**2 - 1. Let p be z(1). Calculate the highest common divisor of y and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 86.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1909*l*r**3*s**3 - 91*l*r + 6*l*s**3 - 3*r**2*s**3 wrt r?\nAnswer: 11454*l*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -643, -646, -649, -652, -655, -658?\nAnswer: -661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 3. Let h(u) = -u**2 + 0 + u**3 - b*u**3 + 25 - u - 3. What is the units digit of h(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/279, 0.1, -2, -1\/6, 4 in decreasing order.\nAnswer: 4, 0.1, -2\/279, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {p: 4, h: 2, v: 1, u: 4, e: 5}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 6*l - 1. Let k(q) = q**2 - 7*q - 1. Let w be 3\/5 + 432\/(-20). Let j = 15 + w. Give j*k(p) + 7*f(p).\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -168, -737, -1684, -3009?\n\"Answer: -189*g**2 - 2*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5628635.1 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, q: 3, n: 1}. What is prob of picking 1 n and 3 q?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1821 plus -804746?\nAnswer: -806567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 10*w - 12 = 0. Let v = w - 1. Suppose 2*o = -v*o + 45. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -306503 and -122.\nAnswer: 37393366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*v + 54*v + 2*v**2 - 21*v + 8*v**2 as w*v**2 + d + z*v and give z.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen ninths of a week in minutes?\nAnswer: 19040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*o + 5*o - 2*o)*(8*o + 12*o + 3*o).\nAnswer: -483*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648732 is divided by 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*t - 0*t - 9, y = t + 7. Let b = 1 + 1. Suppose 2*j - 11 = j - 3*r, -j - r + 3 = 0. Sort j, t, b in descending order.\nAnswer: b, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a millimeter in micrometers?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t**3 + 3*t - 9. Let z(q) = 10*q**3 + 4*q - 9. Let p(c) = 4*v(c) - 3*z(c). Find the first derivative of p(r) wrt r.\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -667.5 and 5?\nAnswer: -3337.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521606*v**3 - 522029*v**3 + 0 + 0.\nAnswer: -423*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*f + 102*f - 456. What are the prime factors of f?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 179*b + 1973. What is the lowest common multiple of q(-11) and 4404?\nAnswer: 4404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.23515 + 0.76485. Which is the nearest to x? (a) 0.3 (b) 0.5 (c) 0.29 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 + 2. Let p = -0.09 + -0.41. Let d be ((-2)\/(-44))\/((-1)\/4). Which is the nearest to n? (a) p (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 4. Let c be g(-3). Let d be 25\/(-15)*2\/c. Are -3\/5 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a milligram in micrograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(19\/(-95)*-35).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -8886*k**7\/7 + 25*k**3 - k - 2760. What is the third derivative of o(d) wrt d?\nAnswer: -1066320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2123.\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.4, -0.5, -10\/17, 3 in ascending order.\nAnswer: -10\/17, -0.5, -0.4, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 16*k**3 + k**2 + 4*k + 15. Let x(s) = 17*s**3 + s**2 + 5*s + 15. Determine -4*l(c) + 3*x(c).\nAnswer: -13*c**3 - c**2 - c - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -23 - -11) + -6 - (0 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h. Let p be (3\/(-9))\/((-4)\/24). Give d(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183286.\nAnswer: 2, 113, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.638 - 17.638. What is the third biggest value in 1.8, 2\/5, 1, -4, t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2484 and 2916.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g + 1. Let l be u(2). Let z = l + 12. Let w be 2\/z + 4\/(-14). Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, p: 1, q: 3, e: 1, x: 1, m: 5}. Give prob of sequence pmqo.\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100102001 (base 3) to base 2.\nAnswer: 1101011001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2215 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 448 and 368565680.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 14) in base 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 5) in base 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 678*m - 2025*m + 2*m**2 + 669*m + 678*m.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2518808?\nAnswer: 2, 314851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17986\/18 + (-25)\/(1800\/16) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9096 = -10*d + 2196. Let l = d - -1095. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122 and 70333.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -44, -175, -432, -857?\nAnswer: -1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 7. Let n be p(7). Let r(s) = -16 + 14 - s - s**3 + n*s**2 - 2*s**2. Let v be r(-2). Which is the third smallest value? (a) -0.2 (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -2\/7 (b) 0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/28 - (-585)\/(-70))*-422 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 301.\nAnswer: 1\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14468649 and 144143.\nAnswer: 882587589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*h**5 + 9*h**5 - 28*h**5 - 5*h**5 + 2*h**5 + 2*h**5 + (1 + 2*h - 1)*(2*h**4 - 3 + 3).\nAnswer: -8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -4*m + 16, 322*m - 10 = 2*h + 320*m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -42.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97752 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1625, -28\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 7 = -4. Let f = g - -28. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 3*u = -12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 349 - 109*d - 103 - 103 - 43*d - 100. Let m be ((-1)\/2)\/((-1)\/(-16)). Is k(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 11 + 3 = 0. Suppose -4*z + k*r = -3*z - 35, 3*r + 69 = 3*z. Calculate the remainder when z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-12)\/(-40)*(-4)\/3). Let r be (-2)\/5 - 682\/l. Let b = r + -88. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7872453 and 4689972?\nAnswer: 220428684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*p + 2*p + 9*p**2 - 11*p**2 + 5*p**2 to w + k*p + z*p**2 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12, 36, 66, 102, 144, 192?\n\"Answer: 3*l**2 + 15*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1266 + -0.1266. Let i = -0.9 + 1. Which is smaller: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 21*z - 22.\nAnswer: (z - 1)*(z + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27866768.058 and -0.1.\nAnswer: -27866768.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 5. Suppose 5*y - l = -y. Let j(x) = -x**2. Let n(c) = 23*c**2 - c. Let u(b) = y*n(b) + 4*j(b). Find the second derivative of u(v) wrt v.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/1)\/(((-441)\/(-15))\/(-49))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-5)*75\/90. Sort 0.4, r, 2 in increasing order.\nAnswer: r, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/1404 or 1?\nAnswer: -17\/1404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21647 is divided by 10820?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 + 420. Suppose -i - q = -4*o, -o + 0*i + 91 = 3*i. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -4*f**3\/3 - 2. Let z(l) = 4*l. What is t(z(p))?\nAnswer: -64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 10:07 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138 and 16462020?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 148*x + 13 = -151*x, -2*w + 4*x + 10 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1668 and 13542492?\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 29 = -29, 4*v + 2*h - 20 = 0. What is the closest to -2\/7 in 1, -16, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -3)*2\/2. Let s be (6\/(-3))\/(2 + m). Let l be (-1)\/3*(s - -2). Solve -2*g - 3*g + 15 = l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -0.3, 4663?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y = 3. Let j be -42*(3 + y + -1). Let n be (16 - 6\/(-3))\/((-14)\/(-49)). Calculate the highest common divisor of n and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**6\/180 + p**5\/20 + p**4\/6 + p**3\/2 + 7*p**2. Let h(j) be the first derivative of a(j). Factor h(q).\nAnswer: 2*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -398, -1370, -2990, -5258, -8174, -11738, -15950?\nAnswer: -20810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10*-1*5. Let f = -8.8 - -9.2. What is the closest to f in 2, a, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + ((-27538)\/343 - ((-16)\/7 - -1)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 6 - -1 - -3 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = 3*w - 12, 3*w + 5*d - 252 + 254 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - i = 68, -2*f + 4*i = 6 - 48. Suppose -20*k - 6 = -f*k. Solve 5*v + 3*q - 8 = 0, 10 = k*v + 3*v + 5*q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 18. What is the common denominator of 61\/10 and (-546)\/(-56) - 1\/y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**2)**31*(a*a**1)**36 assuming a is positive.\nAnswer: a**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -11 + 12 - (32 + 1 + -7 + 5).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 308100\/42 - -10 - (-2)\/7. Let j = k - 4957. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24129 - 17940 = 19*f - 42489. What is the remainder when f is divided by 135?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -12*w + 14*w - 9*h, -w = -4*h - 2 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5452, 5220, 4988, 4756?\n\"Answer: -232*j + 5684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 10*u - 32. Calculate b(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 181*t + 224. What is k(-4)?\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 10*d + 2. Let y be s(-5). What is the units digit of y*(0 + -2) - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 71 + 384. Let p = 152 - y. Let x = p - -17. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2444023 (base 5) to base 2\nAnswer: 1011011010101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 33. Suppose 1089 = 10*i + 509. Calculate the remainder when i is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 10*x - 1. Let f be l(10). Let v = -4723 - -306998\/65. Is v less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 332204 - -110232?\nAnswer: 442441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107*g - 9*g**3 - 16*g - 23*g + 47*g**2 + 7*g**3 + 86*g**2 wrt g?\nAnswer: -12*g + 266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1245150 to the nearest integer?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 14*c**2 + 30*c - 82. Determine o(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307372 is divided by 102034.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, f: 2, e: 2, l: 5, n: 5, r: 1}. Give prob of picking 2 n.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzm when three letters picked without replacement from {r: 3, z: 6, i: 2, d: 1, m: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3611929 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21366, 21643, 21920, 22197?\n\"Answer: 277*t + 21089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 6029088.\nAnswer: 1\/1507272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 - 232\/24)*15. Let t = -6 + 5.4. Let h = t + 0.1. What is the biggest value in s, -0.4, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102.1 + -102.1. Let l = 34.5 + -29. Let g = l + -5. Which is the closest to u? (a) -0.3 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*j - 2*j - 162, 221 = 4*j - v. Let h = j + 87. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349898 is divided by 533?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*p = 140, -r + 60 = -42*p + 38*p. Calculate the smallest common multiple of 50 and r.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/3 + 6\/(-9). Suppose -7 = -4*r + 2*n - l, 5*n - 20 = 0. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, -3.3, -3, -1\/5, -137, -0.5?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - c + 54 = 0, 4*c - 4 = 3*y - 58. Solve -y = 6*x + 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 3*i - 18 = 0. Put 1, i, -3, 25 in decreasing order.\nAnswer: 25, i, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 7457372?\nAnswer: 9\/7457372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1347 - 43 = 0. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**6\/1260 - w**5\/21 + 25*w**4\/21 + 47*w**3 + 47. Let u(v) be the third derivative of h(v). Factor u(r).\nAnswer: 2*(r - 10)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 48*b**2 + 1. Let o be m(-1). Let v = o - 53. Let i be 3\/v + 66\/24 - -2. Solve 5*x - 5 = 4*k + 28, -i*k = -2*x + 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 22*s**2 + 11*s + 9. Let l be f(-7). Suppose 0 = -2*z + 392 + l. Suppose 3*j - z = -4*c, -5*j - 5*c + 935 = -j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 5:50 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10141 + 34301?\nAnswer: 44442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-630)\/50)*((-10)\/4 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*x = -6*p - 3, -2*p = -18*x + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 5*y**2 + y - 1 - 3*y**2. Suppose g - k - 3 = -2, 3*g - 4*k = 7. Calculate c(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4858*0.036687.\nAnswer: 178.225446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 995 = 3*v + 197. Let r be ((-330)\/(-1))\/2 + 1. Let p = v - r. Does 20 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 110?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.88 - -20. Let b = -0.18 + x. Let a = 0.36 + b. What is the nearest to -2 in 5\/2, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-21)\/l**(-2\/7))**(-4\/3))**(-50))**23 assuming l is positive.\nAnswer: l**(-667000\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 250539 (base 11) in base 10?\nAnswer: 395954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170 and 125120?\nAnswer: 125120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 + i**2 - 5*i\/4 + 1\/2.\nAnswer: -(i - 2)*(i - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10162.9978423 - -10163. What is l rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3627 + 6402 = 397*g - 6356 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1044 - 253. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 4*u - 5. Let o be v(-5). Suppose 3*n - 2*n = g + 7, o = n + g - 1. What is the second derivative of -2*l**4 + 2*l**n + 2*l - l**4 wrt l?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*i + 2, y - 1 = -i + 4*i. Suppose -2*l + 15 = -5*n, l + i*l - 10 = 5*n. List the prime factors of n\/(-3) + 78\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -22. Suppose -4*g = -6*g + k. Factor -1\/3 + 4\/3*w**g + w.\nAnswer: (w + 1)*(4*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85797 + -0.045241913?\nAnswer: -85797.045241913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 4. Suppose 53 = 5*b + 4*v, y = 3*b - 0*v - 3*v. What is the units digit of 140\/18 + 2\/b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhvhvhvv. What is prob of sequence vhvh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 11*w - 15. Let x be g(-11). Let r = -13 - x. Let z(h) = h + 2 + 4 + r*h + 8*h. Let f(l) = -5*l - 3. Give -9*f(m) - 4*z(m).\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*v - 70. Suppose -20*z - 32 = -v*z. What is the remainder when 30 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-432))\/(((-1)\/3)\/((-40)\/30)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -14. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10759 > -10850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0619 * -6.\nAnswer: 0.3714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**3\/12 + 1491*p**2\/4 = 0.\nAnswer: 0, 4473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -41. Solve i - f = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1315\/8253 - -11\/63. Let n = f + 1038\/655. Calculate the common denominator of n and -33\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30302 (base 7) to base 4\nAnswer: 1302320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/3*-1*9. Let z = t - -4. Is -5 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2988*a + 128. Is k(-2) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 14*b**2 + 14*b - 10. Let x be y(13). Solve -x*o - 5*q = 20, o - 2*q - 12 = q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p - 2*p)*(-4*p - 799*p**2 + 3*p + 861*p**2 + 3*p**3).\nAnswer: -6*p**4 - 124*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -975 divided by 3\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2547 and 350932.9842.\nAnswer: 350932.7295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - 137*(-3 + 1). Suppose -275*h + 174 = -t*h. Is -57 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -9. Which is the closest to x? (a) -4 (b) 0 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.59, -474, 2\/3, 0.2 in decreasing order.\nAnswer: 2\/3, 0.2, -0.59, -474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1900 - 1898. Solve -2*j + 5 = -d*f + 3*f, -5*f = 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 0 - 1 - v + 6*v - 4*v. Give b(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*x + 3 = 0, 4 = -2*v - 2*x - 3*x. Let o be v\/24*4*(0 - -248). Calculate the greatest common divisor of o and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(2\/6 + -2). What is the tens digit of (-2 - -4 - l) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 51.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - (sqrt(800)*1 + sqrt(8))) + 5*2*sqrt(8))\/(sqrt(100) + (sqrt(100) - sqrt(100)*1) + (sqrt(196) - (-2*sqrt(196) - sqrt(196) - sqrt(196)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3614 - 3610. Solve -5*t - 5*u = 0, 4*t = w*u + 30 + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*i - 4*l, 3 = 14*i - 13*i + 5*l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2087585 (base 9) to base 5.\nAnswer: 241332310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7))**(-26) assuming j is positive.\nAnswer: j**182","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 198355774?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t + 3 - 3 + (18 - 12 + 2)*(2 + 3*t - t - 3*t) as j + n*t and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4407445.\nAnswer: 5, 7, 125927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/9 + 252448*a\/3 + 757340\/9.\nAnswer: 4*(a + 1)*(a + 189335)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 77436 (base 9) to base 8\nAnswer: 144273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 771\/21 + (0 - (-2)\/7). Differentiate -m*g + 14*g + 113 - 128*g wrt g.\nAnswer: -151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-10\/7))**(-5\/14) assuming s is positive.\nAnswer: s**(25\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + r - a = 8, -5*r = a - 12. Let p be r - (2 - 22\/2). What is the lowest common multiple of p + 1*0\/(-3) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 8*g**2 + 6*g - 8. Let h be k(-7). Let s be 4 - ((-15)\/(-5) + h). Solve -z = -s*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 6*h + h. Let w = h + 2. Which is the smallest value? (a) -0.2 (b) 1 (c) w (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 0*v + 3 - 1 - v. Let y be m(2). Let b be 14\/(-2) + 27 + -15. Solve 0 = -3*s - 4*j + 4, y*j + 5*j = -b*s + 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 250 = -5*t, 0 = -3*v + 3*t + 100 - 457. Let p be v\/92*16\/(-10). Let i be (2 - -2) + (0 - 1). Solve -p*c = i*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68629 divided by -17?\nAnswer: 4037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -15.6. What is the second smallest value in 0.2, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15348, 16513, 17678, 18843, 20008?\n\"Answer: 1165*k + 14183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5760337.3 rounded to the nearest ten thousand?\nAnswer: 5760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + t = -t - 70964768, 5*h - 88705960 = -3*t. Let g = -10541192 + h. Round g to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 5*u - 28, 3*x - 17*u + 12*u = -16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + -2 + 4 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36907 is divided by 18451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3989*p - 52. Let j(n) = -23830289*n + 310674. Give -4*j(m) - 23898*q(m).\nAnswer: -7966*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11538 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -49101.8353 rounded to the nearest integer?