diff --git "a/data/dm_maths/full_data_1/2286_11255.jsonl" "b/data/dm_maths/full_data_1/2286_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2286_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the fth term of -16329, -32654, -48979, -65304?\n\"Answer: -16325*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-201 - -203) + (-2)\/(4\/6). Let b(x) = -7*x**2 + 11*x + 18. Let j(w) = w**2 - 1. Let g(a) = q*b(a) - 6*j(a). Factor g(n).\nAnswer: (n - 12)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 + 914*j\/3 + 5476\/9.\nAnswer: 2*(j + 2)*(j + 1369)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -106817 - 411.8.\nAnswer: -107228.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4*-1570.35\nAnswer: 6281.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u - 3*t + 18, -4*u + 3*t = 42. Let y be 5\/((-15)\/u) + -2. Let m(p) = p**2 - y*p**2 - 57 + 57. Let a(g) = -15*g**2. Calculate m(a(q)).\nAnswer: -225*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3637 divided by -121?\nAnswer: -3637\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 + 3.99. Which is the nearest to 2\/5? (a) y (b) -4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -152*d + 293. Let r(h) = -452*h + 867. Let w(q) = 4*r(q) - 13*t(q). Determine w(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-33)*(x\/(x*x*x**(-1\/3)\/x*x))\/x*x**(2\/101)*x**30\/x assuming x is positive.\nAnswer: x**(18590\/303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 62884097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*m - 33*m + 2*m + (-5*m + 19*m - 12*m)*(-2 - 4 + 3).\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4272 - -1665. Let m = -159027 - -38634. Let x = g + m. Round x to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - 1225\/35 - -59.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 - (-175 - (25 - 113)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -55, 1\/278, -0.003?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 5:10 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 4. Let r = i + 10. Suppose r*m + z = 5, -m + 3*m = 2*z + 2. What is the greatest common divisor of m and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (687*g - 123*g + 202*g)*(-1 + 3 + 0)*(5*g + 0*g - 3*g).\nAnswer: 3064*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80359364?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.0524.\nAnswer: 0.00524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -20. Let y = m - -102. Let d = -23 + y. Calculate the highest common factor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, o: 5, f: 1, g: 4, c: 1, p: 1}. Give prob of sequence ogg.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t**2 + 3*t - 8. Is i(2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 8. Let u be s(6). Suppose 3*o - u*o = 4. Let p be 13\/2 - (-6)\/o. Solve -4*a = -0*a + p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*b - b + 34 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 287650561 to the power of 1\/2, to the nearest integer?\nAnswer: 16960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4515 - 3263?\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 78? (a) 2\/3 (b) 1\/8 (c) 6 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2 + -1)*27. Let i be (4 - 7)\/(g\/15). Suppose 0*t - 141 = -i*d + 3*t, -3*d + 3*t + 87 = 0. Calculate the remainder when d is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 190 + -135. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-637) - ((-10864560)\/(-2744))\/30\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36148607*d**3 + 22107089*d wrt d.\nAnswer: -216891642*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1312324*l - 212. Let p be r(13). Round p to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.36538 and -0.4.\nAnswer: 0.546152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32702.37 milligrams to grams.\nAnswer: 32.70237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -4*v - 30, -3*i - 21 = -41*v + 46*v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/5))**22)**28 assuming x is positive.\nAnswer: x**(3696\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11023 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + y = -925, y = -5*q + 887 + 258. Calculate the greatest common divisor of 506 and q.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169781?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971496687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.8 + -27. Let r = 1.1 - 0.1. Which is smaller: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.8*0.074\nAnswer: 0.8732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5763754118?\nAnswer: 2, 29, 99375071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 24*d + 33. Let a be l(12). Let s = 180 - a. Let j = 5 + -4. Sort s, j, 4, -5 in ascending order.\nAnswer: -5, j, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2092 + 823. Let z = 1269.3365 + g. Let i = -0.33 + z. Round i to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*s - 7*s - 155. Let h = 47 + -39. Solve s*p + 2 = -h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:01 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from upuuucpuuppuuuuuppp. Give prob of sequence ppu.\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1840 - ((-27)\/36 + 86\/8) and 100.\nAnswer: 18300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 21. Let n(h) be the first derivative of -2\/3*h**3 + f*h + 0*h**4 + 0*h**2 - 1\/5*h**5 + 2. Find the third derivative of n(g) wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*2*10\/(-25) - -6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - t - t + 16, 4*j + 28 = 5*t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -88 + 169. Let v be p + -1 + 3 + 1. What is v rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/20694168 and -71\/102.\nAnswer: 20694168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -558, -1071, -1546, -1983, -2382?\n\"Answer: 19*s**2 - 570*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z**3 + 2*z**3 - z**3)*(87*z + 2 + 71*z + 59*z) in the form u*z**2 + y*z + l*z**3 + t*z**4 + n and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21552 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(-24)*d\/(d\/(d\/(d\/d**(7\/2)*d))*d*d)*d*d\/((d\/(d*d**5*d))\/d) assuming d is positive.\nAnswer: d**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -242 - -0.997412976595.\nAnswer: -241.002587023405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 5 + f + 0*f - 15 - 22*f**2. Let n = -29 + 52. Calculate the remainder when n is divided by b(22).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 169996.8ml?\nAnswer: 169.9968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10902 + 10907. Which is the third smallest value? (a) 28 (b) -2 (c) -3 (d) -0.4 (e) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 times 0.053\nAnswer: 5.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3235, 6454, 9673, 12892, 16111?\n\"Answer: 3219*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + i - 42 = -2*n + 10*n, 0 = -i + 5*i - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/2523 and 10432\/480 + 17\/(-1).\nAnswer: 12615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3405 is divided by 851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1267 + 1267.1. What is the third biggest value in r, -5, -1\/8, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2736 and 4014396.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-10)*3\/9*27\/(243\/(-36))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -63. Calculate the remainder when 146 is divided by d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.41059 rounded to two decimal places?\nAnswer: -7.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + s**2 + s. Let c(v) = 9*v**3 - 23*v**2 - 6*v. Let k(z) = c(z) + 6*g(z). Suppose 4*a = -a + 85. Let h(r) = r**3 - 6*r**2. Give a*h(y) - 6*k(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 7*n**2. Let r(m) = 6*m**2. Give -6*r(g) - 5*x(g).\nAnswer: 5*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o - 2056 + 6258 = 0. Calculate the remainder when o is divided by -8*(-15)\/(-10)*-4.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203165457.\nAnswer: 3, 11, 983, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7397.673 minutes?\nAnswer: 443860.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -7*w**3\/3 - 3*w**2 + 1. Let k(x) = -x**2 - 14*x + 6. Let g be k(-14). Let b(u) = 4*u + u**2 - 4*u + u. Give g*b(s) + d(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 12, -2, -19, 3, 5, -52.\nAnswer: -52, -19, -2, 3, 5, 12, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6755*z + 55293 = -6734*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679536 is divided by 4951.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 3*w = 99, -2*o - 2*w - 2 = 0. Let j(f) = f**2 + 11*f - 24. What is j(o)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30361 less than -30360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**5 - 1960*j**4 + 250460*j**3 - 9799710*j**2 - 78768945*j - 116303850 = 0. What is j?\nAnswer: -5, -2, 117, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (150\/84)\/((-247554)\/2530059). Let d = -47\/263 + 114332\/638301. Let g = d + f. Calculate the common denominator of -121\/10 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7642.87 + -7572. Let o = 72 - t. What is o rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 b when three letters picked without replacement from {j: 10, b: 3, s: 2}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 + -99. Let g(b) = 3*b**2 - 5. Let k be g(5). Suppose k = h - v. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 1\/4, -479616, -0.02, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 15 = 3*v + a, -a = v - 8. Solve 17 = v*g + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 208.\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 o, and 1 s when three letters picked without replacement from sfbtdfttoss.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 0 + 2*r - 1\/2*r**2. Let j(t) = t - 5. Let n(h) = j(h) - 5*x(h). Let c(d) = 2*d. Give n(c(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 23 = 4*i, i - 1 = 2*s + 2*i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -47. Let k(a) be the second derivative of 0*a**2 + 4*a + 0 + p*a**3 + 1\/6*a**4. Let x(s) = -s. What is x(k(c))?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1616798 is divided by 98?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/130)\/((-6)\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Suppose -4*n = -u*n - 2. Let r(b) = -3*b + b**n - 2 - b**3 - b - 3*b**2. Determine r(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h + 4 + h + 5. Suppose -3*g = -g. What is the units digit of o(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**3 + 81*t**2 + 66*t - 34. Calculate q(29).\nAnswer: -3166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 21, 6, 32 in descending order.\nAnswer: 32, 21, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3957451?\nAnswer: 3957451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(17 + 1)*-2. Suppose -4*h + 4 = -2*h, -4*d - 14 = -h. Are d and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1)*c)**(-2\/69))**(-25) assuming c is positive.\nAnswer: c**(50\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 6395?\nAnswer: -6390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-7\/5)\/(f\/((f**(19\/5)*f)\/f)))\/(f**(-10\/9)*f\/(f\/f**(-15))))**(-3) assuming f is positive.\nAnswer: f**(-788\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/l**(-1))\/l)**(-8\/3)*(l*l**0)**24)**5 assuming l is positive.\nAnswer: l**(280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 5*c + 6. Let z be v(5). Let p be (-2)\/3*45\/z. Are p and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -114 - -4?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -198*u**2 - 3757*u + 80. Calculate j(-19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify d**5\/(d*d*d\/(d*d*d**(3\/2)*d)) assuming d is positive.\nAnswer: d**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 6*f - 3. Let p be ((1 - 0)*-2)\/(-2). Calculate the lowest common multiple of j(-5) and (-3 + 7)*p\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*t + 1470 = -61*t. What is the remainder when 169 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 14 = 3*w, -5*t = 5*w - 3*t - 6. Suppose 2*u - w = 4*i, 5*i = 3*u - 2 - 0. Let d = -1 + 1.1. Sort 2\/9, i, d in ascending order.\nAnswer: i, d, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from jjjyjkkkddjj.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 12) to base 5\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t**2 - 4*t - 5. Let j be v(-5). Let q = 206 + j. Let n = -65 + q. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1785561 * -1.2.\nAnswer: 2142673.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*v + 6, -4*b + 5 = -3*v + 27. Factor 164*j**2 - j**4 + j**5 - j**3 + 0*j**3 - 163*j**v.\nAnswer: j**2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2803, -9918, -21771, -38356, -59667, -85698?\nAnswer: -116443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 7:27 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6196 = 882*t + 667*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = -3*q. Let d(v) = -v**3 + 2*v**2 - 4. Let k be d(q). Is (k\/(-10))\/((-2)\/(-545)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 7 - 1 = 2*c, 5*c - 4*l = -13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 18*r**2. Let t = 58 + -54. Let p(i) = -t*i**2 + i - i + 10*i**2. Determine p(z(d)).\nAnswer: 1944*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 8*q - 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0 - -6)\/(25586\/(-330) - -78).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4618 (base 11) to base 8.\nAnswer: 13665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/7)\/((-2790)\/(-10416)))\/(4*7\/112)?\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4134091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5553349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49206934, -4, -2, -1 in increasing order.\nAnswer: -49206934, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 2*r + 36, -152*r + 126 = -4*w - 145*r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2012 - 1976 - (66 - 0).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 19 + 1 = 0. Suppose -5*c + 15 = 0, -1456 = -5*d - r*c + 1639. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-3) - 1 - 263. Let q = 524 + r. Let c = q + -133. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 16*f**2 + 148*f - 690. What is d(-22)?\nAnswer: 3798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 898 divided by 2?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7045*c + 6 = 7048*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/16353 and -67\/104.\nAnswer: 1700712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-40))\/(2\/(-4)). Suppose -14 = -5*c + 5*i + 6, 3*i + 14 = c. Is c greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 1 h when three letters picked without replacement from vvehefvbhhbbvfvhv.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -9*v**3 + 7. Let x(b) = -16*b**3 + 5*b**2 + 7. Let j(c) = 8*c**3 - 2*c**2 - 4. Let f(o) = 5*j(o) + 2*x(o). Give 7*f(h) + 6*p(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 888596.7 millilitres in litres?\nAnswer: 888.5967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111546824281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0228547 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 135070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m - 9 = 3*b, 8 = -2*m - 4*b. Suppose 0 = -m*y + 2*y + 316. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*q - 2939 = 1109 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 1. Let a(k) = -7*k - 7. Determine a(p) - 6*j(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3700556*p - 5497174 with respect to p.\nAnswer: -3700556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.83 rounded to 1 decimal place?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 5 + -4 + sqrt(1100) + 3 + -5)**2.\nAnswer: -28*sqrt(11) + 2157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*x + 23*x**2 + 28*x + (3 + 3 - 3)*(2 + 2*x**2 - 2) + 18*x**2 - 14*x**2 + 7*x**2.\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/4 + 53*g**4\/2 + 2031*g**3\/2 + 16376*g**2 + 326393*g\/4 - 474513\/2.\nAnswer: (g - 2)*(g + 23)**3*(g + 39)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (20 - (4 - 1 - (-6 - -2)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**2 + 5*o + 33. Let j be g(-13). Is (-4)\/(-1) - j\/(-28) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**2 + 2*y - 3. Let m be h(2). Suppose 2*a = -5 + 1. Is a\/6 + 28\/m + 156 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**21*i\/(i\/(i\/(i\/(i*i**(1\/27)\/i)))))\/(i\/(i\/(i\/(i**(-17)*i*i*i)))*(i\/(i*i**27\/i*i*i))\/i) assuming i is positive.\nAnswer: i**(973\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/63 in -0.07, -5, 0.2, -4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -152.3+-1269722\nAnswer: -1269874.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1376183788879 - 1376183789904.999999331. Let g = r - -1026. Round g to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**5\/10 - 2*o**4\/9 + 17*o**3\/9 + 2*o**2 + o - 19. Factor r(t).\nAnswer: -2*(t - 2)*(t + 3)*(3*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5998 is divided by 602.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -165 + -2.1\nAnswer: -167.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*((-36)\/15 - -4). Sort t, 3, -4, -1 in descending order.\nAnswer: 3, -1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 11:01 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -1\/2*k**2 + 1\/2*k**4 + 0 - 7\/6*k**3 - k + 1\/20*k**5. Calculate p(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20489, -20468, -20433, -20384?\nAnswer: -20321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*b**3 + 28*b**3 + 27*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 1)*(16*y - 7*y - 2*y) + (4 + 0 - 5)*(-4 + 4 + y) + 3*y + 0*y - 5*y in the form u + v*y and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27092142 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119923476.0000409 - 119923528.7. Let t = o + 52.7. Round t to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 9. Let k = p - 0. Let i be (-4 - -3)*(-1)\/1. Is k > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1221 and 2\/363.\nAnswer: 13431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 + -36 + (5 - 77)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r - 1899 + 3817 - 1905 + 35*r**2. Let v(a) = -23*a**2 - 3*a - 9. Calculate 5*d(y) + 7*v(y).\nAnswer: 14*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 151.33.\nAnswer: -756.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 259957282 divided by 5174?\nAnswer: 50243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/(-77) - ((-1173)\/187 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-2) - (1 + 5). Suppose 5*a = -5*a - 40. Put a, c, 3 in descending order.\nAnswer: 3, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*j**2*n*u + 9*j**2*n - 236*j*m**3*n*u + 136*j*m**2*n + 2*j*n + 3*m**3*n + 2*m**3 - n*u wrt u?\nAnswer: 5*j**2*n - 236*j*m**3*n - n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/2)\/((-3)\/(-9)). Let p(k) = -k**2 - 4*k - 15. Let b be p(-13). What is the units digit of (h\/2)\/(6\/b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-31.3.\nAnswer: -3.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.997709 rounded to 1 decimal place?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s + 10*s = 52*s - 11*s + 931 for s.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 14 = 4*p, -4*s + 33 + 27 = -5*p. Suppose 5*l - 5*f + s = 0, 5*f - 9 = 1. Sort 0.5, l, 1.\nAnswer: l, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23966*j**3 + 37*j**2 - 37*j**2 + 18533*j**3.\nAnswer: 42499*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65 and 3 + (4\/(-3))\/(36\/(-54))?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-8)*-4*4\/6. What is the closest to j in -23\/5, 0.7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b - 145 = -5*k, 3*b + 37 = k. Calculate the remainder when 30 + 86 + -20 + 4 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -40.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*k, 2*b + b - 14 = -k. Let j be (2 - -22)\/(b\/2). What is the greatest common divisor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3 - 727*h**2 + 97120*h - 3628800 = 0.\nAnswer: 80, 567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24626, -24625, -24624?\nAnswer: -24623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 - 11*r**2 + 17*r + 48. Give m(3).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -0.3, 9, 0.4.\nAnswer: -3\/4, -0.3, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*b - 23, -2*g - 3*b = g - 15. Let l be -5 + 5 + 2 - g. Let r be 213\/(-45) + 2 - -3. Is r at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6015.\nAnswer: 3, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p + 0*p + 28 - 122 - 2*p + 2*p + 2*p + (1 - 3 + 1)*(-p + 0 + 0) as g + v*p and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22530122 is divided by 64006?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (7 - (1 - -4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**3 + 4*t**2 + 3 + 2*t**3 - 2*t**2 - 4*t + 5*t**2. Let k be g(3). Which is the closest to k? (a) 3 (b) -0.24 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4486*b**2 + 309618*b - 5796 = 0.\nAnswer: 42\/2243, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (33 - -3) - (279 + -215)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1533105 + 2?\nAnswer: -1533103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 10*c**2 + 11*c - 31. Let s be a(-7). Solve -2*m = 2*b - s + 31, -m + 6 = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let g = 11 - i. Suppose -4*w + 56 = 4*x, -5*x = 2*w - g - 23. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 178 = -171. Calculate the remainder when 33 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a - 4*a**2 + 5*a**2 + 1 + 3*a**2. What is the smallest common multiple of n(1) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368 = 5*w - 987. Suppose -w = -6*i + 269. What is the greatest common factor of i and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 234 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2549.\nAnswer: 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3816130726 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2344 and 2189882.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -357011*w**3 - 21*w**2 - 63*w + 3. Let r be f(-3). Round r to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 9:56 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*t - 1385 = -6135. Suppose -l - 210 - 108 = 4*f, -2*f + 4*l - 168 = 0. What is the remainder when t is divided by f\/1*(-6)\/15?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o + 8. Let n be -27 + -690 - (-9)\/1. Let l = 714 + n. Determine r(l).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5733 by -3.\nAnswer: 1911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119426.\nAnswer: 2, 211, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6034815 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: Simplify (s**(2\/21)*s*s)\/s**(3\/14) assuming s is positive.\nAnswer: s**(79\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76101 is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1555281981.\nAnswer: 3, 11, 139, 113021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -137329b?\nAnswer: 13732a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - 10*m - 12. Let d be c(6). Solve d = -3*r - 4*l + 7, l - 7 = 4*r + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -204.4 - -201.5. Put -14, -2, g in descending order.\nAnswer: -2, g, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 122*g**2 + 709*g**2 - 3*g.\nAnswer: 831*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2691 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 82770930 divided by 3069\nAnswer: 26970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 8:14 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10 = -0*n. Suppose -3*r = 2*g - 12, -10 = -3*r - n*g + 11. Suppose -f = 5*q - 40 - 14, r*f - 136 = -3*q. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3312 (base 6) in base 3?\nAnswer: -1001022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167.3554cm to nanometers.\nAnswer: 1673554000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + 5. Let p(k) = 5*k - 15. Let s(l) = -3*p(l) - 8*r(l). Let t = 0 - -4. What are the prime factors of s(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.24 + 0.24. Let b = 15 - 11. Let t = b - 4.5. What is the nearest to 0.1 in h, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -15*s + 3. Let a be (-8)\/(-30)*(-210)\/(-28). Suppose -m = 4*v - 430, a*v - s*m + 102 = 3*v. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 418 or 859?\nAnswer: 418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-11\/4)*x*x\/(x*x\/(x\/(x**33\/x)))*x*x**(-2\/137)*x*x**(-40)*x assuming x is positive.\nAnswer: x**(-38779\/548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40787280.\nAnswer: 2, 3, 5, 23, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 141 - (-1 - -1*(1 - 1)). Let f = 59 - 145. Let q = i + f. Calculate the greatest common factor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in sixty-seven fifths of a tonne?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*m + 17*m + 8. Let h be 11\/((-1)\/(m + 2)). Solve w - 4*j + h = 0, -5*w - 15 = 3*j - 4*j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-7) + 702\/42?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 5386 + 5386.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 7:08 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 127885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -47*d**2 + 11*d + 20. Let y(t) = 16*t**2 - 4*t - 7. Determine 4*l(h) + 11*y(h).\nAnswer: -12*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14833 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, j: 6, v: 1, e: 3}. Give prob of picking 1 b and 2 j.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9*g - g**2 - 24 + g**3 - 6*g**2 + 4*g - g. Let n be c(6). Calculate the highest common divisor of 48 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 21*y - 18. Let i(t) = 15*t - 13. Let m be i(y). Factor 2\/3*x**m + 0*x - 8\/3.\nAnswer: 2*(x - 2)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 43*r**2 - 69*r + 47. What is x(1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 875123363?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 - 2*t**4 - t**4)*(12 + 3 - 1)*(-6*t - 2*t - 6*t).\nAnswer: 392*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 562*s - 560*s - 2064 = 0. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.12 and 3484.\nAnswer: 3482.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -320200 + -44003?\nAnswer: -404203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-357)\/34*(-24)\/14. Suppose -3*g + 5*g + 1 = -3*x, 3*g - 2*x - q = 0. Suppose 0 = 2*j - g. Solve 0 = y - j*y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90.8 + 91. Let b(c) = -c**2 + 6*c - 5. Let u be b(6). What is the second biggest value in r, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 26 + 24. Let d = l + -7. Let c(s) = s**2 + 2. What is c(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*3*3 + 4*-1*sqrt(66) + sqrt(66))\/((sqrt(6) + (sqrt(6) + sqrt(18)\/sqrt(3))*-2)*2*-2))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7002809?\nAnswer: 11, 636619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 12. Let j be u(8). Let x be (j - 16)*(-2)\/6. Suppose 0*y = -x*y + 32. What is the remainder when 30 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151.39 + 151.33. Which is the smallest value? (a) -1.6 (b) y (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-27)\/(-6) - 4)*0. Solve -f = -y*f + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 3*k - 3. Let o be m(-3). Let j be 25\/3 + (-2)\/o. Let l = j + -7. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/18)\/((-2)\/(-42) - (-4)\/(-28)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -0.51.\nAnswer: -4.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from mimi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 664 - -584. Is f a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211634752 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1246800*v**5 + 1603548*v.\nAnswer: 24936000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-221)\/187)\/13*-286\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d + 4. Let n(z) = -2*z - 5. Let y(k) = 4*k**2 - 4*k + 5. Let r be y(-3). Let s = r + -82. Let b = -31 - s. Give b*n(f) - 3*a(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -150183 or -150181?\nAnswer: -150181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or -0.31?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221 + 10?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3674098135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (24 + -4 - 46).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/375 + -764\/2625. Sort f, 2\/13, 0.3, -1\/92.\nAnswer: f, -1\/92, 2\/13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/60 - (-6)\/8. Let o be (-1)\/3 + 2\/10. Put b, 5, o in decreasing order.\nAnswer: 5, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g**2 - 1670*g - 554. Calculate the remainder when (18\/8)\/(2\/16) is divided by x(-278).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/812 and -149\/84.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 1. Let o(b) = 20*b**2 + 3*b - 3. What is o(q) - 3*s(q)?\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/8 of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*b - 2*b + 755, -2*b = 3*j - 739. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -141*t**2. Let i(z) = -847*z**2. Give m(i(u)).\nAnswer: -101154669*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 12:00 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 18 = 2*n, 0 = 3*z - 5*z - 3*n - 3. Let s(p) = 6 - 3*p**z + 2*p**3 + 13*p - 8*p**2 - 7*p**2 + p**2. Does 9 divide s(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0078322 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 3.5. Let j = 6.4972 + i. What is j rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1294427?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114 + 115. Solve 0 = -j - f + 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -43.04 (b) -4.3 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -r + 20*r. Find the common denominator of -38\/7 and r*(-1258)\/(-576) + (-108)\/486.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -93 + 103. Solve -3*z = -4*n + 11 + 4, -2*z = 5*n + v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**5\/30 + 11*w**2. Let z(m) = -1 + m**2 + 1. Give b(z(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000776417 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 10 + (-105 - -89)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 2842.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + (-2*-1*sqrt(114))\/(sqrt(24)\/sqrt(4)*-5))**2.\nAnswer: 8*sqrt(19)\/5 + 176\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/128160 and -41\/70560?\nAnswer: 6279840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-1 + (-15)\/6). Suppose -38 = 2*l + 2*k - 338, -5*k - 174 = -l. Calculate the greatest common divisor of l and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1191*r**2 + 160*r**2 - r + 225*r**2 - 572*r**2)*(-r + 3*r - r).\nAnswer: -1378*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, s: 3, y: 4}. What is prob of picking 3 y and 1 s?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06456 times -2?\nAnswer: 0.12912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 948.6169 tonnes in milligrams?\nAnswer: 948616900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 times -10.05222?\nAnswer: -23.120106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294 + 2*z - 8*z + 2*z + 79.\nAnswer: -4*z - 215","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55423 (base 8) to base 13.\nAnswer: a7c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 15*z**2 - 10*z + 13. Suppose 2*m + 64 = -4*l, -269*m - 40 = -267*m + l. Give r(m).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*c*g**2 - 81*a*c*g - 165*c*g**2 + 2*c*g + 2219*g**2 + 45*g - 10 wrt g.\nAnswer: -4*a*c - 330*c + 4438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3655731 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*q**2 + 0*q**2 + 6*q + 3*q**2 - q**2 wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + y - 891 = 0, -5*q + 5*y - 903 = -8*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 12:05 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence boob when four letters picked without replacement from {b: 4, o: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 4283732190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33, -41, -63, -105, -173, -273, -411?\n\"Answer: -a**3 - a**2 + 2*a - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from kvvvw?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 5:40 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 22368.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(0*j - j + 7 - 8)*(-62 + 16 - 31)*(2*j**2 + 6 - 6).\nAnswer: -154*j**3 - 154*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 283498779637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 30*a**2 - 195*a - 725. What is f(-35)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*y + 28, n = -y + 34 - 14. What is the remainder when 285 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -11*a - 20. Let s be d(-2). Solve 0 = 2*o - i - 4, -4*o - o = s*i - 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-60)\/(-18) + -3)*30. Put 1, 0, -3, x in ascending order.\nAnswer: -3, 0, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.1 (b) -25 (c) -1 (d) -2\/3 (e) -10\/99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in 5, -4, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**2 + 2*w - 1. Let q(g) be the third derivative of g**5\/60 - g**4\/24 + g**3\/6 - g**2 + 116*g - 2. What is 6*q(p) + 2*r(p)?\nAnswer: -2*p**2 - 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 - 4*j**2 - 6*j - 2. Let r be m(-2). Suppose 17*d - r*d = 21. Let b(i) = -i**3 + 4*i**2 + 2. Give b(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697401753 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -13. Let g be -9 + (-3 - -4)*-1. Let a(h) = h + 13. Let q be a(g). Solve -k = 4*p + n, -2*k - 1 = -q*p - 15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3)*27\/(-18). Let f = -400 - -391. What is the nearest to f in -0.1, -0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -380, 6, -21?\nAnswer: -380","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.388 - 6.672. Let f = v - -7. Let p = -0.04 + f. Which is the closest to p? (a) 0.2 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7402?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, q: 1, h: 4, u: 1, b: 3, a: 2}. Give prob of picking 1 b and 1 u.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + k**2 - k - 1. Let f be 61 + -69 + 1 + 12. Let u(w) = 4*w**3 - 2*w**2 + w - 10. Let a(h) = f*q(h) - u(h). Determine a(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 40. Let a be l(-23). Is 48 a factor of 621\/1 - ((-54)\/(-3))\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.3 (b) -4\/13 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/((-14)\/(-8)) + 895. Suppose -s = -0*c - c. Suppose c = 5*m - 3*a, 4*m - 159 = 2*a + 561. List the prime factors of m.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*z + 1261 = 730*z + 24213 + 1197 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 20*u**3 - u**2 - u + 1. Let f be y(1). Let v = 18 - f. What are the prime factors of 11\/(44\/120) + v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 89 = -s, 0 = -l - 4*s + 3*s - 47. Let b be ((-40)\/(-7))\/2*(-147)\/l. Differentiate -3*v**2 - v**2 - v**2 - b*v**2 - 9 wrt v.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 15, s: 4}. What is prob of sequence asas?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 749543, 749550, 749581, 749648, 749763, 749938?\nAnswer: 750185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from mifmfmiimmmfifmf?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 5 - 3)*(-3*h + 3*h + h) + 2 + h - 1 + 0 + 17*h - 2*h + 0*h.\nAnswer: 9*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 41*c. Let z(s) = -6*s**2. What is r(z(t))?\nAnswer: -246*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2 - 2 - 781\/(-187)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence toi when three letters picked without replacement from {t: 3, o: 13, i: 1}?\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**4\/12 - 7*p**3\/6 - 5*p**2 + 6*p. Let i be r(-3). Suppose -i = 3*z - 14. Which is smaller: z or 10?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -28, 3 in increasing order.\nAnswer: -28, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.033*-20\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d + 3. Let p(x) = -x. Let r(c) = l(c) + 4*p(c). Let h(m) be the second derivative of -5*m**3\/6 - 21*m**2\/2 + 17*m. Let z be h(-5). What is r(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 12.28704ml?\nAnswer: 0.01228704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + u = 17, -s - s - 5*u = -13. Let z(a) be the first derivative of 2*a**2 - 4*a - 1180. Let j(r) = 9*r - 8. Calculate s*j(i) + 13*z(i).\nAnswer: -2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.1 (b) 1 (c) -3202\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 0) + 0\/(-1). Let u = -1315\/36 - -147\/4. Suppose -2*g - 2*y = 16 - 6, 3*g = 4*y + 6. Which is the closest to w? (a) -0.4 (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -52. Suppose m - a - 3*a - 15 = 0, -2*m + 4*a + p = 0. Solve 0 = 3*d - 3*k, 4*k - 4 = 5*d + m*k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b - 3787*b**3 + 0*b + 3762*b**3.\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -746, -2580, -5550, -9668, -14946, -21396, -29030?\nAnswer: -37860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -230.14 times -0.5?\nAnswer: 115.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -561c (base 13) in base 15?\nAnswer: -3869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(20)\/sqrt(64).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -911*j**2 + 157*j - 35512553.\nAnswer: -1822*j + 157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(297)\/sqrt(11).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.8 <= 165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p*p**(2\/7)))\/p))**(-3\/7))**(-45)\/(p\/(p\/p**(-5\/2))*p*p**(-5\/2)*p)**(-2\/3) assuming p is positive.\nAnswer: p**(2062\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -8*k + 5*k. Let u(n) = -6*n**3 - 3*n**2 - 3. Let b(c) = -c**3 - c**2 - 1. Calculate k*b(t) - u(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749895?\nAnswer: 3, 5, 49993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3770?\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*u + 19. Suppose 3*n = 4*n - u. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1428*k - 1057*k + 2445*k = -1989*k - 321935 for k.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1959 is divided by 218?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5359291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.7512657 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -8\/7 (c) 299 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-14) + (-3)\/21*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4182 (base 15) to base 6.\nAnswer: -144035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 1\/2, -34, -3\/2, 23?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0 + 0*j**4 - 17\/10*j**5 + 33*j**2 - 1\/30*j**6 + 1\/42*j**7 + 0*j + 0*j**3. What is the third derivative of v(b) wrt b?\nAnswer: 120*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 385*j**2 - 51*j - 83*j + 3 - 34*j - 389*j**2 + 3 to the form p*j + z + w*j**2 and give p.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -600*l**2 + 312?\nAnswer: -1200*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/(-20))\/(1\/((-2)\/125)). Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**2 - w**2 + w**2)*(5 + 0 + 0)*(6*w + 0*w - 4*w) as c*w + p*w**3 + f*w**2 + l and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-4)\/(-5)*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/((12\/3)\/8). Let h = -18 - j. Calculate the greatest common divisor of 40 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 6*r**2 - 4*r - 6. Determine n(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14171512*i + 801399 wrt i.\nAnswer: -14171512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.12 + -17.88. Let a = -17.5 - g. Let p be (-2)\/8 - (-3)\/(-20). What is the closest to 1 in p, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(35\/(-7))*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*k = -111246 + 117742 for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1585074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/16 (b) -3\/14 (c) -13\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-15\/2))**(-49))**(5\/2))**(-21) assuming q is positive.\nAnswer: q**(-77175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 5*q - 6. Let w be t(-5). Suppose 5*j - 6 = w. Suppose -n - 1 = 0, 0 = 3*y + 2*y - 5*n - j. Sort 3, -1, y in descending order.\nAnswer: y, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/4*(-27)\/(-1). Differentiate 28*d + 7*d - b - 13*d + 14*d - 2 with respect to d.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2.17, 0.3, 3, -56, 1\/6 in ascending order.\nAnswer: -56, 0, 1\/6, 0.3, 2.17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 12:30 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 + m**2 - 1. Let i be x(1). Let l be (0 + i)*1\/(-1). Factor 7*o**l + 3*o + o + 3*o**2.\nAnswer: 2*o*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84688092 divided by 13757.\nAnswer: -6156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2474523118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 4*a + 1. Let m be w(3). Let q = -135 + 138. Let f = -11 - -18. Solve -m*c + u = -19, -f*c - u = -q*c - 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 - -129)*1\/(-6) and 5\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5*x - 3088 + 5568 = 2745, 37 = -3*s - x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 15 + 4 + -14 + (-9 - -20) - -74.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 169 + -53. Let u = 124 - g. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1093 - -3b4ba?\nAnswer: 3a427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 11*u + 2 = -2*r, 4*u = -4*r - 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30\/25)\/((-4)\/(-10)). Suppose -2*d - 51 = -7*d - g, 0 = w*d - 4*g - 49. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 78\/21 + (-8)\/(-28). Suppose 4*u - 53 = -s*i - 5, -3*i + u + 52 = 0. Solve 4*c = -4 - i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h + 8*h - 12*h + 6*h + 1 + 1. Let o(g) = g. Let l(r) = r + 1. Let z be l(-5). Calculate z*o(j) + x(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or 33?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -859 + 895. Calculate the remainder when 1833 is divided by s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2784 and 3392379?\nAnswer: 3148127712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -286*c + 331*c + 405 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 11:34 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y + 94. Let b be o(-24). Let z be (-1411)\/(-249) + b\/3. Solve 5*r = z*p + 20, 0 = -4*p + 4*r - 6*r - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16848500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 85 = 293. Let s = i + 64. Suppose -s = -t - 5*m + 16, -3*m + 12 = 0. What is the remainder when 97 is divided by t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + m = -935, 2*b - 2*m - 463 = 3*m. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 - 380 = -8*o. Suppose 22 = d + a + 5, 5*d - a = o. Calculate the least common multiple of d and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + 2 + (61 - 87) - (-21 + 10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -b - 1, -3*b - 18 = -5*y - 5. Suppose -25 = -5*l, 0 = 2*v + l - y*l - 220. Is v a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51383225 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60421*i**4*v**2 + 748*i**3*v**2 + 8*i**2*v + 10*i*v**2 - 4983*v**2 wrt i?\nAnswer: 1450104*i*v**2 + 4488*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9*a - 10. Let c(q) = -26*q + 29. Let z(n) = -6*c(n) - 17*d(n). What is the units digit of z(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0101575896 rounded to five decimal places?\nAnswer: 0.01016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 7. What is k(-26)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 14 = -5*u + 3*n, -3*n = -5*u + 17. Let w be (-2)\/16*10\/15. Is w bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369293959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111000011100010 (base 2) in base 9?\nAnswer: -103527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnwrnrwwnnwwnerwww. Give prob of sequence ew.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 9*k + 9. Let g be f(-5). Let z = g + -22. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 12*r**2 + 19. Determine g(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.42 - -1.02. Let a = -173 + 862\/5. What is the second biggest value in j, 2, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -12 + -2 + 8 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {e: 1, l: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1555345 - 1060?\nAnswer: -1556435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00111963 rounded to 6 dps?\nAnswer: -0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.32 - -0.28. Let v = 1 + -3. Suppose 3*f + 5*c = c, f = -2*c. What is the nearest to f in -5, v, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(84) + sqrt(84))*5)\/(-2*sqrt(300)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1308.16 and -25.\nAnswer: -1333.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4315040 (base 6) to base 2.\nAnswer: 110011110110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 - 87. What is the derivative of 6*g + 3*g - 10*g - g + 5*g**3 - k wrt g?\nAnswer: 15*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200120013 (base 4) to base 8\nAnswer: -403007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2085784667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/5, -3\/7, -1.3, 0.3 in descending order.\nAnswer: 2, 2\/5, 0.3, -3\/7, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2904225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36.031185 and 0.4.\nAnswer: 14.412474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -839*q**2 + 432*q**2 + 425*q**2.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48.7 - -17.1. Let t = n - -17.8. Round t to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 12*f**2. Let a(s) = 0*s**2 + 22*s**2 - 15*s**2. Give v(a(z)).\nAnswer: 588*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -9075?\nAnswer: 9076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10098 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.95 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/8)*x**2*x*(x*x**(1\/8))\/(x\/(x**(-1\/4)*x)))\/((x*x*x**(-1\/3)*x*x)\/(x*x**(1\/4))*x**(1\/3)\/x**(-2\/7)) assuming x is positive.\nAnswer: x**(17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**5 + 2*g**2 - 2*g**2 + (-8*g + 8*g + g**3)*(-3*g**2 + 3*g**2 + 5*g**2).\nAnswer: 9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, 5, -9 in descending order.\nAnswer: 7, 5, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 19*r**3 - 2*r**2 - 3*r - 2. Let u be z(-1). Let s = -28 - u. Let f be 2\/s - 18\/24. Sort -4, f, 3 in descending order.\nAnswer: 3, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + n - 1934 = 0, -k + 3*k - 4*n - 976 = 0. Calculate the highest common factor of 44 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from mrmr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 2*h**2 + 3*h**2 - 3*h**2 + 4*h**2 - 9*h**2 + (1 + 2 - 1)*(2*h + h**2 - 2*h) + 0*h**2 + 3*h**2 + 0*h**2)*(3*h - h + h)*(30*h**2 - 13*h**2 + h**2).\nAnswer: -54*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or 13?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-2 + sqrt(832) + -5)*6)*3 + -4 + 4)**2.\nAnswer: -34560*sqrt(13) + 283968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/5 + 282*i**2\/5 + 3748*i\/5 - 58032\/5.\nAnswer: 2*(i - 9)*(i + 26)*(i + 124)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**6)\/(u**(-8)*u))\/(u*u\/(u\/(u*u*(u*u*u**(-6\/11)*u)\/u))*u**2))**(-13\/2))**(5\/7) assuming u is positive.\nAnswer: u**(455\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/3 - 3*c**3 + c**2\/3 + 35*c.\nAnswer: -c*(c - 3)*(c + 5)*(c + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(209) + sqrt(209) + -5*sqrt(209)*2 + sqrt(209))*-4)\/((6*sqrt(44) + sqrt(11) + sqrt(11) + sqrt(11) + sqrt(110)\/sqrt(40))*4).\nAnswer: -56*sqrt(19)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 0.075, 65.\nAnswer: -4, -2, 0.075, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 58*k**2 + 2113*k - 182. Calculate g(-83).\nAnswer: -3336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, b: 1, z: 2, j: 1}. What is prob of picking 2 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 8:03 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11 - ((-1)\/(3\/3))\/(-89 + (-347142)\/(-3901))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -955*f + 239*f + 320*f - 6954 = 3342 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 8, e: 6, o: 1}. What is prob of sequence oe?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1687980 rounded to the nearest 10000?\nAnswer: 1690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -12 + 9065\/735. Which is the nearest to 86? (a) -3\/4 (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -3, 2, -6943 in descending order.\nAnswer: 2, -3, -4, -5, -6943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5018 and -19.\nAnswer: 95342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-275)\/55*(8\/(-5))\/1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1331.54255 to 1 decimal place.\nAnswer: 1331.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/3 + (1 - 0). Let s = 428 - 428. Which is the nearest to 0? (a) 5 (b) t (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -1) + 8 + -8. Let i = r - 0. What is the smallest value in 5, 1\/7, i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*k**2 + 23*k**2 - 4*k**2 - 5*k - 36*k**2 + 5*k.\nAnswer: -44*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 354, 533, 728, 945, 1190?\nAnswer: 1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 50*t**2 + 18*t + 1687. Calculate x(51).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 224 or 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (11 + -5 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 5*w**2 - 4*w + 2. Let d be z(-4). Suppose 4*f = -5*r - 1, 3*f = -5*r - 1 + 4. Put -3, 2\/7, d, f in ascending order.\nAnswer: f, -3, 2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 10*d**2 + 7*d + 1. Let a be b(10). Let n = a + -31. Let y = n - 39. Which is greater: 5\/19 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b + 3*b)*(314 + 323 - 18 - 65).\nAnswer: 2216*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 377063 take away 2?\nAnswer: 377061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7 + 3*a - a**2 + 6 + 0*a**2 + 7*a - 8. Let u = 17 + -10. Calculate the remainder when 58 is divided by s(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a - 5 - 3*a + a - 5. Let r be f(7). Sort 5, r, 0 in ascending order.\nAnswer: 0, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -375, -570, -765?\nAnswer: -960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*j - 191654 = -2083*j for j.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4109 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 8*n - 5*n. Suppose 3*f - n = -5*r + 17, 0 = 3*f + 3*r - 24. Suppose f*w = 19 + 143. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-252)*(-1911)\/1820?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/529688 and -45\/1144634.\nAnswer: 334233128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5 - 10. Let s = 40.5 - b. Let h = -49.0062 + s. What is h rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -242 + 5c?\nAnswer: -1d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 86 = -16. Let x = k - -5. Solve -5*m = 4*s, 2*s - 2*m = x - 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/65295 and -67\/4?\nAnswer: 261180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v - 14. Let r be t(-8). Suppose 0 = u + 15 - r. Let z(i) be the second derivative of -i**5\/20 - 5*i**4\/12 - i**3\/3 + i**2 - 3*i. Calculate z(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2680735 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(8))\/(sqrt(4) - (sqrt(4) + -3*sqrt(196))).\nAnswer: -sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - -6*130\/(-135). Let j be (-232)\/48 - 2\/12. Put j, i, -5\/4 in descending order.\nAnswer: i, -5\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.652 + -0.348. Let i = 140.5 + -113. Let n = 28 - i. What is the third smallest value in n, -8, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {l: 6, x: 2, c: 4}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 266*k**6 + 963*k**2\/2 - 1130. Find the second derivative of a(h) wrt h.\nAnswer: 31920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12)*-21*22\/(-33)*18\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a millimeter in micrometers?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*w**3 - 99*w - 1351*w**2 + 2698*w**2 + 2 - 3 - 1346*w**2 in the form x*w**3 + t*w**2 + j*w + f and give j.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436235190 + 26*u**2 - 436235190.\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*y + y - 4499, 5*k = 3*y - 4487. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53160 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 372143 (base 8) to base 3\nAnswer: 20111201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z + 9. Let c be k(11). Let t be c\/12*3 - 1. Calculate the highest common divisor of 165 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -15.33 and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v. Let y(p) = -573*p**2. Calculate y(k(s)).\nAnswer: -5157*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 4\/7*i - 2 + 3\/7*i**4 - 8\/21*i**3 - 3\/7*i**2 - 1\/7*i**6 + 4\/35*i**5. Let t(f) = 0. What is f?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -145*p - 2604. What is k(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220382*r - 220383*r = -7 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3544375893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 6*j - 119. Suppose 4*z - 165 - j = -5*m, -5*z - 86 = -2*m. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - b + 14 = 0, 2*o + 7 = 3*b + 20. What is the third biggest value in 36, o, -2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 5*l + 5. Let o = -15 - -17. Let f(w) = 2*w**2 - w**2 + 3*w + 0*w + 1 + o. Let s(p) = -10*f(p) + 6*u(p). Find a such that s(a) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1068.7*0.297\nAnswer: -317.4039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 7. What are the prime factors of o\/45 + (-407)\/(-9)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, p: 5, v: 3}. What is prob of picking 4 o?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 19. Let x be d(-9). Let y(v) = -17*v + x*v - 10 - 6. List the prime factors of y(-6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = -3*s - 4*d, d = 4*s - 9. Suppose -v = -s*v + 20. What is the least common multiple of v and 288\/(-40)*(-1 + (-2)\/3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41\/82)\/(-2*52\/(-16))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 3 + 2\/2. Suppose -5*i + c + 22 - o = 0, -i = -5*c + 20. Suppose 5*w = 4*v + 202, i*w - v = 168 + 40. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*z - 3 - 18*z + 3 as p + x*z and give x.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 299160*v - 1495827. Give r(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422 + 104 + 109 + 104 + g + 105.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k + 4, 4*a = 5*k + 28. Suppose 4*l - a*j - 75 = -5*j, j = l - 10. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*h + 28, -2*q + 3*q - h - 3 = 0. Suppose 4*i + 5 = 9*i, 3*k - 251 = -q*i. Suppose 35 = -2*c + b, 2*b + k = -5*c - b. Is -17 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 10 = -4*i, 2*c - 8 = 2*i - 0*i. Let r be (1 - (-15)\/(-2))*-2. Is r + 0 + c + -3 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 556 - 557 = -4*i, 17*p - 2*i + 109 = -0*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 24 = 3*t + 4*s, -3*s = -3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/5262 and -97\/2899362?\nAnswer: 2899362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41991806645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*w - 1927 = -5*c, 4*w = -3*c + 1919. Suppose 0*s + 3*x = -s + 121, 5*s - 5*x - c = 0. Is -3*(-4)\/12*s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370728 is divided by 91.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 6234895\/9 and 692765 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00535391063 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12215 (base 7) to base 3\nAnswer: -11101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1612 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2 - 194. Let m be (o\/42)\/4 + 50\/126. Which is the third smallest value? (a) -5 (b) 0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7 = -2*i, 0 = 5*i - 5*k - 51 + 11. Suppose 2*z = z + 3*m + 19, i*m = 4*z - 41. Solve 4*h - 5*h + z = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007414873 rounded to five dps?\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 15.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 + -2*(30\/12 + 0). Suppose -3*x + y*q + 27 = -6*x, 0 = 5*x - 3*q + 53. Let p(d) = d + 15. Calculate p(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 169\/13) + -7 + 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 1. Let q(u) = -u - 4. Calculate -3*a(y) - q(y).\nAnswer: 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33.447 - 33.3. Let j = 0.0316 + l. What is j rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1546608 is divided by 4521?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-18))\/((-2)\/12)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -k + 23, 4*g + 20*k - 23*k = 31. Calculate the lowest common multiple of 166 and g.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 908131, 908101, 908071, 908041?\nAnswer: 908011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 o when four letters picked without replacement from oowwwwoowowo.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*g - 576, 3*h + 110 = -3*g + 542. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -111.70743 rounded to the nearest integer?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5\/3)*v*(v**(5\/4)*v*v)\/v*v*v**4*v*v\/(v**(-1)\/v) assuming v is positive.\nAnswer: v**(127\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-7)*(-2254)\/2415.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - g + 3. Suppose 4*r - 5*r - 4*t = -11, 0 = -4*t. Let x(i) = 5*i**2 + 6*i - 15. Let u(l) = r*s(l) + 2*x(l). What is u(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**4 + x**4 - 4*x**4 - 2*x)*(4 + 0 - 2).\nAnswer: 4*x**4 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.08 millilitres in litres?\nAnswer: 0.19708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -792880 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -13*a - 124. Let h be z(-12). Suppose -3*n - n = -20. Suppose 4*d = -2*c + d - 6, -4*c + n*d = -h. Solve c*m - 1 - 2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -u, -w + 74 = -2*u - 2*u. Let g be (-60)\/(-9) + 2\/(-3). What is the greatest common factor of g and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 1616 = 854. Let h = 515 + o. Let c = -37 + 97. Calculate the remainder when c is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 37*m**2 - 74*m - 139. Let i be x(-35). Let f(g) = g + 6. Let p be f(-4). Solve p = c + i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, l: 1, u: 5}. Give prob of picking 2 u.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvv when three letters picked without replacement from tvvvixvxvtvvvw?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10*(73 + 5) - 4. Let o = m - -1162. Does 55 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 44489692 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 17*h**2 - 30*h + 4. Let j be v(15). Solve -2*o = -j*o - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*r - 4. Let j be ((-10)\/(-4))\/(r\/(-2)). Solve 0 = -3*f + v + j, -v = -4*f + 2*v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 14 = 5*n, 6*k - 10*k - 16 = -4*n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-4))\/(1\/(-4)). Let k = 1 - -1. Let j = k - c. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 + 1. Let d be r(-1). Let x(q) = 17*q**3 + 2*q**2 - 2*q + 1. Let v be x(1). Let h = v - 10. Solve y + 13 = b + 2*b, -h = -b + d*y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z**2 - 11*z**2 + 28*z**2 in the form r + h*z + w*z**2 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2be8 (base 15) to base 11.\nAnswer: 7105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 15, -2*l + 6*o - 2*o + 708 = 0. Calculate the greatest common divisor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -13*y**4\/12 + y**3\/6 + 25*y. Give g(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 + 76*q**2 - 2*q**3 - 2*q**3 + 224*q**2 as z*q + d*q**2 + h + k*q**3 and give d.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-52)\/(-78))\/((-4)\/(-162)). Suppose 5*w = -0*w. Suppose -2*b + 5*m = w, 5*b = -4*m + 3*m. Solve 3*p = 5*k - h, -k + p - 6*p - 17 = b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7072*r**2 + 10057*r + 3702*r**2 + 4971*r**2 - 3662*r**2 wrt r?\nAnswer: 24166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71755625 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 7595369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13138 or 52557\/4?\nAnswer: 13138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 2*j - 2*j)*(3*j**2 - j**2 - j**2) - 2*j**5 - j**5 + 5*j**5 + 51*j**3 + j**5 - 30*j**3 + 0*j**5.\nAnswer: 2*j**5 + 21*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1000000001100 (base 2) to base 12\nAnswer: -2464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 660973\/10 or 66096?\nAnswer: 660973\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3286, 3228, 3170, 3112, 3054, 2996?\nAnswer: 2938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from pjzzjuzuzuzpzjzzp.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1514.4 and -38726485352?\nAnswer: 38726483837.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - 0.6. Let t = w + 2. What is the second smallest value in -1\/5, -0.4, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -784 = 199*a + 2*s - s, 25 = -5*a + 3*s - 31 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1862*i**2 - 5*i + 1805. Let j(w) = 5584*w**2 - 16*w + 5412. Let a(v) = 5*j(v) - 16*u(v). Differentiate a(p) wrt p.\nAnswer: -3744*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m - 1. Let h(c) = 6*c + 46. Let z(i) = -9. Let l(o) = h(o) + 5*z(o). Determine -4*b(y) - 5*l(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-14))\/((-5)\/(-35)). Suppose 4*y = -5*q + 4476, -2*y - w*q + 2238 = 2*q. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1538 + 1542. Put 2\/11, -2\/9, i, 3 in descending order.\nAnswer: i, 3, 2\/11, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -64302 and 0.14.\nAnswer: -64301.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = -5*p + 2*u, 2*p - 33*u - 23 = -26*u. Solve -156 = -p*h + 17*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v - 1. Let f be i(-1). Suppose f*y = 8*y. Is 1 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28476, 63437, 104882, 152817, 207248, 268181, 335622?\n\"Answer: v**3 + 3236*v**2 + 25246*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2653 and 2653.\nAnswer: 2653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-2387)\/93))\/(12\/352)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 + -0.11. What is the third biggest value in z, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1080 and 167670.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 11:24 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 208, 207, 204, 199, 192, 183, 172?\n\"Answer: -h**2 + 2*h + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 449*d*r**5 + 2*d*r**4 + 2*d*r - 24*r**2 + 18 wrt r.\nAnswer: 26940*d*r**2 + 48*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -278, -1231, -2830, -5063, -7918, -11383, -15446, -20095?\n\"Answer: 2*o**3 - 335*o**2 + 38*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-209)\/165*15\/(-6))*-14 + 5?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2874692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 12.1. Sort -1.3, o, -3.\nAnswer: -3, -1.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 12*k**2 - 17957*k - 635364. Give z(1531).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-387)\/3354*4*(-3)\/18?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2128 divided by 532\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**5 - 3*v**4 + 2*v**3 + 12*v**2 + 8*v = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 7, 1\/26, 2, 26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**5\/30 - z**4\/24 + 43*z**3\/6 - 11*z**2. Is 47 a factor of i(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/3, 3, -1\/50, 2\/5, 1032?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21611 - 22098.15. Let w = q + 477. Round w to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsr when three letters picked without replacement from {s: 2, r: 1, c: 1, t: 2, q: 2, x: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*c + 1 + 37*c - 31*c + 18*c + 48*c + 25*c.\nAnswer: 51*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 34. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 1\/20*m**5 + 0*m**3 + 0 + 0*m**4 + 0*m - 3*m**2. Factor z(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -365000 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7047 is divided by 196?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55234109 and 4.\nAnswer: 220936436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4741601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*o - 90 = -155*o - 64*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2223 and 1948635?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phph when four letters picked without replacement from {p: 3, h: 7}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 152*k**2 - 3785*k + 1540943?\nAnswer: 304*k - 3785","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*u + 17, -2*y - 2 = -u - 0*y. Suppose 0 = -3*b + 12, -2*z - u*b = -z + 73. Which is greater: z or -90?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-87)\/(-60) - 36\/30)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (7 - (6 + -1)) - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 26*p + 28. Let w be n(7). Suppose 0 = -w*k + 211*k - 1. What are the prime factors of (((-4)\/(-1))\/(-8))\/(k\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 7*a**2 + 9*a - 3. Let y be x(8). Let h be (-12)\/(80\/15 - 5). Let v be (-446)\/(-18) - 8\/h. What is the highest common divisor of y and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -84*p**2. Let d(m) = -4*m. Determine j(d(b)).\nAnswer: -1344*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 434 and 22258?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) + -2*sqrt(99) - sqrt(99))*-2)\/((sqrt(54)*-2)\/sqrt(6)) + -1 - ((sqrt(11)*1*-5 - (sqrt(539) - (0 + sqrt(539)))) + -1))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 170 = 3*g, -2*g - 3*b = -74 - 22. Let n = 30 + g. Let l = n + -51. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*m + 6 + 8, m - 20 = -s. Calculate the remainder when 86 is divided by (-6)\/(-33) - (-480)\/s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2 + 11*o + 1. Let z(s) = -10*s**2 + 33*s + 3. Let k(b) = 3*h(b) - z(b). Let a(u) = 15*u**2 + 0 + 0. Determine k(a(q)).\nAnswer: -450*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28558 + 3*p + 0*p - 2*p + 14275 + 14278.\nAnswer: p - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 461555 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1072*v**3 + 98*v**2 - 1 wrt v.\nAnswer: 6432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32620715.\nAnswer: 5, 373, 17491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -38*d**3 + 13*d**2 + 17*d + 13. Let u(a) = -19*a**3 + 6*a**2 + 8*a + 6. Give -6*o(b) + 13*u(b).\nAnswer: -19*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*f = -10, -5*x + f = -9 - 3. Solve -x*r = 4*b + 10, -b - 5 = 2*b - r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 18*c - 6*c. Let b(o) = -c*o + 55 - 24 - 31. Let y(r) = 6*r**2. Calculate b(y(x)).\nAnswer: -78*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (5\/2)\/(-5). Let q be (-1 - 1)*7\/(-35). Which is the third smallest value? (a) -0.3 (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 y when four letters picked without replacement from {t: 2, y: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2) + -2) + (sqrt(50)*3)**2 - (sqrt(384)*-1 + sqrt(384))\/(-4*sqrt(48)).\nAnswer: 2*sqrt(2) + 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 1 + 0*c**4 + 0*c**2 + 1\/3*c**3 - 1\/1620*c**6 + 0*c + 0*c**5. Let x(z) be the third derivative of k(z). Factor x(n).\nAnswer: -2*n**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqwwwwfffwwww. Give prob of picking 1 f, 2 w, and 1 q.\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64450*s**2 + 975*s + 9?\nAnswer: -128900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 260305\/55 - -8 - (-4)\/22 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = 4*b - 2*q, -4*q - 260 = -4*b - 3*q. Let o(k) = -k**3 + 3*k - 1. Let j be o(2). Is b + (j + 1)*-1 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.3. Let s = -2.66 - -2.26. Is r at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*i**3*x**2 - 56*i**3*x - i**3 + 4*i*x**2 + 8082 with respect to x.\nAnswer: -30*i**3*x - 56*i**3 + 8*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5075 and 1084950?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -4*u + 72. Let n = u - 126. List the prime factors of 2\/(-8) + n\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/6 - 2\/3 - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*j - 2. Suppose -2*g = f + 2, 0*f + 2*f - j*g = 5. Suppose f = -5*k + 3*v + 295, 0 = k - 2*k - 3*v + 41. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 52287122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 13. Let h(k) = 5*k**3 - 3*k**2 + 2. Let s be h(i). Let q = -14 - -25. What is the highest common divisor of s and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (24\/5)\/((-33)\/(-220))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1257225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024149053 to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 5135276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3001344 (base 7) to base 11\nAnswer: 221626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 445417 (base 11) to base 15\nAnswer: e0535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13114\/(-14) - (-2)\/(-7). Let t = -6265\/69 + -465241\/552. Let s = t - w. Find the common denominator of s and -16\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1\/9542, 1\/6, 1863\/26 in descending order.\nAnswer: 1863\/26, 0.4, 1\/6, -1\/9542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Let g be 31 - (-1 + 1) - r. Let h = g - 19. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iidi when four letters picked without replacement from udddddddiuiiuuid.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -6. Let y = -2 + a. Put 5, 1, y in ascending order.\nAnswer: y, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3124103777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j - 39954 + 1846507. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**4\/12 - 2*g**3\/3 + 41*g**2\/2 + 82*g. Let p be a(-8). Solve -s = -p + 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**3 - 80*m**2 + 183*m - 7287. Let d be a(40). Factor -3\/2*y**4 + 12*y**3 + 36*y - d*y**2 - 27\/2.\nAnswer: -3*(y - 3)**2*(y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - (sqrt(190) + sqrt(190)*1*-1))\/(sqrt(810)*-2) - ((-3*sqrt(133) + sqrt(133))\/sqrt(7) + (-1*sqrt(1216))**2).\nAnswer: -1216 + 35*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3\/7 - 60*x**2\/7 - 363*x\/7 - 300\/7 = 0. What is x?\nAnswer: -4, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(1 + 4\/(-2)). Suppose 3*x = j + 111. Calculate the greatest common factor of 19 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f - 5301*f**2 - 5311*f**2 + 10568*f**2 to t*f**2 + h*f + g and give t.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110 + 2203?\nAnswer: 2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 145*i - 28957*i**4 - 140*i - 2*i**3 - 4 + 28929*i**4 in the form c*i**2 + v*i + m + p*i**3 + y*i**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -28968 + 26804*b + 28968 in the form m*b + g and give m.\nAnswer: 26804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = -4*d - 3. Let m = d - -53. Let z be (-2)\/(-6)*(-3 - m)*-3. Solve -r + z*k - 2 = 2*r, -k + 1 = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20382507 + 5*b**2 - 20382507.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**3\/3 + 2*m**2 - m + 2. Let d be n(3). Is 9 a factor of 3\/d*(16 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19875)\/(-5565)*((-609)\/18)\/29.\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -766, -1507, -2248, -2989?\n\"Answer: -741*v - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 9) in base 14?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 + 7*k + 8. Let f(a) be the first derivative of 2*a**3\/3 - 4*a**2 - 9*a - 442. Suppose 2*t - 4*t - 12 = 0. Determine t*l(w) - 5*f(w).\nAnswer: 2*w**2 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -2\/5, 7, -120357?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -895405, -895412, -895417, -895420, -895421, -895420?\n\"Answer: p**2 - 10*p - 895396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/14 and 2*579\/(-216) + 4.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g - g)*(-6 + 0 - 3)*(0 - 2 + 0)*(-4*g - 3*g + 1 + 6*g).\nAnswer: -36*g**2 + 36*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-284)\/994)\/((-20)\/21).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800270092 smaller than 2800270092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3027 and 717?\nAnswer: 723453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146520?\nAnswer: 2, 3, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.157477158490501 less than -5?\nAnswer: -5.157477158490501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 4676064.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (531\/(-1239))\/(1*(-3)\/3)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 44*v**2 + 5584*v + 148656 = 0.\nAnswer: -978\/11, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8452*m**5 + 2*m**4 - 23*m**3 + m + 48768304 wrt m?\nAnswer: 169040*m**3 + 24*m**2 - 138*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 666781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3330592 divided by 8584.\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1703*g + 513. What is the thousands digit of d(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9702, 19405, 29108, 38811?\n\"Answer: 9703*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 185, 417, 749, 1187, 1737, 2405?\nAnswer: 3197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -m - 0*m + 2*n, -m - 5*n = 18. Let z(h) = -4*h + 4. Let c(y) = 8*y - 6. Let d(i) = 3*c(i) + 5*z(i). Let b be d(m). Solve -r - b = 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Let u = -157\/6 - -26. What is the biggest value in 2, u, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*x - 6\/7*x**2 + 3\/7*x**4 - 3\/7*x**3 + 0 = 0. Calculate x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/4)\/(4\/(-8)). Let q be -4 + (h - 140\/25). Let g(d) = 2*d**3 + 48*d**2 - 51*d - 32. Let v be g(-25). Is v bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1298431 and -0.96.\nAnswer: 1246493.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + -2 + sqrt(17) + (2 + sqrt(425))**2 - (sqrt(204) - 1*sqrt(204)*-2)\/(sqrt(12) + (2*sqrt(768) - sqrt(768)))) + 0.\nAnswer: 248*sqrt(17)\/3 + 1692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.038?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1815 and 957.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 6*p**2 + 5*p + 8. Let f be o(-7). Let x(l) = l**2 + 3*l - 11. What is the hundreds digit of x(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**4\/24 + f**3\/2 + f**2. Let w(p) = p - 15. Let s be w(11). Let z(i) = -2*i + 4. Give s*z(d) + 5*x(d).\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 5*j**2 - 5*j - 9. What is the remainder when 93 is divided by d(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802029 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*b + 38 + 16 = 122*b. Solve -11 = 7*d + 3*f + 9, 4*d - f + b = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1607493*a**5 - 29*a**4 - 3*a**2 + 2*a - 5287523 wrt a.\nAnswer: -96449580*a**2 - 696*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 10)\/(1\/(-47)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 16) in base 14?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49352 - 34352. Round i to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -178.2 and 46.\nAnswer: -8197.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8084, -32231, -72460, -128771, -201164?\nAnswer: -289639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 - 103*p**3 + 4*p**2.\nAnswer: -103*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -362*m**3 + m**2 - m + 327. Calculate u(0).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**3*y**3 - 18*w**3*y + 3*w**2*y**3 - 7*w + 5*y**3 wrt w?\nAnswer: -12*w*y**3 - 108*w*y + 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 385068.8 millennia?\nAnswer: 38506880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164, -310, -456, -602?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3163724 and 4.\nAnswer: 12654896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, y: 4, k: 2, t: 2, x: 1, z: 2}. What is prob of sequence ykky?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 + 5*q**2 - 83*q + 3. Let y = -499 + 505. Let r(c) = c**3 - c**2 + 1. Let o(s) = y*r(s) - 2*f(s). What is the second derivative of o(d) wrt d?\nAnswer: 12*d - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + (sqrt(136) - (sqrt(136) + sqrt(136)*-2)*-4))\/((sqrt(112)\/sqrt(7))\/sqrt(2)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001111100001111 (base 2) in base 9?\nAnswer: -121722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 + 0.04999991. What is i rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 c when four letters picked without replacement from {x: 1, l: 2, t: 1, c: 7, z: 4}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/60 - 14\/35)*-27914. What is t rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 - 98 - (-16 - -2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c8995c + -14?\nAnswer: c89948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6162345?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u - 2*h + 22, 21 = -u + 5*h. Suppose -7 = -u*i - 23. Let v be (-93)\/105 - (-4)\/14. Which is the nearest to 1? (a) i (b) v (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5*(-195)\/(-25))\/((-6)\/14). What is the greatest common divisor of g and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 10*k**2 + 1\/12*k**4 + 0*k**3 - 1\/10*k**5 + 27\/14*k**7 + 0*k**6 + 0 - 41*k. What is the third derivative of l(w) wrt w?\nAnswer: 4860*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/6 + -41\/30. Which is the biggest value? (a) -2\/7 (b) -2 (c) l (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37994*l**2 - 39596*l + 1602.\nAnswer: 2*(l - 1)*(18997*l - 801)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237790, -475537, -713190, -950701, -1188022, -1425105?\nAnswer: -1661902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, p: 6, d: 5, i: 5}. What is prob of sequence dp?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by 68.\nAnswer: -21\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -49823340 - 1?\nAnswer: -49823341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 - 22*j - 6. Let f be h(-11). Let g(z) = -z**2 - 5*z + 12. Let l be g(f). Let y be (4 + 2)*l*1. Solve -11 = 5*m - y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in -0.4, 2, -0.2, -0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 518014 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1312 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 2 + 736*o**3 - 3*o**2 - 287*o + 414*o**3.\nAnswer: 1150*o**3 - 7*o**2 - 287*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from grhghhhgrhghrghh?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, 2\/15, -4\/5, -4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 2*w**2 - 2*w - 1. Let l be y(-2). Suppose -n - l*n + 24 = 0. What is the third derivative of -3*p**2 + p**6 - 3*p**n + 4*p**2 wrt p?\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 + 0*m**2 + 0*m**2)*(35 - 3 + 3).\nAnswer: 140*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3144, -7014, -10884?\nAnswer: -14754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 177740000 rounded to the nearest 1000000?\nAnswer: 178000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82639?\nAnswer: 23, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 287263811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/16 and 37\/344?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 10:42 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 266?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*v - v + 3, -20 = 4*v. Calculate the remainder when (69 - n)\/(7\/7) is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 73.6?\nAnswer: 4.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + b = 9, 4*h + 8 = b - 11. Let z be (-1 - 6\/h)\/1. Let l(o) = 3*o + 8. Let v be l(-3). Which is greater: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 1 - (-115485)\/(-24). Let m = y - -4821. Let a = 15433 - 216165\/14. What is the common denominator of m and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 3516. What are the prime factors of z?\nAnswer: 3, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947697081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5332 is divided by 80.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 11 = 5. Suppose -37 - 15 = -d*f. Solve h + 4*c = -2*h + f, -14 = 2*h - 3*c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.24 (b) -0.15 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -8.3. Let m = d - -0.21. Let x = m + -0.01. Sort 1\/2, x, 2.\nAnswer: x, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1135.406368 less than -595?\nAnswer: 540.406368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 0.5, 1\/4, -0.29?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17 + 438*l**3 - 502*l**2 - 1540*l**3 + 21 - 38 wrt l.\nAnswer: -6612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698857 is divided by 433?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.935466 to 0 decimal places.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 2801, -3 in decreasing order.\nAnswer: 2801, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3542 - -38967\/11. What is the closest to 0.01 in -0.4, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 340 and 0.2.\nAnswer: 340.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -435 - -925\/2. Let d be (-115)\/35 - (-2)\/7. Calculate the common denominator of i and (15\/(-10))\/(d*3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*n - 178*n + 346*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65.47*0.4.\nAnswer: -26.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.0285\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-5)\/(-10) + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(2\/1)*(-16)\/(-440).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*22\/(-3960)*8*4\/(-1)?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1964*z - 20. Let x be y(4). Suppose x = 3*m + 279. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 27 - 19 + 65 - 202*w to p*w + j and give p.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60514*k - 117539*k + 61656*k to l*k + y and give l.\nAnswer: 4631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9399 in -12, 29, -0.2, 2\/15?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -151, -3\/8, 5, 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i + 0*i**5 + 0*i**2 + 0*i**4 + 0 - 1\/10*i**6 + 1\/3*i**3. Find the second derivative of m(g) wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 971*w - 426*w - 106*w**3 - 331*w + 104*w**3.\nAnswer: -2*w**3 + 214*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*a*c*o**2 + 2*a*c*o + 50*a*o**2 - 3*c*o**2 + 2*o**2 + 11*o + 346 wrt o.\nAnswer: -12*a*c + 100*a - 6*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/10 + -34*17\/(-170).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91.8 + 92. Let w = 26.944 - -0.056. Do z and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -85 + 15007*k**3 + 8*k**4 + 3*k**2 - 14996*k**3 + 83 in the form f*k**2 + y + l*k**3 + u*k**4 + v*k and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(-3*sqrt(6)) + 5*sqrt(152)\/sqrt(8))*-1*2.\nAnswer: -28*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2822, 35, -2, 10, 2.\nAnswer: -2822, -2, 2, 10, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -3\/82219 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 9:57 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxx. What is prob of sequence xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 12*i + 7*i + 10, 2*k = 4*i - 8. Suppose 4*f - 34 = 46. Suppose -j = -4*j + 15. Solve k*p + 3*w = j*p + f, 4*p + w - 1 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9137625 to the power of 1\/2, to the nearest integer?