\nAnswer: -49102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t - 25254 = -25196 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-2)\/(-2)*-2*(-14)\/(-308)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17 - 3*3\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 914*d**6 + 35*d**2 - 11*d**2 - 15*d**2 - 8*d**2 + 387*d wrt d?\nAnswer: 109680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8 + 1\/3*n**2 - 14\/3*n.\nAnswer: (n - 12)*(n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = 21*x + 86. Is x less than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 3. Let m be k(5). Suppose m*i + 5*f = 11, 4*f - 3 - 3 = -2*i. Let h = i - -13. Calculate the highest common factor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2524041 + -11?\nAnswer: -2524052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -0*l - 4*l. Calculate the greatest common factor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -6. Let j be (4\/b)\/(1\/(-3)). Suppose -3*s + 3*h + 12 = -42, 3*h = 2*s - 32. Calculate the highest common factor of s and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (4 - (12 - (-1 - -3))) + 11 + -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*a + 4. Let n(m) be the second derivative of -4*m**3\/3 - 2*m**2 - 35*m + 4. Calculate n(a).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 13. Let x = k - 1. Let i(n) = -n**2 + n - 1. Let s(g) = -4*g**2 + 4*g - 3. Let l(q) = 7*i(q) - 2*s(q). What is l(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, s: 4, d: 1, e: 5, c: 1}. Give prob of picking 1 e and 1 d.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 49*a**2 - 589*a - 178. Let c be g(28). What is c rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yeyi when four letters picked without replacement from {e: 7, i: 8, y: 5}?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 22176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -486957.76 to the nearest 1000.\nAnswer: -487000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + (sqrt(539) - sqrt(11))) + (sqrt(33) - 2*sqrt(33))\/sqrt(3)*6 + -1)**2.\nAnswer: -612*sqrt(11) + 3853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/12)\/((-2)\/9*12)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5 - 513*n**4 + 83666*n**3 - 4588112*n**2 + 23384064*n + 65798144 = 0 for n.\nAnswer: -2, 8, 128, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*u = -8144 - 14656 for u.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 21, 46, 103, 204, 361, 586?\nAnswer: 891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 8\/5, -0.3, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656131209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3546*x + 15350*x - 1003152 - 2378045 + 962509 = 0 for x.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 8:17 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzxb when four letters picked without replacement from zbxbzsszujs.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*w + n + 3, n - 15 = -5*w. Let m = -45 - -45.93. Let r = 1.03 - m. Which is the nearest to w? (a) -0.2 (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 114, 119, 122?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388378 is divided by 77672?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 1225*g + 2451*g - 1228*g = 143, g = -1 for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170\/7 - 24. What is the smallest value in 0.1, 2, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9913084 times 0.5\nAnswer: -4956542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2629 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 4567180*m + 2607391644050.\nAnswer: 2*(m + 1141795)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.1064, -4, -0.3 in increasing order.\nAnswer: -4, -0.3, -0.1064, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*h**4*w - 2*h**4 - 4*h**3*w - 360*h**2*w - w wrt h?\nAnswer: -360*h*w - 48*h - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059681769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 3. Let c be a(3). Suppose c = v + 3*i, 2*v - 3*v + 3*i - 12 = 0. What is the least common multiple of v\/4*(-4)\/3 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 601, 2508, 5691, 10156, 15909, 22956, 31303, 40956?\nAnswer: 51921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7316 and 2410032.\nAnswer: 74710992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 0 + (-42)\/(-30). Let l(p) be the first derivative of 1 + 0*p**4 + p + 0*p**2 + 0*p**3 + y*p**5. Differentiate l(h) with respect to h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/7)\/s)**26\/(s**(-5\/2)\/((s**(-4)\/s)\/s)) assuming s is positive.\nAnswer: s**(-309\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 14. Suppose -9 = -v + c. Let n be 2\/(-8) + 81\/4. What is the greatest common factor of v and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29450 + 30110. Let m(t) = t**2 + 5*t - 3. Let w be m(-9). Calculate the highest common divisor of w and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {j: 1, x: 6, t: 3, k: 8, r: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -2\/43 (c) 5 (d) 0.2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -21. Suppose 5*a = 5*i - 40, -a = a + 2*i + v. Let h be -3*(a\/9 - 0). Solve -2*z + 3*z - 13 = 3*d, h*d = 5*z - 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6, 4, 2, -6, -26, -64?\n\"Answer: -j**3 + 6*j**2 - 13*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/7, -0.34, 1?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4864681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 115056 and 17612.\nAnswer: 29799504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 262, 523, 784, 1045?\nAnswer: 1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 17. Suppose 0 = -3*i + p*i - 105. List the prime factors of i\/45*(-1 + 367).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u - 107*u**3 + 2*u + 113*u**3.\nAnswer: 6*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -47, -121, -249, -449, -739, -1137?\nAnswer: -1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13440 (base 5) to base 9\nAnswer: -1474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2349716 or 8?\nAnswer: -2349716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 32*b**2 + 104*b + 96.\nAnswer: 2*(b + 2)**2*(b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, 3, 19 in decreasing order.\nAnswer: 19, 7, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535 is divided by 301.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*s - 45, 3*o + s = -4*s + 27. Suppose -o = 3*i - 6*i. Solve -4*a + i = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 499 = 499. Let v(q) be the first derivative of -13 + t*q**2 + 1\/4*q - 1\/12*q**3. Suppose v(m) = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 14. Let x be ((-2)\/(-20))\/((-4)\/(-10)). Which is the nearest to 0.1? (a) l (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 + 233. Is i equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (10\/(-56))\/(1\/4). Which is greater: 1\/27 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*((-2 - -6) + (-2905)\/14). Suppose o = 3*b + 8*b. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 886917665 a multiple of 3976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*m - 9*m - 85*m in the form q*m + t and give q.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 0 - 1\/3*b**3 + 13\/12*b**4 + 0*b + 164*b**2. Let g(v) = -2*v**2. Calculate g(l(w)).\nAnswer: -1352*w**2 + 208*w - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -75838*w**2 + 1. Let z(v) = 610*v. Give a(z(l)).\nAnswer: -28219319800*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12980 in -1, 0.5, -2, -5, -2\/3, -5\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. Let y = 4 - b. What is the nearest to -1\/4 in -2, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + 3*sqrt(1331)*-5.\nAnswer: -154*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -1664 - 994. Let r be (5\/(15\/n))\/(-1). Round r to the nearest 10.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1176)*-2)\/(sqrt(27)*2 + sqrt(3) + sqrt(15)\/(sqrt(20)\/sqrt(4))))**2.\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 4:59 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631 + 628 = -5*f + 4*i, f = 5*i + 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -63, -141, -219, -279, -303, -273?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - v. Let l(x) = -4*x. Suppose 71*y = 170 - 28. Determine y*o(m) + l(m).\nAnswer: 2*m**3 - 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49182568 is divided by 1069?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3301, -13194, -29683, -52768, -82449?\n\"Answer: -3298*r**2 + r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-71)\/(-5))\/(6\/15) and 343\/(-36) - 14\/63?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(3300) - sqrt(3300)*-1))\/((sqrt(75) + sqrt(75)*-1 + sqrt(75))*-3) + 4.\nAnswer: -8*sqrt(11)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/3 + 1)*-30. Let x be (-6)\/(-10) - 8\/r. Suppose 2*k + l - 46 = 0, -x + 6 = k - 4*l. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0458 from -1414696083.\nAnswer: -1414696083.0458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 - 400*a + 2765. Give s(126).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(14) + sqrt(14) + (sqrt(56)*1)\/sqrt(4))\/(sqrt(7) - (sqrt(7) + -3*(sqrt(7) - sqrt(28)))) - 1*((sqrt(16)*2)\/sqrt(8) - sqrt(18)*-1)) + 3)**2.\nAnswer: -36*sqrt(2) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10.447 + 22.9\nAnswer: 12.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 329 + -337. What is the nearest to 3 in -4, p, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 7. Let m = y + 13. Let f(w) = w - 4. Give f(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1046*k - 1398*k - 535*k + 882*k.\nAnswer: -2097*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2. Suppose d - 9 + 7 = 0. Let w be 6 + -3 + d + -3. Let r(t) = t**w - 36 + 36. What is q(r(f))?\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -500*i**4 - 15104760*i**3 - 570366310644*i**2\/5 + 54757775952*i - 6571037520 = 0.\nAnswer: -15105, 6\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {p: 1, a: 1, g: 2, q: 2, x: 7, f: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10838, -10845, -10856, -10871, -10890, -10913, -10940?\nAnswer: -10971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/189 + (-74)\/342?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -24, -90, -214, -414, -708?\nAnswer: -1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.0612453 years?\nAnswer: 0.7349436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4110 and 3288.\nAnswer: 16440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6875 = 575*c - 6*c - 294*c for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l**2 + 3*l - 4. Let z(i) = i**2. Calculate -s(q) - 6*z(q).\nAnswer: 2*q**2 - 3*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v + 33 + 23 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(432) + 5*(-1 + sqrt(432)) + 4)**2.\nAnswer: -24*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + s + s)*(-4*s**3 + 6*s**3 - 3*s**3) - 5*s**4 + 0*s**4 + 0*s**4 + (-2*s**3 + 2*s**3 + s**3)*(-4*s + 0*s + 2*s).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*t + c, 11 = -17*t + 16*t + 11*c. Solve t = 17*b - 23*b + 42 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4426 + -142?\nAnswer: 4254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58118825 is divided by 58118788.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 760547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -404, 145, -1, 3, 4 in decreasing order.\nAnswer: 145, 4, 3, -1, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -5. Suppose -3*z + i = -11, 3*i + 1 = -f*z - 6. Solve -5*k = -z*k + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 7121*z**4\/12 - 1771*z**3\/3 + z**2 - 1038*z. What is the second derivative of a(j) wrt j?\nAnswer: 14242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4675 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3706\/(-3960) + 12\/54. Let x be 390\/42 + -9 - 372\/1155. Let r = q + x. Which is the smallest value? (a) -1 (b) r (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)*i*i*(i\/(i\/(i\/(((i\/i**(-10))\/i)\/i)*i)))\/i*(((i**(-1\/5)*i*i)\/i)\/i)**(2\/23))**0 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1146*t - 11691 = -1579*t for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -364 + 368. Let d(p) be the first derivative of -10*p**3 + 9*p**2 - 2*p - 25\/2*p**j + 10. Let d(r) = 0. What is r?\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*f = -1044, 3*q + 3*f - 111 = 501. Suppose -5*g + q = -338. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 + -0.2. Let v = -29.6 + 34. Let w = 4 - v. What is the nearest to 0.1 in w, y, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*l**2 + 3 - 41*l**2 + 9*l**3 - 1 to p*l + q*l**3 + f + c*l**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21020321001 (base 4) to base 11\nAnswer: 1396a31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/27)\/(-1) + 0\/(-1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 2*a**2 - a + 1. Let m be h(1). Suppose v + 0 = -m. Let s(o) be the second derivative of 2*o**3\/3 + o**2\/2 + 52*o. Give s(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 + 71*k - 20. Let j be r(-18). Is j <= -137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*w + 6 = 2*w, -4*d - 4*w - 12 = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - 1. What are the prime factors of (4\/f)\/((-3)\/114)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 265673643?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7029403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (200\/(-24)*(-3)\/5)\/((-3)\/(-1))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 692\/14 + -10 - (-3)\/(-7). What is the highest common factor of s and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 430733269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 4*r**2 - r. Let x be u(2). Let d be 79*2*x\/(-4). Is (6\/(-18))\/(1\/d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**4 - 14 - 3*n**2 - 14 - 10*n**3 + 27 - 126*n - 3*n**3 + 15*n**3 as k*n**2 + p*n + q + y*n**4 + b*n**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 505 - 1342?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 14. Let u be n(12). Let a = 38 + u. Solve 4*y + 5*f - a = f, 3*y + 12 = 4*f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/13 + 180*q**2\/13 + 2376*q\/13 + 7344\/13 = 0. What is q?\nAnswer: -6, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2. Determine i so that -3*i**3 + 4*i + 11*i - l*i**3 - 10 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, h: 15}. Give prob of picking 3 u.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.13 - 0.87. Suppose n + 6*f = f - 20, 3*n = -2*f - 8. Suppose -c - 3*c + 4 = n. What is the nearest to 2\/9 in b, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.005634 millilitres?\nAnswer: 0.003005634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.879991 to two decimal places.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b + 2. Let j(s) = -s - 1. Let v(o) = -o - 1. Let q(h) = 3*j(h) - 4*v(h). Suppose 0 = 2*z + 3*z + 65. Let p = z - -24. What is p*q(n) - 6*k(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49398494?\nAnswer: 2, 101, 244547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -83*q**2 + 24*q**2 + 40 - 50*q**2 wrt q?\nAnswer: -218*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 + -3347\nAnswer: -3347.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 6 - 20*l + (1 - 1 - 1 + (0 + 2 + 0)*(-5 + 1 + 3))*(-7 + 2 - 4*l - 16) to the form f + g*l and give f.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9014 or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12, -21, -40, -75, -132, -217?\n\"Answer: -y**3 + y**2 - 5*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1293, 3013, 5881, 9897, 15061, 21373?\n\"Answer: 574*p**2 - 2*p + 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 41 - (-93 + 60)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert b48 (base 12) to base 6.\nAnswer: 11332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -3. Let f be p\/((-2 + 6)\/4). Solve 0 = -w + f*r - 0*r - 24, 5*w = -4*r - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/25)\/((-574)\/(-205)). Let 2\/21*y**4 + 0*y - x*y**2 + 0 + 4\/21*y**3 = 0. Calculate y.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/3))**(-23)*y**(2\/9)*y**(-10) assuming y is positive.\nAnswer: y**(-364\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 - 63505*y + 2164950 = 0. What is y?\nAnswer: -12735, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*q + 11. Let p(b) = -b**3 - 7*b**2 - 6*b + 5. Let f be p(q). Solve 3*d = -3*k - 9, 3 - 8 = f*k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9))**40\/((c**7*c)\/c**0) assuming c is positive.\nAnswer: c**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/8)\/w**4*w**4*w*w*w**4*w*w assuming w is positive.\nAnswer: w**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*b**4 + 5*b - 1286.\nAnswer: 36*b**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 8:24 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1568754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 72*m + 2. Let x(w) = 41*w**2 - 45*w + 2. What is x(g(p))?\nAnswer: 212544*p**2 + 8568*p + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13407546227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/221, 0, 14, -2, -4 in descending order.\nAnswer: 14, 0, -2\/221, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u + 9. Calculate the remainder when 9 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 5b?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5823697392 divided by 6?\nAnswer: 970616232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 l when four letters picked without replacement from {h: 3, l: 12}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60486 and 22746.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1.6, 1\/27 in increasing order.\nAnswer: -1.6, 1\/27, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443*r + 80640 = -59*r. Calculate the lowest common multiple of r and 168.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 254, 166, 2, -5, 28, -4 in descending order.\nAnswer: 254, 166, 28, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6*16\/288)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 16*u - 66 = 0. What is the closest to -5\/6 in -6, 1\/3, u, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2244.4, -10\/111, 2?\nAnswer: -10\/111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2*(-594)\/3168 - 186\/(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -11*r**2 + 4*r - 7. Let a(w) be the first derivative of -5*w**3\/3 + w**2 - 3*w + 84. What is -9*a(d) + 4*h(d)?\nAnswer: d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-42)\/(-4))\/(6\/8). Solve -6*g - y = -8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-5*k**3 + 3*k**3 + 3*k**3) - 4*k - 1 + 4*k + 8*k**3.\nAnswer: 10*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/(-693))\/(12\/(-66)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h**(-6\/7)\/h)\/h*h*h*h)\/((h\/((h*h*h**(-1\/4)*h*h)\/h)*h)\/h))\/(h\/((h**(5\/2)\/h)\/h)*h*h**(1\/2)))**(-15))**(-36) assuming h is positive.\nAnswer: h**(-405\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6821 + -7671. Is i greater than -849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-236)\/(-5) + (-8)\/(-10). Suppose -m - k = 3*m. What is the units digit of (m\/(-10))\/((-6)\/(-260))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 1a?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2\/3*s**2 - 2\/3*s = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*m + 87*m - 68*m.\nAnswer: 122*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = 15*y - 25 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 101.22956 - 101.06167434. Let t = v + -0.1679. Round t to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -21*g**4\/4 - 7*g**3\/3 - 22. What is the third derivative of p(m) wrt m?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-128)\/192)\/((-2)\/(-1))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9131, -9118, -9079, -9002, -8875, -8686, -8423, -8074?\nAnswer: -7627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*v = -125, 0*v = 2*y - 5*v - 50. Suppose 0*n = 5*n - y. Suppose 0 = -w + x - 6999, -3*w + 6*w + 20995 = n*x. Round w to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(119)*5)\/(sqrt(28)*1) + sqrt(833) + -2 + (1*sqrt(68))\/sqrt(4))**2.\nAnswer: -12*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*r + 0*r + 2*r)*(-4 + 4 + 3) - 2*r + r + 0*r)*(-30 - 193 - 188) as x + c*r and give c.\nAnswer: -2055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**4 - 2*a**3*w - 120*a**3 + 3*a**2 - 34*a*w + 63*a - 11*w wrt a?\nAnswer: -36*a**2 - 12*a*w - 720*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/150 and 87\/1192400?\nAnswer: 3577200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a*a**11)\/a))\/a)\/a**(-50) assuming a is positive.\nAnswer: a**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 32 + 3*z - 32. Determine u(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 7*q. Let h(r) = 2*r + q*r + 2*r. Let n(k) = 2*k**2. What is h(n(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 + 8.62?\nAnswer: 8.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.5 - 10. Let p = 15\/46 + -181\/414. What is the third smallest value in h, 0.3, 5, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((336\/(-80))\/(-7))\/((-30)\/(-20)*174\/10).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*f + 46*f - 3174 = 1236 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1119*s - 4706 + 22223 = -20529 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10 + 9 + (3 - -3 - 0). Solve 0 = -l - k + 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3668320679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -5. Suppose -r = b*q - 1, -r + 19 = -3*q + 3*r. Let w be ((-1)\/5)\/(12\/(-20)). Sort -4, w, q.\nAnswer: -4, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2 - 4 = 0, 2*q = 3*d + 7. Suppose 45 = q*o - 35. What is the tens digit of (o\/(-6))\/(12\/(-90))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8365 - 4181 + 12884*j**2 - 12849*j**2 - 4184.\nAnswer: 35*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33748*281.1.\nAnswer: 9486562.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**4\/24 - g**2. Let y(q) = 9*q - 4*q - 2*q + q. What is y(j(f))?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h + 10. Suppose 2*p + 3*p = -m + 45, -5*p + 2*m + 45 = 0. What are the prime factors of o(p)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4945 at least -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 43*h + 633. Determine s(-15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 246382.\nAnswer: -24638.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -552 + 2064. Does 56 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 5:45 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -37158, -37160, -37160, -37158?\n\"Answer: x**2 - 5*x - 37154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/(-54))\/((-4)\/(-16)))\/(26\/234)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-130 + 137 + 48)*(-2*s - 4*s**2 + 2*s) + 31*s**2 + 54*s - 54*s)*(0*s - s + 0*s) in the form n + j*s**3 + u*s + h*s**2 and give j.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/56 and (21948\/504)\/(-31) - 1*2.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**2*h**4 + 3*g**2*h**2 + 75*g*h**4 + 21*g*h**3 + 29985*g*h**2 wrt h.\nAnswer: -96*g**2*h + 1800*g*h + 126*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010200 + -122020?\nAnswer: 111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392100 is divided by 168.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 53*u**6\/4 + 3*u**5\/20 + 11*u**4\/24 + 1045*u**2. What is the third derivative of y(x) wrt x?\nAnswer: 9540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -78548 divided by 292?\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 4, -7 in ascending order.\nAnswer: -7, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 3*a - 2*a + a + 0*a + 0*a + (-2 + 3 + 1)*(0*a + 3*a - 5*a) + 0 + 5 + 12 + a + (1 + 0 - 5)*(2*a - 1 + 1))*(2 - 2 - 2)*(a - 2*a**2 - a).\nAnswer: -56*a**3 + 68*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/63)\/(220\/(-4950)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769 is divided by 215.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13732?\nAnswer: 2, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11816.9993589 + 11817. What is u rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/644 and -5\/802401.\nAnswer: 22467228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + sqrt(288)*1*-5) + ((sqrt(288) + -1)*-3 - ((-3 + (sqrt(288) - -1*sqrt(288)))**2 + sqrt(288))) + 0.\nAnswer: -1167 + 276*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1a2b (base 15) to base 11\nAnswer: 4291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -380.1 + 404. Let n = z + -24. Which is the nearest to 0? (a) -5 (b) n (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -1. Let w(u) be the first derivative of 3 - 2 + 2*u**2 - m*u**2. Let p(j) = -j. Determine w(p(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-8)*(-16)\/6. Let j(t) = 2. Let k(z) = z. Let w(f) = -j(f) + 4*k(f). Let i(x) = 15*x - 7. Calculate p*i(b) - 22*w(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9 = 3. Suppose -60 = -4*h - h - 2*y, -t*y = -3*h + 62. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-18))\/(1*1\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -21936?\nAnswer: -15\/7312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807310152?\nAnswer: 2, 3, 11, 19, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 10:10 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51\/5 of a meter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.532115008 rounded to two decimal places?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -38, -27, -16, -5, 6?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 2\/25*m**5 + 0*m**2 + 2*m + 0 - 1\/15*m**3 + 1\/10*m**4. Factor h(k).\nAnswer: 2*k*(k + 1)*(4*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 66483, 66508, 66557, 66636, 66751, 66908, 67113?\n\"Answer: i**3 + 6*i**2 + 66476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -17*k + 1. Let t be v(1). Let x = -10 - t. Let z = 6 - x. Which is bigger: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**3 - 4*k**2 + 1. What is the remainder when 77 is divided by h(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzzz. Give prob of picking 3 z.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1988)\/(-2556))\/(70\/(-12))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 24755, 99279, 223477, 397343, 620871, 894055, 1216889?\n\"Answer: -w**3 + 24843*w**2 + 2*w - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3900906 divided by -12267?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2507, -10044, -22599, -40166, -62739, -90312, -122879, -160434?\n\"Answer: i**3 - 2515*i**2 + i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - f = 2*z - 464, -3*z + 4*f + 439 = 0. Let a = -108 + z. Suppose -2*c = -4*k - c + 36, 5*k - c = a. Solve t = -2*t - k, -5*t - 13 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + -3 + sqrt(275)*2 + sqrt(22)\/sqrt(2) + -2 + (sqrt(11) - (1 + sqrt(99))) + 1)**2 + 5.\nAnswer: -162*sqrt(11) + 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2237974141 rounded to five decimal places?\nAnswer: 0.2238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.037? (a) -29.7 (b) 49.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.631 * 572.\nAnswer: -3792.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 - 2*i**2 + i**2 + (-3*i - i + 2*i)*(2 - 16*i - 2) to the form p*i**2 + q + a*i and give p.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(24)\/sqrt(3)))\/(-6*(sqrt(3) + sqrt(12) - sqrt(3))).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -32*f**3 - f**2 + 1. What is the lowest common multiple of p(-1) and ((-8)\/(-5))\/(6\/75)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -39\/710902?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 88 = 8*j. Let p = 21 - j. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 10:48 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11944 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -t**4 + 145*t**3 + t + 4616?\nAnswer: -4*t**3 + 435*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -213060 - -213062. Factor 400 + 4\/9*u**k - 80\/3*u.\nAnswer: 4*(u - 30)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.8 minus -1?\nAnswer: 107.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 17*k = 20*k + 5, 13*k = 16*k + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 + 190*h - 61828\/5.\nAnswer: 2*(h - 58)*(h + 533)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -4, -14, 4 in ascending order.\nAnswer: -14, -4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:14 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6457 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/241591790 and -109\/18?\nAnswer: 2174326110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -16511*h**2 - 1139260*h - 71. What is f(-69)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.9 + -3. Which is the closest to h? (a) -0.3 (b) -5\/2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 2*d**2 + 513*d + 4*d**2 + 24.\nAnswer: 6*d**2 + 513*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 1886847.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 82\/287 + ((-10848)\/(-14))\/(-3). Let h = 263 + n. Let c(u) = 3*u - 8. Give c(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3406245 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - p + 3, 3*p + 24 = 39 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 816.\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9*h**3 - 11*h**2 + 11*h - 12. Let p(s) = -s**3 + s**2 - s + 1. Calculate -22*p(w) - 2*r(w).\nAnswer: 4*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + 3*z**3 + 3*z**3)*((2*z**2 - 26 + 26 - 2*z)*(1 - 1 - 1) + (2*z + 0*z + z)*(2*z + 3*z - 4*z)).\nAnswer: 3*z**5 + 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 6:40 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -27*f. Let l be b(2). Let o = 76 + l. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -26*t - 12. Let g(x) = -53*x - 24. Let d(y) = 3*g(y) - 7*v(y). Let l(o) = -70*o - 37. Let a(j) = 7*d(j) + 2*l(j). Is a(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 - 52. Suppose 24*y + 31*y = 15345. Calculate the remainder when y is divided by d.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsy when three letters picked without replacement from {i: 1, y: 2, l: 1, r: 3, w: 3, s: 9}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29 or 545\/12?\nAnswer: 545\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*m - 6. Suppose -2*c + 2*s = 0, 4*s + 7 = -2*c + 25. Suppose -14*n**3 + 25*n**3 + 2*n**2 - n**5 - 2*n**4 - m*n**c = 0. What is n?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/4? (a) 0.3 (b) 14 (c) -3\/4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/28)\/(66\/44).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6852, -6995, -7138?\n\"Answer: -143*y - 6709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 499 + -700. Let s = -3821\/19 - q. Sort 0.4, 5, -3, s.\nAnswer: -3, s, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 89*w**2 - 44*w - 1. Let n(d) = -81*d**2 + 45*d + 1. Calculate -3*i(g) - 4*n(g).\nAnswer: 57*g**2 - 48*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 371520009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 10:38 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -i - 76, 5*b + i - 5*i - 115 = 0. Let c = b - 14. What is the remainder when 54 - (-3 - -6*1) is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-5)*(2 + 3). Suppose -4*a + 4 + 8 = 0. Differentiate 2*n + a*n**t - 3*n + 3 + n with respect to n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 - 109 + 0*q**2 + 224 - 3*q**3 - 59*q - 117 to the form c*q**2 + f*q + x + w*q**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33466158?\nAnswer: 2, 3, 11, 173, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13214.0127 hours to weeks.\nAnswer: 78.6548375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 + -7 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17150373 or -17150375?\nAnswer: -17150375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 145719 = -86753. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times -0.109?\nAnswer: -0.00545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1)*(j + 2*j**2 + 2 - j).\nAnswer: -6*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 3*f**2 + 4*f - 4. Let k be y(4). Let j = 41.9 + -42. Which is the closest to j? (a) k (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.056 (b) 1 (c) 6 (d) -0.4 (e) 2\/361\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/120)\/((-77)\/44*-5*(-40)\/(-875))?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 75*p**3 + 6*p**2 - 7*p. Let x(k) = -77*k**3 - 4*k**2 + 7*k. Calculate -2*b(l) - 3*x(l).\nAnswer: 81*l**3 - 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/22 and -51\/4276.\nAnswer: 47036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 84 = 5*s + 3*r, 65 = 5*s + 2*r. Calculate the remainder when 24 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 428.4 + 6.19503.\nAnswer: 434.59503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3664, -14646, -32956, -58600, -91584, -131914, -179596?\nAnswer: -234636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*p + 2266 = 8041. What is the highest common divisor of p and 1067?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237666.\nAnswer: 2, 3, 11, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.147 in -2\/5, 63, 13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3022083 + -912083. Round d to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -25. Let h = w + 11. Suppose -2*s + m + 21 = -0*m, -h*s + 42 = -5*m. Calculate the highest common divisor of 63 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217.99 times 288\nAnswer: -62781.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12589052.\nAnswer: 2, 7, 449609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -17*n**2 - 5*n - 14. Suppose -334 = -9*j - 370. Let q(b) be the first derivative of 2*b**3 + b**2 + 5*b + 34. What is j*u(i) - 11*q(i)?\nAnswer: 2*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*k - 3593, 0 = 2*x + 4*k - k - 1441. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/(sqrt(5) + (sqrt(25)*3 + sqrt(25))\/sqrt(5)) - (-3 + sqrt(637) + 4 + -1))**2.\nAnswer: 14157\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -1, 435, 11 in increasing order.\nAnswer: -1, 4, 6, 11, 435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*z - 30, 3*z + z - 21 = b. Suppose -u + z = 4*o, 4*u - o - 5 = 2*o. Does 29 divide (4 + 0 + 33)*u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 569*l - 12227 - 3136 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 105989 or 529951\/5?\nAnswer: 529951\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/28*(1 + (-35)\/(-14)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 15) to base 3.\nAnswer: 22102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -12 + 11 + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -123*q - 5025 + 7731 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002139367235 rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442499.\nAnswer: 442499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -4*z**2 + 0*z - 1\/3*z**3 + 9. What is the second derivative of h(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.566727 millilitres to litres.\nAnswer: 0.002566727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, d: 1, m: 3, u: 1}. What is prob of sequence umm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/5 - 4\/10. Does 2 divide (3 + 0)*z - -13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - 4*b - 3*b + 5)*((-b + 0*b + 0*b)*(0 - 2 + 1) - 2 + 2*b + 2).\nAnswer: -3*b**2 + 15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14240 is divided by 14076.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 1 + sqrt(847) + -3 + sqrt(847) + -6*sqrt(847)*1 + 1 + 6*(-2 + sqrt(847)*2))**2.\nAnswer: -2574*sqrt(7) + 68776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 12*c**2 - 2*c - 3. Let r(z) = -26*z**2 + 3*z + 5. Give -5*b(s) - 3*r(s).\nAnswer: 18*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 502452161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + 4*k**3 - 4*k**3 + (-1 + 5 - 2)*(3*k**3 + k**3 - 6*k**3) - 7*k**3 + 2*k**3 + 0*k**3 - 4*k**3 + k**2 + 1 + 2*k**3 + k**3.\nAnswer: -9*k**3 + k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 267865.7 tonnes in kilograms?\nAnswer: 267865700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 5) in base 3?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + 14 + -13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -q - 3*h, 2*q - h + 6 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.35 - 10.15. Sort 1\/2, -1\/2, v, -5\/13, -5 in descending order.\nAnswer: 1\/2, v, -5\/13, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 - 4*g**2 + 24*g + 23. Let c be v(3). Which is smaller: 2157 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + (-8)\/(-2))*(-3 + 4). Put 0, 3, s, 24 in descending order.\nAnswer: 24, s, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152066836 or -152066835?\nAnswer: -152066836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 915*r + 928*r - 5*r**2 + 926*r + 24*r**2 - 2769*r.\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4\/3 - 29*d**3\/3 - 83*d**2 - 491*d\/3 + 770\/3 = 0.\nAnswer: -14, -11, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - 2*v**5 - v**2 + (18*v**3 + 19*v**2 - 19*v**2)*(0 + v + 0)*(2*v - 4*v + 3*v).\nAnswer: 16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/(-147) + (-21)\/49)*(-558)\/155?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**8*q))\/q*q**(1\/7)*q**(-24)\/q*q**(-3\/17) assuming q is positive.\nAnswer: q**(-4288\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**4 - 2*n**2 - 11 + 4*n**3 + 6 + 7 as b*n**4 + q + w*n**3 + x*n + p*n**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 9.1. What is the fourth biggest value in -0.2, h, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-4 - (2 - 9)) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and -193?\nAnswer: 5790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (17 + -22 + (-1 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9777?\nAnswer: 3, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -50 + 19*g + 50 as k + c*g and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - -2. What is the greatest common factor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 13*v**2 + 16*v + 6. Let g be h(14). Suppose p + 27 = 9. Let o = p + g. Calculate the highest common factor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*j - 336 = 0, -4*j - 76 + 416 = 3*p. Suppose 8*s + p = 14*s. Suppose 4*g = 13*g - s. Solve -5*n - 15 = -g*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6 and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-13 - -6) + 5 - -349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3 (b) 1\/3 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 810 = -6*s. What is the remainder when 208 is divided by s?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/((-8)\/132). Is -7 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1183*x = -5*l + 1184*x + 43, 45*l - 2*x - 366 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 45893 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-54)\/1)\/((-16)\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.332106 nanometers?\nAnswer: 0.000000005332106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/(-84) + (-2)\/(-4))*7. Suppose 32*p = 30*p + 40. Suppose -1 - 13 = -2*g + 2*w, 0 = -2*g + 4*w + p. Solve -3*t = -4*d - 8, -g*t - 5 + 23 = n*d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -g + h, 5*h - 14 = 3*g - 2*g. Suppose 3 + g = 2*u. Suppose 3 = p - 0. Sort u, 1, p in descending order.\nAnswer: p, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 19. Let a be h(13). Let k(o) = o - 6. Let t(z) = 1. Let g(j) = 1. Let i(y) = -4*g(y) + 3*t(y). What is a*i(q) + k(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3468141469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: -8.92691 * -0.002\nAnswer: 0.01785382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**2 + 2*p - 1. Let v be j(1). Suppose -d + 2*r = -50, v*d + r = 3*r + 226. Calculate the greatest common factor of 66 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/131, -4, 2\/3, -3?\nAnswer: 1\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173038?\nAnswer: 2, 241, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**5)\/c)\/c**(-4))**(-3\/14) assuming c is positive.\nAnswer: c**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(847) + 0)*5 + (-3 + sqrt(847) + sqrt(847)*5 + sqrt(847) + 2)**2 + 0.\nAnswer: -484*sqrt(7) + 41504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -103*o**4\/4 + 8*o**3\/3 - 203. Find the third derivative of p(a) wrt a.\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.1, 0.11, -3, 47 in ascending order.\nAnswer: -3, -1, 0.1, 0.11, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, 28002, 0.3?\nAnswer: 28002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -236, -244, -264, -302, -364, -456, -584?\n\"Answer: -t**3 - t - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 + 2*m**4 + 2*m**3 + m**2 + m**2 + m + 3*m**2 in the form c + q*m**4 + o*m**3 + b*m + p*m**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1824780 to the nearest ten thousand.\nAnswer: 1820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13305\/14 + 951. Let y(t) be the second derivative of -11\/10*t**6 + k*t**7 + 0 + 0*t**3 + 0*t**4 + 2*t + 0*t**2 + 3\/10*t**5. What is c in y(c) = 0?\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*p + 6*p - 2*p - 4*p to h*p + t and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*z - 69, -12*z + 8*z + 44 = 2*o. Solve -z*q + 17*q + 20 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - v + 3 = -0, 2*v - 6 = -5*k. Put k, 3, -9, -2 in decreasing order.\nAnswer: 3, k, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 7) to base 3.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323780673?