\nAnswer: 3023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 184207663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1138354?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(12)*-4 - sqrt(12)) - (sqrt(7) - (sqrt(252) + 0)**2)) + sqrt(42)\/((sqrt(6) - 1*sqrt(96)) + sqrt(6) - sqrt(6)) + 3.\nAnswer: -23*sqrt(7)\/15 + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 247*a**2 - 5*a - 1. Let p(w) = 2*w**2. Calculate q(p(g)).\nAnswer: 988*g**4 - 10*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/7)*b*b)\/((b**(-3)\/b)\/b))**16\/((b*b**0)**9\/(b**0*b*b**(-3\/7)*b)) assuming b is positive.\nAnswer: b**(780\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (8 - 0) + -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6000008 + 0.6. Round z to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -997 - -9973\/10. Sort v, 4, -5.\nAnswer: -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4050 + -3996. What is the remainder when 211 is divided by v?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 3096 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50 + 47 + 58 + 11 - 35 - 170*p with respect to p.\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 5:40 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*o = 15, -17 + 2 = -5*a - 4*o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 1 + 14*a**2 - 2*a**3 - 13*a**2 + 9*a - 5*a**2. List the prime factors of d(-5).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7645669 + 6\nAnswer: -7645663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -163 - -177. Calculate the highest common divisor of c and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35593.18858 - 3.\nAnswer: 35590.18858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 6) to base 11.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88.4 - 90.4. Let i be ((-6)\/27)\/(2\/(-3)). Which is the nearest to i? (a) 3 (b) 6\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -9*y + 4*y + 998*a - 994*a, 4*a - 6 = y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 16195 and -2902.2608.\nAnswer: 13292.7392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 14 = 3*y - 3, -5*y = -3*l + 13. Which is the third smallest value? (a) 0.5 (b) l (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpzz when four letters picked without replacement from {h: 9, a: 2, z: 3, p: 2}?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45589517209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 14) + 52 + -35 + 19.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2 + 2. Let z(l) = 77*l. What is z(s(j))?\nAnswer: 308*j**2 + 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 17 - 33*v + 82*v - 37*v in the form f + a*v and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 7. Suppose -100 = -2*t - o*t. Let s be ((-10)\/4)\/(-5)*t. What is the greatest common factor of s and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*143\/78)\/(24\/((-3168)\/(-22)))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4513 - 1769 = 28*o. Suppose -2*g = 2*l - 24, -2*g - 5*l + 20 = -l. What is the greatest common factor of g and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4504571 is divided by 1563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4163556029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -106*i**7\/7 - i**5\/5 - 299*i**3 - 564. What is the third derivative of w(z) wrt z?\nAnswer: -12720*z**3 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 3:09 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 5*i - 5. Let n be f(5). Suppose 50 = 19*t + 49*t - 86. What is the smallest value in 3, -0.2, t, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 10*u**2 - 259826*u - 103932 = 0.\nAnswer: -2\/5, 25983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6967517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 126\/7 + -2 + 4. Calculate the greatest common divisor of r and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 29*a + 24. Let g = -40 - -30. Let h be (45\/150)\/((-2)\/g). Put h, 1.7, a in descending order.\nAnswer: 1.7, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1*(-2)\/(-12)). Let y be 36\/(-27)*1*3. Let o = z + y. Calculate the greatest common divisor of o and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1 + -1 + (sqrt(20)\/sqrt(490) - sqrt(2)))**2.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (15693472\/48 - 23) + 4\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -188*l + 170*l - 162. Put -1\/20, -1\/6, l in ascending order.\nAnswer: l, -1\/6, -1\/20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + -1 + -2 + (sqrt(75) - 5*(-1 + sqrt(75))) + ((sqrt(75) - (sqrt(75) + 0))*-4 - sqrt(75)) + (sqrt(75) + 0)*1 + sqrt(75))**2.\nAnswer: -40*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -28695502.\nAnswer: -28695502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 31 = -23. Suppose -3*o - b = -9. Which is bigger: o or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1403107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 1188.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-1 + 1\/(2\/22)). Let z(j) = j + 12. Let s be z(n). Let v(q) = 7*q**2 - q + 2. What are the prime factors of v(s)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 + 389\/5. Suppose 3*y = -5*m + 2*m - 3, -y + 5*m = 19. What is the second smallest value in -2\/9, f, y?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5352\/40 - (-1)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188015?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3207*n = 3206*n + 10*g - 241, -8*g = -2*n - 194 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -88062 (base 14) to base 10\nAnswer: -329366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/24 - (-25)\/140*1\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - -2*sqrt(170)*-1 - sqrt(170))*-3)\/(3*(sqrt(10) + -2*(sqrt(20)\/sqrt(2) + sqrt(10))))*-4.\nAnswer: 8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + -2)*3.\nAnswer: -6 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -7 - 6 - -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.412 - 0.312. Let d = t - 24.10008. What is d rounded to 6 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 295215657?\nAnswer: 295215658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 44\/135 (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172617 is divided by 1412?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2256888 and 768?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66174505 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from perppegierrgn. What is prob of picking 2 e and 1 r?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 4 (c) 0 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.406 - 0.306. Let z(g) = g**3 - 15*g**2 - g + 13. Let c be z(15). Let p be 87\/(-27) + (1 - c). Sort d, -5, p in decreasing order.\nAnswer: d, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -64307, -11, 1 in increasing order.\nAnswer: -64307, -11, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 18*f**2 + 8*f + 20. Let u be j(-6). Suppose -3*d = -u + 83. List the prime factors of d.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9528?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*s**3 - 10 + 9 - 89*s + 3 - 6 - 2 - s**2 to the form k + h*s**2 + g*s + t*s**3 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/((-5)\/(30\/(-9))). Suppose 0 = -4*g - q + x, -2*q = -4 + 12. Solve 0 = -2*o + 10, -g*j + 5*o - 2 = 3*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 9*l + 10*l + 8, -3*l = 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.254 - 0.046. Which is the closest to -2? (a) -0.2 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-35)*0 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) + (-2 - 11\/4). What is the second smallest value in 5, -2\/15, h?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 take away 61.81?\nAnswer: 75.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7401*z**2 + 131*z**4 + 630*z**3 + 69*z**5 - 629*z**3 - 72*z**5 wrt z?\nAnswer: -180*z**2 + 3144*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 3*o**2 + 5*o - 5. Let m be k(3). Is 19 a factor of (-24)\/(-10) + -2 - (-266)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 - (3 - 2))*4\/(-14). Let y be 4\/(-15)*252\/8. Let m = 38\/5 + y. Which is bigger: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-300) + 4\/(-6)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 17061 = -3*p, -3*p - 2*l = 2*l - 17061. Let b be (-2)\/5 + p\/55. Suppose 39 - b = -4*n. Solve 2*x - 4*w + n = 0, 2*x + 4*w = 6*x + 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 + -106. Let v = -25 + 48. Calculate the remainder when i is divided by v\/3 - 6\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1120312 and -27\/40.\nAnswer: 5601560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, w: 1, d: 1, n: 1, r: 1}. Give prob of picking 4 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43681 and 246202?\nAnswer: 2708222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35993717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 37. What is y(-40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 956.0341kg?\nAnswer: 956034100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1258 - -1257. Suppose 0 = -2*w - 2*s + 10, -17 - 19 = -4*w + 4*s. Put d, w, -5 in descending order.\nAnswer: w, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 12:35 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (3 - (-8 - -25))) + -45 + 15.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (3 - 4) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c**2 + 13*c**2 + 15*c**2 - 24*c**2.\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -665.4 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2 + c + 8*c - 13*c - 4 - 5*c**2. Calculate q(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -9 - -8) + -12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**4\/24 + z**3\/6 - z**2 + 1015. Let j(b) = -24*b + 15. Give -3*j(y) + 45*u(y).\nAnswer: 27*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 5*o**4\/6 - o. Let v be -5*2\/(-10)*0. Let g(t) = 5*t**2 + v*t**2 - 3*t**2 - 5*t**2. What is g(r(y))?\nAnswer: -300*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2055050, -2055053, -2055056?\nAnswer: -2055059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 76070021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582*s - 2854 - 240 = -2*z, -2*s + 2*z + 6 = 3*s + 165 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162 - -170) + ((-2)\/6)\/(1\/16)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7003358566.\nAnswer: 2, 3501679283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2122147 and 526.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 58.6618389 minutes?\nAnswer: 0.005819626875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -14. Let q = 8 + -14. Let x = q + w. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 9:21 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a minute in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-556))\/((-10)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 16993883 - -58\nAnswer: 16993941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 10. What are the prime factors of (s\/(-45))\/(5\/((-330)\/4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82\/(-56) - ((-24)\/(-7))\/12?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/52 - -113\/156. Let o = 20 + -9. Let u = 10.5 - o. What is the nearest to u in -0.2, -5, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 9, -3*i + 75 = 4*k - 6*k. Calculate the remainder when 83 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -63. Let b be (578\/z)\/(13\/(78\/4)). Let d(i) = 3*i**2 - b + 289 - i**2. Let p(r) = 4*r**2 + 10*r. Give p(d(g)).\nAnswer: 16*g**4 + 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 6 = 2*l, -l = 4*x - 6 - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3407111683.\nAnswer: 3407111683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m - 2. Let v(g) = -1. Suppose y + 4 = -u, -u + 2 = -y - 4*y. Let z(t) = y*r(t) + 3*v(t). Determine z(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5627681730 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158147131.\nAnswer: 127, 997, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from echccchh. Give prob of sequence hh.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**6\/60 - 41*w**5\/30 - 155*w**4\/6 - 2*w**2 + 5158*w - 1. Suppose a(c) = 0. What is c?\nAnswer: -31, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 3 = 3*o - 3*a, 4*o + 4*a = -4. Solve o*i + 3\/4 - 3\/4*i**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 11. Let q be (1 + (-6)\/(-9))*-6. Let y be t(q). What are the prime factors of 4\/y + 35 + 3?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -9, -5, 2 in descending order.\nAnswer: 2, -5, -9, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 - 0.9. Let m = q - -8.6. Let b = m + -8.5. What is the second biggest value in 2\/7, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*c + 50*c - 234. Let p(h) = -6*h**3 - 9. Let w(v) = 1. Determine c*w(k) - 2*p(k).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110 + 110. Suppose -5*t + 2 = q - 5, 4*t + q = 5. Suppose c = 2*a + 2*j - 16, -3*a + t*a + 2*j = -8. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -483 = 15*p - 663. Suppose -x + 4*s = -34, -4*x + 74 + 62 = 4*s. Let z = x + p. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(21\/35)*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 909, 1910, 3057, 4350, 5789?\n\"Answer: 73*h**2 + 782*h + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69675 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h + 12*h**3 - 6*h**3 + h + 2*h**4 + 3*h**2 - 5*h**3 as n*h**4 + x + o*h**3 + p*h**2 + r*h and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 737376963?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(13\/6)*t)\/t*t*t**(-6\/5))\/((t\/t**(-1\/9))\/t*t)**(2\/23) assuming t is positive.\nAnswer: t**(3871\/2070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 - 35*g + 36. Let k be t(17). Suppose -615 = -k*w + 753. Calculate the remainder when w is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -1846.\nAnswer: 9230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 172\/7 - 351\/14. What is the third smallest value in j, -17, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15126975 and 9675?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/(315\/3150)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**7\/280 - f**5\/40 - f**3\/6 + f**2. Let m(i) be the first derivative of v(i). Find the second derivative of m(p) wrt p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/23 in -4, -0.08, -2\/7, 0.26152, -1\/7, -1\/3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*a + 954 = 558*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*(sqrt(1275) - (sqrt(1275) - 2*sqrt(1275))))\/(sqrt(972)*-3*5).\nAnswer: 20*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + -5 + (sqrt(99)*1*-5 + 0 + -3)**2) + -4.\nAnswer: -2484 - 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -317 or 0.547796?\nAnswer: -317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**2\/2 + 23*s + 1. Suppose 550 - 533 = -2*v - 3*o, -5*v = -o + 51. Determine l(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 1 + 25. Let b = 31 - u. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.06, -5, 4, 1 in descending order.\nAnswer: 4, 1, -0.06, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 - (26 - 12 - 14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*v**4\/3 - 20664*v**3 - 9821288*v**2\/3 - 1865664*v - 798848\/3.\nAnswer: -2*(v + 316)**2*(7*v + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 414605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -245, -490, -739, -992, -1249, -1510?\nAnswer: -1775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19281195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.87 and 5082.7?\nAnswer: -19670.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75333*l**4*r**3 + l**2 - 4026*l*r**3 wrt l.\nAnswer: 1807992*l*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i - 3. Let n(o) = -3*o + 20. Calculate m(n(p)).\nAnswer: -18*p + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 6*p - 3. Let d be r(5). Let f be (0\/1 - 0)\/(3\/(-1)). Solve 0 = d*i - f - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -2231203?\nAnswer: 2231201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -74893500 divided by -2202750\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*l - 4, -19 = 4*l - 3*v + 1. What is the nearest to 2 in 23, 3\/4, l?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1789, -1791, -1793, -1795, -1797?\n\"Answer: -2*q - 1787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 315, 731, 1413, 2355, 3551, 4995, 6681?\n\"Answer: -t**3 + 139*t**2 + 6*t + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 323626*a**4 + a**3 - 280421*a**2?\nAnswer: 7767024*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2873 + 2869. Let f(o) = -2*o**3 + 5*o**2 - 7*o + 7. Let h be 2*(-7)\/(-6)*-3. Let s(m) = m**3 - 3*m**2 + 4*m - 4. Determine h*s(c) + p*f(c).\nAnswer: c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 108\/(-45) - 4\/(-10). Let o = -9\/4 - z. What is the biggest value in o, 0, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 6 = -9. Let i = -3 - p. Suppose i*g - 44 = -0*g. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4263779199.\nAnswer: 3, 1421259733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 55 + (-197 - (-49 - 32))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -84*m. Let z(i) = -2*i**2. Determine d(z(j)).\nAnswer: 168*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**3 - 29*s**2 + 12*s - 11. Let u be i(6). Let p be 14\/u - 1330260\/(-85). What is p rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15109719284 + 15109543318.59809. Let m = -175979 - t. Let n = m - -13.6. What is n rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 1de6e?\nAnswer: -1de71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9509247 divided by -4\nAnswer: 9509247\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19241\/76 or 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -139 - -117. Let n be (-3504)\/22176 + (-4)\/t. Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -1)\/(4\/(-68)). Calculate the greatest common factor of d and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -11*o**3\/2 + 25*o + 1. Let j(m) = -2*m + 1. Let z(g) = 9*g - 6. Let r(t) = 6*j(t) + z(t). What is r(l(i))?\nAnswer: 99*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(313*c - 155*c - 160*c + 47).\nAnswer: 4*c - 94","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -10\/1749 (c) 0.13 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*r = -3*q + 2, -3*r = -3*q + 18. Suppose 5*a + m + 3*m = 0, 0 = -3*a - q*m. Let w be 0\/(2 - a)*1. Which is smaller: w or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = w + 2*g, -5*g = -0 + 5. Let h be (2 - -1) + w - 2. Solve -3*v + 1 + 14 = h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from rjsssrjsjpssp?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a = 2*k + 8, 0 = 2*k + 5*a + 8. Let f be (3\/9)\/(k\/(-36)). Solve -f = 2*d + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*i - 4. What is the lowest common multiple of 8\/(-12)*-9*i and 2\/(-5*(-3)\/75)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h + 9. Let j be z(-4). Let f = -32 + j. Calculate the greatest common divisor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 24 = -8*v, -390*w + 12 = -391*w + 4*v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - q + 53 = 0, -4*b - 46 = 4*q + 46. Let d(o) = 3*o + 73. Let y be d(b). Suppose 8 = 2*h + 2*h. Calculate the greatest common divisor of h and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -16. Let r(a) = 16*a + a**3 - 14*a**2 - 115 + 99 + a. Calculate the lowest common multiple of r(13) and q.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 1\/3726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 3*y**2 + 4*y**2 - y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184095 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -4\/7, -17, -19972 in increasing order.\nAnswer: -19972, -17, -4, -4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39740 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13911, -27345, -40781, -54219, -67659, -81101?\n\"Answer: -x**2 - 13431*x - 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 10*x + 4*p - 51 = 0, 4*x + 4*p + 40 = 0. Let r = x - 4. Round r to zero decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 435\/300 + (-1)\/(-4) and 29\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2213 - -2052?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 + 45*l**2 - 21*l + 49. Let q be u(-23). Solve 32 - 23 = q*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 5*d - 6. Let h be a(6). Suppose -19 - 12 = -k - 4*j, h = k + 5*j. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56949649 to the nearest integer?\nAnswer: 7546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1365*s**2. Let n(z) = -5*z**2 - 3*z + 9. Let o(f) = 6*f**2 + 4*f - 12. Let t(a) = -4*n(a) - 3*o(a). Calculate v(t(u)).\nAnswer: 5460*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 154, 255, 358, 463, 570, 679?\nAnswer: 790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.45 and -43163150285.\nAnswer: -43163150285.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*k**3 + 2*b**3*k - 3948*b*k**3 - 636*k**2 - 5*k wrt k?\nAnswer: 12*b**3 - 23688*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3 + sqrt(1331))*-5*-3)**2*-1.\nAnswer: -301500 - 14850*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 1. Let l(v) = 2*v**3 - 5*v**2 + 3*v + 3. Let p(s) = 4*s**3 - 10*s**2 + 5*s + 7. Let k(n) = -5*l(n) + 3*p(n). Calculate -5*h(i) + k(i).\nAnswer: 2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6592009 (base 10) to base 12.\nAnswer: -225a9a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 0*k = -3*k - 12, 3*k = 2*u + 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12180826?\nAnswer: 2, 7, 870059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -84, -153, -222, -291, -360, -429?\n\"Answer: -69*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n - 9. Give w(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1204 + 233122?\nAnswer: 231413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 70400 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 6, -3\/26?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22692 times 0.3645\nAnswer: 8271.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.84 + -0.16. Suppose 5*x + 3*i - i + 39 = 0, 2*x = -5*i - 3. Let l be (x\/(-15))\/((-21)\/14). What is the smallest value in l, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17734 - -1312. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*j + 4, -2*j - 6*v = -2*v + 8. Suppose 0 = j*z - 4*z + 6. What is the tens digit of 17 - z\/(-6)*-8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 4, -8 in descending order.\nAnswer: 36, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 11 = 3*o, 3*y + 2*y = -2*o + 1. Let l = -10 - -6. Let m be y - ((-18)\/l)\/(-3). Which is the smallest value? (a) 1\/4 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.602 - 4.55706. What is v rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4143.27 + -0.4.\nAnswer: 4142.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 13*h**2 + 31*h + 1. Let w be p(10). Let q(m) be the second derivative of -m**5\/20 + m**4 - 5*m**3\/6 - 9*m**2\/2 + 4*m. Is 19 a factor of q(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120684047 divided by 296521.\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2065741, 2065740, 2065729, 2065702, 2065653, 2065576?\n\"Answer: -d**3 + d**2 + 3*d + 2065738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -45, -39, 3, 93, 243, 465?\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450*t**2 - 455*t**2 + 1390*t**2 - 441*t**2.\nAnswer: 44*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 1 - 1. Let b be 16\/10 - 4\/(-10). Let c(g) = -g - g**b + g. Give q(c(r)).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49.016 - 0.016. Let i = l + -50.975. Let k = i - -0.025. What is k rounded to one dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 123*q**4 - 125*q**4 + 6*q + 19*q + 2*q**2 + q**4 - 2*q**2 - q**3 + q**4 + q**3 + (2*q - 2 + 2)*(-2*q**3 + 2*q**3 - 2*q**3).\nAnswer: -4*q**4 + 25*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + sqrt(175)*1 + sqrt(175) - sqrt(175)) + (sqrt(175) + -1 + sqrt(175) + sqrt(175))*4.\nAnswer: -9 + 65*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*a - 4. Suppose a*w = 16 + 20. Suppose -4*f + w = -f. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -15 (b) -3 (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-105)*10\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 9. Let y(z) be the first derivative of 1 - 2*z + 0*z**2 + 1\/3*z**j. Find the first derivative of y(q) wrt q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -178 + -1?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.147352855?\nAnswer: -0.029470571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*l**3)*(-2 + 1 - 1) + 195 - 2*l**3 - 195 + l**3 - l**3 + 6*l**3 as w + f*l**2 + k*l + y*l**3 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8367*f*q**2 + 65*f*q - 3*f + q - 2 wrt q?\nAnswer: -16734*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**5\/6 - 2025*d**4\/2 + 3035*d**3\/3.\nAnswer: 5*d**3*(d - 1214)*(d - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443 (base 7) to base 6.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62941 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f\/((f**(-5)\/f)\/f)*f*f)\/f)\/f**(2\/23))\/(f\/(f**(-1)*f)*f*f**(1\/6)) assuming f is positive.\nAnswer: f**(1207\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 11619 = -10733. Suppose 116 = -20*v + 276. Suppose v*n = 4*n + f. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1001 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/120 + j**5\/6 + 25*j**4\/24 + 7*j**2. What is d in f(d) = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 134606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.049 and 66.5.\nAnswer: -3.2585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -104*m + 30. Let v(f) = -2*f**2 - 6*f + 19. Let k be v(-5). Is 14 a factor of z(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**3 + 3. Let q be g(3). What is the common denominator of -5\/3 and 24\/(-180) + (-299)\/q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17018 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*w - 34*w**2 - 101 + 15*w**2 + 101 + (2*w + 3*w - 4*w)*(6*w - 4*w + 0*w) - w**2 - 2*w**2 + 2*w**2.\nAnswer: -18*w**2 + 41*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(10 + -29)*2\/(-2). Let b(u) = u**3 + 7*u**2 - 8*u - 15. Let o be b(-6). Let m = n + o. What is the greatest common divisor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2) - 9\/(-1). Suppose -h + x = h. Let v = 13 - h. Which is smaller: v or 9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-14)\/(b\/((b\/((b**(-4\/5)\/b)\/b))\/b*b)) assuming b is positive.\nAnswer: b**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1751 - 175*x**3 - 172*x**3 + 92*x**3 + 1751.\nAnswer: -255*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, j: 1, q: 5}. What is prob of picking 1 j and 2 q?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3030310 (base 4) to base 3.\nAnswer: 122222111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -3*d. Suppose d = -6*b + b + 20. Solve -f + 5 = b*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 8*b - 4. What is the remainder when 6 is divided by d(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1176 - 864 = -120*n. Let h(a) = 6*a - 98. What is h(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -522 by 12.\nAnswer: -87\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -6193 + 1149. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -v + 5. Suppose 3*q - 22 = 5*n + v, 0 = 3*q - 3*n - 21. Is q bigger than 7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 5535708.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5836, -11774, -17712?\n\"Answer: -5938*g + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 34*f**2 + 2*f + 2. Let h(v) be the first derivative of -68*v**3\/3 - 5*v**2\/2 - 5*v - 7793. Calculate -2*h(z) - 5*y(z).\nAnswer: -34*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + (-1 + (sqrt(475) - (sqrt(475) + 0)))**2 + -5 + -2*sqrt(475) + sqrt(475))*2*6*-5 + -1.\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 616184, 616181, 616178, 616175, 616172, 616169?\n\"Answer: -3*b + 616187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 9. Let y(b) = -b**3 + 6*b**2 + 10*b + 1. Let m be y(a). Suppose -m = -5*x + 33. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 195 = -6*s - 198 + 419, 3*s = 5*z + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-2)\/(4*-1). Let t = -16 + 16.2. What is the closest to t in h, 5, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 11*m**3\/6 + 11*m. Let v(k) = 12*k - 1. Let x(u) = -6*v(u) + 5*y(u). Let n(l) = -8*l + 3. Determine 13*n(s) - 6*x(s).\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3111089119.99999898 + 3111089154. Let p = 34 - c. What is p rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 1653.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a meter in millimeters?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (98\/(-147))\/(6\/(-180)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1\/7, -3\/2002?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1751.2929 to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3132.885 days?\nAnswer: 447.555","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.455288l?\nAnswer: 455.288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 40114.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 10:39 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35490 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-56*g**3 - 92*g**3 - 61*g**3)*(-4 - 2 + 5) to the form z + t*g + q*g**2 + r*g**3 and give r.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -424940?\nAnswer: 42493c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o = -20*o + 99 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 - 7818*c**4 + 7819*c**4 - 6*c + 3*c**3 + 4*c + 5 to the form q + d*c**2 + m*c**3 + v*c + p*c**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1741, 5, -1\/10, -4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -114?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -2. Solve -x - 4 = 0, -4*x + a = 4*p + 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 3:42 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyahhgggfhhhhhhhgg. Give prob of picking 1 h, 2 g, and 1 y.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6768 and 47862?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 667 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 c, and 1 q when four letters picked without replacement from {q: 5, m: 3, w: 1, f: 1, c: 2, u: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2239 rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.259 + -0.831. Let w = l + -0.4. Let o = 0.01 - w. What is o rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4152 is divided by 1038.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3226\/3 - 1076. Put y, 4, -0.09, 34 in descending order.\nAnswer: 34, 4, -0.09, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 496 = -5*p + p, p - s - 129 = 0. Suppose 122*y - p*y + 2289 = 0. What are the prime factors of y?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**2\/2 + 4*o + 5. Let c(s) = -s + 1. Let p be (-13)\/13 + (4 - 0). Suppose -5*a - p = -2*a. Calculate a*n(w) + 3*c(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1088 - 0.085.\nAnswer: -1088.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 85104 and 3708328.\nAnswer: 200249712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 81 + 81.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-8))\/(15\/18). Suppose -3*r = -0*r. What is the closest to -0.1 in 3, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2246*d**3 + 26*d**2 - 2233*d**3 - 11*d**2 to n*d**3 + b + y*d**2 + p*d and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07828255 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242624857, -485249716, -727874575, -970499434, -1213124293?\nAnswer: -1455749152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3165 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8767914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - -11. Suppose -o + 2*o = 223. Suppose -5*q - 308 = -4*h - 9*q, -o = -3*h + 5*q. What is the greatest common factor of h and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 0.1, 1, 1\/7, 4.9.\nAnswer: 0.1, 1\/7, 1, 4.9, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9152\/4312)\/52 - 30\/(-1666).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -1.5344?\nAnswer: 9.2064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 + 5*b - 3. Let j be k(1). Suppose j*o + 34 = 64. What is the remainder when 29 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*w + 450 = -725*w + 360*w for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -606?\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2524468448 to the nearest integer?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s + 24*s - 24*s - 37449 = 0. Solve -j = -1964 + s for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/12 - 161\/(-4). Let s = 42 - t. Let r be -1 - (-12)\/(1 + s). Solve -2*w - r = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00682934463 rounded to 4 decimal places?\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21968.4 - 21971. Put 4, -0.4, -2\/7, g in increasing order.\nAnswer: g, -0.4, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t = 0. Suppose 3*f - 33 = -t*f. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 324, 351, 424, 567, 804, 1159, 1656, 2319?\n\"Answer: 4*o**3 - o**2 + 2*o + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**5 + 4948*k**4 + 95408*k**3 + 60720*k**2 - 542592*k = 0. Calculate k.\nAnswer: -18, -3, 0, 2, 1256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h**4 + 2*h**4 + 7*h - 6*h)*(-7 - 7 + 4)*(-8 - 4 - 4) in the form q + u*h**4 + v*h**3 + g*h + c*h**2 and give g.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -393*d + 12214. What is b(25)?\nAnswer: 2389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -3) + (-1 - -310). Suppose a*w + 16 = 306*w. Put w, -34, 0, -4 in decreasing order.\nAnswer: 0, w, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*x = 61*x - 12 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1457 - 1455. Solve -g*l - 4 = 2*n, 5*l = 3*n + 8 - 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10403963.\nAnswer: 19, 547577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 2680?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 5*b**2 + 78*b + 219. Let h be a(-3). Factor 0 + 0*t**2 - 2*t**4 + 4\/3*t**h + 2\/3*t**5 + 0*t.\nAnswer: 2*t**3*(t - 2)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 82*h**2 - 283*h - 397. Is j(65) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -87, -177, -267, -357?\n\"Answer: -90*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1578821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1265805 is divided by 3449.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*a = -6881, -b - 3*a - 616 + 2349 = 0. Let j = b + -24067\/14. Find the common denominator of j and -2*(-2 + 74\/40).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.632384 rounded to 2 decimal places?\nAnswer: 2.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k = -3. Suppose -24*c + 360 = -12*c. Let w be 3\/(-15) - (-366)\/c. Calculate the highest common divisor of w and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 - m**4 - 3*m**4 + (-13*m**2 - 3*m**3 + 13*m**2)*(11*m + 10 - 10).\nAnswer: -35*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32841 or 33799?\nAnswer: 33799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Let l = 50 + -36. Let m = l - 10. Which is the third biggest value? (a) 0.3 (b) m (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140521540 (base 7) to base 13.\nAnswer: -1b84091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3 + 15 = 0. Let z be (3 + k)*107000\/(-6). What is z rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -4, 0.2, -1\/44?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/5)\/((-96)\/(-240)). Suppose u*j - 25 = -4*a, -3*a - 45 = -8*a - j. Let i = -120 + 210. What is the greatest common factor of i and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2108*x**3 + 44*x**2 + 25*x + 27. Let u(l) = 422*l**3 - 8*l**2 - 5*l - 5. Determine -2*s(w) - 11*u(w).\nAnswer: -426*w**3 + 5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - -114?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*k - 4 - 14, -g = -3*k + 4. Suppose 4*b = r - 25, 0 = r + g*b + 3 - 28. Calculate the remainder when r is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 + 2*m + 7323*m**3 - 3668*m**3 - 3663*m**3 + 6 to o*m**3 + x*m**2 + f*m + u and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 290*u - 195*u - 182*u - 3 to the form i*u + z and give i.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -737 - -1049. Calculate the greatest common factor of 6344 and m.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2428 and 12.214?\nAnswer: -2.9655592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + l. Let u be s(1). Let d(p) = -p**u + 5*p**2 - p**2 + 1 + 0 + 2*p. What is the units digit of d(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 93*y = 89*y - 15, -y = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 24*y**2 + 159*y - 2775. Calculate the remainder when 6\/4*(-1 + 27) is divided by k(26).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/6, -3\/29, 6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -564.8 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 24085 = -5*p + 24031, -3*i - p - 81 = 0 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crccrcrccccccc. What is prob of picking 2 c and 1 r?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0\/6)\/(1\/(-1)*1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -3*u - 14 - 9, 3 = 4*g + u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3.72 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139362645.\nAnswer: 3, 5, 9290843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*n*t**3 + 5*n*t**2 - 88*n*t + 145*n - 20031*t**2 + 39*t wrt t.\nAnswer: -48*n*t + 10*n - 40062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 65\/(-20)*(-21 - 3). Suppose -76*o = -d*o + 80. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = 188*h + 891 + 530 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35818, 35841, 35864, 35887?\n\"Answer: 23*p + 35795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -36. Let c be 7\/(63\/96) + 2\/v. Solve -r = -3*r - c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -173, -199, -225, -251?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -25?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64854?\nAnswer: 2, 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -472185, -472187, -472191, -472197, -472205, -472215?\nAnswer: -472227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -23220000 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8584558 = 8584561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001458156 rounded to 5 dps?\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_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: What is the product of -3 and -0.98?\nAnswer: 2.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 39, 87, 135, 183, 231?\n\"Answer: 48*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 20. Solve 2*m + 2*m = q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/157437 and -31\/87465?\nAnswer: 787185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3 + 6*h + 13*h - 20*h + h**2. Give g(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 116 = -14*d. Suppose -w + d*s = -0*w - 324, -2*w + 2*s = -666. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436187 divided by -12?\nAnswer: -436187\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 4 - (-3)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3222*v - 269683 = 57507 - 11434 for v.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-234)\/12)\/((-6)\/40). Let w(m) = -m**3 + 3*m**2 + 6*m + 5. Let r be w(4). What is the highest common divisor of k and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idavabvvavavibai. Give prob of picking 1 a and 1 i.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*w - 0. Let f(a) = 1 - 2 + 4 + 2*a. Let d be f(w). Solve -5*y = -1 - 14, -2*q - d = -y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231538037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 293*s**3 - 293*s**3 + 4*s**5 - 11*s**2 wrt s.\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 6*c - 7740. Let z(h) = -3*h**3 + 152*h**2 - 244*h - 38. Let b be z(49). Suppose -s - b*s = -c. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = -s, -5*j - 2 = 4*s - 3. Let o be (-10*2\/16)\/(7\/(-28)). Let g be (-7)\/6 - -9*o\/30. What is the closest to g in j, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*n - 15, 0 = -2*d - 2*n + 8. Solve -2*v = -1 - d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183518 to the power of 1\/2, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/7))**42)**(7\/4) assuming k is positive.\nAnswer: k**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 166794105 to the nearest integer?\nAnswer: 12915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 + -7 + -3 - (-130 + -2) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -65, -167, -361, -677?\nAnswer: -1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b = 24. Suppose 84 = 2*x + 5*v + 8, -x + 4*v = -b. Solve -6*a - x = -13*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(76) + (sqrt(76) - (-4*sqrt(76) - sqrt(76)))))\/((sqrt(4) - (sqrt(324) - sqrt(4)))*-4).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-16) + 485\/(-4). Let i = -7 - m. Let t be ((-138)\/i)\/((-7)\/5). Is 1 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13923 = -5*b + 472. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 + 207\/(-21))*(-2)\/(-4). Let h = 33.5 + -22.5. Put h, 5, w in decreasing order.\nAnswer: h, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -4 (b) 1\/4 (c) -0.3 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 32154.\nAnswer: 32154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k = -4. Let q = k + 2. Let y be 15\/(-35) - (-52)\/(-42). Which is the nearest to -8? (a) 1\/3 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + 1*(1 + (5*(-3*sqrt(98) - sqrt(98) - sqrt(98))**2 - sqrt(98))))*-3*-1.\nAnswer: -21*sqrt(2) + 36744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -48846 greater than or equal to -1755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.569 take away 128.4?\nAnswer: -128.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 u when three letters picked without replacement from abnabbbabafunn.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -i - 4, -4*m + 97 = 5*i + 89 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5368, 5474, 5666, 5956, 6356?