\nAnswer: 3, 37, 2916943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 10:58 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*u + 1100, 3*u + 4*c = u - 470. Let q = u - -561. Is 28 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 9*o + 39. Let m be r(3). Suppose 2*w = -q + 1166, 5*w - 2921 = -q - m*q. List the prime factors of w.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -42\/25, -2, -3, -0.206?\nAnswer: -0.206","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 133690754 divided by -2?\nAnswer: -66845377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382840469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 796 - 787. Solve -b*x + 16 = -29 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(-1\/25))**34\/((i**(-1\/2))**(-19))**(4\/27) assuming i is positive.\nAnswer: i**(-1868\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**3 - 8*j**3 - j**2 + 12*j**2 + 7*j**3 to the form m*j**2 + l*j + y*j**3 + f and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -16794*c**2 + 11*c + 2. Let v(l) = -221*l. What is v(i(o))?\nAnswer: 3711474*o**2 - 2431*o - 442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 11*q**2 - 4 - 4*q**2 - 6*q**2. Give f(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -47?\nAnswer: 32\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**3 - 11*a**2 - 11*a - 11. Let p(w) = 2*w**3 + 4*w**2 + 4*w + 4. What is 4*i(c) + 11*p(c)?\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 351179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-135)\/(-117) - (-2)\/(-13). Is 6 + -4 + 87*b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -66*x + 4. Let f(t) = -2*t. What is s(f(p))?\nAnswer: 132*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002 minus 1.2?\nAnswer: -1.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 6\/31 (b) 9 (c) -2\/49 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**3 - 206 - 4*c**3 - 177 + 346.\nAnswer: c**3 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = c - 3*d - 22, c + 6 = -2*d. Let m = -104694 + 104690. Put c, 1, 4, m in descending order.\nAnswer: 4, c, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194 (base 10) to base 2.\nAnswer: 11000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + -1*sqrt(1250)*-1) + ((sqrt(1250) - (sqrt(1250) + 0 - sqrt(1250)) - sqrt(1250)) + -1 + (sqrt(1250) + 0 + 0 - sqrt(1250)))*-4)**2.\nAnswer: 200*sqrt(2) + 5004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 13*h**3 - 1051*h**2 + 45407*h + 28. Let t(c) = 7*c**3 - 526*c**2 + 22703*c + 16. Let f(n) = 4*g(n) - 7*t(n). Factor f(a).\nAnswer: 3*a*(a - 87)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a millennium in years?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6095 and -6.593?\nAnswer: -40184.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1869804 is divided by 52.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 22 = 19*y - 17*y. Solve 0 = -3*n - 0*l + l + 2, 3*l + 13 = y*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 4*n**2 - 2*n + 1. Let f be l(3). Suppose -2*i = 4, 0 = -k + 5*i + f + 9. Suppose 4*v - 8 = k*v. Solve 0 = c + 3*c + v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 + o + 12*o + 5*o in the form q*o**2 + t + a*o and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-11) + -13 + (-2148)\/(-44). Suppose o*y - 1839 + 111 = 0. What is the greatest common factor of y and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2. Let h be (1 + (-6)\/4)*0. Suppose -4*v + 5*k - 18 + 2 = h, -4*v = 3*k - 16. Let d(t) = 7*t**2 - t. What is v*d(a) + 5*z(a)?\nAnswer: 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 65420*u**2 - 255*u + 113010. Let h(t) = -4673*t**2 + 18*t - 8072. Let p(g) = -85*h(g) - 6*x(g). Differentiate p(i) with respect to i.\nAnswer: 9370*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**3 + c**2. Let d(i) = 9*i**3 + i**2 - 3*i + 6. Calculate -d(o) + 2*k(o).\nAnswer: -3*o**3 + o**2 + 3*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 569 - 567. Let i(t) = t**3 + 6*t**2 + 2*t - 17. Let v be i(-5). Sort v, 1, z, 4 in descending order.\nAnswer: 4, z, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (728\/(-6))\/((-2)\/(-18)). Let x = p - -4437. Suppose 0 = 5*a + 3*c - c - x, -5*c = -3*a + 2038. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 + 0*j**3 - 127*j + 134*j - 7*j - 6*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 1918764.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + n)*(n - 2*n - n)*(324 + 203 + 117).\nAnswer: -1288*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -196, 8, -5.\nAnswer: -196, -5, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + (36 - -2 - 20) + -16.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*u - 151 - 35 = -7*u. Let s be (-7)\/(-9) + 6\/27. Let k(d) = 1 + 3*d + s - d. Give k(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, a: 1, k: 5, q: 1}. Give prob of sequence mm.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4*q - 345, -4*c + 0 = -3*q - 277. Is 72 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*sqrt(216))\/(sqrt(40)\/sqrt(20)).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000059089604 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 2*f. Let y be w(-2). Suppose 4*u - 16 = 0, y*o + 28 = 2*o - 4*u. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/4, -3.7, -21.4, -23, 0.1?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3967*m**4 - 27*m**2 - 19*m + 9. Let o(b) = 7933*b**4 - 54*b**2 - 39*b + 15. Let p(r) = 5*g(r) - 3*o(r). Find the third derivative of p(d) wrt d.\nAnswer: -95136*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j**2 + 10*j + 35. Let b be t(7). Is 12 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 0*i**2 + 1\/6*i**4 + 5\/56*i**8 + 0*i**3 + 0*i**5 + 0 + 0*i**6 - 29*i + 0*i**7. What is the third derivative of f(g) wrt g?\nAnswer: 600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -13. Let r = 55 + h. Suppose 2*y - r = -2*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 + 0.11. Let x be 7\/(175\/6)*1*-1. Let g = x - -11\/25. What is the third biggest value in 4\/7, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 2 + 6 - 3)*(-3 + 0 + 2).\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 2)*(4 - 6*k - 4)*(-2 + 6 + 8) + (-k + 0*k + 0*k)*(-2 + 0 + 4) + 8*k - 8*k - 10*k.\nAnswer: 132*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -11*w**3 + 14*w**2 + 23*w + 8. Let g(q) = -2*q - 5*q - 4*q - 7*q**2 + 5*q**3 - 4. Let s(t) = 13*g(t) + 6*o(t). Is s(-7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**3 + 386655*g**2 - 78283900*g - 78670560 = 0.\nAnswer: -1, 204, 77128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 2 = o + 5*k, -13 = -3*o + 5*k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m. Let p(f) = 12*f. Give p(h(u)).\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 966*s**3 + s + 748*s**2 - 748*s**2.\nAnswer: -966*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 33 - (-76 - (17 + -24)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnllnlnckllisnlnc. What is prob of sequence llns?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -633474, -633436, -633398, -633360, -633322, -633284?\n\"Answer: 38*d - 633512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-30 + 15 - -19)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2216*b + 1495 = 2515*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 485.\nAnswer: 3395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.74 - -22. Suppose 0 = 6*n - 7*n - 3*y + 18, -5*y = 4*n - 37. What is the second biggest value in q, 2\/3, n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*a**3 - 402576*a**2 - 671110*a - 279650.\nAnswer: 2*(a - 5593)*(6*a + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 705*c**2 + 1767*c**2 + 5*c**3 + 43*c**2 + 852845*c + 1615*c**2.\nAnswer: 5*c*(c + 413)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 u when three letters picked without replacement from {u: 1, m: 7}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7068 by -196.\nAnswer: -1767\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 295 - 239. Let v be (6\/(-7))\/((-16)\/h). Solve k - v + 0 = -2*m, 0 = -5*k - 2*m - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -5*p**4\/4 - 2*p**2 + 9*p + 1244. Let q(y) = 10*y**3 + 7*y - 17. What is 11*d(x) + 6*q(x)?\nAnswer: 5*x**3 - 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -18, -0.5, 13, 420, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s = -20*s - 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 33*l - 11. What is the units digit of k(44)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700)*2 + sqrt(1700))*-6 + sqrt(1700) + sqrt(1700) + 0 + 1 + sqrt(1700))**2*5.\nAnswer: -1500*sqrt(17) + 1912505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 + 31*q**2 + 41*q - 8. Let p be n(-14). Calculate the smallest common multiple of 22 and 432\/21*(p - -1).\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487123 is divided by 426?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 51) + -45 + 60 + (79 - -3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 3 + 2)*(0 - 2 + 0)*(-1 - 5 + 5)*(k - 4*k + 0*k) + 36*k - 13*k + 13*k as a*k + w and give a.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 386 + 174 = 0. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91839*u**2 - 45914*u**2 - 3 - 45900*u**2.\nAnswer: 25*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24242 is divided by 1516.\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3136)\/(-196) + 108\/(-7)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -6156?\nAnswer: -6161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -76?\nAnswer: -7\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1017 - 683. Suppose 3*o - 102 = w, -w + f = -4*w - 5*o. Let s = w + 116. What is the lowest common multiple of 266 and s?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2871 + 2753 - 4814)*(-2*u + 1 - 1)*(-3*u**3 - 4*u**3 + u**3) to m*u**4 + v*u**3 + i + n*u**2 + k*u and give m.\nAnswer: 9720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5537290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -90, -159, -216, -255, -270?\n\"Answer: n**3 - 76*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 56*k**2 + 312*k - 17417. Give q(56).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - u - 153. Let m be h(0). Is 10 a factor of (-1 + m\/6)*(-7 - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 - 23. Calculate the remainder when j is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1728 - 72 = -10*q - 200. Sort 2, q, 5.\nAnswer: 2, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/(-9))\/(145\/87))\/((-156)\/31824).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 19*q**3 - 2*q + 1. Let t be d(1). Let j = t - 6. Suppose -2*a + 4 + j = 0. What is the highest common factor of 88 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1039462 and -1.5.\nAnswer: -1039463.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 154 + -2.947\nAnswer: 151.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 22 - (-972807)\/(-3608)*1\/15.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -208 by 52.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 1934*a + 9 = 1933*a, 2*h - 4 = 3*a - 25 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 17. Let h be ((-8)\/(-3))\/((-3 - 2)\/(-15)). Let p be m(h). What is the tens digit of p\/(4 + (-205)\/50)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1274 and 366275.\nAnswer: 732550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14 + 207*c**2 + 282*c**2 - 9*c**2 - 7*c wrt c.\nAnswer: 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9226084*a**3*i**3*y - a**3*i + 182*a**3 - 3*a*i**3 - 2*i**2 with respect to y.\nAnswer: -9226084*a**3*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 5*i - 128. Suppose 2*o = -i - 61. Let f = o - -150. List the prime factors of f.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017614 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a. Let l(x) = x. Suppose -3*g + 17 = 2. Calculate g*l(z) + 2*v(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23529\/5 - -4705. What is the closest to 2\/5 in 5, q, 1\/5, -0.47?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + -1.71. Let f = -0.79 + m. Suppose -5 = o + 3*o + 5*t, -2 = -4*o + 2*t. What is the third smallest value in f, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 74*h + 733. Give o(10).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 > -166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -411062 - -586981. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*r = 99*r + 12. Let g be 5\/(-60)*1814 - 1\/r. Is g at least as big as -151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2. Let l(s) = 152*s**2 + 48*s**2 - 361*s + 361*s. Give l(j(g)).\nAnswer: 800*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 49662197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 4*q - 76, -2*q - 16 = -6*q. Suppose -3657 = -j*i + 1695. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -779*b - 3. Let y(o) = 3*o. What is z(y(w))?\nAnswer: -2337*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(11)*3*5.\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 190597*q**2 + 357*q**3 + 190597*q**2.\nAnswer: 357*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 l when four letters picked without replacement from {y: 3, l: 7, s: 2}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25269 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 99026102 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 68*j + 62. Let t be r(-10). Let p = t - -973. What are the prime factors of p?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 2*l - 5*l)*(-3*l + 6 - 14 + 8).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*k - 5*k**3 - 3*k**3 - 51*k in the form c*k + i*k**2 + t + a*k**3 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.36 and 2964.\nAnswer: 2964.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*v + 8*v + 18*v)*(5 + 4 + 3) - 2*v + 6*v - 2*v.\nAnswer: 494*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 0.4, 1151\/4 in descending order.\nAnswer: 1151\/4, 0.4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 7 = 2*b + o, -8 = -5*b + 2*o. Calculate the common denominator of b and -52\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 32 = -3*t, 6 = -t - 12*n + 8*n. Suppose t*w - 115 = 277. What is the remainder when 28 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 300 - 1?\nAnswer: 2dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 9. Suppose 5*h - 21 = h - 5*j, o = 5*h - j. Factor 14*t**3 + 2*t - 8*t**3 + 6*t**2 - t**h + 3*t**4.\nAnswer: 2*t*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1627 + -1627. Solve -39*m + 79*m + 80 = k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -2\/7, -126, 61\/15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18474716 plus -4?\nAnswer: -18474720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37240 (base 10) in base 14?\nAnswer: d800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1047*d - 3167. Determine y(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4*n + 21 = 0, n = -z - 0*z + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 10*v - 14. Let z be h(7). Calculate the highest common divisor of 203 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-v - 3 + 3)*(-3 - 4 + 6) - 2*v + 1 - 1)*((-v + 3*v - 3*v)*(-3*v + v + v) + 5*v**2 - 54*v + 88*v - 47*v) + 4*v**3 + v**3 + 0*v**3.\nAnswer: -v**3 + 13*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41372227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364934305?\nAnswer: 5, 72986861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (-1 - -10 - 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -264 - -333. Let g = -19 + b. Is g <= 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 583 + -585. Let w(j) = -8*j**3 + 3*j + 1. What is the remainder when w(a) is divided by 40?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 530 (b) 5 (c) -685 (d) -1\/3 (e) 1 (f) -1 (g) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7\/g**(2\/13))\/(g**2\/(g\/(g\/g**(-7))))*((g*g\/(g*g\/(g*g**(1\/3)\/g*g)))\/(g*g*(g**(-14)\/g)\/g))**(21\/2) assuming g is positive.\nAnswer: g**(2065\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 - 3*w**4 - 25*w + 18*w**4 - 8*w - 43*w + 125*w + w**3 - 1 to the form c*w + g*w**2 + z*w**3 + v*w**4 + k and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + n + 8. Let k be x(-6). Let l = k + 58. Suppose -2*r = -0 - l. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104595 divided by 5505?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*m = -103, -5*q + 96 = m + 3. Solve 5*o + q = -1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2460 = -4*f, 0 = -f - 2*f + w + 1843. Is 6 a factor of f\/(2*(-6)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/387 >= 21\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 26 + 54 = 0. Suppose -i*o = -22*o + 45. Solve -o*q - 24 = 9*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*w + 69*w + 5*q = 27, -5*w + 5*q = 30 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129585, -259179, -388773, -518367?\nAnswer: -647961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20367 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 104\/(-338) + 68\/442 + 830\/(-13)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -2 + 1)*-1. Suppose -d + 3*d - 10550522 = x. Suppose d = 5*w - 7224739. What is w rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/14 - (-4 + 2). Let r = -2082 - -2085. Which is the nearest to t? (a) 7 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 850 = q + 4*i, -3*i = q + 170. Let u = -37 - q. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omez when four letters picked without replacement from mmeszomfomofoe.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 4537506*m - 18149976.\nAnswer: -3*(m - 1512498)*(m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 327, 710, 1743, 3750, 7055, 11982?\n\"Answer: 54*b**3 + b**2 + 2*b + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24585760 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: Simplify ((sqrt(170) - (sqrt(170) + (sqrt(170) - sqrt(170)*-1)))*4 + -2*-2*sqrt(170))\/((sqrt(90) + 1*sqrt(90))*-3).\nAnswer: 2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199581?\nAnswer: 47, 25523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -189 - -194. Suppose 0 = -2*h + 4 - 2. Put 3, -4, h, w in decreasing order.\nAnswer: w, 3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2829250 and 1459893?\nAnswer: 364973250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 753392353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -510*d - 91352. What is o(-179)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -587*f**2 - 6533*f*p - 13829109*p with respect to f.\nAnswer: -1174*f - 6533*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from {a: 1, m: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8688 + 8687.96091. Let c = d - -0.039. Round c to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 16 - 8)*(f**5 - 2*f**5 + 3*f**5).\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 3*y**2 - 2. Suppose -3*s - s = 12. Let v be u(s). Suppose 4*t + h - 12 = 0, -t - h = -0*t. Sort t, -5, v in ascending order.\nAnswer: -5, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.17 + 0.29. Let m = -33.88 - s. Let b = 34.3 + m. Is -1 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10208344823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52796032?\nAnswer: 2, 59, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*r**5 + 3167*r**4 - 9568*r**2 - r + 1.\nAnswer: -300*r**2 + 76008*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a, 5*v + 5*a = -445 + 425 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 a factor of 992794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5036 + 5051. Let v(r) be the first derivative of r**4\/2 - 31*r**3\/3 + 8*r**2 - 8*r + 4. What is v(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 3*w**2 + 13*w + 4. Does 19 divide z(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3 = -z, 2871*l + 4 = 2872*l - 5*z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5289698 and -3.\nAnswer: 15869094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 25 = -4*g, 4*g + 10 + 5 = -3*t. Let c = 28 + -12. Suppose i - 4*v + 2 = g, 2*i + 4*v + c = 6*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 13\/(-3))*1\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43595249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c. Suppose -5*r - 3 = x - 2*r, -4*r - 61 = -5*x. Let q(b) = b**2 + x*b - 9*b - 3*b**2. Calculate q(n(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -13*r**2 + 356*r - 1668. Let z be d(6). Let s = 3 - 3.2. Which is the closest to s? (a) 2\/13 (b) 40 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-30 - (-12 - -16 - 20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*c + 382*c + 3294 = 286*c for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*k = j - 285, -j = 3*k - 93. Suppose 4*m + 16 = 0, 3*p = 5*m - 85 - j. Let r = p - -118. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66621043?\nAnswer: 47, 1417469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 24309298\nAnswer: 121546490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*n = -25, -5*d - 4*n = -3*d - 16. Let t(y) be the first derivative of 1\/4*y**4 + 0*y**3 + 0*y + 0*y**2 - d. Find b such that t(b) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0312125 to 3 decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 29 = x - 3*d, 0 = 2*x - 2*d - 4. Let j be (-1)\/3*45\/(-10). Suppose b + 1 = -1. Put x, j, b in ascending order.\nAnswer: b, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1935350 at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 2*k**3 - 11 + 27*k - 3*k**2 - 26*k - 2*k**4 in the form f*k**3 + y*k**2 + l + r*k**4 + x*k and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 16590250 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 3*r**2 + r**3 - 9*r**3 - 3*r**2.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m*o**2 - 44984325*m*o - m + 5*o**2 + 1160657*o - 1 wrt m?\nAnswer: -o**2 - 44984325*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1136, -1057, -974, -887, -796, -701?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3335\/575 + (-12)\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 1\/2, 286 in decreasing order.\nAnswer: 286, 2, 1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 208 - 16549?\nAnswer: -16341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -760 and -0.35.\nAnswer: -760.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.1873432 nanometers?\nAnswer: 0.0000001873432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9583\/2 + 4792. Let g(c) be the second derivative of 0*c**2 + 9*c + 0*c**3 - q*c**4 + 0. Let z(y) = y**2. Determine z(g(x)).\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 186441296 to the power of 1\/2, to the nearest integer?\nAnswer: 13654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27.3 - -0.3. Let i = -27.2 - g. Which is the nearest to -2? (a) i (b) 0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/2 + (-1)\/2. Let t = 6 - 12. Let u be (4\/t)\/(8\/(-24)). Solve s = h - u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*s + 768, 2*d + 558 = -15*s + 20*s. Sort 1, 4, -8, 0, d in increasing order.\nAnswer: d, -8, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 212 and 121258?\nAnswer: 12853348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.119, -323\/20, -0.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + -12532?\nAnswer: -12514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -154 + 190. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/15)\/c*c)\/((c*c**2)\/c))\/(c\/c**(-3)*c**1))\/((c**(2\/7))**(-30)*c**(1\/7)\/(c**(-2\/17)*c*c)) assuming c is positive.\nAnswer: c**(5672\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*i**4 + 132*i**4 + i - 217*i**4 + 1412 in the form y*i**3 + d*i + g + z*i**2 + j*i**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4480 and 77475440.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 233031 + -1.46728.\nAnswer: 233029.53272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -5*h**7\/42 - 7*h**6\/6 + 522*h. Determine w so that s(w) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1573) + -1*sqrt(1573) + sqrt(1573)) - (-1 + sqrt(1573))*1)**2.\nAnswer: 66*sqrt(13) + 14158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1. Let i(a) = 3*a**3 - 2*a - 6. Give 5*f(b) + i(b).\nAnswer: 3*b**3 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 1. Let h(c) = -19*c**3 - 38. Calculate -h(s) + 38*r(s).\nAnswer: -19*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7836115171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 132336932 to the power of 1\/4, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -373915 divided by -5\nAnswer: 74783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -3, 0, 5 in increasing order.\nAnswer: -68, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b - 1030629 = -1028512 for b.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2665372 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 + 214 = -2*t + 7*t. Is t at least as big as -1917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -0.37 (b) 5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89.91 + -90. Sort 0.1, 2\/11, o, 1\/5.\nAnswer: o, 0.1, 2\/11, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -2 + (2 - -1). Let h be (-10 - -12 - 58\/24)\/(21110\/(-6333)). Determine z, given that -1\/4*z**5 + 0 + 3\/8*z**3 - 1\/8*z + 1\/8*z**4 - h*z**f = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/12*-6)\/((-84)\/28)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(252)\/sqrt(4) + sqrt(63)).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164802088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**5\/5 - 147*k**4\/5 - 149*k**3\/5 + 147*k**2\/5 + 148*k\/5 = 0. Calculate k.\nAnswer: -1, 0, 1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -39*o**3 + 2*o**2 + 2*o + 1. Suppose u = -1, 5*g - 6*u = -u. Let d be z(g). Calculate the highest common factor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053551 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) -856703\/2 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (24\/1352)\/(95\/1235)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 8. Let k be y(12). Let j be (-8)\/(-16) + (-90)\/k. Let p = -17 - j. Solve -21 = -f - 4*z - 0*z, 0 = -f + p*z - 24 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 9. What is the smallest value in 3, -10, h?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(540)*-2 - sqrt(540))\/(sqrt(9)\/sqrt(3)*-6 + sqrt(3)).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -417.716246 rounded to 0 dps?\nAnswer: -418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16989 is divided by 100?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 13*s**2 + 13*s**2 + s**2.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 135552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 773 = -30*w + 2213. Suppose -13*z = -21*z + w. Put 2\/13, 2, z in decreasing order.\nAnswer: z, 2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**4 - 3*c**3 + 3*c**3)*(-7 + 52 - 9 - 6) to p + s*c**4 + q*c**2 + l*c + a*c**3 and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -22*h**4 - 23*h**3 + 7*h**2 + 23*h + 15. Let z(p) = -15*p**4 - 15*p**3 + 5*p**2 + 15*p + 10. Let k(q) = 5*w(q) - 7*z(q). Factor k(a).\nAnswer: -5*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17750777383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40587, -81200, -121835, -162504, -203219?\nAnswer: -243992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 3860, -353 in descending order.\nAnswer: 3860, 29, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8226, 8156, 8098, 8058, 8042, 8056?\n\"Answer: h**3 - 77*h + 8302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1275 and 1725.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*r**3 - 10*r - 205*r**3 + 287*r**3 + 0*r.\nAnswer: -r**3 - 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.804mm in meters?\nAnswer: 0.193804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4189 < -4189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -48280783?\nAnswer: -2\/48280783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105123?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582601 is divided by 12639?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 805752 a multiple of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 28.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 46735 = -10*f + 4*y, -5*f + 46*y = -233873. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**3 - 9*h**2\/2 + 4. Factor r(a).\nAnswer: -3*a*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/242 and 85\/352.\nAnswer: 3872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 15)\/(-4) - 69\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 0\/3 - (-21)\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7790 = 555*j - 6085 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51\/4 of a century?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0 + 1\/30*o**6 + 0*o**7 + 1\/3*o**3 - 1\/336*o**8 - 1\/8*o**4 + 0*o - 1\/30*o**5 - 5*o**2. Find v such that s(v) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72*m**4 + 12*m**3 + 2035*m**2 + m - 1447742 wrt m?\nAnswer: -864*m**2 + 72*m + 4070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9096.093 nanograms?\nAnswer: 0.000000000009096093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151136124?\nAnswer: 2, 3, 12594677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 + 18777560*b - 172*b**3 - 18777560*b.\nAnswer: -172*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 1\/782, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8640*v - 1\/4*v**4 + 648*v**2 + 12*v**3 + 36288 = 0.\nAnswer: -12, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 - 0.02. Let g = 1.1 - d. Which is smaller: g or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -33. Suppose 5 + 5 = -5*c. Let n(v) = -3*v - 3. Let o be n(c). What is the greatest common factor of o and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252 and 32?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2241.8587 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -48*o**3 - 6*o**2 - 3*o + 11. Let l(t) = -46*t**3 - 5*t**2 - 2*t + 9. Calculate 5*h(u) - 6*l(u).\nAnswer: 36*u**3 - 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000711777 rounded to seven decimal places?\nAnswer: 0.0000712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -62*f - 939. Determine w(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4 = -4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 12*j - 10*j + 25, -4*j - 20 = -4*n. Solve -n*k + 3*k - 6 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -24.8. Let d = y + 1.8. Let x = 38 + -155\/4. Which is the closest to d? (a) 3 (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8075 or -1146785\/142?\nAnswer: -8075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - j - 14. Let f be s(0). Let t(b) = b + 11. Let y be t(f). What are the prime factors of 37 - (y + 6 - 1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, a: 3, g: 2}. Give prob of picking 1 h and 2 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 660*s - 161. What is the units digit of y(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -75*c + 34*c - 26 + 37*c. Let n be f(-7). Determine k, given that -3\/2 + 5*k - 3\/2*k**n = 0.\nAnswer: 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1365\/(-105)*(4\/6)\/(2\/3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416352 is divided by 54.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = -277 + 241 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7)\/((x**(1\/28)\/x)\/x))\/(x**(-39))**(-6\/35) assuming x is positive.\nAnswer: x**(-621\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -18189496 smaller than -345600396\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1553.7 * -0.3\nAnswer: -466.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-32)\/(-12))\/(-4) + 21\/(-9). Let c be (-3 - x\/(-6))\/((-8)\/112). What is the greatest common divisor of 196 and c?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -157, -158, -159, -160, -161, -162?\n\"Answer: -m - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 9*p = 38. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5\/13 + 3000*j**4\/13 + 12020*j**3\/13 + 18040*j**2\/13 + 12030*j\/13 + 3008\/13.\nAnswer: -2*(j - 1504)*(j + 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26310480199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 92433*f**3 + 2*f - 151934?\nAnswer: 277299*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7 + (-66)\/(-14). Suppose -5*i + 0*i - 5*p = -15, -2*i - j*p + 3 = 0. List the prime factors of (-12)\/(-15)*10\/i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 3)\/(20\/(-10)). Let n be o*2 - 9\/(81\/(-576)). Calculate the highest common factor of 170 and n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*((-18)\/(-8) - 3). Solve -2*k = 4*z - q*z - 4, -5*z = k - 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3808393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**3 - 66*x**2 - 264*x - 197. Calculate u(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20500384 is divided by 5392?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1271*z + 5798 = 1048*z for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/5))**(10\/11)*(l\/l**1)\/l**(-1) assuming l is positive.\nAnswer: l**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 43*p + 432*p - 463*p.\nAnswer: 12*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579493238.\nAnswer: 2, 251, 1154369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 6.7. Which is the closest to 0? (a) 1\/2 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 363, 729, 1097, 1467?\nAnswer: 1839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 43, 44, 47, 52, 59, 68, 79?\n\"Answer: y**2 - 2*y + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n = 28*n - o + 25, 0 = -3*n + 3*o - 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from mmnengnnnnegghh.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120440*c**5 - 8*c**2 + 12*c - 72 wrt c?\nAnswer: -7226400*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 704522899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 4*m**2 - 2*m - 2. Let p = -46 + 48. Let w be f(p). Suppose -w + 11 = -3*o. Let t(x) = x**2 + 4*x + 3. Determine t(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 561145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 417953481 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 42 + 6 - 41 + (-1 - 3 + 3)*(0 + 0 + 2) + 4 - 7 + 2)*(-6 + 3 + 2)*(-11*f**4 - 33 + 33).\nAnswer: -726*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/((-507)\/(-13)))\/((-10)\/(-18)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2376544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7512975 is divided by 268320?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 596423579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.262959 days in weeks?\nAnswer: 0.466137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212305 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 11. What is the tens digit of h(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-16)*12\/(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8426 + 5544 = -22*v. Calculate the remainder when 12835 is divided by v.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20001 + 103?\nAnswer: 20110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 5, -1.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -15516828 to the nearest 10000.\nAnswer: -15520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*b - 604828, -2*f = -5*b - 7*f + 1512020. Suppose -5*c - b = -7088. Is c\/(-40) + (-4)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -36*a + 71. Let i(w) = -109*w + 216. Let h(l) = 6*i(l) - 17*j(l). List the prime factors of h(-16).\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.66041514 to 4 dps.\nAnswer: 2.6604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 50. Calculate the smallest common multiple of 14 and i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3377, 6616, 9867, 13136, 16429, 19752, 23111, 26512?\n\"Answer: c**3 + 3232*c + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -54, 0, 5, -4, -12 in descending order.\nAnswer: 5, 4, 0, -4, -12, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4499.7 - -4500. What is the nearest to -1 in p, -2\/3, -8, -457?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-645*h + 369*h**2 + 60*h**2 + 646*h + h**3 + 7)*(5 + 2*h - 5) as i*h**4 + u*h**2 + n*h**3 + a*h + f and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 2*d + 7 + (0*d + 0*d - 2*d)*(-4 + 3 + 5) - 1 + 1 + d to v + g*d and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (32 - 4830\/147)\/((-3)\/48482)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from {s: 9, x: 7}?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398*v + 804*v - 7*v**2 - 406*v.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14180, -28539, -42898?\n\"Answer: -14359*h + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12543, 12546, 12561, 12594, 12651?\nAnswer: 12738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3) + -5 + -3 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 6*p**2 + 22*p + 61. What is z(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7350)\/360 - 70\/(-42) and 59\/3080?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 30 = 5*i + o, -4*i - 2*o - 24 = 0. Let a = -42 - -39. Let q be -13 + ((-3)\/a)\/((-3)\/i). Is -12 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2713*l - 13*c = 2708*l - 340, 3*l + 59 = 2*c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 74.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 403131 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21777?\nAnswer: 3, 7, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-1\/12)))\/(((u\/u**(3\/5))\/u)\/u))\/(u**(4\/11)\/(u*u*u*u**(3\/8)*u))*u**(2\/21)\/(u**(-1\/12)*u)*(u**(2\/3))**(-19) assuming u is positive.\nAnswer: u**(-24517\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 9*c**2 + 2*c**2 + c**3 + 5 + 7*c**2 + 5*c - 5*c**4 to p*c + s*c**3 + m + h*c**2 + k*c**4 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -152399064.8 - 74.\nAnswer: -152399138.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + x - 6*x)*((1 - 2 - 1)*(3 - 5 + 0) - 254 + 190 - 142).\nAnswer: 404*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-8)\/o*o*o)\/o*o**(-7))**(4\/25)*(o\/((o*o\/(o*o**10)*o)\/o)*o**(-12))**(-3\/41) assuming o is positive.\nAnswer: o**(-2146\/1025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**4 - b + 1. Let d(o) = -6*o**4 - o + 51. Let g(a) = -d(a) - r(a). What is the second derivative of g(t) wrt t?\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 629.5087 to the nearest ten.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 6*t - 4. Suppose -32 = -2*g - 0*g. Let j = g + -20. Let b be -2*j\/(-24)*9. Calculate n(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3829*w - 4422*w - 4253*w + 2364*w as m + t*w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 9*g**2 + 8*g + 5. Suppose 8*q - 31 = -2*v + 3*q, -v = -3*q + 1. Let l be f(v). Solve -3*k = -3*t - 9, -4*t - l + 1 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a - 361. What is s(53)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46420 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -10 (c) 18107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 6*z - 3. Let u = -17 - -47. Suppose -5*p + 2*s + 38 = 0, -3*s - 32 + 2 = -3*p. Suppose -x + p*x = u. What is k(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1031955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 5856?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179b4b (base 13) to base 16.\nAnswer: 90c13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -79210*v**5 + 712885*v**4 - 2376255*v**3 + 3485090*v**2 - 1900820*v - 120 = 0. Calculate v.\nAnswer: -1\/15842, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19586298019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*l**4 - 39*l**3\/2 + 9*l**2\/2 + 24*l - 6 = 0. What is l?\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewewpejjnwnw. What is prob of picking 1 n and 1 p?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 53\/((-2173)\/(-328)) - (-3)\/((-9)\/(-30)). Let z be 2964\/15 - (-4)\/10. What is the highest common divisor of f and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61 + 0*l**2 + 27 - 20*l**2 - 8 - 6 to a*l**2 + w + r*l and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1\/2 (c) -2 (d) 2204 (e) -10.4 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79457 = 52*p - 349337. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6227 or -18679\/3?\nAnswer: -18679\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 208161735 to the nearest integer?\nAnswer: 14428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -206 divided by 204?\nAnswer: -103\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 1 - 39) + (168 - -178) + -349.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 11:03 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(5*r - 4*r + 0*r) + 3*r - 5*r + 3*r + 2687*r - 2530*r + 5537*r.\nAnswer: 5697*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.027228 + 1.\nAnswer: 0.972772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11102311 (base 4) to base 16.\nAnswer: -54b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 172\/774*((-2)\/(-4))\/(49\/42)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gannrnagnxg. What is prob of picking 2 g?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3\/17 + 1110*b**2\/17 - 6606*b\/17 + 9882\/17 = 0. Calculate b.\nAnswer: 3, 549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 21\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3973399.\nAnswer: 269, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 69551*r - 43860000.\nAnswer: (r - 625)*(r + 70176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1046 divide 901363304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31942 + -16?\nAnswer: 31926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -538*k - 77879. What is s(-145)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 52*i**3 + i**2 - i. Let s be m(1). Suppose -5*n = -r + s, 28 = -3*n - r - 0*r. Which is bigger: n or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - 1.1. Let z = -0.1 - p. Which is smaller: z or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 38*y + 203. Let c be x(-5). Solve 5*w + c = 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen halves of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*r**2*w**2 + 2*r**2 + 8*r*w**3 - 2*w**3 + 33*w wrt r.