\n\"Answer: 2*w**3 + 31*w**2 - w + 5336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(704)*4 + sqrt(704)*-2 + -1)**2 + 3*1*sqrt(1331) + -1 + -5.\nAnswer: 257*sqrt(11) + 137979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.15 + -1.35. Suppose -15*r = -19*r + 16. Suppose -r = -9*i + 23. Which is the biggest value? (a) 0.5 (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -26 + 11*(-2 + 3)*24\/264. Let f(l) = l**2 + 27*l + 32. Give f(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 1180*o - 174050.\nAnswer: -2*(o - 295)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4482208*q**2 - 196*q + 4332 wrt q?\nAnswer: 8964416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 2. Let g(u) = -u**2 - 2*u. Let o be g(s). Let a(f) = f**2 + 3*f + 3. Give a(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534042403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 6*o**2 - 7*o. Let j be d(-7). Suppose 3*c + j = 3. Differentiate 3 - c - 1 + 2*x**2 wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s - 11. Let w be r(-5). Let c be (-2)\/(-4) - (-21)\/w. Suppose 5*f = c*m - 3*m + 1659, -f + 4*m + 315 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 18*i**3 + 1300*i**2 + 211*i - 5547. Calculate d(-72).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1311035, 2622073, 3933111, 5244149?\nAnswer: 6555187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 9*f + 24. Let i be r(11). Suppose 8 = -3*h - h. Let w(o) = -o**3 - 2*o**2 - 2*o - 1. Let t be w(h). Solve t*l - i = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1452\/2420)\/((-1)\/(-5)))\/(99\/(-6))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -1\/3*x**3 + 2 - 1\/4*x**4 + 0*x + 1\/2*x**2. Let v be w(-2). Solve 3*d - v*d = -3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 - 15*h**2 + 49*h**2 - 12*h**2 - 14*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -285235234*c**4 + c**3 - 36810100.\nAnswer: -1140940936*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 780*o**2 + 16900*o + 64500.\nAnswer: -4*(o - 215)*(o + 5)*(o + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20195.4 - 34928102\nAnswer: -34907906.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 2*f - 5*y + 7, -4*y - 13 = -3*f. Suppose 2*t - 6 = 0, 0 = p + t - 5. Solve -h = p*h + f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 = 12*h + 610. Let d = 80 + h. What is the least common multiple of d and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -22*t**2. Let z(g) = -5*g. What is d(z(u))?\nAnswer: -550*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 2*i**2 - 2*i - 1144. Let j be q(0). Is ((9\/(-4))\/3)\/(11\/j) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10735.27 * 3.\nAnswer: -32205.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/7754866 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2936*h**2 - 2932*h**2 - 2934*h**2 + 206*h**3 + 8802*h**2.\nAnswer: 206*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 369*t**2 + 6*t - 895. Let g(c) = 360*c**2 + 5*c - 896. Let i(y) = 6*g(y) - 5*v(y). Find the first derivative of i(h) wrt h.\nAnswer: 630*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 5\/13 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -1\/5*j**2 + 0 - 1\/30*j**4 - 7*j + 2\/15*j**3. Find l, given that b(l) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16575 is divided by 202?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7516 * 4\nAnswer: -30064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6100 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1163 - 551. What is the greatest common factor of u and 578?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -913, -2916, -6721, -12904, -22041?\nAnswer: -34708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*a**4 - 100*a**3 - 848*a**2 - 128*a.\nAnswer: 2*a*(a - 8)*(a + 4)*(13*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 24 + 2 = -4. Let t(m) = 7. Let j(u) = u + 1. What is a*t(d) - 14*j(d)?\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -166.5 + -700.5. Let g = x + 704.2. Round g to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1193 divided by 1?\nAnswer: -1193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 12, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -291 + p**2 - 4*p + 310 + p. Is h(0) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12879810 and 486?\nAnswer: 38639430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 19*j + 1. Let s be m(-1). Let y = -11 - s. Find the second derivative of 4*k + 7*k - 19*k + 2*k**3 + y*k wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - c + 2. Let r be y(0). Suppose 6*v - r*v = 16. Let n = 4 + -3. Sort n, v, -1.\nAnswer: -1, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258646.7 millimeters to centimeters.\nAnswer: 25864.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18128, 18822, 19516, 20210, 20904, 21598?\nAnswer: 22292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h + 0 = -104 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 2:17 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1933398 plus -36178?\nAnswer: 1897220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 11:02 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -23.9 times 1.69715\nAnswer: -40.561885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76185, 76188, 76193, 76200, 76209?\nAnswer: 76220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 528621?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2127 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 10 + 10. Let w(c) be the third derivative of 23*c**4\/24 + 11*c**3\/2 + 2*c**2. What is the tens digit of w(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -62.48, 810?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 52*x**3 - 57*x - 3 + 207*x + 53*x**3 + 207*x + 2*x**2 in the form p*x + a*x**3 + f + c*x**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 2*d + 2*d**3 + (-1 - 2*d + 1)*(-d**2 + 4*d**2 - 4*d**2) - 3*d + 2*d**3 + 3*d + (3 - 2 - 6)*(-d + d + 2*d)*(2*d**2 + 2*d**2 - 2*d**2).\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4156 + 4156.04022. What is z rounded to three decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 404\/5 (b) 0.3 (c) 1\/10 (d) 56 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, a: 4, p: 9, w: 3}. What is prob of sequence aw?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 16379.73 years?\nAnswer: 1637.973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3*m + 3 = 0, 5*k + 0*m + 5 = 5*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -12) + (-6 - ((9 - 2) + -11))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -8*k**3 + 5*k**2 - 5*k - 5. Let t(h) be the second derivative of -h**5\/20 + h**4\/12 - h**3\/6 - h**2\/2 + 23*h. Determine 5*t(b) - x(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxjj when four letters picked without replacement from {j: 3, n: 3, q: 2, m: 2, w: 1, x: 3}.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -29*s**3 - 9 - 11*s**3 - 5*s - 11*s**3 + 9*s**2 + 28*s**3. Let a(z) = 11*z**3 - 4*z**2 + 3*z + 4. Determine 9*a(n) + 4*g(n).\nAnswer: 7*n**3 + 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**(-10)\/z)*z*z\/z**(-10)*(z**(-5))**(2\/3) assuming z is positive.\nAnswer: z**(59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 542, 3979, 13052, 30503, 59074?\n\"Answer: 457*w**3 + 76*w**2 + 10*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.4 - -9.5. Let l = -4 + r. Let j = -0.2 + l. Which is smaller: j or 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*a = 38, -56 = -v - 3*v - 4*a. Suppose v*k - 7*k - 507 = 0. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 o when three letters picked without replacement from oooooiiiiioiizoozzo?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 3 + 3)*(1 + 41*p - 23*p - 15*p).\nAnswer: 3*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) -1 (c) 1\/81 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = k - 48, 2*k - 6 = -0*k. Suppose -4*w + 38 = 2*q, s = 2*w + w - 3*q. Suppose 3*r - w = 40. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -j + 13, i - 31 = -5*j. What is the smallest common multiple of i and (-8)\/12*(-60 + -3)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 14785*u**3 - 4*u**2 + 4*u - 2. Let d be v(2). Suppose 5*l = 9*l + 885080. Let s = d + l. What is s rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 11*f - 11. Let t(m) = -m**3 + 8*m**2 - 3*m + 18. Let z be t(8). Let w(c) = c**3 - 6*c - 6. What is z*d(q) + 11*w(q)?\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 + 10 - -33)*(0 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**7\/720 + t**6\/144 - t**5\/30 + t**2. Let q(l) be the third derivative of f(l). Find the first derivative of q(b) wrt b.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**5\/510 - a**4\/68 - 10*a**3\/51 - 11*a**2 + 2*a. Factor s(g).\nAnswer: 2*(g - 5)*(g + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 99*m**2 - 7*m - 7. Let j be s(-1). Suppose -3*q + 5*w - 8*w = -j, 9 = 3*w. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 9:13 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 b when four letters picked without replacement from {m: 3, b: 1, l: 6, i: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 41*q**3 - 12 + 23.\nAnswer: -41*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o - 47 = -134*c + 138*c, -4*c + 4 = -4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1245 + -1250. Put -19, -3, z, 3 in descending order.\nAnswer: 3, -3, z, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*5\/(-2)*(-8)\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7 + -1.1. Let z = -3 - q. Let s = -5.0639 - -0.0639. Sort 1\/2, s, z in increasing order.\nAnswer: s, z, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -1\/2*k**2 - 1\/4*k**4 + 108 + 0*k - k**3. Let h(m) = -m**2 - 3. Let l be h(0). Give b(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33891 (base 10) to base 15\nAnswer: a096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**2. Let p(w) = -20*w**2 - 34 + 34. Suppose 32 = -3*v - 4*i, 4*i = -3*v + v - 28. Let r(j) = v*p(j) - 11*f(j). Let m(n) = -n. Calculate r(m(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 - -2) + (10 - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 0, -1 in descending order.\nAnswer: 0, -1, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 4\/10705 (c) 3 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/49 and -29\/17591?\nAnswer: 17591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 158\/7 in increasing order.\nAnswer: -4, 4, 158\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*w**2 - 5*w**2 + 85*w**2 - 2*w**3)*(-1 + 4 - 2).\nAnswer: -2*w**3 + 122*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 0*m + 0*m**3 - 40*m**2 + 0 + 2\/3*m**4. Let v(c) = -c**2. Determine v(j(y)).\nAnswer: -256*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*r**3 - 179*c*r - 133889*c + 17163820*r**3 wrt r.\nAnswer: 12*c*r + 102982920*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3269, 3288, 3317, 3356, 3405, 3464?\nAnswer: 3533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**2 - 5*u**2 - 5*u**2 + 15*u + 22*u**2 + 0*u**2.\nAnswer: 3*u**2 + 15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**4\/4 - 16*w + 6. Find the first derivative of r(n) wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5965 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*n - 38, -42 = -3*d - 5*n + 2*n. Find the third derivative of 4*r**4 - 22*r**2 + 27*r**4 - d*r**4 wrt r.\nAnswer: 504*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 113, 218, 319, 428, 557, 718?\n\"Answer: 2*p**3 - 14*p**2 + 133*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-3 - 1)) + (0 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u = -7408 + 3544 + 3396 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 228 - 409. Let q = o - -527. List the prime factors of q.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 32. Sort -0.4, 3, x, -0.1 in decreasing order.\nAnswer: 3, x, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkppkksskpscsku. What is prob of sequence css?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/1281, 4, 3, 3\/4.\nAnswer: -2\/1281, 3\/4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3451876 is divided by 143.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjyjijyyy. What is prob of picking 4 j?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmj when three letters picked without replacement from {c: 1, u: 1, m: 1, d: 1, j: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 21*o - 15. Calculate z(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*(h\/h**4)\/h)\/h)*h\/(h\/(h*(h\/h**(-27))\/h)))\/((h*h**(-36))\/h**(-34)))**(3\/8) assuming h is positive.\nAnswer: h**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18708806 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -82?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 428214 and 174.\nAnswer: 428214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -963 + 966. Solve -3*r - 15 = b*y, 3*r - 2*y = -0*y + 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20+2.78\nAnswer: 22.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1608460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*((-8512)\/190)\/(4\/10). Solve 257*a - 225*a = -m for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1984 - 1386. Is q a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 2)\/(-2*9\/12). Put 5, -3, j, 2 in decreasing order.\nAnswer: 5, 2, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35715383 and 1708870.\nAnswer: 357153830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 494 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 651068*z**2 - 5208772*z - 4557700.\nAnswer: 4*(z - 162775)*(z + 1)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -11. Suppose -8 - 2 = -f*r. What is the first derivative of 1 - 3*p**2 + r*p**2 + 0*p + 0*p wrt p?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 8*r + 10. Let k = 7 + -5. Suppose 0 = 3*b - i - 32, 4*i - i - 14 = -k*b. Is 15 a factor of z(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-4))\/((-1)\/(-325)). Let s = o + 80. Suppose -18 = -2*r + 5*t, -r - 24 = 3*r + 5*t. Which is smaller: r or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.23 + 0.27. What is the closest to 1\/3 in 0, -1.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -13*w**2 - 71*w + 920. Give s(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/10)*a*a*(a**5\/a)\/a*a**6\/(a\/(a\/a**(-6))))\/(a\/(a\/(((a\/(a\/(a\/(a*a**(4\/13)\/a)*a)))\/a)\/a))*a*a**(-6))**14 assuming a is positive.\nAnswer: a**(11857\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/9 + 10*w**2\/9 - 4*w\/3.\nAnswer: 2*w*(w - 1)*(w + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 + -0.1. Let m = -0.03 - -25.03. Let b = -28 + m. Which is greater: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -3\/4 (c) 2\/39 (d) 0.18 (e) 11 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 316 - 316.0000169. Round j to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2281 = 2*v - 4*h - 2247, 0 = v - h + 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 7*z + 5. Let w be y(-7). Suppose m - w*m = -16. Let r be (-64)\/(-2)*6\/m. What is the greatest common factor of r and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m**3 - 65*m**2 + 396*m - 2. Let s(h) = -3*h**3 - 39*h**2 + 198*h - 1. Calculate -3*d(x) + 5*s(x).\nAnswer: 3*x**3 - 198*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -50*q**2 - 14*q - 1. Let g be t(-3). Let f = 412 + g. Solve 0 = -3*o - n - 15, 4*n - 2*n = -f*o - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and 3.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 + 134824*p\/5 - 485496.\nAnswer: 2*(p - 18)*(p + 67430)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 r when four letters picked without replacement from {e: 3, r: 5, f: 2, d: 10}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*f + f - 25*f)*(-6*f + 6*f + 2*f**2).\nAnswer: -104*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 25*w - 77. Let t be i(-4). Calculate the highest common factor of t and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -i, -23*u = -21*u + 5*i - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/18)\/((-5)\/((-255)\/34)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*3)\/(-1*(-5)\/5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*w - 38756 - 28675. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 26. Let r = -15 - y. Suppose 0 = -4*u - 3*c + 63, 0 = 3*u + c - 30 - r. Calculate the greatest common divisor of 120 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 13451190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -w - 2*c - 10, 0 = -3*w - c + 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1, 3\/4, 0.8, 14 in increasing order.\nAnswer: -1, 0.1, 3\/4, 0.8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 2*l + 4*l)*((6 - 2 + 3 + 3 - 3 - 1 - 1 - 2 + 0 + (0 + 0 - 1)*(-1 + 2 - 2) - 1 + 1 - 1)*(2 + 3 - 1) + 1 - 8 - 2).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/21 (b) 3 (c) -296 (d) -0.3 (e) 5 (f) -1 (g) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020286297 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26207 is divided by 2379.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 17 - 2. Let s = 3 + j. Which is the closest to 0.1? (a) s (b) -3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8*1*-1)\/2. Let w(g) = 16*g + 122. Let q be w(-6). Suppose -4*a - 9 = -q*b + 23*b, 0 = 4*a. Solve y + o = b*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 - -73?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -212539 + 212635.033. Let d = g - 0.033. Let a = 85.2 - d. Round a to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m + 2. Let j be k(-3). Let p = -30 - -34. Calculate the remainder when p is divided by ((-8)\/(-12))\/(j\/(-18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1492*u**4 - 15*u**2 - 15.\nAnswer: 35808*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3, 4\/15, -3, 1.92?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-14\/3))**0\/((f**(9\/4)*f)\/(f**(-39)\/f)) assuming f is positive.\nAnswer: f**(-173\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**4 + 10505*u**3 - 218715*u**2 + 654775*u + 884000 = 0.\nAnswer: -1, 5, 17, 2080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13356759.\nAnswer: 3, 13, 342481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 3*o**2 + 5. Let r be h(-4). Let p = r + 6. Suppose -4*i = t - 12 + 36, 0 = i + 5. Sort p, t, -3 in descending order.\nAnswer: -3, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (38\/(-6) + 1)*84\/(-8). Suppose -a - r = -15*a. Suppose k = 2*t, 2*k - 2*t - t - a = 0. Calculate the greatest common divisor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178, -166, -146, -118, -82, -38, 14?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142*k**2 + 408*k?\nAnswer: 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4107996?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -4.6. Let u(c) = -7*c - 130. Let b be u(-18). What is the second biggest value in b, t, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -33.9?\nAnswer: -32.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -714 or -709?\nAnswer: -709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*c**2*m*r + 134*c**2*r + m*r + r wrt m?\nAnswer: 18*c**2*r + r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97 (base 12) to base 8.\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1\/3, -2\/5, 5, 150\/7, -4\/3, 2\/765?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 2*w + 4*g + 66, 5*w - 68 = 2*g. What is the highest common divisor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*o + 30 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -785*m**2 + 4026*m**2 - 721*m**2 + 1720*m**2 + 1047*m**2 to l + s*m + o*m**2 and give o.\nAnswer: 5287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/60*2)\/(1\/(-55)). Let t = 21 + -23. Sort k, -14, t in descending order.\nAnswer: t, k, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s - 2*s)*(1 - 1 + s**2) + 35*s**3 - 257*s**3 - 138*s**3.\nAnswer: -361*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1433161 by -46231.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6e03 (base 15) to base 11.\nAnswer: -16646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 12 + (-2 - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**5\/4 - 11*a**4\/4 + 449*a**3 + a - 1652. Find the second derivative of g(q) wrt q.\nAnswer: 30*q - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 - -187\/4. Is q greater than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 2*t**2 - t + 2. Let u be (-2)\/(8\/20) + 12\/4. Give a(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.3 + 30. Sort u, 4, 0.4 in increasing order.\nAnswer: u, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823410 a multiple of 698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 806900 rounded to the nearest 10000?\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -13*r. What is x(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(33) - sqrt(33)*2)*-4 - sqrt(33)) + sqrt(33))\/(sqrt(396) + (sqrt(396) - (sqrt(396) - 2*sqrt(396)))).\nAnswer: 2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165102976 and 60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3506147\/7 + -502171. Let y = c + 1298. Find the common denominator of 3 + (-596)\/40 + 9 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6, -0.014, -2\/3, 2\/7, -26, -0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v - 2*v + 594. What is the smallest common multiple of 14 and v?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2 - 83899396*n + 83899392 = 0. What is n?\nAnswer: 1, 20974848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -9*j**2 - j + 6. Let i(z) = -2*z**2 + 48*z + 1. Let t be i(24). Let w be v(t). Sort -2\/151, w, 4 in descending order.\nAnswer: 4, -2\/151, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - n - 17, -3*n - 15 = -64*y + 61*y. Solve 3*j - 13 = 39*d - 40*d, -y*j - 4*d + 25 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**23\/c*c**(2\/27)*(c*c**16)**(-2\/15))**(-1\/50) assuming c is positive.\nAnswer: c**(-1337\/3375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 125 - 99. What is the smallest common multiple of (-8)\/(u\/(-7)) - -141 and 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315003959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1234, -1131, -960, -721?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8614003?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 57*m**2 - 489*m - 394. Give i(-45).\nAnswer: -2689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13875 (base 16) in base 6?\nAnswer: -1414153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0104937 months in millennia?\nAnswer: 0.000000874475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 87*b**2 + 3*b + 2. Suppose o = -3*o - 4. Let g be y(o). Suppose 4*m - g = 38. Calculate the remainder when 90 is divided by m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273386781?\nAnswer: 3, 30376309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 + -183. Let o = p - -111. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 10*o**2 + o + 13. Let y be w(-10). Solve s + 1 = -2, -y*s - 6 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llpp when four letters picked without replacement from lpllnppl.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 9, 0.02, 112, -1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**2 + 2*h - 2. Let w = -26 + 24. Calculate the smallest common multiple of 24 and o(w).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 8 = 7*b. What is the nearest to -1 in -2, -8, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l*l**0*l))**(-6))**(-4)*((l*l\/((l**(1\/6)*l)\/l*l)*l)\/(l**(-4\/7)\/l))\/(l\/(l**(-2)\/l)*l)**50 assuming l is positive.\nAnswer: l**(-11365\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41472\/7 + 96\/7*y**3 - 1728\/7*y**2 + 13824\/7*y - 2\/7*y**4 = 0. What is y?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6891 divided by 3\nAnswer: -2297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -422300 + 11238.7?\nAnswer: -411061.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 62*a**2 + 16*a - 14. Let m be w(1). Suppose -m = -q - 3*y + 2*y, 5*y - 260 = -4*q. What is the greatest common divisor of 50 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -1124*o**2 - 8*o. Let q be p(8). What is q rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 13 = -322. Suppose 0 = -4*n - j + 1135. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 533 + -273. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-6) + (-30)\/(-4). Suppose -3*i - 21 = 2*o, 5*i + 35 - n = -o. Sort 2, -1, o in decreasing order.\nAnswer: 2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-2025)\/(-6))*(-75)\/(30 + -5)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 + -0.04. Let j = 2 + -3. Which is the nearest to 0.1? (a) -2\/5 (b) j (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.3, -13, 2.65 in descending order.\nAnswer: 2.65, -0.3, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(-3*v - 1 - 8 + 2) to the form c*v + r and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 144319412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2840 and 860.\nAnswer: 122120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1156761.\nAnswer: 3, 14281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knny. Give prob of sequence nny.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -737 or -742?\nAnswer: -737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 276*f - 1382. Determine r(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2511091*r - 5151412.\nAnswer: -2511091","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/4 - 11579*d\/4 + 107448 = 0. Calculate d.\nAnswer: -11616, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -278*r**3*u*v**2 + 10*r**3*v**2 - r**3 + 23617*r*v**2 + 25408*u*v**2 + 3*v**2 + 1 with respect to u.\nAnswer: -278*r**3*v**2 + 25408*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-186*k + 36*k - 137*k)*(8 + 0 + 9) + 17 - 17 + 5*k to the form h + t*k and give t.\nAnswer: -4874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -703*g - 20. Let o(y) = -1168*y - 41. Let q(r) = -5*d(r) + 3*o(r). What is q(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + (55 - 51).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*p**5 + 3072*p**4 - 2*p**3 + 12*p**2 - p + 322 wrt p.\nAnswer: -2340*p**2 + 73728*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.04 (b) -34129\/8 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 - 28*d + 4. Let v be y(-14). Solve -v = -i - 4*z, 5*i - 4*z + 5 - 1 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.77 times 555?\nAnswer: -27622.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (23 - -62 - 53).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 123, 183, 245, 309?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -12133.66 at most 0.64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25669294?\nAnswer: 2, 7, 1833521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-303)\/9)\/(1\/(-15)). Suppose 0 = -5*h + 2*w + x, 6*w = 3*h + w - 322. Calculate the greatest common divisor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24, -30, -24, 0, 48?\n\"Answer: j**3 - 13*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23248967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/9*9\/(-2). What is the highest common divisor of c and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5733031 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d**3 - 2*d + 2*d**2 + 2*d - 2*d to z*d + h*d**2 + j + l*d**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.617739 millilitres in litres?\nAnswer: 0.003617739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 4*r - 54. Calculate the smallest common multiple of 10 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3009, 6023, 9037, 12051, 15065, 18079?\n\"Answer: 3014*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 12963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41477.\nAnswer: 19, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-8))\/((-27)\/(-9)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 9*r + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 491458 divided by 2?\nAnswer: 245729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/99 and 562\/(-504) - (-100)\/150.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 0.5, 1\/3, 0.6 in descending order.\nAnswer: 0.6, 0.5, 1\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 18 + (-1 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 + t**2 - 4*t - 24. What is the remainder when k(-6) is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = v - 309, 3*g - v - 211 = g. Let m = g - 114. Let j = m + 38. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*t = 383, 30*t + 262 = 2*i + 28*t. What is the remainder when i is divided by 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 118*m**2 + 626*m - 290. What is f(-123)?\nAnswer: -1643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 11*j**2. Let d(x) = 67*x. Give g(d(q)).\nAnswer: 49379*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*k**4 - 514911*k**3 - 8748*k**2 - 85*k - 4?\nAnswer: 456*k - 3089466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -508413 + 8199?\nAnswer: -500214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 5*o. Let h be p(5). Let k = 25.262 - -0.638. Let z = -25.5 + k. What is the closest to h in z, 5, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3480 and 110.\nAnswer: 38280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1312 is divided by 223?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3429 is divided by 98.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14145, 56587, 127325, 226359, 353689, 509315?\n\"Answer: 14148*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 47064 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a + 49803?\nAnswer: 49754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20680 - 20679.9. Which is the closest to 2? (a) 3 (b) 94\/5 (c) -1\/6 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**4\/12 - 22*q**3\/9 - 121*q**2\/6 + 72. Factor d(v).\nAnswer: -v*(v + 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 21*x**2 + 7*x - 4. Let i(j) = 20*j**2 + 6*j - 3. Calculate -4*i(f) + 3*o(f).\nAnswer: -17*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42.902 + 43. Let a = y + -0.179. What is a rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1489, -2978, -4463, -5944?\n\"Answer: 2*z**2 - 1495*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 + 31*l - 5*l**4 + 15*l**3 + 13*l**3 + 17*l - 64*l**2.\nAnswer: -4*l*(l - 3)*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + m - 26 = 0, 11 = -b + m - 3*m. Let w(v) = 0 + v**2 + 6*v - 2 - 2. What is the units digit of w(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*((sqrt(2448) - (sqrt(2448) - (1 + sqrt(2448))))*4 - sqrt(2448))**2.\nAnswer: -220480 - 2880*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -21001022 (base 3) to base 12\nAnswer: -2b82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/13 - 100*s\/13 + 102\/13.\nAnswer: -2*(s - 1)*(s + 51)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**6\/120 - i**5\/60 - i**4\/8 - i**3\/3 - 7*i**2. Let k be a(3). Solve 0 = f + 2*f + t + 18, 2*f - t = -k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -17*u - u**2 + 2*u**2 - 15 - 2*u**2. Is o(-6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 291949749072?\nAnswer: -291949749072.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 21*r**3 - 32*r**2 - 18*r - 1. Let u(c) = 4*c**3 - 6*c**2 - 3*c. Determine 11*u(y) - 2*w(y).\nAnswer: 2*y**3 - 2*y**2 + 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3041 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eje when three letters picked without replacement from {j: 2, g: 1, k: 4, e: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -512 + 527. Which is the closest to 3? (a) 0.2 (b) -2\/13 (c) 3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/(738\/574)\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20675 (base 9) in base 15?\nAnswer: -40bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 556952950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 407000 and 641432.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(176) + 2*(sqrt(396) - sqrt(44)))\/(-5*sqrt(20)\/(sqrt(320) - -3*sqrt(320))).\nAnswer: 192*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 37*l**2 - 34909*l + 69823. Determine v(2).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 226 + -158. Suppose 64*q - v*q = -196. Suppose -4*a + 7 = -q. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 817117636 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 85, 71, 51, 25?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1843, -1938, -2003, -2020, -1971, -1838?\n\"Answer: 3*d**3 - 3*d**2 - 107*d - 1736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r - 12224 + 60864 = 0. What is the lowest common multiple of 44 and r?\nAnswer: 16720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/3 + 4048*l**2\/3.\nAnswer: -2*l**2*(l - 2024)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84*z - 171*z + 77*z + 3)*(-2*z**4 - 3*z**4 + 3*z**4) + (-2*z**5 + 0*z**5 - z**5)*(0 + 1 + 1) + 0*z**5 - 4*z**5 - 2*z**5.\nAnswer: 8*z**5 - 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 22*p - 28*p + 17*p + 2*p**2 + 2*p**2. Let f(j) = 6*j**2 + 16*j. Let q = 143 + -138. What is q*f(d) - 7*o(d)?\nAnswer: 2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*k - 113, 4*k + 0*k = -2*q - 164. Let p = 65 + k. What is the lowest common multiple of 18 and p?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.129, -3.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 20 = 2*b. Let y be (12\/b)\/(22\/55). Solve -w - 4 = 0, -y*x + 7*x + w + 8 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r**2 - 159*r + 77*r + 1 + 82*r.\nAnswer: 28*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 780 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3207049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21224687 is divided by 35.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193220583.\nAnswer: 3, 64406861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 922792272?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 21390*g**2 + 7900200*g.\nAnswer: -5*g*(g - 342)*(g + 4620)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 12. Give n(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 - 18*z**3 + 30*z**2 - 14*z.\nAnswer: 2*z*(z - 7)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -41775 >= -292419\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 27 = 2*u. Let t be u\/3 - 27*-3. Let k = t - 49. Calculate the highest common divisor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/6031 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/(-9))\/((-1)\/9). Let d(m) = -m - 4. Let h be d(-4). Let a be (0 + h + 1)*6. Solve -a*g + x = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (11 - 19) + 4 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 0*p**2 + 1 - 2 + (p - 7*p + 4*p)*(-2*p + 6*p - 2*p) - 2*p + 2*p - p**2)*(16*p**3 + 74*p**2 - 74*p**2).\nAnswer: -112*p**5 - 16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.2759 less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 5 = 2*s + 5*l, -5 = -5*l. Let y be ((-4)\/6)\/((-3)\/s). Is 2 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -93410, -186817, -280228, -373643, -467062, -560485, -653912?\n\"Answer: -2*c**2 - 93401*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-18)*1\/(1\/(-1)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - n - 1. Let g be t(-1). Let m be 162\/(-33) + 7\/(-77). What are the prime factors of (102\/15 + 6)\/(g\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-49) + (300\/7)\/3. Suppose 5*t - 76 = k. Solve -4*o + 7 = 3*y, -5*y + o = t + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*c + 102 + 66 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*d**2*h**3 - 5*d**2*h*v**2 + d**2*h*v + 2*d**2*v**2 + 10*d**2*v - 134*d*h**3*v**2 - 5*h*v**2 wrt h.\nAnswer: 84*d**2*h - 804*d*h*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -45a265 - -4?\nAnswer: -45a261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 152042 to the power of 1\/2, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 72, 6, 80 in increasing order.\nAnswer: -1, 6, 72, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1521 - -2258. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxlll. What is prob of picking 1 l and 1 x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5324) - (sqrt(5324) + sqrt(5324) + 3 + 0 + sqrt(5324))) + (sqrt(5324) - sqrt(5324)*-1) + 1)*-2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -1\/3 (b) 82 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2650*v**3 - 3411*v**3 + 6017*v**3.\nAnswer: -44*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 11 = -5*h - 0, -5*u - 4*h = -22. Suppose -4*y + 2 = -14. Factor 0*a**2 + 0*a + 2*a + a**u - a**4 - 3*a**3 + 0*a**y + a**5.\nAnswer: a*(a - 2)*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -336 (b) -2 (c) 2\/7 (d) 45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**3 - 2*l**2 - 18*l + 20. What is a(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {g: 3, s: 3, i: 1, o: 1, n: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*k**2\/5 - 34*k\/5 - 12\/5.\nAnswer: -2*(k + 2)*(7*k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 614 - 618. Suppose -11*b + 9 = -8*b. Let g(c) = c**2 - 9*c + 9. Let o be g(7). Put 4, b, o, u in descending order.\nAnswer: 4, b, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 37*m = -y - 325, -12 + 4 = -2*m + 5*y + 21 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 2*j + 3. Let n(q) = 6*q - 26. Let b be n(-5). Let o = 62 + b. Suppose -o*g = 5*g - 33. Determine d(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 35. Let c be (-46 - 0) + q + -2. Let a be c\/(-75) + (-16)\/24. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 0.5 (c) 0 (d) -1\/16590 (e) 4 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-44) - ((-4)\/(-11))\/2. What is the second smallest value in a, 14, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 + 7.85. Let h = 8 - w. Let k = -0.9 + -0.1. What is the nearest to k in -5, 3\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 254*((-2968)\/84)\/(2\/(-3)). Let a = -9103 - -25091. Suppose a = 5*y - m. What is y rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.047909 + -2880\nAnswer: -2880.047909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 680 + 1912 = 0. Let r = c + -617. Suppose 5*y + 56 = 151. What is the highest common factor of y and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/16*14*(528\/77)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4143, -11337, -23305, -40029, -61491, -87673, -118557?\n\"Answer: 3*n**3 - 2405*n**2 - 1741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28146 - -28747.16. Round u to the nearest ten.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 28, 67, 122?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2366 and 41912?\nAnswer: 293384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 8*n + 9. Let q be d(7). Suppose -1 = i - q. Let t = i - -7. Solve -h - h = -4*j - t, -14 = 4*j - 5*h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.24 + -0.14. Let z = 0.06 - 0.16. Let s = m + z. Which is greater: -13 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + (0 + 3 + sqrt(7))**2 - (-2*(sqrt(28))**2*6 + 4).\nAnswer: 16*sqrt(7) + 348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 14. Let r = 33 - s. Calculate the remainder when 56 is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181 - 168. What is the highest common divisor of 26 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 1.604.\nAnswer: 14.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 1065907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21915000 a multiple of 487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 38*r**2 - 74*r**2 + 35*r**2. Let k(b) = 1. Let n(s) = -5*s - 25. Let u(o) = 5*k(o) + n(o). Calculate u(v(m)).\nAnswer: 5*m**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 7, 0.58.\nAnswer: -40, 0.58, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15625*r**2 + 36*r + 550 wrt r?\nAnswer: 31250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 1\/3. Does x = 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222121 (base 4) in base 6?\nAnswer: 20321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 - 80. Suppose -4*m - 8 = -5*q, m - 1 = -q + z. Suppose 2 = -o - 3, m*t - 275 = o. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/18 + 47300\/180. Let y = v + -102. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28738 (base 10) in base 5?\nAnswer: -1404423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15811 and 7.212029586.\nAnswer: 15818.212029586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 137839 plus 29962333?\nAnswer: 30100172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150534*l - l**3 - 75239*l - 75226*l.\nAnswer: -l**3 + 69*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72024898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 977 - 977. Which is the biggest value? (a) -12 (b) 5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q + q**3 + 2*q**2 + 12 + 0*q**2 - 5 - 5*q**2 - 5*q**2. Let z = 29 + -22. What is l(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*a*g*o**3 + 7*a*g*o - 2*a*o*p + 3*a*p - 2*a + g*o*p - 6*o**3*p wrt g.\nAnswer: 4*a*o**3 + 7*a*o + o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 1\/210*u**5 + 1\/84*u**4 - 4 - 2\/21*u**3 + 1\/2*u**2 + 0*u. Let t(g) be the second derivative of y(g). Solve t(x) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 2060. Let r(q) = -144*q - 2. Determine f(r(s)).\nAnswer: 144*s + 2062","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.537 kilograms in grams?\nAnswer: 10537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-88)*(1 - 2). Let c = -2.84 + -0.16. Sort c, n, -2\/13 in increasing order.\nAnswer: c, -2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -14*m**2 - m + 13*m**2 + m. Suppose 5*t + 85 = -85. Let h = -52 - t. Let r(l) = -3*l**3 - 18*l**2. Calculate h*i(w) + r(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6815 (base 9) to base 14.\nAnswer: -1b9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from getpt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from eerei.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.24*-4\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 24\/10)\/(454*(-5)\/250 - -9)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79040 and 2880?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x = -132. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2*1)\/((-1200)\/(-120))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 684*b = -6207 - 6105 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -84, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -5527.\nAnswer: 1\/5527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6 - -197) + 5)*(-2)\/(-4). Suppose -17*b = -c - 4. Let z(s) = -s + 6. Give z(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**3 + l**2 + 12*l - 2. Let k(y) = -19*y**3 - 5*y**2 - 60*y + 11. What is 11*f(c) + 2*k(c)?\nAnswer: 6*c**3 + c**2 + 12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 0*j**4 + 1\/15*j**7 + 0*j**6 + 0*j + 0 - 15*j**2 - 5\/2*j**3 + 0*j**5. Find the first derivative of b(t) wrt t.\nAnswer: 56*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 335616 and 21031936.