\nAnswer: 6*r*w**2 + 4*r + 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.25 - 0.05. Put f, 0.11, -3 in decreasing order.\nAnswer: 0.11, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 23 + 27 = 37. Let b(y) be the first derivative of 11\/3*y**a + 29 + 8*y + 0*y**2. What is the first derivative of b(n) wrt n?\nAnswer: 22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 50. Let k be (3\/q)\/((-11)\/(-2) + -4). Determine s so that -46*s**3 - s**2 - 5*s**k + 43*s**3 - s - 2*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -259 + 260. Let u = 1 - 0. What is the highest common factor of b and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -537, -512, -497, -492, -497?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15873277 to the power of 1\/2, to the nearest integer?\nAnswer: 3984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -429 - -432. Sort -2, -3, w, -3\/4 in descending order.\nAnswer: w, -3\/4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -204738 at least -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (40\/(-30))\/((-1)\/(-57)). Let h be (-3)\/(82\/w + 1). Suppose -3*b + a = -h, 0 = -2*b + 6*a - a + 8. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8299650 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3. Let v(k) = -327*k - 16. Calculate 6*a(d) - v(d).\nAnswer: 327*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*f - 60 = 0, 56 = 5*m - 3*f + 7*f. Let r = -1 + -3. What is the least common multiple of m and (-27)\/(-6) + 2\/r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2809 - -14043\/5. Which is the nearest to 1\/4? (a) 2\/3 (b) 202 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-16)\/15)\/8 + 0)*6. Sort -4, w, 1, -2\/9 in decreasing order.\nAnswer: 1, -2\/9, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 27558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150507341 to the nearest integer?\nAnswer: 12268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4919811 (base 11) to base 7.\nAnswer: -132533620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -27*x**2 - 3*x - 31. Let v(t) = -4*t**2 - 1. What is -u(f) + 6*v(f)?\nAnswer: 3*f**2 + 3*f + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -17*n + 229. List the prime factors of l(-9).\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -127*o**2 + 1. Let m(f) = -958 - 938 + 0*f + 2*f + 1896. What is b(m(x))?\nAnswer: -508*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -1363*h**6\/120 + 571*h**5\/60 + 8*h**2 - 52*h. Find the third derivative of q(m) wrt m.\nAnswer: -8178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*x**2 + 2)*(-39 - 8*x + 39) + (2*x - x - 3*x)*(3*x - x**2 - 3*x) - 52*x**3 + 28*x**3 - 62*x**3.\nAnswer: -108*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5 + 49*d**4\/4 + 1206*d**3 - 116059*d**2\/4 + 393395*d\/2 - 413400 = 0. What is d?\nAnswer: -159\/4, 5, 16, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 587471832 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*j - 11*j - 11*j to the form s + r*j and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i + 10. Let l = 6 - 2. Let n be 23 - (3\/(-9) + 60\/18). Suppose -5*q = -3*o + n, -q + 16 = -l*q + o. Let c(j) = -2*j - 3. What is q*c(v) - 2*t(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 746 + -444. Suppose 360 = 2*r - 5*n, -215 = -3*r - 4*n + m. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -76*u - 4. Let s(b) = -b + 1. Suppose -5*d - 2*k + 29 = 0, -4*d = -2*d - 5*k. Let l be s(d). Let a be v(l). Round a to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqroro. Give prob of sequence rw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/178158 and -91\/534474.\nAnswer: 534474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19772 - -19808. Let y = 148 + -1626\/11. What is the second biggest value in z, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. Let i = 8\/5 - 2. Which is the nearest to 1? (a) 4 (b) i (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 - 2*a + 19. What is i(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2408 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000 - -101111?\nAnswer: 10000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1462, 2, 1, -16, 4.\nAnswer: -16, 1, 2, 4, 1462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -34*i**3 - 18*i**2 - 22*i + 4. Let p be o(-11). What is the second derivative of -43067*q**3 - 4 - 4*q + 38 + p*q**3 wrt q?\nAnswer: 1530*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238634713?\nAnswer: 179, 2143, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/42)\/(-1))\/(26\/(-117))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3080, 6209, 9404, 12695, 16112, 19685?\n\"Answer: 5*n**3 + 3*n**2 + 3085*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100010001100010 (base 2) in base 8?\nAnswer: -142142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 7. Suppose 0*m - 5*m = 5*o + f, 4*m = 16. Let j be (2\/4)\/((-15)\/o). Which is the closest to j? (a) 3 (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 44*s = -23*s - 17*s + 21, 5*s + 20 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuiubibbu. Give prob of picking 2 b and 2 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2276165 * 0.8.\nAnswer: 1820932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 580 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 1\/18, -6\/5, -4, -1.14, -3\/5?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaakaaaaak. What is prob of sequence aak?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 11110?\nAnswer: 100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s - 3*s - 1173*s**2 + 116*s**2 - 6*s as t + h*s + y*s**2 and give y.\nAnswer: -1057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-272)\/(-17)) + -2*2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 858.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -42647900.\nAnswer: 213239500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 359334.8um?\nAnswer: 0.0003593348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1) - (-21)\/1. Suppose -4*n - 3*m + 5*m - 10 = 0, 0 = -2*n - 4*m + g. Suppose u + 4 - 12 = n. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478571*b + 478603*b = -1696 for b.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/(-84) + 9\/((-54)\/4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g - 6*g - 63*g + 4*g + 9*g.\nAnswer: -71*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 891700.9 micrograms to milligrams.\nAnswer: 891.7009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -403*v**3 - 2*v + 2. Let d be j(1). Let u = -277 - d. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1 = -s - 9, -4*g - 20 = 0. Suppose -1687 = -s*v - 2*o, 4*v - 1351 = -0*v - 3*o. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4 - 2. Suppose -5*f = -n - 7. Let h be -1 - (-5 - -2 - f). Solve -4*x - h = -0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5391722 by 4942.\nAnswer: -1091","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6377164, 6377165, 6377166, 6377167, 6377168, 6377169?\n\"Answer: a + 6377163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 - 105. Solve -y + r = -3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*8\/(-90))\/(20\/(-50))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**2 - 51*r + 28. Let a(b) = 11*b**2 + 103*b - 63. Determine 4*a(y) + 9*v(y).\nAnswer: -y**2 - 47*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-3 + 2*f**3 + 3)*(-505*f + 22*f**2 + 505*f).\nAnswer: -88*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -20*u - 5. Let z(q) = -q - 1. Determine -g(i) + 5*z(i).\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzgz when four letters picked without replacement from {g: 1, c: 3, v: 4, i: 3, z: 3, r: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**5\/10 - 10*p**2. Let m(t) = t**2. Give i(m(b)).\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 - 5 + 2 + 754*v.\nAnswer: 754*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1864 + -43?\nAnswer: -1907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 0*o - 3 - 2*o + 3*o. Let n be f(3). Let z = -1 + 3. Solve p + n*p + 6 = z*a, 0 = 2*a - 2*p - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**3\/3 - 4*g**2 + 15*g - 23. Let s be i(-9). Let w be ((-3)\/(-2))\/(s\/12 - -1). Solve 7 = -3*u + w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1355493 + -2911493. Round c to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607773 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 23. Let q = 353 - 353.1. Which is the nearest to -2\/5? (a) t (b) q (c) 35\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35219951?\nAnswer: 13, 223, 12149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(456)\/(sqrt(64)\/sqrt(8)))\/(sqrt(9)\/(sqrt(363) + sqrt(3))*3) + 2)**2.\nAnswer: -80*sqrt(19) + 7604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1150\/7 + -164. Let v = -25 - -15. Let z = 15 + v. What is the smallest value in y, z, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -350355 divided by 3?\nAnswer: -116785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjt when three letters picked without replacement from {j: 2, t: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31748534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 2*x + 3. Suppose 0 = 8*c - 7*c - 2, -l = -5*c + 13. Give i(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 11029 + 10949 = 0 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -18430.\nAnswer: -18433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 244\/305 + 316\/780 and -19\/612.\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 593267*g*n**2 - 52*n**2 + 566*n + 8 with respect to g.\nAnswer: 593267*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2529 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**4*k))\/k)**(-13)*k**(-5)*(k*k**(-13))\/k*k)**(-3\/2) assuming k is positive.\nAnswer: k**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1\/2 (b) 3\/4 (c) -2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 6. Let g be b(-3). Let c be 39\/(-13) + 0 + 0. Let m be 11 + (9\/c - (g + -5)). Solve 0 = 5*q - 5 + m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -3 - 1)\/1. Let f be -1 + (-3)\/8 - -1. Which is the closest to d? (a) f (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6569124?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d - -2473d?\nAnswer: 2475b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -7a1?\nAnswer: -7a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 + 161. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 151*k**2 - 58*k**2 - 52*k**2 - 61*k**2 + 0.\nAnswer: -20*k**2 - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 236\/151, 0.04855, -2\/3?\nAnswer: 0.04855","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 631453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Let n(y) be the second derivative of 3*y**3\/2 + y**2\/2 - 2*y. What is the remainder when 56 is divided by n(z)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17863593 take away 1000?\nAnswer: -17864593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180490146 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 16. Calculate the common denominator of (-352)\/40*8\/(-32) and 170\/x + 2\/(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a microgram in nanograms?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 + 4*r**2 - 23*r\/3 - 12.\nAnswer: -(r - 9)*(r - 4)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*j**2\/6 - 221*j\/2 + 95\/3.\nAnswer: -(j + 95)*(7*j - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 46*c**2 + c - 43. Give d(46).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 20. Let s(q) = q**3 + 14*q**2 - 16*q - 13. Let i be s(f). Suppose -i*p + 592361 + 1287639 = 0. Round p to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278\/3 + 47*p - 1\/3*p**2 = 0. Calculate p.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 25 + 39 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 9:55 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**5 - 218*h**4\/3 - 4664*h**3\/3 + 1936*h**2 - 2*h + 178. Suppose p(o) = 0. Calculate o.\nAnswer: -22, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -0.5 (c) 12\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -ac2e?\nAnswer: -ac29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(684) + -2 - sqrt(684) - sqrt(684))**2 + ((-6*sqrt(684)*-1 - sqrt(684))**2 - sqrt(684)) + -4.\nAnswer: 90*sqrt(19) + 28042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 l when three letters picked without replacement from rlqqlqqlzrrrllqq?\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -2336506.\nAnswer: 4673012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -60\nAnswer: -11\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/40*12\/18.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*b - 35, 2*y + 3*b - 28 = -2*b. Solve y*r = 2*r + 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -3. Let z = -13\/2 + s. Let f = 0.32 - 3.32. What is the third biggest value in f, -0.4, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-1\/7)*d)*d)\/(d\/(d**(3\/4)\/d)))**(-3\/41)\/((d**(-1)\/d*d)**(-2\/33)\/((d*d\/(d*d**4))\/(d**7*d))) assuming d is positive.\nAnswer: d**(-415951\/37884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3217051us?\nAnswer: 321.7051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-3))\/((-2)\/(-9)). Let d be (3 - s\/2)\/1. Let v(y) = -d - 3 + 3 + y + 0*y. Calculate v(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from usysmynuupy. Give prob of picking 1 u, 1 s, 1 n, and 1 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 4*d**2 - 4*d - 1. Let x be i(5). Let j = 6 - 2. Suppose p = j*r + 21, -3 + 19 = p - 3*r. Put x, -5, p in increasing order.\nAnswer: -5, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 4:52 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-4) + 49\/(-4 - -11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/(-72)*-4*((-6)\/18)\/(12\/408)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 4*z + 8. Let d be m(-6). Let w(h) = -h + 9. Let k be w(7). Suppose -i - k = 3. Sort d, 5, i.\nAnswer: i, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79261333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 491942442 to the power of 1\/3, to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1527.494 - 26.394. Round a to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1605*g**4 - 5512*g**2 wrt g?\nAnswer: 38520*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - -26 - -19 - (12 - -2 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-12\/13)*w*((w*(w*w**20)\/w)\/w)\/w)\/(w*w**(3\/23))**(-3\/4))**1 assuming w is positive.\nAnswer: w**(11915\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.70535 and -0.2?\nAnswer: 0.90535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - -1*sqrt(96))*2)\/(sqrt(242)*3).\nAnswer: 16*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r - 4. Suppose -j - 339 = -5*l - 379, -3*j + 1 = 2*l. What is u(j)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/235871 (b) 1\/2 (c) -1\/4 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 609895739 to the nearest integer?\nAnswer: 24696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 642 and 321?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 8c?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.16 (b) 6 (c) -5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3*o - 4*f**3 - 48*f**2*o + 2*o + 2465 wrt f.\nAnswer: -6*f**2*o - 12*f**2 - 96*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 32 + -22 + -53 + 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -891, 383, 6 in increasing order.\nAnswer: -891, 6, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m - 7517 + 7517.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2. Let b(p) = 28258579*p**2. Determine b(d(s)).\nAnswer: 113034316*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*f + 48 = -0*f, l + 3*f - 13 = 0. Let k = l - 4. Let i(c) = c**2 - 4*c - 1. Calculate i(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-165 - -77) + 50 + (-2*1 - -11)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 809476?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10)*(2 - 1). Let w = -2.5 + 2. What is the closest to c in -5, -3\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 + 195 + -119 + 122\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23392 and 38743.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/567 + 518\/(-441))*35?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3100.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2380 is divided by 149.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccch when four letters picked without replacement from {h: 3, c: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 - n**4 + 4*n**4 + (-4*n**2 + 2*n**3 + 4*n**2)*(-3 + 3 + n) - n**2 + 3*n**4 + n**2.\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**2 - o + 20. Let i(w) = 4*w**2 + w - 20. Let f = 8 + -14. Let q(z) = f*i(z) - 5*b(z). Calculate q(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u - 218. Let a be o(44). Factor v + 1\/3*v**a + 2\/3.\nAnswer: (v + 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-2))\/((-1)\/15*-5). Suppose -r*i + i = 34. Let s(x) = -17*x**3 - x**2. Let q be s(1). Is i less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6872, 5623, 4374, 3125, 1876?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 2\/3, 5, -1, 0.5, -169426?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21361339 - 21361482.00083. Let z = 23.9 + -166.9. Let s = z - l. What is s rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 - 61841\/520) + 71?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89213897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 12:24 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5342740 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 12*g**2 + 25*g + 9. Let o(n) = 3*n**2 + 6*n + 2. What is -9*o(p) + 2*u(p)?\nAnswer: -3*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1510438200*j + 775*j**2 - 775*j**2 + 1510438200*j - 2*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -2) + (11 - (9 + -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 49. Let m be y(0). Suppose u = -17 - m. Let i = 68 + u. Solve k - 4*g = 8, -g - i = -0*k - 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1044 - -1228. Calculate the remainder when c is divided by 178.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from {v: 2, g: 2, e: 1, k: 1, w: 2, o: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2438a6 - -12?\nAnswer: -243894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5 + 102*x**4 + 1566*x**3 + 6858*x**2 + 9072*x = 0 for x.\nAnswer: -24, -21, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 0.8948695515\nAnswer: -0.6948695515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10353000 = -48*f + 27*f. What is f rounded to the nearest ten thousand?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -4 (b) 3 (c) -192 (d) 8 (e) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(31\/(1984\/(-24)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 2*k**2 - 36*k - 10. Let f be t(7). Let i = 87 - f. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -108 - -4?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*r + 4 = -5, 2*r - 2 = 0. Suppose 0 = 4*k - o*x - 68 - 24, 56 = 2*k - 4*x. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2521456257 divided by -1.\nAnswer: -2521456257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 7*a**2 + 13*a + 11. Suppose 2*p + 54 = 5*o + 13, 0 = -4*p - 5*o - 7. Calculate q(p).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**2 - 6*t + 9. Let r(l) = -4*l**2 - 5*l + 8. Calculate -6*q(j) + 7*r(j).\nAnswer: 2*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 130.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 158. Let f(d) be the second derivative of d**4\/3 - 4*d + 476. Determine r(f(j)).\nAnswer: -4*j**2 - 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3282012558 a multiple of 944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 11 = 3. Solve -g - o*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 6:48 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4\/2 + 60*m**3 - 1431*m**2\/2 + 2673*m.\nAnswer: -3*m*(m - 22)*(m - 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 7. Let v = 30 + 0. Suppose 3*y + v = 8*y. Calculate the remainder when 86 is divided by t(y).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 582 (c) -4 (d) -0.11 (e) 0 (f) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c**2 - 39*c**2 - 41*c**2 - c**2 - 17*c**2.\nAnswer: -112*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 175 + 147. Let p(s) = -2*s - 25. Let q(o) = o + 13. Let j(y) = 6*p(y) + 11*q(y). Let g(v) = 1. Let b(m) = 6*g(m) - j(m). Determine b(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.1191075kg?\nAnswer: 119107500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 12*z**2 - 6*z - 24. Let c(m) = -4*m**3 - 2*m**2 + 1. Let t be c(-1). Suppose 2*j + 2 = 0, 2*a + t*j = j + 20. What is the tens digit of x(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2. Suppose 7*u = -1 + 22. Let m(d) be the second derivative of 0 - u*d - 1\/3*d**3 + 0*d**2. Determine m(w(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g**2. Let w be 84\/(-24) + 1*(1 + 4). Let c(h) be the first derivative of 0*h - w*h**2 - 7. Give c(d(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3 + 2*k**2 + 3*k = 0. Calculate k.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, v: 1, u: 2}. What is prob of picking 1 r and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55247*s**3 - 7*s**2 - 671*s - 2?\nAnswer: 331482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-345)\/207)\/((-20)\/(-6))*2\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -885, -988, -1269, -1818, -2725?\nAnswer: -4080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1229472 and 17280?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*f**3 - 1)*(-1 + 15 + 28 + (-4 + 2 + 4)*(3 + 2 - 3)).\nAnswer: -92*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*j + 254030 - 259430 for j.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -1, 2\/11, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 10*u + 3. Let y(g) = 5*g + 2. Determine 3*p(d) - 5*y(d).\nAnswer: 5*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4450 + 142*t - 4450 + (2 + 2 - 6)*(2*t - 4*t + 3*t) - 4*t + 3*t + 5*t.\nAnswer: 144*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.72892 rounded to one decimal place?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 11. Suppose y*m - 5*g + 41 = -16, 0 = -g. Let a = 5 - m. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.257 - -1.657. Suppose 0 = -2*m + 7*m - 30. What is the nearest to -2\/5 in d, m, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.4, 1, 0.1, 2\/11, -5 in increasing order.\nAnswer: -5, 0.1, 2\/11, 1, 4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.1006 rounded to two dps?\nAnswer: -12.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 20*p**2 + 21*p + 41. Let g be b(-19). Solve g*n - 7*n = 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j + 0*j)*(-32*j + 195*j - 87*j) - 1 + 2*j**2 + 1.\nAnswer: -74*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*sqrt(7) + (2*sqrt(700))**2 - (-6*(sqrt(105)\/(sqrt(3)*6))\/sqrt(5))**2.\nAnswer: 4*sqrt(7) + 2796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 2:57 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 19*x**2 - 47*x + 18*x + 16*x + 1 + 17*x. Does 32 divide v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Suppose -i + r = -4. Put 5, 0, i in descending order.\nAnswer: 5, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = -0, -5*v = -2*c + 138. Calculate the remainder when c is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpvcvuwfw. Give prob of sequence pv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 9*i**2 + 7*i - 4. Does 4 divide l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 457 + -278. List the prime factors of g.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-1 + 2*1). Suppose -115*r + 17908 = 1578. Suppose y*d = -2*d + r. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10) - 24168\/(-30). Let u = 65\/1041 - -1682473\/2082. Let t = u - y. Find the common denominator of -131\/6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3493 - -3443. Let i = 46.939 + 0.061. Let g = i + w. Is -3 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22666)\/(-3190) + 142\/(-3905) + -7\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*-93767.\nAnswer: -8439.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.14 - 0.81. Let i = -0.73 + b. Let r = -15.1 - -14.9. What is the closest to r in i, 0.5, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -0.049 (b) -3 (c) 4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/(-2)*((-55)\/(-10) + (-134 - -129)) - 6?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 238037*b + 141224 with respect to b.\nAnswer: 238037","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4 = 5*j - 8, -3*j = -n - 4. Let z(d) = -13*d**3 + 1. Calculate the smallest common multiple of 12 - 1\/(2\/n) and z(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + -95. Let a = f + 27. Let k(n) = 2*n + 4. What is k(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 159 + -164. Sort 3\/4, s, 4 in increasing order.\nAnswer: s, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76583099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.004 - -0.003. Let w = i + 3.993. Which is the closest to 0.1? (a) 5 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-281\nAnswer: -112.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = -4*g - 5*s, 5*s - s = -5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, r: 12}. Give prob of picking 2 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x - 69 = 0. Let g = -70 - -111. Let i = g + x. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkqq. What is prob of sequence qkkk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-283*w - 9*w - 21*w)*(w**2 - w**2 - w**4).\nAnswer: 313*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1727 + 10289 = -126*s - 2041*s - 202517 for s.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/sqrt(12))\/sqrt(2))\/(2*sqrt(20)\/sqrt(2) + (sqrt(100)*-1)\/sqrt(10)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2970 - 74228\/25. Calculate the common denominator of 71\/240 and b.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.31 + -1.41. Let x = -512.0969 - -511.1969011. Let g = x + i. Round g to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 438*c**4 + 12*c**2 - 1127*c. Let v(l) = l**4 + 3*l**2 - l. Let h(n) = -b(n) + 4*v(n). What is the second derivative of h(z) wrt z?\nAnswer: -5208*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 343035?\nAnswer: -343031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 7:37 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 301 (base 9) to base 14\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4874, 9955, 15038, 20123, 25210?\n\"Answer: i**2 + 5078*i - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -35*a + 2. Let g(p) = 1. Let b(r) = 3*g(r) - s(r). Let c be b(1). Calculate the greatest common divisor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 58. Give s(13).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*r + 37*r - 124*r + 42*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 45171 = -25*z. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(-2) + 3\/(-6). Suppose u*s - 8*s - w = -134, 0 = s - 3*w - 28. What are the prime factors of s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00536788273 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 570 and 570?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l*t**2 - 7702*l*t - 106950*l + 1 wrt t.\nAnswer: 8*l*t - 7702*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**6\/6 - 58*f**5\/5 - 111*f**4\/2 - 328*f**3\/3 - 217*f**2\/2 - 54*f - 195. Determine n so that y(n) = 0.\nAnswer: -54, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75237 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: Does 33 divide 4782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/19, -3\/4, -75\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**4\/8 + q**3\/3 + q**2. Suppose 397*t + 423*t = 847*t - 81. What is k(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:18 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-2))\/(4\/104). Suppose -3*r - 4*g = -46, -2*r = -0*r + g - y. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31842*h + 3960*h + 240*h.\nAnswer: -27642*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.894576518 - 44.994595418. Let i = -412.9 - -457. Let h = i + a. Round h to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-1)\/x*x))**10\/(x**3\/x**(-5)) assuming x is positive.\nAnswer: x**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (6 + -2 + -4 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2626, 21072, 71140, 168640, 329382?\n\"Answer: 2635*m**3 + m**2 - 2*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/15 - (-6)\/(-15). Suppose -6*m = -d*m - 72. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + sqrt(17)*4)**2*-5 - (6*(sqrt(102) - 2*sqrt(102)))\/(-4*sqrt(18)\/sqrt(3)).\nAnswer: -1380 - 163*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 10*i + 19. Give z(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/9 + 2\/3. Let l = 300 - 262.9. Let d = l + -37. Which is the third smallest value? (a) d (b) -0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*sqrt(21)\/sqrt(3) - (sqrt(252) - (sqrt(252)*-2 + sqrt(252)))**2*-3.\nAnswer: sqrt(7) + 3021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 7. Let g be 1*-2*(-1)\/b. Suppose 0 = -318*w - 7456 + 8092. Sort g, w, -3 in decreasing order.\nAnswer: w, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = j + 14, 5*t + j - 24 = 3*j. Let i = 2 - -2. Suppose -c = l + 3*l + i, 5*l - t = c. Solve l*q - 5*q + 10 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*l**2 - 9*l**2 + 6*l**2 + (6*l - 4*l + 0*l)*(-4*l + 7*l + 9*l).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -150 + 151. Which is the third smallest value? (a) 4 (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-3 - (1 + (-11 - -2))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**2\/2 + 16662*l - 300159\/2 = 0.\nAnswer: -11117, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -55, -195, -477, -949, -1659?\nAnswer: -2655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29169 * -0.3.\nAnswer: 8750.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 5*a - 29 - 6 = 0, 4*a = -5*b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (42\/4)\/(-1)*-10. Let r be (-149)\/2 - 1\/2. Let z = r + y. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/((-1)\/(-6)). Let s(u) = 6. Let n(a) = -a**2 - 24 + 22 + 9. Let x(p) = z*n(p) - 3*s(p). Let l(o) = 4*o**2 + 9. Determine -3*l(g) - 7*x(g).\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/48 and -67\/126.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**3 + 3*r**2 + 2*r - 4. Calculate x(-3).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 859*o**3 - 113*o wrt o.\nAnswer: 5154*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 915607, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*n + 36, n - 5*r = 5*n - 37. Suppose -4*h = 1 - n. Solve h*j = 4*d + 4*j - 5, -5*d + j - 5 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -41472, -5 in descending order.\nAnswer: 5, -1, -5, -41472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c + 14*c = -c + 134295. Calculate the remainder when c is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, i: 2, l: 2, a: 6, n: 1, h: 4}. What is prob of picking 1 l and 2 j?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 3 - 12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*q + 18 = 0, -2*q = 22*x - 17*x - 27. Calculate the smallest common multiple of x and 3512.\nAnswer: 17560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 6, -5*r = -0*r - k - 2. Let h be (-300)\/13*(-636)\/1060 - 13. Which is smaller: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**3 + 388*l**2 + 53*l + 5152. Calculate y(-97).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 6. Let t be k(12). Let q be 3\/((-9)\/30*15\/t). Let j(i) = 4*i**3 + i**2. Let m be j(1). Solve 3*c + 0*c = -m*g + 37, 41 = 5*g + q*c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3)*(-21)\/2. Suppose -10 = 2*b, 5 = -4*h + b - 2*b. Solve h = -u*j + 2*j - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2 = -2*n - 200, -4*n - 2*g = 398. Let d = n + 110. Calculate the smallest common multiple of d and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2216835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g + 104 - 129 = 1025 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2057) - ((sqrt(2057) - -1*sqrt(2057)) + 1)**2) + -1 + ((1 + sqrt(2057) - sqrt(2057))*-4)**2 + -2*sqrt(2057) + 2 + -4.\nAnswer: -8212 - 55*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24843 or -24932?\nAnswer: -24932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 >= -78579\/1654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (-340)\/(-90) - -8. What is the nearest to -5\/3 in 0.1, v, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(76) - sqrt(76)*2*-6)\/(((sqrt(132) + (sqrt(132) - sqrt(132)*-2) + sqrt(132))\/sqrt(3))\/sqrt(11)).\nAnswer: 16*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 <= 801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 = -3*a. Suppose d = -1 - a. Is -10\/3 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 891796259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-13)\/6*-2)\/((-13)\/(-39)). Let q be (1 - (-45)\/(-6))*-22. Calculate the greatest common factor of l and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {t: 2, u: 1, r: 4, k: 5, j: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(-2*m**4 - m + m) - 10*m**3 - 4*m**4 + 10*m**3 + (-5 + 5 - m)*(-2*m**3 + 1 - 1).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -262*u + 776*u - 257*u - 1957 - 256*u to g*u + s and give s.\nAnswer: -1957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 2\/11 (c) -1\/4 (d) -537\/1078 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1023845 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5\/2 - 30*b**4 - 765*b**3\/2 + 3705*b**2 + 4056*b = 0. Calculate b.\nAnswer: -13, -1, 0, 8, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/10)\/(((m\/(m\/(m\/m**7)))\/m)\/m) assuming m is positive.\nAnswer: m**(77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/18 - 59\/(-6). Let l = -4 + w. Solve h = -l + 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 11*f**2 + 6239*f + 339638. Give d(-61).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 127 = -k + 1292, w = -2*k + 360. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 8*r - 3. Let t(a) = 5*a**2 + 23*a - 8. Suppose 96 = -3*l + 120. Give l*j(d) - 3*t(d).\nAnswer: d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 1. Let h be w(3). Let o(v) = v**3 + 6*v**2 + v - 5. Is 7 a factor of o(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60178 plus -8?\nAnswer: -60186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -676 + 14873\/22. Calculate the common denominator of z and -43\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1097419 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39.4 - -39. What is the smallest value in 0.4, -0.3, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220223 + 0?\nAnswer: 220223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*l + 94, -3*n - 3*l = 65 + 19. Let c be (-1)\/((-3)\/48)*n\/(-24). What is the highest common divisor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1736, 1751, 1766, 1781?\nAnswer: 1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18233 take away 78.6779259?\nAnswer: 18154.3220741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0406 in 0.07, -2\/5, -2, -38?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*p - 127 + 31 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 455 and 325.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402670 is divided by 3146?\nAnswer: 3128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7312*p**2 - 7220*p**2 + 1492*p**2 to the form x*p**2 + y + r*p and give x.\nAnswer: -13040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 226843983 to the power of 1\/2, to the nearest integer?\nAnswer: 15061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h. Let d(m) = 2*m**2 + 4*m + 5. Let s(i) = 2*i**2 + 3*i + 4. Let y(q) = -3*d(q) + 4*s(q). Calculate n(y(b)).\nAnswer: 4*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*451.90373.\nAnswer: -2259.51865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 110010111 (base 2) to base 5\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11034, -11038, -11044, -11052?\nAnswer: -11062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2. Let d(r) = -r. Let k(y) = 30*y + 35. Let b(z) = -5*z - 6. Let p(w) = 35*b(w) + 6*k(w). Let s(i) = -6*d(i) - 2*p(i). Determine s(t(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(-h**2 + 2*h**2 - 3*h**2) - 10*h + 10*h + 4*h**2)*(-h + 2*h + h) + (-2*h + 1 - 1)*(h - h - h**2).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 9. Suppose -3*u + 3*t = -t, -4*t = 0. Let w = l - u. Solve -4*o = -w*r - 4 - 4, -2*o = r - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -620, -5\/2, 0.2, 2, 0.007, -1, 5\/3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 12 = 0, 3*r + 64 = 2*r + 4*y. Let w = r + 65. What is the remainder when 45 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 5)*(-4)\/30. Put o, 5, 2\/17 in descending order.\nAnswer: 5, o, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -i + 919, 4*i - 27*p = -22*p + 3658. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -19*b - 2. Let h(u) = -2815*u**2 + u. Calculate y(h(k)).\nAnswer: 53485*k**2 - 19*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2354*p + 9452. Calculate c(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4) + (-18)\/(-36)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12410\/14 + 20\/35 + -3. Let c = -572 + u. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 376 = -5*v, -v = 4*t - 50 - 39. Let i = 2\/23 - -295\/46. What is the common denominator of i and 1 - v\/(-8) - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(4)*4 + 0.\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = r - 24. Let a be (-550)\/(-8) - (-3)\/r. Let c = a + -27. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 5*n - 17. Let t = n + 9. Suppose 4*j - 32 - 48 = t*w, -4*j = -w - 68. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12409, 12403, 12393, 12379, 12361, 12339, 12313?\nAnswer: 12283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35192573 - 780.\nAnswer: -35193353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**7\/840 - z**6\/120 + z**5\/30 - z**4\/8 + z**3\/6 + 6*z. Let p(s) be the second derivative of w(s). What is p(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 6*f - 3. Let b be q(-5). Find the second derivative of j + j - j - 4*j**b + j wrt j.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -62, -119, -190, -281, -398, -547, -734?\n\"Answer: -d**3 - d**2 - 47*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1440 by -18.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-2 - (-8 + 5)) - 39.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.8 - -20. Let g = -2.92 - 0.08. Which is the closest to -2? (a) g (b) -0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 450045.8 millimeters in meters?\nAnswer: 450.0458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4022618, -8045213, -12067808, -16090403, -20112998, -24135593?\n\"Answer: -4022595*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3659*2\/14 - 46\/(-161).\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -945, -2190, -4265, -7170?\nAnswer: -10905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1113*r - 47716 = 716*r + 23615 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 2*k**2 - 3*k + 3. Let b = 237 + -234. Give y(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 - 2*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -462.94 - -468. Let k = 0.06 - r. Let b = 4.94 - -0.06. Put b, -1\/9, k in increasing order.\nAnswer: k, -1\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/31)*l*l*l\/l**(-2\/3))**(3\/10) assuming l is positive.\nAnswer: l**(44\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -9 + 3. Let b = -6 - -4. Is b greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2. Let u(o) = -3*o. Give z(u(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 23*b - 3. Let m be o(12). Let g(j) = -5*j + 7. Let n(i) = -i + 2. Give m*n(u) - 2*g(u).\nAnswer: u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-12 - -11)*(21 + -21))\/(-1))\/((-1)\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116666081621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*r + 26 = 0, 3*r + 13 = -3*s - 14. Let o = s + 19. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a. Let z(g) = g - 1. Suppose 4*v - 12 = -2*x, 4*x = -2*v + 9*x - 18. Let j(b) = v*t(b) - 2*z(b). What is j(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n. Let m(f) = 5*f**2 + 6*f + 5. Let i(u) = u**2 + u + 1. Let j(s) = 6*i(s) - m(s). Let v(w) = 6*w**2 + 5. Let x(c) = 5*j(c) - v(c). Give x(z(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -751, 1, 4, 0, -136 in descending order.\nAnswer: 4, 1, 0, -136, -751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 at least as big as 712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1989 is divided by 807?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**5 - 28*g**4 - 34*g**3 - 2*g**2 - 2*g + 4. Let b(y) = -y**3 - y**2 - y + 2. Let u(m) = -2*b(m) + w(m). Factor u(d).\nAnswer: 4*d**3*(d - 8)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**3 + 2*a**2 + 2*a + 1. Let h be q(-1). Let d be (h + -4 + 1)*3. Let u = -5 + 8. Solve t = -d*b - 11, 6*t - 4*b + 7 = u*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (152 - 165) + -32 + 3?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*k + 4*k - k)*(1 - 1 + 2*k) + k**2 - 3*k**2 + k**2)*(5 - 4 - 2 + (5 - 1 - 1)*(-1 - 5 + 3) + 2 - 2 - 2).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 4*o + 35, -41*r = -46*r + 3*o + 39 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t + 2*x - 24 = 0, 4*t + 3*x = 28. Suppose t - 8 = -4*q. Is 1\/5 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.07, -4\/3, -25?