\nAnswer: 63095808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 18. Let i be u(-8). Suppose -5*a + 4*n + 27 = 0, 5 = a - 4*n - i. Let t(s) = 0 - s + a*s + 0. Let l(o) = -2*o. Determine t(l(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5580\/7 - 797. Which is the third biggest value? (a) 0.5 (b) -0.4 (c) 1\/4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42372 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -138.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 555 - -17142. Let b = -40697 + z. Round b to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-14))\/(9\/21). Let h be (5\/(-4))\/(19\/(-76)) + 201\/(-45). Solve 8\/15*p - h + 26\/15*p**2 + a*p**3 = 0 for p.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 3. Let s = r + 8. Suppose x + 3 = m - 2*x, s*x = -5*m + 15. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22999285 is divided by 3035?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -189*i**3*s - 4*i**2 + 120365*i*s + 567345805*s wrt i.\nAnswer: -567*i**2*s - 8*i + 120365*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 85567958 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.29 - -11.290000869. Round h to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*n**2 - 462*n + 0*n**2 + 462*n.\nAnswer: -19*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1966 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m + 52. Give q(-13).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 6745506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 235\/6 + -39. Which is the third smallest value? (a) -3 (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146364*r**5 + r**3 + 31*r - 924 wrt r.\nAnswer: 2927280*r**3 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56246540 to the nearest integer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2239 - -1182191\/528. Let t = -21961\/25872 - u. Calculate the common denominator of -59\/4 and t.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-1*sqrt(792)*1 - 4*1*sqrt(792)))\/((sqrt(99) - (sqrt(99) - (-2*sqrt(99) - sqrt(99)))*3)\/(-4*(sqrt(9) + 3*sqrt(9)))))**2.\nAnswer: 1843200\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-89505)\/47736)\/(5\/(-64))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-56)*(-24804)\/10335?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/2 + 720 + (1 - -3). Suppose -26*b = -45*b + r. Calculate the highest common factor of b and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 46*t + 80. Calculate k(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 + -1.1. What is the closest to x in -1, -0.1, -28?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 232*y - 76110. Determine m(328).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2811 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 414574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -51123, -51112, -51083, -51030, -50947, -50828, -50667, -50458?\n\"Answer: q**3 + 3*q**2 - 5*q - 51122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 1. Suppose -1 = 3*z - 4. What is the third smallest value in s, z, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -8890\nAnswer: -88.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2852, 5704, 8556, 11408?\nAnswer: 14260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*i**4 + 13*i - 13*i - 1)*(1 - 3 + 4)*(2*i - 5*i + i).\nAnswer: 64*i**5 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*o = 12, -3*o + 6*o + 6 = 3*i. Suppose v - i = 0, 10*m = 6*m - 4*v + 32. Solve 6 = -5*f + 2*g, 2*f = m*f - 2*g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371328053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3013 is divided by 101?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 4 + sqrt(38)\/sqrt(2) + sqrt(19) + (sqrt(171))**2 + 3 - ((sqrt(133)*2)\/sqrt(7) + 0).\nAnswer: sqrt(19) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017674809 to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 856, 1595, 2234, 2779, 3236, 3611, 3910, 4139?\n\"Answer: t**3 - 56*t**2 + 900*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3\/2*20\/15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 23, 8, -11, -34, -61, -92?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**6\/120 - i**5\/10 - i**4\/6 + i**3\/3 + 7*i**2 + 2. Calculate the remainder when o(-6) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1) + 1 + 20. Let w be 4\/o - (-1842)\/33. Calculate the greatest common divisor of w and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 133 - 65 - 120 + 2*g**2 - 4*g**2 + 30*g.\nAnswer: -2*(g - 13)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 y when three letters picked without replacement from yfyyff.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 5. Let f be k - -4 - (1 + -1). Is 2 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -0.1. Suppose n - 4*n = 2*l, n = -2*l. Let o = -181 + 723\/4. Which is the nearest to 0.1? (a) p (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 48 + (-5 - 5) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2591, -2598, -2609, -2624, -2643, -2666?\nAnswer: -2693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100 + 98. Let n be 2 + 1614720\/(4 + q). Suppose -732638 = 5*w + n. What is w rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.2 (c) 9\/11 (d) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -4930.\nAnswer: 1\/4930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20a - b8a629?\nAnswer: -b8a41b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 365058, 2920443, 9856502, 23363577, 45632010, 78852143?\n\"Answer: 365057*w**3 - 5*w**2 + w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -7*b**3\/6 - 19*b**2 + 10*b. Let x be g(-8). What is the greatest common factor of 27 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2604 times 94299\nAnswer: 24555.4596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13980059 and -179.98.\nAnswer: -13980238.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 9. Let p be (-1)\/6*(-20)\/(-25). Which is the nearest to -0.1? (a) r (b) p (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -11.6. Let g = d + -7. Let w = -0.4 + g. Which is smaller: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/5302 and 101\/82422.\nAnswer: 906642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*w**4 + 20 - 10 - 6 wrt w?\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g\/g**(-5))*(g**(-5)\/g)\/g*g\/(g*g\/g**(-6))*g*g**(-2\/13))**(-43))**(7\/9) assuming g is positive.\nAnswer: g**(71036\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*s**2 - 15*s**2 - 51*s**2)*(2*s + 2 + 0 - 3).\nAnswer: -112*s**3 + 56*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**3 - 7*r**2 - 7*r. Let f(m) = 28*m - 9*m + 3*m**3 - 5*m + 11*m**2 - 11*m - 8*m**2. Give -7*f(i) - 3*s(i).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 1 = 3*x. Let u(n) = -4*n - 1 + 8*n**2 - 2 + 1 + 3*n**2. Is u(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95198*b - 16*b**2 - 95198*b.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67076914*j**2*n**3 + j**2*n + 1779*n - 1059 wrt n.\nAnswer: 402461484*j**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133569500, 267138997, 400708494, 534277991, 667847488?\nAnswer: 801416985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 195324797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5\/2 - 1277265*c**4 + 10218052*c**3 + 91962712*c**2 + 204361704*c + 143053232 = 0.\nAnswer: -2, 14, 2554522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -926418*n - 598356 wrt n.\nAnswer: -926418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6051.\nAnswer: 3, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.058 + -0.848. Let v = n - -34.79. Let d = v - 26.8. Round d to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (14 + -9)) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 22. Calculate the highest common factor of g and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/((-6)\/(-18)). Let p be ((-24)\/20)\/d*10\/(-4). Solve 4 = r - p*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24*(-2)\/6*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1571649 is divided by 24556?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5125240 (base 9) in base 6?\nAnswer: -134325443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.224 + -0.226. Let a = 3.45 + p. Let k = 5 + -3. What is the smallest value in -0.4, a, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.157? (a) 12 (b) -0.111 (c) -1\/4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95 by -3037.\nAnswer: -95\/3037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*o + 96 = 0. Is 24 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*g - 184 = 2*f, -4*g + 354 = 3*f. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from qnnn.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyeyylyyxy. What is prob of picking 3 y and 1 l?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/3 and -127\/86588082?\nAnswer: 86588082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395, -393, -391, -389, -387?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 516*o + 1034. Let t be i(-2). Solve -t*a + 11*a = 45 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hocqcssn. Give prob of sequence osnc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1527 - 4649 = -16*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2635*z + 2662*z = 1096254000. What is z rounded to the nearest one hundred thousand?\nAnswer: 40600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39, 111, 183, 255?\n\"Answer: 72*t - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -30*g - 16. Let t be j(-6). Let x be (3 + t\/(-6))\/(1\/(-3)). Suppose 17 = -4*q + x. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*4\/20 + -1. Suppose -26*b + 24*b + 54 = d. What is the remainder when 293 is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - f**2 + 3*f + 2. Let g be u(3). Let k = 44 - g. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39742027 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -12*g + 28\/5*g**5 - 16\/3*g**3 + 20*g**2 - 38 - 10*g**4. Factor j(q).\nAnswer: 4*(q - 1)**2*(q + 1)*(7*q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 505*h**3 + 2*h**2 + 2*h + 1. Let b be m(-1). What are the prime factors of (b\/(-16))\/3*2*7?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2. Let d(a) = 109*a - 15. Let i(s) = -217*s + 33. Let h(m) = -13*d(m) - 6*i(m). Calculate h(j(z)).\nAnswer: -230*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 290 divided by -5\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 11*h - 15*h = -24, 4*h - 27 = -5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (3 - -4 - -1343). Let u = -547 + w. Is 56 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**2 + 2 - 7*t**2 - 3*t**2 - 4*t**3 - t**2 to the form i*t**3 + b*t**2 + p + f*t and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 - 0.31. Let a = -25086 + 25063. What is the fourth biggest value in 3, m, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1497*a**5 + 2*a**3 + 399*a**2 + 5.\nAnswer: 89820*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1478709\nAnswer: 2\/1478709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4020*b**2 + 3058*b + 12. Let q(z) = -12060*z**2 + 9175*z + 33. Let a(o) = 4*q(o) - 11*u(o). What is the second derivative of a(n) wrt n?\nAnswer: -8040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-9)\/(-54) - 958\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from apax?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 + 2 - 2)*(0 + 0 - 1).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/7 (b) -4 (c) 1 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 259935.6938 - 899.3478. Let v = f + -259262. Let u = v - -226. Round u to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (8 - (12 + -4)). Suppose v = 11*d - 8*d - 2*w - 2054, -w = -2*d + 1370. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.10706 and -7114431170?\nAnswer: 7114431169.89294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 + 75. Calculate the remainder when m is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 0.1, 6, 0.4115 in decreasing order.\nAnswer: 6, 0.4115, 0.1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -274*m + 502*m - 5*m**2 - 272*m to b*m + u*m**2 + k and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -31*s**2 - 180*s + 248. Calculate g(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7037 or 7041?\nAnswer: 7037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -332, 0.1 in descending order.\nAnswer: 0.1, -2\/5, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.059 - 0.3.\nAnswer: -0.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 165*t + 30. Let x be w(-9). What is the units digit of (-9)\/(-12) - x\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -128, -156, -204, -278, -384, -528, -716?\n\"Answer: -n**3 - 4*n**2 - 9*n - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1364, 2358, 3352?\nAnswer: 4346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6679 = 29*w - 8546. Calculate the greatest common divisor of 21 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 + 7*c**2 - 4*c + 4. Let f(y) = -y**2 + y - 1. Determine -3*f(w) - n(w).\nAnswer: -2*w**3 - 4*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252 - 252 + 3*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/6 - 204325*d\/3 - 41748705625\/6 = 0?\nAnswer: -204325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*o**2 - o + 584?\nAnswer: 26*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.2 plus -7.5?\nAnswer: 19.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -52108*y - 3282803. Give o(-63).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1754939?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1112 (base 5) to base 9\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -56, 2\/17?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*u - 209*u = 2964 - 13944 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*h + 99. Let j be ((-9)\/4)\/(h\/88). Suppose -r + j - 1 = 0. Solve -g - 3*n - 11 = 0, -g - n - r = 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 23\/2. Suppose 76 = 5*g - 84. Let c = g + -222\/7. What is the second smallest value in b, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f. Let l(k) = -19*k. Calculate l(v(h)).\nAnswer: -19*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105105 + 0?\nAnswer: -105105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-five quarters of a tonne?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -173 in -174, 55, -14?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - 20*i**2 + 18*i - 25. Let k be (4 + (-14)\/5)*75\/6. Is u(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 106 = -k. Let o = -38 - k. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 8580?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.80139 rounded to two dps?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 - 13*c. Let g(n) = -n**3 - 13*n**2 - 26*n - 36. Let o be g(-11). Let x(v) = -5*v**2 - 39*v. Let f(s) = o*b(s) - 3*x(s). Factor f(p).\nAnswer: -p*(p - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*z = -888, 5*u = -z + 1053 + 57. Let a = u + -108. What is the highest common divisor of a and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 2. Let c(n) = -2*n - 3. Let j(f) = -4*c(f) - 7*w(f). Let a be j(7). Solve -4*h - 1 = -x, -a*h - x = 7 + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130633 + -338167. What is f rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.3 + -12. Let h = 1 + q. Let t = -0.1 - -0.2. Which is the closest to -0.1? (a) -5\/4 (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(77)*-3*-6)\/((sqrt(7) + sqrt(7) + 3*(sqrt(7) - (-2*sqrt(7) - sqrt(7))))*-2).\nAnswer: 18*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 55\nAnswer: -36\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 2. Let t(r) = -4*r - 30. What is 2*f(q) + t(q)?\nAnswer: -2*q - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 60155569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28759504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 48 = 5*b. Let d(y) = 32*y + 2. What is the remainder when d(1) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/3, -2\/7, 22227 in increasing order.\nAnswer: -5, -1\/3, -2\/7, 22227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1974 = 4*y - 3*g, -4*g - 602 - 1358 = 4*y. Let v be (9\/(-12))\/((-3)\/y). Let a = 218 + v. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.72 + -11.72. Put c, -1\/6, 18, -0.4 in descending order.\nAnswer: 18, -1\/6, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -217 + 633. Factor -a*z**4 - 4*z**2 + 428*z**4 + 5*z**5 + 3*z**5.\nAnswer: 4*z**2*(z + 1)**2*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2\/5 (c) -2\/3 (d) 0.2 (e) -1435\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-18))\/(6*(6\/24)\/1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -215*f + 1762. Let z be i(8). What is the highest common divisor of z and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 954\/39 - (-2)\/(-26)*(14 + -26 - -18)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -46190.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2 - 4*j - 5. Let r be 28\/13 - (264\/26 - 10). Let m(w) = 0*w + 4 + 3*w + 66*w**r - 63*w**2. Give 2*k(a) + 3*m(a).\nAnswer: 3*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2842 + 2841.958. Let l = 321.842 - 324. Let t = l + c. Is t at least as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6270 + -4315. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -141*w + 43 + 82*w + 20*w**2 - 173*w - 139.\nAnswer: 4*(w - 12)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 5*a**2 + 5. Let o(y) = 2*y**3 - y**2 + y + 1. Let c(m) = o(m) + v(m). Let j(t) = -2*t**3 + 5*t**2 - t - 5. Determine -5*c(k) - 6*j(k).\nAnswer: -3*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.06631\nAnswer: 0.013262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 515926 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2488.\nAnswer: 1\/2488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10*((-65)\/10 - -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/1*2\/(-10). Suppose -t + 12 - 4 = 2*o, 5*o + 2*t - 18 = 0. What is the closest to 0 in 1\/2, u, o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5123 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0.3, 3\/2, 3, 20, 2 in decreasing order.\nAnswer: 20, 3, 2, 3\/2, 0.3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*k = -100*k + 36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15 + -3 + (3 - 3). Let g = -4 + c. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1896? (a) 132 (b) 0.1 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6330426g in nanograms?\nAnswer: 633042600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a - 149 + 149.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6566 + -4155. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124982 (base 11) in base 12?\nAnswer: -95ab0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/70*-1)\/6*(-35)\/(-63).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-8)\/112)\/(2\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j, -a = 4*j + 20. Let y = 32 + a. Solve -y = -3*i - i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6244 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**6\/345 + k**5\/115 - k**4\/138 - 5*k. Factor t(d).\nAnswer: -2*d**2*(d - 1)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-7*(-2 + 1). Let x = -10 + s. Let z(t) = 3*t + 1. Calculate z(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.9836 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1850266021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from aajeo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3) + 1 + 6 - (3 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 13, n: 3}. What is prob of sequence nnn?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjjyqyqqfqjf. What is prob of picking 2 y and 2 f?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/44 and -7\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 4:17 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 2 - 1)\/1. Let g = v + 0. Put 2, -4, g in decreasing order.\nAnswer: 2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - j - 1. Let f(r) = 12*r**2 - 7. Determine f(v) - 5*l(v).\nAnswer: 7*v**2 + 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58.3 + -58. Which is the third biggest value? (a) q (b) 17 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5761536 minutes in microseconds?\nAnswer: 34569216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 86\nAnswer: 51.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10*5\/(15\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*q = -34403 + 79115 for q.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, p: 2, i: 1, a: 3, v: 4}. What is prob of sequence vvp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6235065 by 1905.\nAnswer: 3273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1077 - -4.0264. Round h to two dps.\nAnswer: 3.92","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 1. Let s(m) = -2*m - 1. Suppose 0*y = -y - 2. Let d(x) = y*s(x) + 5*j(x). Differentiate d(p) with respect to p.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31.83 - 32.53. Let n be ((-5)\/(-1) - 2)\/(-1). Let t be (5\/(-4))\/(n\/2). Are c and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**2 + 2*j**2 + j**2)*(5*j + 0*j - 3*j) + (5*j**2 + 3*j**2 + 5*j**2)*(4 - j - 4) in the form l*j**2 + d*j**3 + x*j + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 52375, -4 in ascending order.\nAnswer: -4, -3, 52375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 22*x - 843. Determine j(-42).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -1591*y**6\/6 + 650*y**3 + 1233. Find the third derivative of m(r) wrt r.\nAnswer: -95460*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1851178 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhhmmrmmrhm. Give prob of sequence mh.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16\/27 - -2\/27. Let i = 87 - 147. Let z = i - -55. Put h, z, 1 in descending order.\nAnswer: 1, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**3 - 5*k**2 + 29*k. Let c(n) = 2*n**3 - 3*n**2 + 15*n. Give -5*c(i) + 3*y(i).\nAnswer: -i**3 + 12*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(33) - sqrt(2112)*2)\/(sqrt(3) - (sqrt(15)*-2)\/sqrt(5)) + -1.\nAnswer: -5*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 19343539?\nAnswer: -3\/19343539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 92 = -m, 0 = 5431*m - 5429*m - 2*h + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34880 and 6180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-3))\/((-7)\/3). Let i = 472 + -471.9. Which is the nearest to i? (a) -6 (b) 2\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, q: 1, a: 1, h: 1, u: 3}. What is prob of picking 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -27260.068 rounded to the nearest one hundred?\nAnswer: -27300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in -3, 0, 2235.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15051, -120357, -406153, -962685, -1880199, -3248941, -5159157?\n\"Answer: -15041*h**3 + h**2 - 22*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 386*o + 764.\nAnswer: 2*(o + 2)*(o + 191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 9:31 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/24*(1 + -4 + -12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/18 - 280\/(-72)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-6 + -5) - (6 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 469401 and -0.05001456.\nAnswer: 469400.94998544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184945026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986149752.\nAnswer: 2, 3, 7, 37, 158647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {c: 1, l: 1, o: 1, i: 1, m: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5815 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*y - 192 = 359 + 99 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3425145*w**2 + 1581091*w wrt w.\nAnswer: -6850290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -107*d**3 + 854*d**2 - 1696*d - 32.\nAnswer: -(d - 4)**2*(107*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 0.14, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 314*l*x**5 - 18*l*x**4 + l*x**3 + 2*l*x**2 - 2*l*x - 38*x**2 + 12*x wrt x.\nAnswer: 18840*l*x**2 - 432*l*x + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 = -2*a, w + 1 = -2*a - 1. Suppose n + 0*n = w. Suppose 20 = -10*g + 50. Is g < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9597428?\nAnswer: 2, 43, 55799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -15*s - 8. Let p be q(9). Is p at least as big as -143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5}. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) -4 (b) -5 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10712\/7 + 1530. Suppose 2*x - 6*r + r - 2 = 0, -4*r - 34 = 2*x. Let m be 4\/(-66)*x\/(-6). Which is the second smallest value? (a) i (b) 2\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -135296.2.\nAnswer: 676481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v**2 - 5*v + 21. Let a(s) = 32*s**2 - 14*s + 62. Determine 5*a(h) - 14*n(h).\nAnswer: 6*h**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -130*l**4 + l**3 - 220*l**2 wrt l.\nAnswer: -3120*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 13824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2\/9 (b) 0.2 (c) 0.8 (d) -1\/4781\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, 69, 272, 657, 1284, 2213, 3504, 5217?\nAnswer: 7412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 184\/48 - 7)\/(54\/(-36))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 231\/(-24) - -8 - 8\/(-3 - 5)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (149 + (-8092)\/56)*9\/(162\/(-304)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**3 - u + 1. Let a be x(1). Let i be -3*(1 + 8\/(-3)). Suppose -3*g + 10 = -i. Solve a*t - g = 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 62*q - 440. Let a be g(-9). What is the greatest common factor of a and 2627?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84043323, 84043328, 84043335, 84043344, 84043355, 84043368?\nAnswer: 84043383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -18*z - 884. Let p = z + 159. List the prime factors of p.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -130 + 132. Suppose -5*w - 3*x = u, x + 6 = 2. What is the greatest common factor of w and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 28*l = 80. Suppose -53 = l*u - 45. Sort 18, u, -2, 3 in ascending order.\nAnswer: u, -2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.133 - -1.01. Let s = l + -3.877. Which is the nearest to 0.1? (a) 3 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -6. Let q be (-6)\/9 + 8\/3. Suppose -f - 10 = 5*w, w = -2*f - 3*w - 8. Solve 3*p - 7*p - q*a = 2, f = m*p - 3*a - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(91\/(-13) - -8). Let n(p) = -p**3 + 3*p**2 + 7*p - 10. Give n(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 11:33 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 - 3) - (-44 - -52 - 17) - 98?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(130)\/(sqrt(30)\/(sqrt(3) - sqrt(27))) + -1 + (((4 + sqrt(117))*2 - sqrt(117) - sqrt(117)) + sqrt(117) - sqrt(117))).\nAnswer: -45 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, x: 11}. Give prob of picking 1 x and 1 m.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 56265585 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 2*q**2 + 3. Let d(h) = 3163*h**4 + 10*h**3 + 20*h**2 - 4717. Let u(z) = d(z) - 10*f(z). Differentiate u(a) with respect to a.\nAnswer: 12652*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njijjijnijwn. Give prob of picking 2 i and 2 n.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (95\/5)\/(8 + -1) and 37\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-240)\/(-25))\/((-2)\/(-645)). Suppose -2*i + 5*i = -z. Let g = 1483 + i. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.079 + 0.079. Let q = 0.4 + 0. What is the closest to h in -0.5, q, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199, 239, 299, 379, 479, 599?\nAnswer: 739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3697*t + 3719*t - 7382*t - 2*t**4 - 2 - 52*t**2 as c + u*t**3 + r*t**4 + x*t**2 + d*t and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 2*p**4 + p**3 + 6 + 2*p**4 + p**4 - 6*p**4 + (0*p + 2*p**3 + 0*p)*(-2*p - 4 + 4) - 12*p**4 + 116*p**3 - 116*p**3.\nAnswer: -21*p**4 + p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -116436066, -232872132, -349308198, -465744264, -582180330, -698616396?\n\"Answer: -116436066*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + c - 2, -m + 5*c = 2*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -13\/2*u**2 - 1\/12*u**4 + 0 + 7\/3*u**3 + 8*u. What are the prime factors of x(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131648 + -1184830\/9. Factor -30*z - q*z**3 + 14\/3*z**2 + 54.\nAnswer: -2*(z - 9)**2*(z - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -120094637*a + 10124570 wrt a.\nAnswer: -120094637","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 776973?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8123 divided by -39.\nAnswer: -8123\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 3\/2, 0.24, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-30))\/((-1)\/(5\/(-7)))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -6. Let z be (-8)\/(-10) + (-202)\/30*-3. Let u be 138\/(-42) - (-6)\/z. Which is the nearest to u? (a) 0 (b) -1\/9 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*p + 6, l - 6 = -2*l + p. What is the lowest common multiple of (28\/(-12) + l)*-3 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - 78\/15)\/((-2)\/(-30)). Let u(p) = -6*p**3 - 20*p**2 - 3*p + 9. Calculate u(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 - 18*p**2 + 15*p + 14. What is t(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3076997*b**2 + 6*b + 3. Let z be t(-1). Round z to the nearest 100000.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from klkkfbkfkfrkkkkkl.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -6 + -39 + 2 + -1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10174 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1181, 3, 122, -21 in decreasing order.\nAnswer: 122, 3, -2, -21, -1181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 714310, 1428625, 2142940, 2857255, 3571570?\n\"Answer: 714315*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzppcztzizszttszzt. What is prob of sequence cp?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.508 - 9.808. Which is the smallest value? (a) 0.2 (b) q (c) -37.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 + 7*x - 10. Let l(j) = -7*j**2 - 16*j + 20. Calculate 5*g(v) + 2*l(v).\nAnswer: v**2 + 3*v - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 2*p + 4, 3*y = 2*p - 0*p + 26. Let q be (-6)\/(-2) - 3\/y*-647994. What is q rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 e when three letters picked without replacement from {g: 1, e: 1, q: 1, x: 1, z: 1, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**3\/3 + 2*y + 2. Let z(a) be the third derivative of -23*a**5\/20 - 13*a**2. What is z(x(l))?\nAnswer: -276*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -10*p + 113. Let o be i(11). Let q(s) = 3*s + 25. Let b be q(-7). Solve -a + 2*y = 3*y + 9, b*a + o*y + 31 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.509627 rounded to three dps?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -85, -9, 1, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 231448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190173, 190120, 190063, 190002, 189937, 189868?\nAnswer: 189795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4837074.\nAnswer: 2, 3, 11, 83, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 1 + 7. Let d be (-4)\/(-1)*(-30)\/b. Let z = 0 + d. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from uulwltllwa?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -17, -1.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*v + v - 15*v)*(-6 + 12 - 1) to q*v + m and give q.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -j - m - 3, 2*j = -4*m + 6. Suppose -2*v - 1187 - 1551 = -j*n, -2722 = -3*n - 2*v. What is the greatest common factor of n and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 237\/8? (a) 0.064 (b) 6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/16*8*15\/90.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*z**2 + z**2 + 17*z**2 - 30*z - 6*z - 16*z as a + q*z**2 + k*z and give k.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.095629 rounded to 4 decimal places?\nAnswer: 0.0956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(2*(sqrt(4212) + sqrt(4212)*-2))\/((-1*sqrt(16) - sqrt(4)) + 1*sqrt(4)*-1) + 4)*-1)**2.\nAnswer: 108*sqrt(13) + 9541\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 18, 30, 46, 66, 90?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 30*f**3 + f - 2. Let o = 7970 + -7969. Give u(o).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -5\/4*v**4 - 1\/12*v**5 - 25\/6*v**3 + 0*v + 105*v**2 + 0. Factor c(x).\nAnswer: -5*(x + 1)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 1. Let z(l) = 0 - l + 3 - n. Let t(h) = -h**2 - 4*h - 2. Suppose 0 = -2*b - b + 6. What is b*z(s) - t(s)?\nAnswer: s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 5. Suppose 2 = n*o - 4. Is (o - -1)*6\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4191533.8 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(66) + sqrt(66))\/sqrt(6) + 1*sqrt(11)*-1 - (-2 + (sqrt(88)\/sqrt(2))**2 + -3).\nAnswer: -39 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 at most 10983\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(-3)*t)\/t)\/(t*t**(-1)))**(2\/3))**(9\/7) assuming t is positive.\nAnswer: t**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-225)\/(-26) - 16\/104 and ((-18 + 1)*1)\/(22\/(-4)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 8, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5343*t + 18495. Let b(w) = 2*w + 9. What is -14385*b(h) + 7*l(h)?\nAnswer: 8631*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111110110 (base 2) in base 12?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -318000*p. Let g be a(-5). Round g to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*179582\nAnswer: -35916.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*f + 115*f - 10 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 966 - 355. Let v = -415 + k. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.157 + -0.157. What is the biggest value in 1, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 - 5*t**4 - 12*t**4 + t**2 + t**3 + 2*t**4 as n*t**4 + u + f*t**3 + w*t + y*t**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-10 + 1 - (-327 - -321))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4c23 (base 16) to base 8\nAnswer: -46043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.66 - 0.16. Sort i, 5, -4 in decreasing order.\nAnswer: 5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47\/(-3))\/(287\/(-123)) + -7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -901, -1, -8 in decreasing order.\nAnswer: 2, -1, -8, -901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2862 = 198*l + 120*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1581423 and 19479?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48073690?\nAnswer: 2, 5, 7, 359, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/33528 and -41\/4?\nAnswer: 33528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - q + 5 = 0, -j - 3*q + 8*q + 23 = 0. Solve 0 = 4*k - j*k + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -73, -111, -149, -187?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j - 84 = -2*x, -210 = 5*j + 5*x. Suppose 2*p - 648 = -4*h + 256, -h + 4*p = -217. Let v = j + h. What are the prime factors of v?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 20. What is the derivative of 0*a**3 - k + 9*a**3 - 2 + 0 wrt a?\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/4)\/((-6)\/(-12)). Let q = -10 - v. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from {r: 2, l: 9, c: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**3 + 4*d**2 + 5*d - 14. Let n be c(5). Let g = n + -464. List the prime factors of g.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/3 of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110000010011 - 10111101?\nAnswer: -100110011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1012303 and -10\/1407.\nAnswer: 21258363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4263 (base 13) in base 2?\nAnswer: 10001111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1066 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2606071*o - 698. Let h be q(38). What is h rounded to the nearest 1000000?\nAnswer: 99000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1543, 1, 2, 12, -1, -15 in increasing order.\nAnswer: -15, -1, 1, 2, 12, 1543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187152340 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -a - 4. Do 24 and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -102000121021 (base 3) to base 6\nAnswer: -4352224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*w**2 + 22*w**2 - 61*w**2)*(-2 + 3 - 9).\nAnswer: 416*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, c: 6, v: 5, b: 2, l: 1}. What is prob of picking 1 c, 1 v, and 2 b?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1210\/117 at least as big as -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + (2 - 1) + (-341 - -331).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 7 - (21 + -15)) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -14. Let m = d + 3. Let t be 9 + 1 - (2 - (-2 - 1)). Sort 1, t, m.\nAnswer: m, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/9 of a week in minutes?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5809 divide 1132158509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 3b33988?\nAnswer: 3b33986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 213*o - 1228. Let i be q(6). Solve -i = 5*p - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5610 - 12798 = 417*n - 5898 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85869 and 551.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 8 = -10*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y - y - 2*y)*(3 - 20 - 3) to u*y + v and give u.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 80735, 80740, 80745, 80750?\n\"Answer: 5*b + 80730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*u**4 - 455*u**4 - 96*u**4 - 59*u**4 - 3*u - 87*u**4 + 251*u**2 wrt u?\nAnswer: -16392*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38454, 38447, 38428, 38391, 38330, 38239?\nAnswer: 38112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6120 divided by -510?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, y: 1, j: 3}. What is prob of sequence jj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 11*p**2 - 12. Let n be q(-11). Let o = n + 17. What is the smallest common multiple of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 37966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 0 - 2 - -4. Let h be (-1 + m)*15\/25. Let v = 0.456 + 0.544. Which is the closest to -2? (a) -2\/17 (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 25 = 22. Let o = 740 - 741. Sort y, 4, o, 28.\nAnswer: y, o, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 7*i**2 + 8*i + 4. Let r be c(8). Suppose -5*y + 3*o = -874, 518 + 335 = 5*y + r*o. Calculate the remainder when y is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22054, -46410, -70766, -95122, -119478?\nAnswer: -143834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -701*f**3 - 706*f**3 - 692*f**3 + 2081*f**3.\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -23) + 3 + 4 + -3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46764691.9999381 + -46764698. Let w = -6 - b. Round w to six decimal places.\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y + 15 = -16*y. Suppose -4*h - y = -h, -5*h - 61 = -4*z. Let x be (-26)\/(-6) - (-12)\/18. Solve -4*r - 4*f - 11 = 5, x*f + z = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2784170913?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 10247 = -362*g - 23530 for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -6 (c) 6 (d) -12 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 0*r**3 - 1\/12*r**5 + 17\/12*r - 1\/2 + 1\/3*r**4 - 7\/6*r**2 = 0?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3308042752?\nAnswer: 2, 7, 157, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494 = 3*y + 1216. Calculate the lowest common multiple of 6 and y\/(-90) + (-2)\/(0 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 4*s**5\/15 - 43*s**4\/12 + 29*s**3\/9 + 5*s**2\/3 + 79. What is d in f(d) = 0?\nAnswer: -1\/4, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 0*v + 2*v + 8, -4*t + 3*v + 17 = 0. Suppose 9 = 5*a - 3*u, 3 = -t*u - 12. Let w be ((-6)\/(-4) - 1)*4. Solve -x + w - 4 = a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -59f0 + -d?\nAnswer: -59fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -739595.\nAnswer: 2\/739595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k + 230 = -6*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93 + 3205765.\nAnswer: 3205672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from iimdiemiidippiepeip?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307152046 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - 1721?\nAnswer: -1732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v*v\/v**(-4)*v*v*v)\/v*v)\/v)\/v)\/v**(1\/17) assuming v is positive.\nAnswer: v**(135\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, -0.4, -0.6, 0.4 in increasing order.\nAnswer: -2, -0.6, -0.4, 0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = -3*l. Let i(x) = 2*x**2 - 6*x + 4. Let f be i(l). Which is greater: f or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 695019 and 3?\nAnswer: 695019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 5*m - 7. Let d be o(-6). Let y be (-2 - d) + (-1 - -2). Let t be -1*3 + -3 + 5. Which is smaller: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 7:50 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**10*(v*(v**(-2\/67)*v*v)\/v*v)\/v)**14 assuming v is positive.\nAnswer: v**(12166\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73918 or -4\/7?\nAnswer: -73918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, 12, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142 and 2201?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 75*l - 10. Let j(g) = -1275*g + 170. Let w(q) = -35*a(q) - 2*j(q). What is the units digit of w(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 231 + -152. Suppose 5*q - j = 5*n - 2*n, -2*q + 34 = -2*n. Suppose 3*x - x + 5 = 3*h, -q = -4*x - 2*h. Solve -x = u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 0.4 (b) 3\/847 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2*o = -0*w - 59 + 178, 2563 = -w + 613*o for w.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9088, -72543, -244736, -580027, -1132776?