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*z + 2. Let r = 69.3 + -70.206. Let p = r - -0.106. Which is the nearest to z? (a) p (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 + 49. What is the third derivative of -23*u**6 + x*u**2 + 24*u**2 + 4*u**6 - 3*u**6 wrt u?\nAnswer: -2640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 803862916?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4db6 (base 16) to base 5\nAnswer: 1114034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) -0.3 (c) 3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/l*l**1)\/(l*l**(2\/7)\/l)**(3\/19) assuming l is positive.\nAnswer: l**(-804\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -29, -2\/9, 4.4, 1, 0.06, 4, -1\/377?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -26 + -15 + -11 - (12 + -5 + 0).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 z, 1 v, and 1 m when four letters picked without replacement from avsvvzxxmxvvzvvv?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-2 - (2 + -1))) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**6\/120 - l**5\/15 + l**4\/8 + l**3\/3 - 31*l**2. Let t be g(3). Solve t*d + 4 = 3*q, -4*d - 6 = -4*q + 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 7*g + 23. Let u be n(-10). Which is bigger: -37\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**5 + 1539*m**4 + 1543*m**3 - 4615*m**2 - 7698*m - 3080 = 0.\nAnswer: -1, 2, 1540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - n + 2, 0 = 2*c - n - 7. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/3 + (-1)\/(-1). Suppose -3*t = -o*n - 38, -4*n - 65 = -5*t + n. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -182 (b) 16 (c) -4 (d) -1\/5 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94837617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 578534383 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 {n: 17, p: 2}. Give prob of sequence pnn.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15736 - 3263 + 2760 - 5 + 0 + 3 + (6 - 4 + 0)*(-4 + 0 + 3) - 2 + 0 + 1 + 1 - 1 - 1)*(-4 - s**2 + 4) to n*s**2 + l*s + k and give n.\nAnswer: 16245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46576431 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 2*l**2 + 2*l - 1. Let i be q(-3). Suppose 12 = 2*z + i*g, -3*g + g = -4*z. Let v(o) = -o - 1. Let w be v(-3). Is z less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 88328*b**2 - 176668*b - 88336.\nAnswer: 4*(b - 22084)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-26 - -48 - 36).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 2*k**2 - 4*k**2 + (2 + 2 - 1)*(-2*k + k + 9*k)*(-k - 4 + 4) - k**2 - 25*k**2 - 14*k**2.\nAnswer: -65*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 22*i**2 - 10*i**2 - 26 - 14*i - i**3 + 6*i. Let l be j(11). Let x = 17 + -10. Calculate the greatest common divisor of l and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 6. Let s(g) = -3. Let c(a) = 6*a - 2. Let m be c(1). Let y(u) = m*l(u) + 7*s(u). Differentiate y(n) wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -657, -745, -979, -1431, -2173, -3277, -4815, -6859?\n\"Answer: -12*n**3 - n**2 - n - 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 1)*(n + 0*n - 6*n) - 4*n + n + n.\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1472711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 115 - 134?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((799\/799)\/(1\/1))\/((-3)\/(216*1)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40828694*o**2 - 27980745 wrt o.\nAnswer: -81657388*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**3 - z**2 - 2*z - 22. Let v(j) = -13*j**3 - 4*j**2 - 7*j - 66. What is -7*b(q) + 2*v(q)?\nAnswer: 2*q**3 - q**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-12)*x)**(2\/53)*x\/x**(-2\/47)*x*x**(-1\/10) assuming x is positive.\nAnswer: x**(61549\/24910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 y when three letters picked without replacement from fwffywxyywyxyyf.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 34105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 11498089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 42. Suppose 0 = -w*d + 4*d - 10. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11*u + 268. Determine y(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55098931.9 rounded to the nearest 1000000?\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from gksudnsdsndugnsddd.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 14342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13478, 26946, 40414, 53882, 67350?\nAnswer: 80818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/4, 2, -49, 0.035?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbtbjbbbr. What is prob of picking 1 b, 1 t, and 1 j?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**5\/20 + x**4\/12 + x**3\/6 - 9*x**2 - 77*x. Determine j(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(1 - 4 + 2)*(-10*p - 100*p - 20*p)*(2 - 1 + 0)*(3 + 0 - 4).\nAnswer: 260*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91728 - -0.3.\nAnswer: -91727.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2652 - 673 - 195568*m**3 + 0*m + m + 199419*m**3 wrt m?\nAnswer: 23106*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1094*p - 2*d = -1180*p + 1022, -2*p - 1 = -5*d for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 484283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**3 + 677*z**2 - 51*z**4 - 224*z**2 - 223*z**2 + 135*z - 228*z**2 wrt z.\nAnswer: -1224*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*15\/2*(-6)\/15\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 17. Let t(s) = 0*s**2 + k*s**3 + 1 + 2*s + 50*s**3 + s**2 - 4*s. What is the remainder when t(1) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 19*a**2. Let n(x) = -6 - 4*x - 3*x - x + 0. Let q(z) = 23*z + 17. Let u(f) = -17*n(f) - 6*q(f). What is i(u(k))?\nAnswer: 76*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -88*-6*21\/(-252)*-1.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h + 4. Let i(k) be the third derivative of 0 + 1\/4*k**4 - 2\/3*k**3 + 10*k - k**2. Determine 4*i(x) + 5*u(x).\nAnswer: -x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -171.5 - -171.4219. Round s to 3 dps.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312 divided by -6\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -25*y + 18*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from romjjfoy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42645 and 190?\nAnswer: -8102550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1838.\nAnswer: 3\/1838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 346 (base 7) to base 3\nAnswer: 20201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**37*q**15*q*((q**(-7\/5)*q)\/q)**(-2\/31))**(-10) assuming q is positive.\nAnswer: q**(-16458\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 3*d**2 + d + 3. Calculate i(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 3. Let d be p(0). Solve 2*i = i - d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2549538 and 4170?\nAnswer: 12747690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 515, 1989, 4423, 7799, 12099, 17305?\nAnswer: 23399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/(-20)*5 + 4. Let o(m) = 4*m + 7*m - z*m - 3*m. Let q(p) = -22*p**2. Give q(o(y)).\nAnswer: -198*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -19. Let k be (-22)\/u*-3 + 0. What is the highest common divisor of k and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31608, 32180, 33046, 34206?\nAnswer: 35660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*t + 25*t - 10. Calculate the highest common divisor of 66 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 44*c - 622 = 0, -7*o + c + c + 20 = -11*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 32*w**3 - 4*w**2 + 8*w - 3. Let h be a(1). Calculate the highest common divisor of h and 2486.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*b**5 - b**3 + 360*b**2 + 2?\nAnswer: -720*b**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*l = -5*n + 163, -17*n + 6 + 6 - 4 = -21*n - 5*l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(432\/16)*85\/10.\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -1\/602422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/(112\/735 + (-2)\/7). Let k = -226 - r. Calculate the remainder when 94 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -14*w + 1440. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33, 67, 103, 141, 181, 223?\n\"Answer: r**2 + 31*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203, -318, -525, -836, -1263, -1818, -2513?\nAnswer: -3360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 368*x**3 + 2*x**2 - x + 1. Let u be l(2). Suppose -3*y = 4*c - 1629, -y + u = 5*c + 912. Suppose c = 4*t + 12. Round t to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 4*f**2 - 4*f**2)*(7*f + f + 16*f)*(0*f**2 + 0*f**2 + f**2 + (-f**2 - f**2 + 0*f**2)*(1 - 2 + 3) - 3*f**2 + 0*f**2 + 2*f**2).\nAnswer: 192*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 9644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*x**4 + 372095*x**3 - 4928849?\nAnswer: -8*x**3 + 1116285*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 + t - t + (-7*t + 2*t - 5*t)*(2*t + t**2 - 2*t).\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/56)\/((-123)\/1722))\/4\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -14, -20, -28, -38, -50?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36124733 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, h: 6, f: 4, p: 5}. What is prob of sequence hpn?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 1.7?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14415 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 4 + (4 - 4\/2). Let j be 147\/63 + -1 + 5\/t. Suppose j*p = m - 100, -370 = 2*m - 5*m - 5*p. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1822, 2069, 2486, 3079, 3854, 4817, 5974?\n\"Answer: t**3 + 79*t**2 + 3*t + 1739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + (4 - -57) + 52.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -642*i + 378 = -600*i. Let p = 8 - -35. Solve -16 = i*o - p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/20 and (-3742)\/8280 + 36\/(-414)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u = -5*c - 88, 0 = -3*c - 3*u - 54. Let b be c\/(-24) - 2\/3. Suppose -4*x + 0*x + 68 = b. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**5 + 1961*o**4 + 570*o**3 - 74*o**2 - 4340*o wrt o?\nAnswer: -180*o**2 + 47064*o + 3420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 0 - -7) + 1. Suppose -3*p + 7*p = -5*o + 10, 4*o - 8 = -3*p. Suppose -7*a + 37 = o. Which is smaller: a or u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9503082 < -28509245\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3123333 (base 4) to base 6\nAnswer: -145103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-34)\/6 + (-12)\/36\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 991 (base 15) to base 9.\nAnswer: 2861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 659450280 + -5424637975511\/8226. Let q = w - -6\/457. Calculate the common denominator of q and 1 - 31\/6 - 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*z + 4906*z**3 - 83*z.\nAnswer: 4906*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26887 and 26491377?\nAnswer: 185439639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 296 = -4*d, 2*k - 2*d = 6*k - 290. Let b = -118 - k. Let p = b - -311. Is p a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 - 3*o**3 - 71*o**2 + 34*o**2 + 32*o**2 + o**3 to the form f + q*o**3 + m*o + l*o**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34009.\nAnswer: 71, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -87055, -174180, -261309, -348442, -435579, -522720, -609865?\n\"Answer: -2*r**2 - 87119*r + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5397289 rounded to 3 dps?\nAnswer: 3.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -96b8 (base 13) in base 3?\nAnswer: -1001201111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -22. Suppose -11*c + 2 = -13*c. Let u be (3\/42*7)\/(c\/l). Calculate the highest common divisor of 60 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -7\/3, -2, -2\/15, -3 in ascending order.\nAnswer: -3, -7\/3, -2, -2\/15, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 271060, 2, 5 in descending order.\nAnswer: 271060, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3551 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x + 13*x - 2*x**2 - 6*x**2 - 47841 + 5*x**2.\nAnswer: -3*x**2 - 47841","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, t: 1, w: 1, u: 1}. What is prob of picking 1 t and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*6474\nAnswer: 9063.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 60?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*x - 8*x + 13 - 14)*(2 - 3 + 3)*(13*x + 8 - 8).\nAnswer: 78*x**2 - 26*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 413, 454, 495?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593681 to the power of 1\/2, to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -1 - 1\/4*k**4 - 4\/3*k**3 - 2*k - 5\/2*k**2. Does 9 divide c(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-8)*g*g*g*g**(-11)*g**(-13)\/g**(-8) assuming g is positive.\nAnswer: g**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 (base 10) in base 16?\nAnswer: -d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by -18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 3, -1073, -57.\nAnswer: -1073, -57, -19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.725894 to 1 decimal place.\nAnswer: 66.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203.15*-54.\nAnswer: 10970.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 281*d**2*m**3 - d**2*m**2 - 8550*d**2*m - 66*d*m**5 + 7*m wrt m?\nAnswer: 1686*d**2 - 3960*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15368233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(19) - sqrt(475)*-4)*-2)**2.\nAnswer: 168*sqrt(19) + 33520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9008 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.332249ml?\nAnswer: 0.001332249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 847, 1746, 2643, 3544, 4455, 5382?\n\"Answer: h**3 - 7*h**2 + 913*h - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 8 + 2 = 0. Let z = -1 - i. Let u = -0.0559 + -0.3441. What is the third biggest value in 0, u, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 537, 2, 0.329 in decreasing order.\nAnswer: 537, 2, 0.329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5 + 3*v**2 + 0*v**2 + 2*v + 21*v**3 - 23*v**3. Is q(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**4\/24 + k**2. Suppose 0*j = 2*j - 26. Calculate the remainder when j is divided by w(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396 divided by 99.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7)\/((-84)\/(-8)))\/((-6)\/176949) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.248*-8\nAnswer: -1.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5492 - 17334582.\nAnswer: -17340074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + (-10)\/6)*12. Suppose 4*v + z*h = -v + 96, 0 = -5*v + 3*h + 68. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(24)\/(-6*(sqrt(32)\/sqrt(4) + sqrt(8))) + 3 - ((-2*sqrt(75)*-4 + sqrt(75) + (-4*sqrt(75)*2 - sqrt(75)))*6)**2.\nAnswer: -1 - sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7801.85 centimeters to micrometers.\nAnswer: 78018500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2587369, 5174737, 7762105, 10349473, 12936841, 15524209?\n\"Answer: 2587368*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 930285*y - 1860297*y + 930009*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -9*g + 2*g - 21*g + 8*g + 4 + 30. Let b(m) = -m**2. What is b(h(j))?\nAnswer: -400*j**2 + 1360*j - 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 r, 1 f, and 1 q when four letters picked without replacement from {l: 1, q: 2, t: 1, z: 1, r: 1, f: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 231107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*r**3*t + 863559*r**3 - 14*r**2*t - 19967*r*t + 20 wrt r.\nAnswer: -198*t + 5181354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 7:42 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11287336 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -15*n**4 + 6*n**3 - n**2 - 11. Let h(b) = -45*b**4 + 17*b**3 - 3*b**2 - 32. Let f(q) = -4*h(q) + 11*u(q). What is the third derivative of f(w) wrt w?\nAnswer: 360*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-3)\/(-2)*(-7)\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(8\/(-6))*19 and 2*9\/30 + 12 + 29493\/(-1980).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11190 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i**3 - 6*i**2 + 18. Let j(p) = -10*p**3 + 5*p**2 - 17. Give 6*j(s) + 5*o(s).\nAnswer: -5*s**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*v + 136 = 0. Let u be (-140)\/(-34) + 8\/v. Suppose -2*o - 5*s = 59, -u*s - s = -5*o - 130. Which is smaller: o or -26?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f + f - 2*f)*(3*f**3 - 4*f**3 - f**3) + (-354*f**4 + 614*f**4 - 505*f**4)*(2 - 5 + 2) as v*f + m*f**2 + g*f**3 + n*f**4 + j and give n.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276 and 851.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2554861\/24 + 106451. Let w = 97\/12264 + 10\/219. Find the common denominator of w and y.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*q**2 - 375*q**2 - 265*q**2 + 673*q**2 - 2*q - 152*q**2 + 3*q.\nAnswer: -422*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/9*(-27)\/63.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from rggrrngrgggrrrggogr.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.5925432 - 0.592534. Let a = -14.24 - -0.24. Let z = a + h. What is z rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**10\/680400 + c**8\/45360 - c**6\/3240 - c**5\/60 - c**2. Let d(w) be the third derivative of t(w). Factor d(b).\nAnswer: -2*(b - 1)**2*(b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 + 24.973.\nAnswer: 24.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6312*q**3 - 3150*q**3 - 3156*q**3 - 3*q**2 + 3*q**2.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -215, -433, -653, -875, -1099?\n\"Answer: -t**2 - 215*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -3c?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 23. Suppose -4*b + 2 + d = 0. Suppose -b*s = -23 - 1. Solve 3*t - s = t, 2*z = t + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 674 + -669. Suppose -6*z + 10*z - 1765 = 3*k, -p*z - 4*k + 2245 = 0. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {d: 2, w: 1, r: 1, t: 1, b: 1, k: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h - 2. Let m be (-6)\/(-8)*(-4 - 0). Let c be i(m). Suppose -c*r = -9*r. Solve r*l - 12 = -3*l - 5*x, -2*x = -6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q**3 + 91397*q**2 - 225056*q = 0. What is q?\nAnswer: -7033, 0, 32\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 831 - 486. Calculate the greatest common divisor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212074162 to the power of 1\/2, to the nearest integer?\nAnswer: 14563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -412a (base 12) to base 2\nAnswer: -1101110110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 34224990.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2450)*-4 + sqrt(50) - (2*sqrt(2) + -1 + sqrt(16)\/sqrt(8)*6))**2*4.\nAnswer: 2288*sqrt(2) + 163608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 6. Let r = 111 + -111.1. What is the third smallest value in r, 3, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/34 + 3947\/26724. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/5 (b) 0.02 (c) -0.02 (d) -4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -9*s - 77 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1a2 (base 11) to base 4\nAnswer: 3221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 7*k**5\/30 + k**2 + 8*k. Let s(l) = 4*l. What is i(s(u))?\nAnswer: 224*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-12)*(-3)\/2. Let n = -1 - b. Is 2 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 35*a + 181*a - 211*a - 9.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41410824 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 2, -9, 0.04, 35\/9, -0.4?\nAnswer: 35\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -194\/59 + 9943\/2360. Let d = i + -68\/35. Calculate the common denominator of 19\/22 and d.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 12:19 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from {d: 2, q: 2, h: 1, b: 2, r: 1, l: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-25) + (-1612490)\/(-441375)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 413 + 202. Let l = k - -225\/2. Calculate the common denominator of l and (-50)\/18*5\/(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -634*m**2 + 319*m**2 + 537*m + 316*m**2 as p*m + z*m**2 + f and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -9. Solve w = -y + 5*w - f, -8 = 4*y + 4*w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705620542 to the power of 1\/3, to the nearest integer?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 339314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}