\nAnswer: -1957343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - r = 17, -2*r - 22 = -28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c + 5*c - 7*c + c**2 + 7*c - 60 - 5*c**3 + 7*c in the form s*c**3 + q*c**2 + g + p*c and give g.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-1)\/28)*(50 + (-17248)\/343).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*z - z**2 - 19*z - 19*z - 21*z - 20*z.\nAnswer: -z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 10*u**2 - 23*u - 12. Let p be d(12). Which is the biggest value? (a) p (b) -0.05 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/7, -2, 5, -0.026?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a gram in milligrams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2186.\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*((-1)\/(-2))\/((-13)\/(-26)). Let q(z) = 3 - 10 - 11*z + m*z. Give q(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2275336.\nAnswer: 2, 7, 41, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2508 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q**2 + 0*q**2 + 3*q**2)*(2*q - q - 5*q) - 277*q**2 - 1021*q**3 + 3881*q**2 + 1023*q**3 to l*q**3 + s*q**2 + f*q + w and give s.\nAnswer: 3604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280 = 2*b + 3*b - b - 4*p, 7*b + 10*b - p = 1238 for b.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2085 = 4*s + 3*z, -14*s + 18*s - 2083 = -5*z. What is the least common multiple of s and 72?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 1008*q + 993*q - 135, -288 = -4*o - 3*q for o.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, 1901, -1, -0.6, -3\/4, 0?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 - 2*y. Suppose 6*w - 32 = 10. Suppose 2*m - 4*l + 8 = 0, -w*l + 5*l + 10 = 2*m. Determine f(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3526.460434 rounded to one dp?\nAnswer: -3526.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**8\/672 + p**7\/630 + p**6\/72 - p**5\/30 + p**4\/12 + 2*p**2. Let m(q) be the second derivative of t(q). Factor m(j).\nAnswer: -2*(j - 1)*(j + 1)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (41\/2)\/(4\/8). Suppose -v + q = 12. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664421.\nAnswer: 664421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -52, -0.06, -5, -4\/11?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-13))\/(58*(-358)\/(-67483)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -484, -1150, -2152, -3658, -5836, -8854?\nAnswer: -12880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 3\/8, 5, 1639, 2 in increasing order.\nAnswer: 3\/8, 2, 5, 24, 1639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396260 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 521*p\/5 - 954\/5.\nAnswer: (p + 106)*(5*p - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*d + 155, -v + 3*v + 5*d - 70 = 0. What is the remainder when v is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 3*h**2 + 2. Let g be t(-1). Which is the second smallest value? (a) 1\/12 (b) g (c) 21 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 4. Calculate the remainder when 17 is divided by y(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1867478?\nAnswer: 2, 933739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 247681839?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14324533025 less than -5?\nAnswer: -14324533030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2*sqrt(132))\/sqrt(12))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 44. Let q be d(0). Let o(t) = -6*t - 13. Let i be o(9). Let b = q - i. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + u. Let h(y) = -40*y**2 + 19*y. Let j(b) = -h(b) + 2*s(b). Let g(d) = -12*d**2 + 6*d. Give 17*g(c) + 6*j(c).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 665623.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 + -110. Suppose t*w - 6*w = -176. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 506 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s + 16 - 8 - 3 - 4.\nAnswer: 13*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 11. Let a be (2 + o)*9\/2. Let h(n) = -8*n**3 + 13*n**2 + 5. Let d(c) = -3*c**2 + 2*c**3 - 2 - 2 + 3 + 0. Calculate a*d(j) - 2*h(j).\nAnswer: -2*j**3 + j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -774, 16, 17 in decreasing order.\nAnswer: 17, 16, -774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(3\/8)*f\/(f*f\/(f\/(f\/((f**21\/f)\/f))))*((f**(-7)\/f)\/f)**(3\/8))**(-2) assuming f is positive.\nAnswer: f**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 + 13*h**2 + 19*h + 12. Calculate the remainder when 893 is divided by k(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500 a factor of 116173500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 - 11*w + 121. What are the prime factors of p(25)?\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103719 is divided by 459?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**9\/o**(1\/14))\/(o*o*o**8\/o*o*o\/o**6))**(-16\/9) assuming o is positive.\nAnswer: o**(-440\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 26 = 2. Let i(u) = u - 14. Let h(c) = c - 13. Let n(d) = -6*h(d) + 5*i(d). Let a be n(z). Calculate the greatest common factor of 112 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - (-21 + -15) - (-810)\/402.\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -3768?\nAnswer: 3766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -146\/3 + 48. What is the third smallest value in c, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65000 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + 35*t + 13. Let l = 1459 + -1476. Calculate v(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 + 2*w**5 + 0*w**5 - 431*w**4 + 431*w**4 - 47*w**5 + (-2*w + 2*w - w)*(-3*w**3 + 3*w**3 - 2*w**4).\nAnswer: -44*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10*39\/(-13)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 g, and 1 v when four letters picked without replacement from {y: 4, g: 4, v: 4, p: 2, r: 4, n: 2}?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3 - 32*x**2 + 78*x = 0 for x.\nAnswer: 0, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - t. Suppose -4*r - r = t. Solve a - 1 - 4 = r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*d - 4*r, -4*d + 3*r + 27 + 1 = 0. Differentiate 5*o**d + 14*o**4 - 5*o**4 - 6 with respect to o.\nAnswer: 56*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 796 - -264953536065.\nAnswer: 264953536861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d*d\/d**(3\/13)*d))\/d)*d)\/(d*d\/d**(5\/6)))\/((d**(-2\/3)*d)\/d)**(-1\/46) assuming d is positive.\nAnswer: d**(6437\/1794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 20*o + o**3 + 9*o**2 + 18*o - 1 - 29*o as l*o**2 + b*o + q + x*o**3 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001439 rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2, -0.1, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 + 1.6. Let y = -1304\/45 + 146\/5. What is the closest to k in y, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27615 times -0.73\nAnswer: -20158.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15967 - 175639\/11. Which is the smallest value? (a) u (b) -1\/5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17581761.\nAnswer: 3, 1953529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 + -65. Suppose 0*g - 3*g = 2*h - 2, -4*h + b*g = -4. Solve -4 = -5*m + h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 4*t**2 - 5*t - 2. Let l be a(-3). Let b be 11\/10 + (-2)\/l. Suppose -12*i + 50 = 13*i. Is i > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 0 + (3 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5989067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 35887.\nAnswer: -2\/35887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.33 + -0.03. Let s be (-3 + -1)\/(3\/(-3)). Let j be 62\/22 + s\/22. Which is the biggest value? (a) j (b) 1\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8146741 is divided by 905193?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 268, 5, -5, -1 in decreasing order.\nAnswer: 268, 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/2))**(4\/11) assuming g is positive.\nAnswer: g**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 352741\/18 + -19603. Calculate the common denominator of q and -31\/39.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 b when three letters picked without replacement from bqimfbqh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05978 and -5151877643.\nAnswer: -5151877642.94022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.08, 62, -4, 4\/3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -71*d + 81*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -419, -417, -415?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-332)\/(-3984) - (519\/180 - 4)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*-1 + -2 + 2 - (1 + sqrt(325) + 5 - (-3 + 1*sqrt(325) + sqrt(325))))**2 + 5.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -59*h**2. Let f(d) = -4*d**2 + 132. Give f(t(l)).\nAnswer: -13924*l**4 + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 5*m + 2. Let j = 189 - 101. Let u = 85 - j. Suppose -5*q + 0*q - 70 = 0. Let g(s) = 4*s**2 + 24*s - 10. Determine q*w(i) + u*g(i).\nAnswer: 2*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*t**3 - 209*t**3 - 288*t**3 + 703*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 334947749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15161053 and 6?\nAnswer: 90966318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111011100011101110 (base 2) to base 12.\nAnswer: 62b83a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1257311 (base 8) to base 12.\nAnswer: 14b809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2753, 16316, 38915, 70544, 111197?\nAnswer: 160868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 7*g - 2*a = -16, -2 = -g - a. What is the nearest to -1 in 2, g, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -162 + 159. What is the tens digit of (-80)\/(-3) - n*1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**2 - 9*t + 50. Let l be x(16). Let y = l + -504. What are the prime factors of y?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -546?\nAnswer: -545.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1090 and 3199.\nAnswer: 3486910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -1) + -321 + 309?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6372 - 190?\nAnswer: -6562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2305*l*n**2*y - 3*l*n*y + l*n - 2*n**2*y + 154*n*y - y wrt n.\nAnswer: -4610*l*y - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-27)*84\/140*(-5)\/(-1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -3*f + 24, -15283 + 15310 = -d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q + 1. Let w(y) = -10*y - 1. Let f(d) = -15*d - 1. Let h(o) = 5*f(o) - 7*w(o). Determine -3*h(n) + 8*t(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7254 - 7237. Suppose 2*p - 4*x - 44 = 0, -2*p = p + 5*x - 110. What is the remainder when p is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*g - 2*z - 22, -5*g + 66 = 4*z. Let d = 22 + g. What is the remainder when d is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -49944085000640?\nAnswer: -49944085000643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - -6. Let h = 10 - m. Let y = 13\/33 - 8\/11. Put h, y, -0.2 in ascending order.\nAnswer: h, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351716?\nAnswer: 2, 23, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/(5\/(-50)). Suppose -k = -1 + 4, -106 = -4*g + 2*k. What is the greatest common factor of f and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/67 or 1?\nAnswer: 10\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4246584 divided by -2123292.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 736 and 197568.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65388196, 65388194, 65388192?\nAnswer: 65388190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7*z + 10 = 0, -3*z = 3*x - 150. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(6\/7)*a**(-2\/7)*a\/a**0*a**(1\/8)*a assuming a is positive.\nAnswer: a**(151\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15882*j + 7942*j + 7942*j + 9*h = -36, 4*j + 4*h + 16 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13988 - 6415*a + 6413*a - 1253)*(-5*a**2 + 5*a**2 - 2*a**2) to the form p*a**3 + j*a**2 + y*a + v and give j.\nAnswer: 30482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 5:17 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 43*s**3 + 299*s**2 - 9*s + 35. Give o(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 90339263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -23*j**3 - 37*j + 1. Suppose 242 = -3*h + 239. Let k(w) = 2*w**3 + w**2 + w - 1. Let a(i) = h*k(i) - n(i). Find the third derivative of a(b) wrt b.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from wxrnxrxnyxxxr?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l + 6. Let t(k) = -2*k - 7. Let d be t(-8). Suppose -3*s + 0*s = 3*p - 90, 0 = -3*p + d. Calculate the lowest common multiple of s and m(-3).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 e when four letters picked without replacement from euueueujeee.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (429\/(-12))\/((-1)\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-99500 - 0)\/(7\/(-5600)*-8). Round o to the nearest one hundred thousand.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 231315*x**2 - 31*x + 5 wrt x?\nAnswer: 462630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) 6\/31 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-1)\/((-65)\/((-2730)\/(-112)))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + -5*sqrt(704)*-1 + ((0 + sqrt(704))*-5 - (1 + (sqrt(704)*-2 - sqrt(704)) - sqrt(704))))**2.\nAnswer: 128*sqrt(11) + 11268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 849 (base 13) to base 5.\nAnswer: 21123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2470 and 390?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 44 + -81 + 19 + (2 - 17)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 59298*r + 1660320. Calculate o(-28).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -1.6?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 20 = -6. Let j(a) = -3*a + 1. Determine j(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.800351989 plus 945.7?\nAnswer: 977.500351989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 + -6 - -9) + -7. Solve -2*p = -5*s + 17, r*s = 2*p - 5*p + 37 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:37 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -67597 and -608380\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*t - 585*t + 256*t - 17822 = 92716 for t.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b + 0*b - 2*b)*(3 + 1 - 2) - 13 + 13 - 8*b + b + 2*b - 4*b + 1)*(-7*b**4 - 12 + 12).\nAnswer: 105*b**5 - 7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 155, 156, 157, 158, 159?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(143)*-3)\/(sqrt(121)\/(2*sqrt(11))).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 157007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 24*y**3 + 2*y**2 - 2*y + 1. Let z(s) = s**3 + 7*s**2 + 5*s + 7. Let i be z(-5). Let p = 79 - i. What is the remainder when p is divided by m(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -837*t**2 + 22*t + 9. Let n be c(2). Which is smaller: n or -3297?\nAnswer: -3297","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 10:59 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39, 145, 307, 513, 751, 1009, 1275?\n\"Answer: -2*c**3 + 40*c**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/15287 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 161 - 13077?\nAnswer: -12b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13415 divided by -4\nAnswer: -13415\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13971026 to the power of 1\/3, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 3. Let u(o) = 2*o + 17. Let v(k) be the second derivative of k**3\/6 + 9*k**2\/2 + k. Let a(d) = 2*u(d) - 5*v(d). Let f be a(-8). What is q(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2496, 4989, 7470, 9933, 12372, 14781?\nAnswer: 17154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from {c: 5, u: 6, f: 1, a: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.77 + 6.84. Let l = -3.17 + c. What is the third biggest value in -7\/2, 2, l?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**2 + 183*d - 78. Calculate b(-37).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 380979840 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 111, 9, 4 in ascending order.\nAnswer: 2, 3, 4, 9, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4179588 from 242038.\nAnswer: -3937550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2803 + 2811. Solve r*s = 10*s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16182051*f**4*n + 19*f*n - 2*f - n + 1894 wrt f.\nAnswer: 194184612*f**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-1*sqrt(1053)*-4 - sqrt(1053) - (4 + -1*sqrt(1053))) - (-1 + (sqrt(1053) - 5*(2*sqrt(1053) - sqrt(1053))) + -3))*6)**2.\nAnswer: -31104*sqrt(13) + 611712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**4 + 3*b**3*l**3 - 2*b**3*l**2*s - 3*b**2*l**3*s - 16*b**2*l + b*s wrt b.\nAnswer: -24*b + 18*l**3 - 12*l**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 + 4*i + 3. Let p(r) = -r**2 - r. Let z(h) = -f(h) + 2*p(h). Let t be z(7). Let g(n) = -n**3 + 5*n**2 - n - 1. List the prime factors of g(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 0.07679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68628.\nAnswer: 2, 3, 7, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 91029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2458509 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1140835200.\nAnswer: 2, 3, 5, 151, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 363.250058548 + -363.25. What is l rounded to 7 decimal places?\nAnswer: 0.0000585","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**14\/(o*o**(9\/2)*o) assuming o is positive.\nAnswer: o**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.91 + 0.09. Let f = 13.88 + -18.88. What is the second biggest value in 3\/7, f, 2\/7, x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -550*v - 12627. Give u(-23).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 297102 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 31 - (8 - 67 - -59)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (14 - (2 + 11 - 5)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 237097 less than 237097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 30 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*c**3 + 22*c**3 + 4*c**4 + 31*c**3 - 2*c + 28*c**3 - 1 - 2*c**2 to the form k + g*c + z*c**4 + a*c**3 + y*c**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*o. Let a be 3 - (4 - (o + 3)). Differentiate a + 5*g**2 + 5 - 2 with respect to g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 10:15 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -2*a**7\/105 + a**6\/2 + 52*a**5\/15 + 6*a**4 - 76*a**2. Factor n(q).\nAnswer: -4*q*(q - 18)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15230? (a) 3 (b) 2\/15 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 9*q - h = 0, -5*h = -10. Suppose -f + 2 = 0, -3*f = 3*s - q*f - 68. Let j = 2 + 14. What is the lowest common multiple of s and j?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -56, -125, -242, -419, -668, -1001?\nAnswer: -1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-28))\/((-1)\/(-5)*80\/32). What is the closest to 3\/8 in 6, -7, 2\/17, n?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3120 - 3120 + 2615*r**2 + 2573*r**2 + 943*r**2 to d + v*r**2 + c*r and give v.\nAnswer: 6131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14321, 14311, 14289, 14249, 14185, 14091?\n\"Answer: -b**3 - 3*b + 14325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*p**2 - 10*p**2 + 3*p**3 - 8*p**2 + 2*p - 9*p**3 + 18*p**2 to t*p**2 + v*p + l + w*p**3 and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1677 = -5*j + 7*s - 5*s, -2*s - 666 = -2*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*s**3 - 10*s - 4 - s + s**2 - 5*s**4 + 3*s**4 + 3*s + 7*s as a*s**2 + u + r*s + x*s**4 + j*s**3 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -9, -18, -33?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + (sqrt(88) - 2*sqrt(88) - sqrt(88)) + sqrt(88))*-3 + (1*sqrt(88) - sqrt(88))*5)\/((6*(sqrt(80) - sqrt(80)*-1))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18093 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 57\/6*82650\/52345\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -2*t + 5*t**3 - 1\/12*t**4 + 10*t**2 - 11\/30*t**5 + 0. Differentiate g(r) with respect to r.\nAnswer: -44*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 3. Let m be f(0). Suppose 0*j + 24 = m*j. Calculate the greatest common divisor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - r - 6, 0 = 6*g - g + 3*r - 24. Let c(u) = -6*u**g + 1 - 2 - 2*u + 7*u**3. Calculate c(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47075471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -295756 + 295760. Let n = 0.3 - 0.2. Which is the nearest to x? (a) n (b) -3\/4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x - 2*x**2 + 5*x**2 + 3*x.\nAnswer: 3*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -401 + 597. Let y = -2546\/13 + k. Which is the nearest to -7? (a) 0.5 (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 0 + -2 + -2. Suppose -4*r - u + 3621 = -232, 0 = 2*r + u - 1929. Let t(n) = -7*n**3 + r*n**2 + n**3 - 961*n**2. Determine t(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-9)\/6 - 9\/6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/814 and -63\/3586.\nAnswer: 132682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 8:51 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t + 20, 4*y + 3*t = -4. Let d = y - 0. Suppose 25 = d*u - m, 0 = 3*m + 14 + 1. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**3*y**2 + 5*t**3*y - 834696*t**2*y + 1246121*t*y**5 wrt y?\nAnswer: -2*t**3 + 24922420*t*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1073*d**2 - 1946*d - 11737930?\nAnswer: 2146*d - 1946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/5717481 and 77\/4.\nAnswer: 22869924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x + 2 + 3*x + 5.\nAnswer: -5*x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -275, 1, -4, -3\/5 in increasing order.\nAnswer: -275, -4, -3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4\/4 - 77*u**3 + 1487*u**2\/4 + 2129*u - 2424 = 0. What is u?\nAnswer: -4, 1, 8, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16071?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 17605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8490932*x + 16372139?\nAnswer: -8490932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, p: 2, d: 5, f: 1, i: 3}. Give prob of sequence dio.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 + -31.271247.\nAnswer: -31.201247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7709 - -7771. What is the remainder when 766 is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r)**(-1\/21)\/(r**(-2\/3)*r)**(17\/4) assuming r is positive.\nAnswer: r**(-127\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 23*a + 7 = -25*a, -f + 29 = -4*a. Factor -3\/2*o**3 - 1\/2*o**f + 0*o - 5\/2*o**4 + 0 + 9\/2*o**2.\nAnswer: -o**2*(o - 1)*(o + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: a2 (base 14) to base 6\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -499*a + 2148. Calculate the remainder when 14894 is divided by p(4).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -403 (base 9) to base 6.\nAnswer: -1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 22836.5.\nAnswer: -22836.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 - 155 - 51 - 145)*((3*g + 3*g - 5*g)*(-2*g - g + 2*g) - 3*g**2 - 2*g**2 + 4*g**2 + 2 - g**2 - 2).\nAnswer: 888*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + (-5 - -2) + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 467323621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111411 + -2?\nAnswer: 111404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2768261917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -462*z - 31. Let i be 2\/(-10) + 696\/(-120). Is w(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**3\/3 + o**2\/2 + 3*o + 1. Let y be 4*(4 + -1)\/6. Let c = -2 + y. What is s(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*n + 889*n - 198*n.\nAnswer: 807*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9568 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 5. Let f(g) = -2. Let q be 14\/63 - (-112)\/(-18). Let r = -2 - q. Suppose -u = 2*u + 5*m + 31, 3*u + r*m = -26. Calculate u*c(h) - 5*f(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 3)*(0*y - 7*y - 3*y) + (23*y - 228 + 228)*(0 + 0 + 2) in the form d + f*y and give f.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -25*t**3 - 10*t**2 - 20*t - 7. What is the units digit of k(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w\/(w\/w**0))))\/w)\/w**(1\/7))**(-1\/15) assuming w is positive.\nAnswer: w**(8\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = -0*c + 4*c. Let h be c\/(-5) - (-2)\/5. Solve -21 = 4*q - h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(-2*(sqrt(9) - sqrt(144))))**2.\nAnswer: 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(((j\/(j*j*j*j**(1\/4))*j)\/j)\/j*j))\/j*j)**22)**(-13))**(-23) assuming j is positive.\nAnswer: j**(42757\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2616036?\nAnswer: 2, 3, 218003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = l - 18, -3*h = 5*l - 161 + 99. Suppose 403 = 5*r + 2*n, -18 = -5*n + 2. What is the remainder when r is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60779497 is divided by 4929?\nAnswer: 4927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116883734 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 52*k = 140. Let o(w) be the second derivative of -3\/10*w**5 + 1\/2*w**2 + 0 + 2*w + 0*w**k + 0*w**3. Find the first derivative of o(a) wrt a.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3537581 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20842?\nAnswer: 2, 17, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tktt when four letters picked without replacement from tkooookoktoootooko?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 282 + -177. Suppose -15*k + 12*k + j = 0. Let u = 67 - -108. What is the highest common factor of k and u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(10\/7)*j**(-4\/3))\/(j**(1\/12)*j**(-1)*j) assuming j is positive.\nAnswer: j**(1\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 415*t**2 + 28*t + 238. What is the thousands digit of f(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - -63) + -1 + 4 - 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*(-165)\/110.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*q + 2*q - 36, k - 5*q + 9 = 0. Let t = -5 + k. Let f(v) = 2*v - 2. Let x(y) = y. What is t*f(n) - 4*x(n)?\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - h - 1 - 12, k + 1 = 3*h. Solve -4*s + 24 = k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o. Suppose 103 = 50*z - 158 + 11. Let j(l) = -6*l**3 + 4*l. Determine z*v(r) + j(r).\nAnswer: -6*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 466*m - 3096. What is n(7)?\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 42444607 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -286059?\nAnswer: 286064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 6*n**2 + 8*n + 1. Calculate f(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8812?\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31954 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -998020, -1996040, -2994060?\nAnswer: -3992080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12655 - -12652. Let x(s) = -27 + 27 - 11*s. Let i(h) = 76*h. Determine b*i(j) - 20*x(j).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2759\/9048 - 5\/377. Let s(c) be the second derivative of 3\/80*c**5 + 0 - 1\/4*c**2 - 1\/6*c**4 + p*c**3 - 2*c. Factor s(j).\nAnswer: (j - 1)**2*(3*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/5018 and -29\/10596?\nAnswer: 26585364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*d**5 - 268*d**2?\nAnswer: -5520*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70324959.\nAnswer: 3, 4729, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 7*j**2 - 9*j - 2. Let x = -13100 + 13105. What is y(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*x - 34, r + r - 3*x = 24. Let o be 19\/7 + (-2)\/(-7). What is the units digit of (14\/r + -1)*o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18412 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*n - o, n = -79*o + 84*o + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.961176 meters?\nAnswer: 96.1176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 520008 = 2*r + 2*r, 0 = -4*r - 8. What is g rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2778 - -3921. Suppose 0 = -4*c + b - 155. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2420687, -4841373, -7262059, -9682745, -12103431, -14524117?\n\"Answer: -2420686*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/2653 and -9\/112.\nAnswer: 42448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5 - 21*p**4 - 18*p**3 + 150*p**2 - 177*p + 63 = 0 for p.\nAnswer: -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 49145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 + 63. Suppose v + 64 = 7*j. Let k(n) = 12*n - 21*n + j*n. Give k(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 29*j**2 - 130*j - 95. Is i(17) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 2*k**2 + 2*k + 2. Let l be t(-2). Let y be (-48)\/(-28) - l\/7. Let j(u) = 2*u - 2. Let o be j(y). Solve -9 = r + o*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or -666?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48667 and 473613?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9971 and 130.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1630.056 years?\nAnswer: 1.630056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 663, 3\/7, 125?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.114738?\nAnswer: 0.0114738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 11:25 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1587, 1609, 1633, 1659, 1687?\nAnswer: 1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*q - 22*q**2 - 97*q.\nAnswer: -22*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/27*-3*(-3)\/2*-9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 16 = 2*y, -5*a + 38 = -5*y - 32. Let t(f) = f**2 - f - 2. Let b be t(4). Is b <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/10)\/(0 + (-3)\/10). Solve 2*z - 2*g = -6, a*z = -5*g - 1 - 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 312980.1 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 less than 2.707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697469?\nAnswer: 31, 149, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from foooff. Give prob of sequence fofo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 5*o**3\/3 + 13*o**2\/2 + 10*o. Let b(k) = 21*k + 26. Let u(h) = 3*b(h) - 7*i(h). What is the first derivative of u(p) wrt p?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u**5\/13 - 1538*u**4\/13 + 9488*u**3\/13 + 3152*u**2\/13 - 38048*u\/13 + 12000\/13 = 0. What is u?\nAnswer: -2, 1\/3, 2, 6, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1433325266953\/92841468 + -2\/7736789. Let r = t + -15428. Find the common denominator of r and (-10)\/(-4) + 6\/(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.61 + 141.39. Let w = h - 143. Let u = 3.1 - 3. What is the closest to u in 5, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/q**(-1\/2)*q)**(-11\/7)*q**0\/(q\/(q*q**(-1\/4))))**48)**8 assuming q is positive.\nAnswer: q**(-2208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/5)\/j)**(1\/16)\/(j*j**(-1))**(-2\/11)*(j*j\/(j\/(j*j**(3\/2)))*j\/(j**(-2\/15)\/j))**(1\/15) assuming j is positive.\nAnswer: j**(1037\/3600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k = -21 - 129. Suppose 7*c - 4*c - 75 = 3*z, 4*z = 3*c - 73. Let o = c - -99. What is the lowest common multiple of o and k?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -852 + 856. Let d be 13\/((-468)\/(-112)) + -2. Let w = -2.9 + 3. Which is the nearest to w? (a) -1\/3 (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.6 - -53.6. Let d = 100 - l. Let w = d - 55.5. Which is the second smallest value? (a) w (b) 0.04 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11753*j**3 + 95*j**2 - 54.\nAnswer: 70518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 11*r. Let w = 3.586 + -3.886. Which is the nearest to -1? (a) r (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*r - 9. Suppose 5 = -5*d, r*m - 3 = -2*d + 31. Solve 3*v + v = -m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 3. What is the remainder when 5\/2*(-714)\/(-85) is divided by (x\/(-6))\/((-2)\/(-32))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 184\/759*(-6)\/(-8).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**3 - 65*r**2 + 12. Let k(m) = -7*m**3 - 131*m**2 + 20. Calculate -5*j(h) + 3*k(h).\nAnswer: -h**3 - 68*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 5:17 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -903 + 626. Let w(q) = 199*q**3 + 2*q**2 - 1. Let m be w(-1). Let i = m - l. What are the prime factors of i?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -0.04 (b) 2 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4665 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -85 + 100 + -3 + -34 - -6\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/3, 1.76 in descending order.\nAnswer: 3, 1.76, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 67 = 327. Let g = z - -326\/5. What is the second smallest value in g, 0.1, -0.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 20 = 4*f, 5*f = 2*z - 31 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14522*d = -14072*d + 42750 for d.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1340, 1295, 1220, 1115, 980, 815?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -204139, 2\/11?\nAnswer: -204139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - t**2 - 2*t + 1. Let z(j) = -9*j**3 - j**2 - 12*j + 1. Give h(p) - z(p).\nAnswer: 8*p**3 + 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*z - 6 - 18. Are z and -3\/16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1641524335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 61\/2 of a millennium?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -56*x + 1\/3*x**3 + 10*x**2 - 11. Is 4 a factor of s(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 277231 and -2?\nAnswer: 277233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004291417 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) 0.64 (c) -29 (d) 2\/21 (e) 1\/12 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -7. Suppose l + n = -0*l. Let y = l - -14. Calculate the least common multiple of y and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15709, 31417, 47125, 62833, 78541?\nAnswer: 94249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 298626371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d - 21. Let p(f) = 4*f + 21. Let k(z) = -7*i(z) - 6*p(z). Let r be k(-11). Let w = r - 72. Sort w, 0, -1 in descending order.\nAnswer: 0, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, e: 1, j: 3, v: 6}. What is prob of sequence avvj?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -114*q + 870 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4534, -18134, -40802, -72538, -113342?\nAnswer: -163214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -633588931?\nAnswer: 633588931.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 4*h**2 + 13*h**2 - 3*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 91 = -4*b, -3*w + 5*b = 9*b + 53. Let c = w + 250. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*n - 8168 = -2448. Solve -n = 7*f - 29*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 433 - 431. Let v(w) = -66*w**2 + 6*w + 63*w**k - 5*w - w. Let h(a) = -3*a + 1. Give h(v(l)).\nAnswer: 9*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 12:00 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 0) + 5 + -16. Let n = 19 + s. Calculate the remainder when 30 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 46 = -c, -2*r - c = 4*c. Let j(v) = -6*v - 20. Let x be j(r). Suppose -3*g + 176 = 3*s - 2*g, -x = -s - 5*g. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-295*k + 1431 - 1431)*(2*k - k + k + (-2*k - 7*k - k)*(1 - 5 + 3) - 4*k + k + 2*k + 2 - 2 - 3*k + 2*k - 2*k - k + (-2*k + 2 - 2)*(2 - 5 + 1)).\nAnswer: -3245*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/30240 and 71\/288.\nAnswer: 30240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -369\/5830 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5938406*k + 25642462 wrt k.\nAnswer: 5938406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*g*h + 103*g - 157*h + 126 wrt g?\nAnswer: -3*h + 103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 y when three letters picked without replacement from {f: 1, u: 1, y: 1, h: 2, g: 3, s: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1400.9 and 22.832?\nAnswer: -31985.3488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 21773, 194?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1879220.\nAnswer: 2, 5, 7, 31, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/96*4\/10.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqigiiqiiqiqqqiiqqi. Give prob of picking 3 i and 1 q.\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 2. Let g be c(0). Let y(h) = -96*h**2 + 0 + 2*h - 79*h**2 + 200*h**2 + 1. List the prime factors of y(g).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1307793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14660*h = 4*f + 14648*h + 88, 6*h + 117 + 37 = -5*f - h for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 + -28. Which is greater: w or 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4\/3 - 15518*m**3\/7 - 1900*m**2\/3 = 0. What is m?\nAnswer: -3325, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -43, 11\/6, 2, -5?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -21, 4, 9 in decreasing order.\nAnswer: 9, 4, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45229532 and 4?\nAnswer: 45229532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 8 + 5*i - 9*i)*(-7*i + 2*i + 3*i)*(i - i - 2*i) + (-1 + 1 + i**2)*(0*i - i + 3*i) + 2*i**2 + i**3 - 2*i**2 + 4*i**3 - 4*i**3 + i**3.\nAnswer: -12*i**3 - 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 2*w**2 - 512. Let m(c) = -251*c**2. What is u(m(o))?\nAnswer: -1004*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8 = 0, 4*n + 4*z - 361 = -41. What are the prime factors of n?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.643 + -0.143. What is the second biggest value in -0.2, 0, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -176 + 8. Let x be 43\/35 - ((-380)\/d - -14). Factor -2\/5*a + x*a**2 - 2\/5*a**3 + 0.\nAnswer: -2*a*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*y - 7. Solve 14 = a - 4*k, -2*k = -5*a - y - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**3 - u**2 + 8*u + 2. Let m(d) = 7*d**3 + d**2 - 15*d - 5. Let f(s) = 5*j(s) + 2*m(s). Solve f(w) = 0 for w.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 10*j - 117. Is o(-18) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003120864 rounded to seven dps?\nAnswer: -0.0003121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(1216) - (1 + sqrt(1216))*4) + sqrt(1216))*1*3*-6)**2.\nAnswer: 1036800*sqrt(19) + 39528000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 9*d**2 + 8*d - 6. Let v = 2638 - 2631. Give x(v).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 20.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**24*(g**(2\/61)\/g)\/g)\/((g*g**20\/g*g)\/((((((g*g\/(g\/(g*g*(g**(-9)\/g)\/g*g))*g*g)\/g)\/g)\/g)\/g)\/g)) assuming g is positive.\nAnswer: g**(-486\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1552, -0.2, 3, 73, 1.\nAnswer: -1552, -0.2, 0.5, 1, 3, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, p: 12, y: 2, t: 1, x: 1}. What is prob of sequence wy?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20705, -2.01, 3\/7 in decreasing order.\nAnswer: 3\/7, -2.01, -20705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i - 7. Let u be p(2). Suppose 0 = -u*c + 50 + 25. Suppose -4*d + 45 = 5*q, 4*d - 4*q - 2 = 34. Calculate the greatest common divisor of d and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 24486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35543029*u**2 - 29011417 wrt u?\nAnswer: -71086058*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2588 + 3 + (-36)\/4.\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2882250 and 3397212?\nAnswer: 7686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09125248 + -36.90837752. Let j = -37 - x. Round j to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*s + 68, -7*s - j + 30 = -5*s. Let m be (-1)\/(-1) - (-28)\/(-2). Let h = s + m. Solve -v + 3 = -3*z + z, -h*z + 18 = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71596021 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b**2 - 37*b + 13. Give a(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/145 + 159\/1015. Suppose 0 = -3*y + 1 + 11. Let a = -1 + y. Put 5, a, n in decreasing order.\nAnswer: 5, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2238 and -81?\nAnswer: 18.1278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (123\/40)\/(2\/4) and 1\/((11 + 0)\/((-294)\/(-12))).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxxmyymxfmxxrxxxyxr. What is prob of picking 1 r and 1 x?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0 - (-6 + 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (7 - (-3 + 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - ((-36)\/78 - (-3660)\/(-351)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 249\/(-332) - (-1 + 2057\/(-44))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1907 > 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 14 + 24 = 0, -235 = -3*j + 5*w. Calculate the highest common divisor of j and 120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**3*l**2 + 1874*i**3*l - 2*i**2*l - i*l**2 + 2473*i wrt i?\nAnswer: 12*i*l**2 + 11244*i*l - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/1 + 1 - 0. Suppose 5*d + 45 = 5*i, u = 6*i - i - 2*d - 39. Solve -i + 2 = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -992898107581?\nAnswer: 992898107581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-33)\/((-10230)\/(-20))\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 4*n**3 + 2*n)*(-2 + 1 + 2)*(2*n - n + 0*n).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79 (base 12) to base 14.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12096157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 9 = 3*r. Let h be (52\/(-273))\/(2\/(-45)). Is h greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20594? (a) 5 (b) 76 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -64 in 4, -3, 6, 17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 101 = -113, -3*z = 2*p + 27 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 12 = -4*k, 4*m - 2*k - 8 = 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -111, -0.13, -6?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 + 0 + 5 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-5)*u*u*u**(-4)\/u)\/(u\/u**(-1\/5))**(-45) assuming u is positive.\nAnswer: u**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 46462434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77322?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 136*a**3 + 10*a**2 - 33*a - 7. What are the prime factors of i(3)?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, 1\/5, -27\/5, 1\/2, -5, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 662587929, 662587936, 662587953, 662587986, 662588041, 662588124, 662588241, 662588398?\n\"Answer: j**3 - j**2 + 3*j + 662587926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)*-2 - sqrt(3)) + 3*sqrt(3) + -5)**2.\nAnswer: 40*sqrt(3) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 110, 1.\nAnswer: -3, 1, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 677\/2002 + -15\/286. Determine n so that 6\/7*n - 4\/7 - x*n**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*r - 242, 160 - 490 = -4*z + r. Let o(b) = -46*b + 166. What is the remainder when z is divided by o(3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Let i(j) = 3*j**2 - 1. Let a be i(1). Suppose -a*c + 4*c + 6 = 0. Sort q, c, 1 in decreasing order.\nAnswer: 1, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 2*y**2 - 3*y + 3. Let c be n(2). Let s be (9\/(-5))\/((-24)\/120). Suppose t + 5*o = -s, t = 37*o - 41*o - 8. Sort 4, t, c in ascending order.\nAnswer: t, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3533354123?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/112 and 65\/6?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - f - 3. Let u(s) be the second derivative of s**3\/6 + s**2 - 172*s. Let b(y) = -2*o(y) - 2*u(y). What is b(3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2386 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/1697 in -2, 10\/71, -6\/5, 3?\nAnswer: 10\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3914, 7829, 11744, 15659, 19574, 23489?\nAnswer: 27404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*n + 6 = 1843 + 2787 + 1808 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**3*p**3 - 2*k**3*p**2 - 2*k**3*p + 186*k**3 - 16053595*k*p**4 + 3*k*p**2 + 20*k + 9*p**2 wrt p?\nAnswer: -6*k**3 - 385286280*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2469988, 4940218, 7410450, 9880684, 12350920?\n\"Answer: j**2 + 2470227*j - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 19, 4, 10, -5 in decreasing order.\nAnswer: 19, 10, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24759934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2886.4249 to the nearest 10.\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*m = 974*m + 17725 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80411 divided by -3.\nAnswer: 80411\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 - 22*a**3 + 40*a**2 - 14*a.\nAnswer: -2*a*(a - 1)*(a + 7)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -596 + 608. Solve -m = -3*a, 5*w - 17 = -0*w - 3*a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13002308 divided by 8.\nAnswer: 3250577\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, b: 3, o: 2, c: 1, d: 2}. Give prob of sequence opo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160029 + 330928. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 6 = 2*m + q, 3*m - 5*q - 17 = 0. Let i(g) = 36*g**3 + 2*g**2 - g - 2. Let z be i(m). Let k be 6\/21 + (-60)\/z. Solve -k*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-6) + (-129004)\/(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u**2 - 15*u + 61. Give l(-6).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-50))\/((-20)\/50).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 37 = -4*q, -5*h = -5 + 30. Suppose -5*r + 2 + 10 = m, -3*m = r - q. Let t(s) = -22*s**2 + 3*s**2 - 7*s**r. Let p(z) = -z. Determine t(p(u)).\nAnswer: -26*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (7 + -2 + (-14 - (-8 - 2)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16407738 and 1.0536.\nAnswer: 16407739.0536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1471*a + 2935. Give n(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10800*w**3 + 21596*w**3 - 31 - 10795*w**3 + 31.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - k = -7, -2*s - k = -3*s - 1. Suppose 4*b = s*f - 54 - 2, -4*b = 4*f - 28. Suppose -3*g + 28 = 13. What is the remainder when f is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 5*k - 35 = 0, 4*l = -122*k + 120*k + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.8 * 1.\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -2*h**7\/21 - 43*h**6\/24 - 65*h**5\/12 - 85*h**4\/24 + 15*h**3\/2 + 94*h**2. Solve z(v) = 0 for v.\nAnswer: -9, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404*f + 446*f + 450*f + 449*f + 448*f - 2218*f.\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -9 (c) -79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -4*z + 11*z. Suppose 0 = -2*v - 3*a + z, -4*a + 9 = 4*v - 3*v. Solve -5*l = -v*d + 5, -45 = -5*d - 10*l + 5*l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 115 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, y: 12, e: 1, m: 4}. Give prob of sequence eee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 21. Solve 3*k + 3*c = 0, 0 = p*k + 2*c + 2 + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 4*a - 23. Let h be l(-6). Suppose 5*d + 2*s = 5*s + h, 4*d + 3*s + 7 = 0. Solve -w = -d*j + 11, -w + 2*j = 5*j - 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwww when four letters picked without replacement from ffswvfswws.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydwy when four letters picked without replacement from {w: 10, d: 1, y: 6}.\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 174, 661, 1624, 3189, 5482, 8629, 12756?\n\"Answer: 21*t**3 + 112*t**2 + 4*t + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 20. Let r be (-36 + 42)\/(3\/2). Solve 2 = r*a + k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45028*g**5*j**2 - 7*g**3*j**3 + 1249*g**2*j**3 + 3*g**2*j - 50*g**2 - 2*g*j**3 - 2*j wrt g?\nAnswer: -2701680*g**2*j**2 - 42*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 6*o + 174. What is y(19)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 41, -2\/11, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 752*q - 6930.\nAnswer: 2*(q - 9)*(q + 385)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33.08 + -30. Let m = -4 + f. Let g = m + 0.919698. Round g to five decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56407 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3037096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 0*f - 10. Let d be f\/((-32)\/(-6) - 4 - 1). Solve -n = -d*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(57)*2 + sqrt(57))\/(-1*sqrt(147) + sqrt(3)))**2 + -2 + 1.\nAnswer: 439\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 47 (b) -4 (c) -1.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2986 + 697. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 117369321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 12.7367681 and -16703.\nAnswer: -16690.2632319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 267483860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -8. Let l = m + -2.1. Let k = l - 1.5. Round k to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -707, -1170, -1563, -1880, -2115, -2262, -2315, -2268?\nAnswer: -2115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -12, 2*f + 3*f = -u - 16. Suppose -6 = -q - o + 18, 0 = o + u. Solve 4*t - 4*p = -q, 4*t + 4*p = -0*t + 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {d: 1, v: 2, y: 1, e: 2, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 8*y**3 - 337*y**2 + 48*y - 53. What is the units digit of d(42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6149 + -5818. Does 33 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 2 + m**2 + 2 - 4*m**2)*(71608*m**2 - 1860*m**3 - 71608*m**2).\nAnswer: 9300*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 13*l**2 - 14*l + 18. Let a be c(12). Let q(d) = -5*d + 1. Let h(u) = 10*u - u + 0 - 2. Determine a*h(x) - 11*q(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i + 50. Let u be q(-15). Suppose -u*k + 13711 = -7044. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.3, 3, -0.3, 0.1333, -0.47, -5, -1?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 738 and 5289738?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -14*w**3 + 2*w**2 + 17*w**3 - 4*w - 4*w**2 - 4. Suppose -5*l = -20 - 0. Let q(i) = -2*i**3 + 2*i**2 + 3*i + 3. Determine l*q(v) + 3*p(v).\nAnswer: v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6840729?\nAnswer: 3, 7, 23, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and -481.4.\nAnswer: -7221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12 + 13 - (-8)\/(-10). Let u(t) = t**3 + 4*t - 1 - 3*t**2 - 5*t + t**2. Let a be u(2). Sort a, x, 3.\nAnswer: a, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010101110 (base 2) in base 14?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + 7*v**2 - 26*v - 657. What is the units digit of n(-32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z. Let l(i) be the first derivative of -13*i**2\/2 + 5*i - 5. Let d(n) = -7*n + 3. Let w(k) = -5*d(k) + 3*l(k). Calculate w(x(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3\/2*l**2 - 1\/2*l**4 - 1 - 1\/2*l**3 + 1\/2*l = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u**2 + 9*u - 9. Let a(t) = t**2 - 2*t + 2. Let c(b) = 9*a(b) + 2*r(b). Let x(q) = 4*q + 2*q - 6*q + 5*q**2. Calculate x(c(m)).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 38 = -48. Solve 20 = -5*y + 5*f, -3*y - f = -u*f + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 18804086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13419.999989883 - 13420. What is v rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + (-2)\/(-4))*2. Let m = -201 + 340. Let b = m + -136. Put j, b, 2\/7 in increasing order.\nAnswer: j, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2067, -3, -8, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5648 (base 10) in base 6?\nAnswer: -42052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2064, -2293, -2508, -2703, -2872, -3009?\n\"Answer: z**3 + z**2 - 239*z - 1827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12187\/11 - -1107. Let p = -23\/81 + 2773\/162. What is the common denominator of p and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 211310\/22440 - (-14)\/24. Suppose i*h - 125 - 1\/5*h**2 = 0. Calculate h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = u + 5*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 5) to base 7\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**2 + 49*h - 105 wrt h?\nAnswer: -2*h + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 29. Suppose -5*n + 4*l + 1255 = -1, j = n - l - 251. What is the highest common factor of n and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2 + sqrt(704))*-5 + 3*(sqrt(704) + -3 + sqrt(704))).\nAnswer: -32*sqrt(11) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/272*27\/(1458\/(-48)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (4 + -2 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 7*c**2 + 7*c + 8. Suppose 2*q = 4*q + 12. Let t be b(q). Factor 3*o**t - 4*o + 0 - 9*o**2 + 1 + 1.\nAnswer: -2*(o + 1)*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002603265 rounded to six dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 5, 26.\nAnswer: -8, -3, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4263358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 6*j - 10. Let q be f(8). Let d = -47 + 85. Let m = d + q. Calculate the least common multiple of m and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f**2 + 17*f**2 - 18*f**2 - 24 + 106*f**2)*(-1 - 2*f**2 + 1).\nAnswer: -228*f**4 + 48*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -181*a + 3. Let p(q) = 6*q**2 + 5478. Determine o(p(v)).\nAnswer: -1086*v**2 - 991515","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -648\/5 + 129. Let u = -0.3 - -1. Let w = -1 + u. Which is the closest to 0? (a) w (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -x - 2, 0 = -2*x - 316*v + 321*v - 8 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 247401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 374, 439, 540, 671, 826, 999, 1184, 1375?\nAnswer: 1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -332529216 by -53912.\nAnswer: 6168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -35500 (base 6) in base 14?\nAnswer: -1c3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2181798 is divided by 1821.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -636653 - 0.6\nAnswer: -636653.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t = 0. Suppose t = i - 0 - 5. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c = 25*c. Solve z + 4 = c, -z - 19 = -0*f + 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1344214120 (base 5) to base 15.\nAnswer: -494375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 + 8*f**2\/3 + 94*f\/9 + 40\/3.\nAnswer: 2*(f + 3)*(f + 4)*(f + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -607 - -566.3. Let g = o - -40. Let n = g - -0.7000275. Round n to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*p - 302748, -2 = 4*p - 26. Round w to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8127?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 113.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 41\/4 + (-1)\/4. Suppose s = -z + 79. Suppose -5*y + 3*x = -171, -2*y + 3*x = 2*x - z. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -323.75 - -321.75. Let c = 0.4 + -0.4. What is the closest to c in -4, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -559?\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1690, 3388, 5086, 6784?\n\"Answer: 1698*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 12074508*y**2 + 31 + 12074515*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*i - 6. Suppose -113*v - 590 = 5*v. Let a(p) = p**2 - 5*p + 4. Let l(g) = -4 + 7*g - g**2 + 3*g - 4*g. Determine i*a(m) + v*l(m).\nAnswer: -m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 10. Let i be 3 - (-4 - 0)*-1. Put i, m, 3 in decreasing order.\nAnswer: m, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*i - 34 = 0, 3*l - 4*i = 1 + 43. Suppose 0 = -l*s + 10*s + 6. Sort -3, 8, s in descending order.\nAnswer: 8, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:43 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2004440 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**3 - g**2 - 6*g - 6. Let u(c) = 4*c**3 - 2*c**2 - 7*c - 7. Let m(x) = -7*j(x) + 6*u(x). What is the third derivative of m(i) wrt i?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -215133 (base 10) to base 8\nAnswer: -644135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 32581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from akbxhhhhbbhhkhhkb?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 295*x**2 - 1496*x + 1056. Calculate i(-300).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -12. Suppose 3 = v - 0*v + 3*f, 3*v = -5*f + u. Let d be (112\/(-42) - -2)\/((-2)\/(-12)). Sort v, -1, -2, d.\nAnswer: d, v, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -266564159*k**2 - 499365*k - 590 wrt k.\nAnswer: -533128318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -1. Let z = 3 + -3. Which is the second smallest value? (a) r (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5318824700.\nAnswer: 2, 5, 7, 211, 36011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -3, 6, -23, 4 in increasing order.\nAnswer: -23, -3, 4, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i + 48 = 0. Let w = -943 + 973. Calculate the greatest common divisor of i and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8922068749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x - 331 = -457 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 750 - 158 = 74*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 372 - 353. Solve z + 2 = 5*q, k = -2*q + 6*q + 5*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-309)\/1648)\/(36\/(-12096))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - (sqrt(190) + sqrt(190) + sqrt(190)*1)*-1)\/sqrt(10) + 0 + (sqrt(19) + 0 + sqrt(19) + 5)*5*-5.\nAnswer: -46*sqrt(19) - 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 195 + 0.06.\nAnswer: 195.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 269b (base 15) in base 6?\nAnswer: 102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 13384824?\nAnswer: 13384824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9705053?\nAnswer: 29, 379, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 179*x + 37 + 19.\nAnswer: -179*x + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate y**2 + 30127210*y - 380731241 wrt y.\nAnswer: 2*y + 30127210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 1\/3*d**3 + 0*d**2 + 0 + 1\/10*d**5 + 2*d + 1\/3*d**4. Suppose a(k) = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/3)\/((-1)\/(-3)). Let c be u\/(-2) + (-2)\/(-4). Solve -c*p**2 + 0 + 0 - 2*p**3 - 2*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101 - -224. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g = 16*g + 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/3)\/(f**1*f)*(f**2)**25 assuming f is positive.\nAnswer: f**(142\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66333, -524, -3.\nAnswer: -524, -3, 66333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (14 - (6 + 0 + -1 + -2))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 107060274*i**2 + 214120542*i - 107060270.\nAnswer: 2*(i - 53530135)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dej when three letters picked without replacement from peeeddqqqeqqqqdj.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -62.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v - 138 = -27*v. Let d = v - 41. Solve -d*u = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 554353 (base 13) in base 5?\nAnswer: 1003234013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*w - 1. Let s be (w\/(-15))\/((-4)\/(-10)). Let y = -121 - -125. What is the closest to s in 5, 1\/8, y?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -55, -72?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 16 + 4 + 5*j - 4*j + 18. What is the tens digit of z(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 37007, 37008, 37009?\n\"Answer: r + 37006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74077 + 148216 - 12*f**3 - 74139.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 6:25 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 256, 547, 954, 1477?\nAnswer: 2116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 16 + 2*m - 1)*(2 + 0 - 4 + (-1 + 1 - 1)*(-3 + 3 + 1) + 3 - 2 + 0 - 9 + 7 + 0 + (1 - 3 + 3)*(-2 + 0 + 1)).\nAnswer: -10*m + 95","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (3 - -36) - (-320 + 345 + (-18 - -1)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -9. Let m = 18 - 13. Suppose -3*y + 0 + 2 = m*z, 2*z - 35 = -b*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7610652, -7610649, -7610646, -7610643?\n\"Answer: 3*n - 7610655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 13) to base 14.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, v: 4, o: 1, z: 2}. What is prob of sequence vppp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/243248281?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.27263\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 28*p + 283. What is y(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -216.5.\nAnswer: 108.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*f + 15 = 3*f, -2*u = 5*f - 42. Let w(b) = 18*b**2 - b - 1. Let l be w(2). Suppose l - 25 = -u*a. What is the nearest to -2 in 2, -0.8, a?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742238765 to the power of 1\/3, to the nearest integer?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7055\/3 + 2352. Let m be 14\/20 - (-4)\/(-20). What is the nearest to m in j, 2\/21, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 1:08 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 473772 divided by -78962\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18889745579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/2716 + 1361\/2716. What is the fifth smallest value in 1\/5, p, -4\/7, 2\/5, -61?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x = -4*i - 20, 525*x + i = 523*x - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -142390576, -142390579, -142390582?\n\"Answer: -3*x - 142390573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 17. Let g = -5 - -10. Suppose -g*z + d + 10 = 0. Solve -z*n - 6 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 29 + 23 - ((18 - -3) + -8)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3\/7 (b) -180 (c) 4 (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/7 (b) 5 (c) 1\/9 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-21))\/((-7)\/42). Let m = 10 + -7. Sort m, -0.1, s in increasing order.\nAnswer: -0.1, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6879558 is divided by 604.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b - 10. Let x(p) = -5*p - 11. Let a(z) = -3*j(z) + 2*x(z). Let m be a(13). Let u = -39 + m. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -23, -5, -18579, 0 in ascending order.\nAnswer: -18579, -23, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -434341, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 16*a - 14*a - 157, -558 = -4*t + 2*a. Calculate the highest common divisor of t and 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 193 divided by -11\nAnswer: -193\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2 + 26160*k - 6991632 = 0. Calculate k.\nAnswer: 276, 8444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*x**2 + 12*x**2 + 15*x**2 + 15*x**3 wrt x?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t**2 - 9. What is the tens digit of d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1.9999935. Round g to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1900*m - 20. Let j be z(8). Suppose -6*a = -3*a + j. Is (-1 + (-2)\/(-4))\/(10\/a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572611642 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 235 + -239. Let u be (h\/(-18))\/((-6)\/54*-2). Solve u = -2*i - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 22*k - 6. Let q be a(21). Suppose 3*c - 2*h = 6 + 20, 0 = -2*c - h + q. What is f in -4*f**3 - 2*f - 4*f - 5*f**2 + c*f**3 - 5*f**3 = 0?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l - 45 = 0. Let j be (90\/35)\/(6\/(-28)). Let u = l + j. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 - 9369*j**2 - 232272*j + 241644.\nAnswer: -3*(j - 1)*(j + 26)*(j + 3098)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b**2. Let w = -28 - -49. Let c be (-216)\/(-28) - ((-24)\/w)\/4. Let f(q) = 6*q**2 + 4 - c + 4. Determine m(f(u)).\nAnswer: 288*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3192 and 24.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000081 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4125 (base 8) to base 10\nAnswer: -2133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 9*h - 9. Let f be v(10). Let d(j) = 4*j + 6. Let i(y) = 1. Let g(a) = f*i(a) + d(a). Find the first derivative of g(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*c**4 + 0 - 24*c + 8*c**3 - 46\/3*c**2 = 0.\nAnswer: -1, 0, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 + 62. Let s be (5 - -10)\/3*4\/v. Solve 2*w + 4*f - 4 = -0*w, -5*w - 4*f + s = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 182*o*t**3 - 35*o + t - 3 wrt t.\nAnswer: 546*o*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -46. Calculate the common denominator of ((-697)\/6)\/(-17) + (-2)\/z and -151\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 2*q + 4. Let y be m(2). Suppose -3*c - 2 + y = 0. Calculate the remainder when 3 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 457, 2181, 5069, 9127, 14361, 20777?\nAnswer: 28381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59745841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 9 - 14 - 2 + 3*r**2 to the form x*r + q + m*r**2 and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.048, 3, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4821, -2066, 689?\nAnswer: 3444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 679507790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**4\/s**(-1\/6)*s**(2\/9)\/s**5 assuming s is positive.\nAnswer: s**(-11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -774677+-0.5\nAnswer: -774677.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -5, -345, 20, -2, 4 in descending order.\nAnswer: 20, 5, 4, 0, -2, -5, -345","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*m**3*v + 5*m**2*v**3 - 10*m - 10*v**3 wrt m?\nAnswer: -168*m*v + 10*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**3 + 169*s**2 + 7*s. Let a(g) = -5*g**3 + 130*g**2 + 6*g + 1. Give 4*a(f) - 3*n(f).\nAnswer: -2*f**3 + 13*f**2 + 3*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(1\/37))\/i**12 assuming i is positive.\nAnswer: i**(-371\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/3 - 1082*k**4\/15 + 58354*k**3\/15 + 194834*k**2\/15 + 53368*k\/5 + 8232\/5 = 0. What is k?\nAnswer: -147, -2, -1, -1\/5, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, y: 2}. Give prob of picking 1 y and 3 x.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - g + 9 + 9 = 0, -g = -3. Let n = 963\/55 - 88\/5. Which is the nearest to 0? (a) f (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -130 - -33?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 8*v**2 + 15*v - 42. Let z be m(9). Solve 0 = 8*a + z - 44 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2352.92014 - 2353. Round r to 3 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*h**3 - 8*h**2 + 1068*h?\nAnswer: -312*h - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/127)*r\/((r*r**(-29))\/r) assuming r is positive.\nAnswer: r**(3812\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z**(13\/4))\/z)*z**(-19)\/z*z*z*(((z*z*z*z\/((z*z**(-12)*z*z)\/z*z)*z)\/z)\/z)**(3\/11))**21 assuming z is positive.\nAnswer: z**(-15687\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-10))\/((-4)\/10). Suppose 0 = 2*w + o - 2, 2*w - 3*o = 7*w - 6. Suppose w = 3*c + l*h - 51, 3*c + 5*h + 10 - 65 = 0. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 10435860799418917*y + 10435860799418917*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 1:05 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjwwjhojoonoqoh. What is prob of picking 2 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, p: 1, s: 8}. What is prob of sequence yyy?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2\/7 - 168*h - 12348 = 0. What is h?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*a - a. Suppose a*n + 5 = 113. Suppose -6*d = -d + x - 71, d - 3*x = n. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -970?\nAnswer: -970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 233597.9 millilitres?\nAnswer: 233.5979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 246526892 to the power of 1\/2, to the nearest integer?\nAnswer: 15701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*v + 2*u - 16, 3*v = u - 11. Sort v, -5, -1 in ascending order.\nAnswer: -5, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1))\/h**(2\/19))\/(h**(-2\/3)\/h**(-2\/25)) assuming h is positive.\nAnswer: h**(686\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 3:23 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 495377.3 centimeters in micrometers?\nAnswer: 4953773000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -454, -460, -464, -466, -466, -464, -460?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-62)\/(-341) - 1712\/(-22). Let g = 92 - j. Solve 4*v + 1 = s - g, -14 = 3*v + 2*s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*r - 4*s, s + 1 = 5. Solve -r*z - 3 = -8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*b**3*r - 3*b**3 + 134*b**2 - b*r wrt r.\nAnswer: 11*b**3 - b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212945458 is divided by 14196363.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*b + 2*b**3 + 9*b)*(-2*b + 9 - 9) in the form t*b**4 + z*b**3 + i + f*b**2 + j*b and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 643248*r**4 - 74*r**2 - 4142*r - 2.\nAnswer: 15437952*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 371 = 5*r, 3*m - 7*m - 3*r = -807. Calculate the remainder when m is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 - 610*u**3 + 15280*u**2 - 109550*u + 238875.\nAnswer: 5*(u - 91)*(u - 21)*(u - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n**3 - 11*n**3 - 14*n**3 + (0 + 0 - 2*n)*(-35*n**2 + 102*n**2 - 159*n**2) + n**3 + n**3 + 0*n**3 in the form k + j*n**2 + s*n + v*n**3 and give v.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 1, p: 1, r: 2, m: 2, i: 1}. What is prob of picking 1 p and 1 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 59457678 - 4?\nAnswer: 59457674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 175826086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 148 - 440 + 146 + 177*n + 141 + 2*n**2 as l*n**2 + d + w*n and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.8 - 5. Let t = x + 10. Which is bigger: t or -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*8.925.\nAnswer: -53.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -322042 - 3?\nAnswer: -322045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -148, 4, -1, 1 in descending order.\nAnswer: 4, 2, 1, -1, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + ((-3)\/2)\/(6\/(-4)). Suppose 16 = -3*q + 6*q + 5*m, 4*m = 2*q + 4. Suppose -l - q = -0. Which is the nearest to l? (a) -0.4 (b) y (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 8*b - 8. Let q be u(6). Let a(g) = g**3 - 4*g**2 - 1. What is a(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2937*y - 42 - y + 42 as g*y + c and give g.\nAnswer: 2936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -99 - -553. What are the prime factors of l?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0595 * -660\nAnswer: -39.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*a**2 + 10*a**2 - 2*a - 4*a**2 + 3*a**4 - 19*a**3 to the form q*a**4 + y + w*a**3 + c*a + o*a**2 and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -600.6, 2, 0 in descending order.\nAnswer: 2, 0, -600.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**4\/12 - 2*y**3 + 46*y. Let o(j) = -j. Let b(a) = -2*g(a) + 22*o(a). Let b(c) = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 6. Suppose 0*s + 9 = 3*s. Find the second derivative of 3*r - 7*r - r**s - r**3 + r**a wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(540)\/(sqrt(24)\/sqrt(2)*-5))**2.\nAnswer: -24*sqrt(5)\/5 + 89\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.7 + 17.69999881. What is y rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -61, -84, -103, -118, -129, -136?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 153609803 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m = 6. Suppose -z + 2*z - m = 0. Solve -z*f - 2 = -0*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -210*l - 1258. Calculate o(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 + 13. Let n = 25 - 12. What is the highest common divisor of o and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 24 = -0*m + d, 17 = 4*m + 3*d. Solve 5*k + 0*o = -5*o + m, -5*k + 3 = 3*o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -237, -541, -969, -1521, -2197?\nAnswer: -2997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 4*k + 6. Let z = -11 + 5. What is the remainder when 34 is divided by s(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -2\/9, 641, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/5*(-230)\/(-4). Let f = v + -115. Find the third derivative of f*c**3 - 3*c**2 - 83*c**3 - 2*c**2 wrt c.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 116*h + 13451. Determine b(-115).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f + 1. Let x(d) = 2*d + 1. Let t = -13 - -9. Calculate t*x(r) + 3*o(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42581\/9 - -4731. What is the smallest value in 5, j, 8, 1\/2, -0.01?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 0 - (-775 + 764).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -1149.\nAnswer: -1149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3395211\/7871840 - 3\/49199. Let y = -1\/32 + i. Put y, -0.1, 0 in descending order.\nAnswer: y, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -33\/5, 167, -3, -2, 3\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -534 + 540. Let q(v) = -7*v + 7. Determine q(m).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 a when four letters picked without replacement from cacaajajajacacaavav.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -132 + 20. Suppose -4*j = x - 112. Calculate the greatest common divisor of 32 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -77235 and 9995?\nAnswer: -771963825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/8, 4, 7, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 5:37 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 0. Let q = 18 + -18. Which is the third biggest value? (a) w (b) -2\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2336582361.\nAnswer: 3, 19, 1193, 34361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28772997 is divided by 1000?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2*u + 15, -u - 9 = -0*c - 3*c. Suppose 0*z = -3*z + 4*x + 65, 0 = -5*x - 25. Let p be (6\/z)\/((-1)\/10). Sort 4, p, c in decreasing order.\nAnswer: 4, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15111923*l**2 - 2*l + 4422201 wrt l.\nAnswer: -30223846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2115, -4, -990?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33281819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + a + 56. Suppose 555 = -2860*d + 2897*d. Calculate the remainder when t(0) is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = -14*n + 6*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-1))\/(3\/(-2)). Suppose -2*s + 3*o + 3 = c*o, 2*s + o - 9 = 0. Suppose 3*p - 6 = -t + p, -s*t + 2*p = -50. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -1)\/(10\/45). Put 1, 4, u in increasing order.\nAnswer: 1, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3409, 7467, 11525, 15583, 19641, 23699?\nAnswer: 27757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 8 = 0, -23*t = -d - 24*t + 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (sqrt(21)\/(sqrt(9)\/sqrt(3))*-6 - (sqrt(56)\/sqrt(128) + 3))) + -1.\nAnswer: 29 + 125*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3368465 greater than or equal to 3368462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 - 3*b**5 - 2*b**5 + (2*b**2 - 1 + 1)*(2*b**3 - 3*b**3 + 0*b**3) - 35 - 8*b**3 + 35 + 3*b**5.\nAnswer: -5*b**5 - 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*x + 28*x - 59 + 193.\nAnswer: -x + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d**(-3)*d)\/((d*d**(-17))\/d) assuming d is positive.\nAnswer: d**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -360 and 1.\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 691a - -18?\nAnswer: 6937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8769?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1028030270?\nAnswer: 2, 5, 102803027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 6765?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000019712 to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 10 = -9*s, -3091*k + 2 = -3090*k + 3*s for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 10471.73ml?\nAnswer: 10.47173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -7 (c) -29823511 (d) -1 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 615, 3\/4, -1075?\nAnswer: 615","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-6))\/((-4)\/(-6)). Suppose 2*r - 1298 = 15*s - 10*s, 1302 = -5*s + 3*r. Let d = s - -3868\/15. Is d not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.71 + 1.61. Which is the second smallest value? (a) -0.06 (b) 5\/2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**3\/3 + a**2 - 3*a - 7. Let z(j) = -j**2 + 3*j - 4. Suppose -g - 3 = -2*g. What is g*z(o) - 4*v(o)?\nAnswer: o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -11*l**2 + 4440*l - 11625. Give r(401).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(76) - sqrt(76) - ((sqrt(76) - (2*sqrt(76) + sqrt(76))) + -3))**2.\nAnswer: 40*sqrt(19) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 - 2*t**2 + 4*t - 8\/3.\nAnswer: (t - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.042 + 1048384.\nAnswer: 1048383.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44\/7*z - 4*z**2 + 4\/7*z**3 - 20\/7 = 0. Calculate z.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/13, -2\/5, 10, -60, 7.6?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -26. Solve 4*u - c = 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from {t: 1, n: 7, x: 1, f: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-5\/2))**(4\/9) assuming d is positive.\nAnswer: d**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 89873, 89864, 89855, 89846, 89837?\n\"Answer: -9*y + 89882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 8:27 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66225795 is divided by 281?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 0.0805337.\nAnswer: 0.1805337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 233716418 to the power of 1\/2, to the nearest integer?\nAnswer: 15288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(11) + -2)*-3.\nAnswer: -3*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 q when three letters picked without replacement from {z: 1, l: 2, n: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 4:28 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 150872089*q**2 - 1510809*q + 15129\/4 = 0.\nAnswer: 123\/24566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*p - 192773 = 0, 0 = -5*i + 2*p + 46119 + 146650. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 24.2?\nAnswer: 12.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -226, 2, 4\/3, 12\/5, 0.2 in increasing order.\nAnswer: -226, 0.2, 4\/3, 2, 12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404380 rounded to the nearest 10000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5969651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2933 and 37541.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 12) to base 9.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -694*k = -708*k + 154. Calculate the least common multiple of k and 273.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 + (-1 - -4))*-1. Suppose s*n + 2*f + 10 = 2*n, -3*f - 15 = -2*n. Suppose 0 = -5*u - n + 5. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110243 (base 5) to base 13.\nAnswer: -1981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 3*i + 3, -51*z - 5 = -54*z - 5*i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*4*2\/4. Let h be l\/15*(-69)\/35. Let z = -8\/5 - h. Is 1 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14041888 greater than or equal to -14041889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 145522 + -2?\nAnswer: 145520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 95 = -5*n + 616, -2*t - n + 351 = 0. What are the prime factors of t?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-854700)\/36630 - (-44)\/6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = 15*g - 14415. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112*x**4 - x**3 + 6937*x - 1496645 wrt x.\nAnswer: 448*x**3 - 3*x**2 + 6937","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2)*(-2 - -4). Let n be (9\/(-126))\/((-8)\/(-16)). Sort -6, n, -3, t in ascending order.\nAnswer: -6, -3, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 3*k - 6. Calculate t(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 147 = -21. Let x = -25 + n. Is 5 + x + 492 + -5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12\/13 + 49\/39. Let q(z) be the first derivative of 2*z + 1 + 0*z**2 + l*z**3. Find the first derivative of q(n) wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2767*y - 900. Does 80 divide x(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n**2 + 144*n - 108. What is i(28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 23\/6 of a hour?\nAnswer: 13800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + dd6d30?\nAnswer: dd6d30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*l + 31*l**3 - 18*l - 20*l.\nAnswer: 31*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from exs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5085344 and 132.\nAnswer: 15256032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -39) + -584 + 555?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**3 - 25*h**3 + 405*h**3.\nAnswer: 389*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5279\/44 - -483\/4. Is 0 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + b30049?\nAnswer: b30046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0, 0.0171, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3309, 3271, 3171, 2979, 2665, 2199, 1551?\n\"Answer: -5*u**3 - u**2 + 3315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23349524371 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 42631 and 13891?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o - 5. Let i be t(-5). Let h = -15 + i. Suppose 2*q + 4*q - 18 = 0. Sort h, q, 4 in descending order.\nAnswer: 4, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -218 or -2394\/11?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4170 at least 4172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -131332.77+1\nAnswer: -131331.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -29*a**2 + 31*a**2 - 62 - 52*a + 8 = 0.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -93\/148?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -160849 to the nearest 1000.\nAnswer: -161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3054 and 8479940?\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 - 137*a - 140*a + 4*a**2 + 409*a - 132*a.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6901790532?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**2. Suppose 0 = a + 5*j - 9 - 9, 3*a - j - 6 = 0. Let b(o) = -o. Let n(s) = 8*s. Let m(z) = a*n(z) + 20*b(z). Calculate m(r(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from qhqqqnkhdqdh.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.1 (c) -0.07 (d) 1\/6 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 356 divide 6137178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*x = -16 - 6, -88 = -3*o + 2*x. Calculate the smallest common multiple of o and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c - 1 + 14*c**2 + 40*c**2 - 4*c. Let a be y(-1). Suppose -a + 165 = 5*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 790 = 12*s. Let m(t) = -133*t - 91. Calculate the remainder when s is divided by m(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3601 - -19612. What is the highest common factor of 139 and v?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p**11*p*p)\/p)*p)**(-1\/2))**(-41) assuming p is positive.\nAnswer: p**(-451\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9575 and 8575.\nAnswer: 3284225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297230.\nAnswer: 2, 5, 29723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19444*y**3 + 139898*y.\nAnswer: -116664*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 274181*o**5 - o**4 - 62044*o + 6?\nAnswer: 5483620*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**3 + 48*w**2 + 5. Let c be v(16). Suppose -5*b + 3330 = -5*j, c*j - 1020 = 4*b - 3688. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 4320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -174?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 27436 = -80940 - 57716. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p + 19. Let c be (6\/(-4))\/((-3)\/(-16)). Let n be k(c). Solve -5*l - 3 - 2 = y, 0 = -5*y + n*l + 31 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 11*k = -12*k - 308, 0 = 4*y - 5*k - 407. Solve -10*s + 63 = y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-504)\/6300*(-15)\/6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/(a\/(((a*a**(-2\/5))\/a)\/a*a)))))\/(a\/a**(-4))*((a\/a**0)\/a)**16)**(3\/5) assuming a is positive.\nAnswer: a**(-81\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*y - 49*y - 20 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8586 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7615 + -7627. What is the nearest to j in 4, 2\/17, 2\/9?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 65\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/79174311?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 47 + 25. Calculate the greatest common divisor of 90 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 8\/69, 231.6?\nAnswer: 8\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1563*o**4 - 1363*o**2 - 1272021*o - 1 wrt o.\nAnswer: -18756*o**2 - 2726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, e: 4, b: 1, u: 3, g: 2}. What is prob of picking 1 e and 1 b?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1054587?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2703, -1382, -5481, -9600, -13745, -17922, -22137?\n\"Answer: -b**3 - b**2 - 4075*b + 6780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 766.5882 - 727.588084. Let k = 13 + -52. Let h = n + k. What is h rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1416299 (base 12) to base 9.\nAnswer: 7485500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 17*c - 2. Give p(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-225)\/36)\/((-20)\/16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/5 - 39*i**2\/5 + 66*i\/5.\nAnswer: 3*i*(i - 11)*(i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*p**2)*(9*p - 8*p + 6*p) - 5*p**3 - 15*p**3 + 8*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzwpi. Give prob of sequence iy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 812 + 2088. Calculate the greatest common divisor of s and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 - 225*i**3 + 2405*i**2 + 3105*i - 5290.\nAnswer: 5*(i - 23)**2*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 19*t - 16*t + 69 = 0, -4*j = t - 89. Suppose -i - 52 = 19*l - j*l, 5*l - 127 = 4*i. Solve -2 = -3*v + 2*q + 1, 5*q = -4*v + l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v = -3*v + 48 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 0 - (2 - 6 - -6). Let i be (1 + -1)\/(-3) + 9. Suppose 8*v + 1 = 7*v. Sort i, f, v in increasing order.\nAnswer: f, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 7*b - 14 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 3. Let q be a(6). Let h = 24 + q. Is h 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 2989073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2 - 18*w + 18*w. Let v(x) be the first derivative of -7*x**3 - 8 + 23 + 6*x**3. Calculate l(v(g)).\nAnswer: 45*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 13139 = q, 26286 = 2*q + 5*j - 3*j. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/9 + (-2)\/9. Suppose -2*z + 4*s - 50 = -0*s, n = -z - 3*s - 20. Let h = 35 + z. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41936241?\nAnswer: 3, 13978747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.028, -2, 0 in ascending order.\nAnswer: -2, -0.028, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*32.\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 1890100218?\nAnswer: 1890100217.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 133, 227, 355, 529, 761?\nAnswer: 1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -35.5 bigger than -1\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21120 (base 3) to base 15.\nAnswer: -d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.876 to one dp.\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/52)\/(6\/(-4))*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -25. Let c = z + -20. Calculate the least common multiple of 18 and (10\/c)\/(3\/(-42)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 21*x + 28. Give a(-12).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -2 + (140 - 134).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1\/5 (b) -0.1 (c) 0.005 (d) -5 (e) -424 (f) -1\/5 (g) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 34. Let l be k*(9\/6)\/(-3). Let j be 2 - (-11 + 4) - (l + 3). Solve -j = -4*a + 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1100 and 6618040.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 32*c**2 + c - 2. Let a be q(1). Calculate the greatest common factor of 248 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 158 + -2368\/15. Let m(y) be the second derivative of 2\/5*y**2 + 0 + 18*y + d*y**4 + 1\/50*y**5 + 1\/3*y**3. Factor m(b).\nAnswer: 2*(b + 1)**2*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 119, 61, 13, -19, -29?\n\"Answer: a**3 - a**2 - 62*a + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125548 by -97.\nAnswer: 125548\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*b**2*c**2 + 106*b**2*c - 22*b*c**2 - 2*b wrt c?\nAnswer: 22*b**2 - 44*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 u, and 1 h when three letters picked without replacement from hefbbuex.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(1\/3)\/p)\/p)\/p)**26*(p*p**5*p)\/(p**(-1)*p))\/((p*(p*p**(-2\/7))\/p)**(2\/25)*p**(-7)*(p*p**3)\/p) assuming p is positive.\nAnswer: p**(-6131\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**5 - 4*x**5 + 13*x**5)*(2 - 5 + 0 + (-2 + 3 + 0)*(2 - 4 + 4)) + 2*x**5 + x**5 - 2*x**5.\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3 - 459*i**2 + 23409*i - 397953 = 0 for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0, -0.004, 14, 4, -2\/5?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25086466.\nAnswer: 2, 12543233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 = -i - 0, -5*i + 15 = 0. Solve -3*y - 4 = -b, -y - q = -3*b + 4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407397479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/14 and -3\/94.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206184 is divided by 103082.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 332983456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -57 * 442\nAnswer: -25194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 72181, 295110, 666659, 1186828, 1855617?\n\"Answer: 74310*d**2 - d - 2128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 897 = 3*w - 6*v, 3*v = -w + 315. Let t = w - 220. Which is smaller: 81 or t?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, -9, -17 in decreasing order.\nAnswer: 8, 5, -9, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*s**2 - s**4 - 14*s**2 + 22*s**3 - 4*s - 14*s**2 + 43*s**2 - 43*s**3 as z + f*s + a*s**4 + j*s**2 + u*s**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -150 - -144 - ((0 - -2) + -23).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 1:46 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 343 - 63. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 9 = 7*w, 0 = -5*h - 2*w - 6. Suppose -3*v - 2*x + 1690 = h, 4*v - 4*x + 372 = 2612. What is the lowest common multiple of v and 10?\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70024, 139986, 209900, 279766, 349584, 419354, 489076?\nAnswer: 558750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18227955*z**2 - 18227307*z**2 - 2 + 2.\nAnswer: 648*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 21\/10, -5?\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(5\/6)\/i*i**(3\/23)\/i)\/((i*i**(7\/5))\/((i**14*i)\/i)))**(-19) assuming i is positive.\nAnswer: i**(-138491\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/3)\/(((-30)\/(-27))\/5). Let m = -36 + 42. Which is the nearest to -0.1? (a) y (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1778*r + 128180 = -432*r for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -681*z + 644*z + 1928144. List the prime factors of z.\nAnswer: 2, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 5*p - 3. Suppose 0 = -0*f + 3*f - 3*k + 30, -5*f + 6*k - 55 = 0. Calculate m(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -7 + 11*t**3 + 5 - 8*t**2 - 12*t**3 - 6*t. Calculate j(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) + (-3)\/(-5). Let x = -27 + 24.1. Let b = x - 0.1. What is the second biggest value in b, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-14))\/(-62 + 57)*6*2.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -422.6 - -300. Let i = h + 200.7. Let u = -75 + i. Round u to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 4\/7, -4, -0.0499, -95?\nAnswer: -0.0499","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-8))**(3\/14)\/(m**(-3\/22)\/(m\/m**(13\/5))) assuming m is positive.\nAnswer: m**(-163\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 9. Let z(i) = 3*i - 4. Let w be z(g). Let s(j) = 2*j**2 - j - 6. Let a be s(-2). Solve w*f + 14 = -3*f - a*k, 0 = -3*f + 5*k - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 15*m + 19. Let n(l) = -5*l - 6. Let s(i) = -6*j(i) - 17*n(i). Calculate s(9).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48578 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*1 - (-10)\/(-6). Let b(u) be the first derivative of k*u**3 - 2*u - 1 - u**2. What is j in b(j) = 0?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t + 43*t - 29*t - 17*t.\nAnswer: -19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4327*c**4 + 82*c + 423*c**2 - 1337*c**4 - 1058*c**5 + 107*c**2 - 2630*c**3 + 8 + 78*c.\nAnswer: -2*(c - 1)**3*(23*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at least -187849668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27440 divided by -3?\nAnswer: -27440\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 9*r + r. Suppose -r*t = 53 + 227. What is the tens digit of 8\/t - 156\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46322 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -3, 2, 0.0118431?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 875.4729 kilograms?\nAnswer: 875472900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200680 and 2157310?\nAnswer: 8629240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -332 - -173. Let n = 171 + d. Solve -n = 3*x - 6*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3*(-2)\/30). Suppose 0 = 5*l - j, u - 22 = -4*l + 7. What is the remainder when u is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 55*l**2 + 487*l + 129. Determine f(-44).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16186 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzbbbbzbzbbbbbb. Give prob of sequence zbb.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m - 24. Let u(c) = -14*c**2. What is u(x(s))?\nAnswer: -126*s**2 + 2016*s - 8064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 4782.6047\nAnswer: -19130.4188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*r + 11*r + 102 - 24*r + (r + r - 4*r)*(0 - 1 + 0).\nAnswer: 3*r + 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x*x\/(x*x*x**8)*x)*x*x*x)\/x**(-4))\/((x**(-3\/4)*x)\/x**(-1\/3)))\/((x**(-3\/2))**(15\/2))**(-30) assuming x is positive.\nAnswer: x**(-3865\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 + 5. Let f(i) = -1. Suppose -11 = -t - 4*r + 4, -5 = -3*t - 2*r. Let l(x) = t*m(x) - 2*f(x). Suppose l(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -177874, -177881, -177900, -177937, -177998?\n\"Answer: -s**3 - 177873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*o - o. Let c(j) = -54287*j - 9. Let q be c(o). What is q rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 10. Suppose 5*b - 3*t + 1246 = -133, -q*t - 1395 = 5*b. Let n = b - -398. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 1312?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -560, -748, -940, -1136?\n\"Answer: -2*i**2 - 182*i - 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2 (b) -12 (c) -1\/6 (d) 0.356\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23 + -4)*(-104443 + -2). Suppose 5*l + 5640025 = -4*v, 7*l - d = 2*v + 10*l. What is v rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2400 is divided by 218.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s + 8*s**3 + 43*s - 25*s - 47*s.\nAnswer: 8*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**5\/360 + g**4\/144 + g**3\/18 + 21*g**2. Find t, given that i(t) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-294)\/160 + 2)\/((-26)\/717275). Let i = z + 4484. Find the common denominator of i and -47\/80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/16 - (-208)\/4. Let o = -52 + y. Factor 5\/4*q**2 + o - 2*q.\nAnswer: (q - 1)*(5*q - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3577\/(-21))\/(-7) + (-2)\/6. Let w(j) = 5*j - 85. Let v be w(g). What is the highest common factor of v and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -82, -6, 266 in increasing order.\nAnswer: -82, -6, -1, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228680620*0.2.\nAnswer: 45736124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.7 + 48.1. Let m = z + -54.577. Let t = m - 0.023. Which is the closest to 2? (a) t (b) -0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1387 by -19.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001 + 1011010101111?\nAnswer: 1011010000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 507*q**2*t**2 + 1356*q**2*t + q**2 - 45*q*t**2 + 25*t**2 - 58586 wrt t?\nAnswer: 1014*q**2 - 90*q + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6559, 5, 10.\nAnswer: 5, 10, 6559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 + -6 + 12 + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - p + 15 = -3, f = -2*p + 8. Suppose -3*b - 15 = -f*b. Solve -3*s - 3*x = b, s + s - 2*x + 10 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119 times -426\nAnswer: 50694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 705\/(-9) - ((-10)\/6)\/5. Let u = -28 - y. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5328 and 202612.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021858.\nAnswer: 2, 19, 26891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1512\/(-210))\/((-1)\/((-55)\/2)). Calculate the common denominator of p\/64*72\/114 + 2 and -47\/19.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-4)\/1 + 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (-234)\/364*-49?\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29462131 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 7184430 to the nearest one hundred thousand.\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**2\/2 + c + 3. Let q be m(-3). Solve -l + 5 = q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -311263 - 2?\nAnswer: -311265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 206\/1*(13\/((-182)\/(-14)))\/(1 + -3)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + o = 8. Let c be (2 + (-60)\/18)\/(2\/(-3)). Sort -3, o, c in descending order.\nAnswer: c, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/21927 (b) 2\/7 (c) 0.018 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 21*m**2 - 2*m - 3. Let f(q) = -2*q**2 + q. What is 4*f(k) + p(k)?\nAnswer: 13*k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (8 - 14) + 7 + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m + 1. Let k be r(1). Suppose -4*l + 0*b - 4 = 2*b, 3*l = -4*b - 8. Suppose l = -5*f + f. Solve 2*a - 2 - k = f, 2*y = 4*a - 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/1463808 and -157\/503184?\nAnswer: 16101888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**4\/12 - 5*m**3\/6 + m**2. Let t be b(-6). Suppose 2*l = 5 + t. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 20*g - 28. Give k(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1255.99327 + -1256. What is y rounded to four decimal places?\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.11, -0.1, -11, -27, -1\/3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4132130210 + -2?\nAnswer: 4132130203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 201860000 to the nearest 1000000.\nAnswer: 202000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aadadddaaaaadqaqld. What is prob of picking 1 a and 2 d?\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffnf when four letters picked without replacement from nfnff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or -242\/9?\nAnswer: -242\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/7 (b) -2 (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12199 + 12402. Is 203 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-75)*60\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631803.\nAnswer: 3, 210601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**3 - 29*p - 10*p**3 - 27*p + 56*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and 510?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**3*t - 10560*p**2*t**2 + 3*p*t**2 - 60*p*t + 32 wrt p?\nAnswer: 6*p*t - 21120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 174 - 172. Let r be 2\/(-4)*0\/2. Solve r*j + j - z = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*n**2 + 6*n**3 - 2*n**3 - 452*n**2.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/110 and 254\/(-100) - (13 - 14)?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447 = s - 5*b, 4*s - 523 = -b + 1328. Let m = s + -264. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 15896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqxxlxlq. What is prob of sequence xlxl?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v + 5. Let o be x(-6). Let j = o - 18. What is the third derivative of j*m**2 + 4*m**3 + m**3 + 2*m**3 + 0*m**2 wrt m?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.75 + 1.75. Let r = 1\/195 + 379\/2145. Let g = -3 + 6. Which is the nearest to w? (a) g (b) r (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 168*d - 68. Let c be p(1). Solve -5*m = -30*m + c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 5 + 2*g**2 + 22*g + 10*g + 3*g**2.\nAnswer: 4*g**2 + 32*g + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 145229?\nAnswer: -145224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78499?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8*j = -3*j + 6364, -4*y + j = 12706. Let t = y + 4832. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/203, -36, 3 in increasing order.\nAnswer: -36, 2\/203, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3\/11, -3?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 42, -0.109, 3?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, -11, -18, -25?\n\"Answer: -7*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53ab5 (base 12) in base 6?\nAnswer: 2211145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/4*(-2)\/3. Suppose -82 = -4*w - j - 4*j, 102 = 4*w - v*j. Suppose -2*u + 0*u + 24 = 0. Calculate the remainder when w is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 893\/(-94)*(-26220)\/3610.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/5)\/((-12)\/(-90)). Let u = f - 12. Suppose 26 = -4*g + u*g. What is the highest common divisor of g and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4865545596 a multiple of 3868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2)**(2\/39)\/(q**(-3))**23)**(-23) assuming q is positive.\nAnswer: q**(-61985\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -2*r**6\/3 + 16*r**5\/5 - 3*r**4 - 16*r**3\/3 + 8*r**2 - 21. What is l in s(l) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301, 300, 299?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/80 and 1 - (10 - (-12467)\/(-1352)).\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1008*o = -2227*o - 1631*o - 51300 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 591 and 261025.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 11)*(2*k + 2*k - 5*k)*(-5*k - k + 2*k).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1843, 0.03 in descending order.\nAnswer: 0.03, -3, -1843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 + 0*w**2 - 2*w**2 + (w - 1 - 3*w - 3*w)*(-2*w - w + w).\nAnswer: 11*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -3 - -3) + (-4 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54953 is divided by 18315.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w + 18*w**3 - 131*w**3 - 9*w + 17*w.\nAnswer: -113*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 1724 = q + 1710, 5*s + q - 24 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716600 is divided by 358297.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**6\/3 + 511*w**5\/5 - 23*w**3 - 7*w**2\/2 - 876. Find the third derivative of k(t) wrt t.\nAnswer: 120*t**2 + 12264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 18 - 16 = -v, 2*m = 5*v - 1. Let l be (38\/(-6))\/(3\/(-9)). Let t = m + l. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 8*p - 22. Let v be b(-10). What is the common denominator of (-2)\/4 + (-298)\/(-132) and v*(-1)\/(12\/(-122))*-1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (83*q - 244*q + 78*q)*(6*q**3 - 15*q**3 - 7*q**3) to y + l*q + j*q**3 + u*q**4 + m*q**2 and give u.\nAnswer: 1328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 v when four letters picked without replacement from {t: 5, v: 7}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/84)\/((-78)\/20 + 4). Let i = 369 - 375. Put 4, k, i in decreasing order.\nAnswer: 4, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 273525953, 547051908, 820577863, 1094103818?\n\"Answer: 273525955*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 + 4*r + 5. Let v(i) = -5*i**2 + 4*i + 5. Let u(z) = 6*k(z) - 5*v(z). Let o be u(-4). Solve -3*b = 5*a - 22, 4*b = 2*b + o*a - 27 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*f**4 + 499*f**3 + 22422*f**2 + 3*f wrt f?\nAnswer: -672*f + 2994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 3\/14 (b) -3 (c) -2 (d) -1\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1552449?\nAnswer: 3, 31, 16693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 5*h - 25 = 0, 4*h + 0*h + 4 = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27965 - -28557. Calculate the least common multiple of 80 and h.\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 172*n + 92679 - 97151 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4)\/(54\/360)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-42))\/d**(-5)*(d**(2\/55)\/d)\/d*d**(-2\/11)*d assuming d is positive.\nAnswer: d**(-2043\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 44*i - 128, 86338*i = 86341*i + 5*b + 91 + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/22 + 97\/11. Suppose 1 = -4*t + p. Solve 12 = -t*u + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 628.9596 to the nearest ten.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*h - 6*h - 33, -5*p + 1 = 2*h. Let g be h\/14*7*-1. Let v be 108\/5 - g\/(-15). Calculate the highest common divisor of v and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srrs when four letters picked without replacement from ssrs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -37, 795, 0.041, 4?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*x + 64. What is the lowest common multiple of (18\/27)\/(2\/36) and x?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -12.4.\nAnswer: 1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2*p + 315 = 4*s - 9*s, 3*p + s = -11445 + 11374 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*n = 101*n - 5400. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.9+-38202429369\nAnswer: -38202429371.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 245\/343 - 3\/7. Let m(w) = -w**2 + w + 41. Let g be m(0). Let t = 202\/5 - g. Which is the smallest value? (a) j (b) t (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1353 is divided by 194.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11129768 to the nearest integer?\nAnswer: 3336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -360 - -580. Let g = 60 - 58. Suppose k - g*l - 22 = 0, 2*l + 4 = 2. Calculate the greatest common divisor of k and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*b + 2*b. Let t be (72\/60)\/(b\/10). Let o be t\/(-8) - 1\/(-2). Solve -5*f + 1 + 4 = o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52621705 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 55 * 0.08\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-636)\/265*15\/(-9). Solve -c - c = -s*w - 18, 0 = 2*c - 3*w - 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204\/(-33)*-34 - 46\/253 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020221122001 (base 3) in base 9?\nAnswer: -2227561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -22. Calculate the common denominator of ((-15)\/10)\/(t\/327) and 87\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 7:28 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 28*z**2. Let x(v) = 245*v**2 - 117*v**2 - 91*v**2. What is w(x(h))?\nAnswer: 38332*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5\/3 + 1890576*v**4 - 8042113283032*v**3\/3 - 10722840397632*v**2 - 32168543879824*v\/3 = 0. Calculate v.\nAnswer: -2, 0, 2835866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 33.84. Let f = -0.14 + 0.1. Let p = x + f. What is the nearest to -1 in -5, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 17. What is the second derivative of 0*j**z - 10*j**5 + 26*j**5 + 3*j wrt j?\nAnswer: 320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 385506 and 42.\nAnswer: 2698542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -456 + 162. Let o = -297 - s. Are 94 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (19 - 14 - (12 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 1142?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6707?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -190.33 to the nearest integer.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4682, 18946, 43160, 77678, 122854, 179042, 246596?\nAnswer: 325870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61913 is divided by 201?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*d**3 - 16*d - 9*d**3 - 40*d**3 - 35*d**3 - 50*d**3.\nAnswer: -94*d**3 - 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2916 - 2929 = v + 4*a, 12 = -4*v + 4*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-4*j**2 - 2*j + 11 - 13 + 2*j**2).\nAnswer: -2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - (2\/2 - -1). Suppose 2*n - 25 = -w, 7 = b*w - 8. Calculate the remainder when 18 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63608337?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 299003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**2 - 1044*n + 42735 = 0.\nAnswer: -385, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 111660 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + -1. Let l = s - -14.938. What is l rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 0.2, -0.9, 0, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*j = -3, 2*j - 3 = 1. Let y(p) = -2*p + 1. Let d(k) = -k**3 + 13*k**2 + 16*k - 21. Let r be d(14). Let o(v) = -5*v + 2. Determine r*y(g) + z*o(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.118741364 to four decimal places.\nAnswer: 0.1187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1062, 1072, 1098, 1146, 1222, 1332?\nAnswer: 1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79332 divided by -6?\nAnswer: -13222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 43604.28g?\nAnswer: 43.60428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/((-425)\/(-51))*(-5)\/435?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/84)\/((204\/(-34))\/(-18))*50.\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = -5*s + 2*z + 23, 5*s = z + 24 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 0 + m + 2*m - 1.\nAnswer: 3*m + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 7:33 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 1:07 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/77 and -115\/7952.\nAnswer: 87472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4761000 rounded to the nearest one hundred thousand?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(14\/5)*j*j**(-3\/7) assuming j is positive.\nAnswer: j**(118\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (44\/(-12) - -5)*(-3)\/(-2). Let d be 4\/8*6 - b\/(-1). Suppose -152 = -d*u + 4*u. What is u rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593727?\nAnswer: 3, 197909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 35 = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 238 + 235 - 6*m**3 - 486 + (4*m + 1 + 1 - 5*m)*(9*m**2 - 22*m**2 - 4*m**2) + 3*m**3 - 2*m**3 - 3*m**3.\nAnswer: 9*m**3 - 34*m**2 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3372 - 57326\/17. What is the third smallest value in 1, -3, 0, 1\/17, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.13396.\nAnswer: 0.40188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*g = 2, x = -2*x - 4*g + 6. What is the units digit of (-3)\/12 + x\/((-24)\/(-1035))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 7*d**2 + 7*d - 18. Let o be j(-10). Find the common denominator of (72\/(-96))\/(1 - 254\/o) and 113\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 5, 0.3, -151\/2 in ascending order.\nAnswer: -151\/2, -1\/4, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2590*t - 2596*t = -5182*t + 4*m + 60, 0 = 5*m - 5 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*h**5\/5 + 262*h**4\/5 + 212*h**3\/5 + 42*h**2\/5 = 0. What is h?\nAnswer: -21, -1\/2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9 + ((-108732)\/(-12) - -13)?\nAnswer: 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + -3 - (-16 + -10 + 11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-16) - (-46)\/(-184). Let z be -10*(-4)\/(-42) + 1. Is f at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -7*p - 40, -b + 39*p - 44 = 44*p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1340886048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10366, 10374, 10386, 10402?\nAnswer: 10422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1942465\/60325*(-10)\/14\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 462 (b) -2\/3 (c) 4 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 99303978 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 12:10 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 19, -6, -3, 3 in decreasing order.\nAnswer: 19, 5, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -3. Suppose -5*b = 2*a - 18, 15 = 4*b - b - s*a. Solve l = b*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015506858 to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3269a - 2?\nAnswer: 32698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p - 2. Let m be 8\/(80\/10) + 9. Let s(r) = -2*r - 1. Give m*s(c) - 3*u(c).\nAnswer: -2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.2, 402.\nAnswer: -5, -0.2, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14059.9 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0 + 0)*(6 + 0 - 2) - 13995 + 13995 - 137*v.\nAnswer: -141*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**3\/3 - 7*b**2\/2 + 2*b - 2. Is 2 a factor of z(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.16? (a) 4 (b) 3\/5 (c) -1\/4 (d) 0 (e) -2.4 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*v + 11 + 0 - 10 + (0 + 2 - 4)*(-91 + 91 - 35*v) to m + h*v and give h.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4602071420?\nAnswer: 2, 5, 230103571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64834949.\nAnswer: 47, 1379467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15165*a**3*o**3 - 7*a**3*o**2 - 156*a**2*o**2 - a**2 wrt o?\nAnswer: -90990*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 6567.\nAnswer: -4\/6567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1551 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(252) - -2*sqrt(252))\/((sqrt(18) - sqrt(288))\/sqrt(2) - (sqrt(9) - sqrt(729)*2 - sqrt(9))).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 356995955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 0*h - 2*h - h + 2*h. Let d(f) = -f**2 - 6*f - 6. Let w(k) = -k**2 - 5*k - 5. Let n(v) = -5*d(v) + 6*w(v). Give p(n(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -8221654.75 to the nearest one hundred.\nAnswer: -8221700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bfdfzcdvdddfvbfdvcdd. Give prob of picking 1 c, 2 b, and 1 v.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1056*v + 45322 = -7478 for v.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4126?\nAnswer: 2, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -106*x. Let m(w) be the third derivative of -w**4\/24 + 150*w**2. What is m(r(y))?\nAnswer: 106*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.517377 nanometers in meters?\nAnswer: 0.000000003517377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-13))\/d)\/((d\/(((d\/d**(-2\/15))\/d)\/d*d*d*d))\/d))**(10\/11) assuming d is positive.\nAnswer: d**(454\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -197\/6840 and -32\/1485.\nAnswer: 225720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 174963*x. Let w(q) = 6*q + 4. Calculate w(c(d)).\nAnswer: 1049778*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*w + 28 = 3*w, 2*r - 4*w = -24. Let t(z) = -3*z**2 - z**2 + 1 - 5 - z**3 + 0. Let a be t(r). Is a less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 14203*d**2 - 2441219*d - 2427017.\nAnswer: -(d + 1)*(d + 173)*(d + 14029)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115310 + -115335.0098. Let h = -6.3 - 18.7. Let c = h - s. What is c rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-96)\/(-10) - 2\/(-5). Suppose n = 13*b - 107. Calculate the greatest common factor of 72 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 365 and 23800?\nAnswer: 1737400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18259 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 121233 by 5773.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven fifths of a decade?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**21\/l*l\/l**(1\/25)*l assuming l is positive.\nAnswer: l**(549\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*n + x, 454*n - 2*x - 7 = 482*n + 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111012 + -1210220200202?\nAnswer: -1210221011221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-77))\/(2\/7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -7. Suppose 4 = -z*g + g. Solve -n - g*n + 15 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -882 divided by -6.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-360))\/(((-3)\/35)\/(-3)).\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = -8*o + 8755. Let c = o - 36. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 498 + -2987\/6. What is the third biggest value in z, 0, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(38)\/(-1*sqrt(242)) - (0 + (sqrt(171)\/sqrt(3))\/sqrt(3))) + -4)**2.\nAnswer: 96*sqrt(19)\/11 + 4672\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.1 - -3. Let c(g) = -g**3 + 8*g**2 - 2*g + 19. Let n be c(8). Let i be (1\/2)\/((-3)\/12 + n). Is r at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -11. Let b(p) = -2*p - 11. Let n be b(g). Put -4, n, 1 in descending order.\nAnswer: n, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/4)\/((-11)\/(-44)). Solve 0*q - 4 = q + d, 4*d = -v*q - 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -49?\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 47.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t - 4 + 6 = -41*t + 84*t, -4*f - 5*t = -26 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4252093 less than 9.97?\nAnswer: 10.3952093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13561647 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 10.9. Let i = m + -0.8999. Round i to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v**(7\/11)))**(1\/19) assuming v is positive.\nAnswer: v**(4\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -7 - 3)*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 + 0 - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + m)*(3 - 3 + 1) + 3*m - m + 0*m - 4*m + 2*m + 0*m - 3*m + 22 - 39 + 21 + (-m - 1 + 1)*(1 + 1 + 0).\nAnswer: -4*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 2*z - z)*(3*z**3 + 4*z**3 - 4*z**3) + (-2*z**3 + z - z)*(2 + z - 2 + 3*z - 5*z + 0*z + (-1 - 3 + 2)*(0*z - z - z)).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402 + 150 = 28*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -25. Let t = x - 11. Is -2\/9 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -0.0667, -3\/7, 5, 0.5 in increasing order.\nAnswer: -3\/7, -0.0667, 0.5, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -165013\/27792 + -1\/13896. What is the common denominator of n and -15\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1193672 by 298418.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -53, -2, 35, -5, -28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14420053 to the power of 1\/2, to the nearest integer?\nAnswer: 3797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 - 4 = 0. Suppose -g*f - 3*c + 56 = -44, -c + 80 = 4*f. Solve 0 - f = 4*s + 4*v, -s + 2*v = 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 418503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 o, and 2 i when four letters picked without replacement from ioioymiii?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30665 + 15137. What are the prime factors of n?\nAnswer: 2, 22901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*(sqrt(99) - (sqrt(99) + 2*sqrt(99)*4 + sqrt(99)))*2 - (-3 + sqrt(99) + sqrt(99) + 1 - (sqrt(99)*1 + -2))))**2.\nAnswer: 10781100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -343083 divided by -1389?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 259 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*((-4)\/(-4) - ((-5 - -10) + -4)). Solve z = -3*f - 3, 6*w - 10*w - f - 1 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7859870 and 35.\nAnswer: 55019090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7204677647 or -1?\nAnswer: -2\/7204677647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18063 + -54193\/3. Which is the closest to 3.3? (a) -4\/7 (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 4. What is r(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 24. Suppose -7*u = -t - 49. Solve -5*w + 2*w + u = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -20232*p + 9852986. Determine f(487).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1217 + -945. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -542025005 + -3?\nAnswer: -542025012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 + -561660?\nAnswer: -561640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -5, -29, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, q: 1, t: 1, a: 2, y: 10}. Give prob of sequence aa.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 12*p**3 + 4*p**2 - 10. What is v(2)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-4))\/(122\/((-146400)\/(-225)))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 43 - (-4 + 2 - (2 + -5)). What is the units digit of (326\/4)\/(21\/x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x**(-2\/15)))\/(((x**(2\/9)\/x)\/x)\/x)*x\/(x*x\/x**(2\/9))*x*x*x*x**(-6)*x*x)**(-9) assuming x is positive.\nAnswer: x**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5*33.93\nAnswer: -169.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*h - 27. What is the second derivative of -h*l + 12*l**5 - 10*l - 3*l**5 wrt l?\nAnswer: 180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -127.5 and 0.1.\nAnswer: -12.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.42 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-28))\/(17 + (-7584)\/336).\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -7*h**7\/6 + 7*h**6\/10 + 159*h**5\/10 + 43*h**4\/3 + 4*h**3 - 80*h - 17. Solve t(i) = 0.\nAnswer: -2, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Let c be ((-8)\/(-66))\/(14\/21). Which is greater: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -217, 0.5, 5?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 188.87 - 2.87. Let l = q + -175.3. Which is the biggest value? (a) -0.3 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 - -83. Let i be ((-8)\/l)\/(12\/(-10)). Factor 0 - v - i*v**2.\nAnswer: -v*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*d + 2. Let l be 6\/d - 639976\/(-16). Round l to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 354 and 1770?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39951 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -161 times -174574\nAnswer: 28106414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 514433221?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 5. Let x = n - 9.8. Let r = 1 - 1.2. Which is the closest to 1? (a) x (b) r (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*b - 22654 + 1924, -4*b + 4*j = -16560. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*f**2 + 15 - 31*f**3 - 17 + 101*f**2 + 213*f**3.\nAnswer: 182*f**3 + 5*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158699*z**2 + 158704*z**2 + 28535 - 28535.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 217 - 210. Let m(c) = -3*c. Let q(b) = b**3 - 7*b**2 - 12*b + 2. Let u(l) = 2*m(l) - q(l). What is u(y)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 1051 + 1323 = 0. Suppose -5*p + 0*p + 68 = 2*g, 3*g - p = 68. Calculate the remainder when n is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28051, -56082, -84095, -112090, -140067, -168026?\n\"Answer: 9*f**2 - 28058*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19046363437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5421, -21686, -48791, -86736?\n\"Answer: -5420*u**2 - 5*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 2\/7, -1, 144, 3 in ascending order.\nAnswer: -1, 2\/7, 3, 17, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-11) - (-138)\/33. Suppose -a = -5*t + o - 2, 3*t - 4 = a. Let p(h) = -6*h. Let s be p(a). Calculate the highest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zezz when four letters picked without replacement from {e: 3, z: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -3)\/(10\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -5) + 12 - 3. Let g(y) = -y**2 + 11*y - 9. Let a be g(v). What are the prime factors of a + (4 - 3) + 54?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1539 - -2604. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*q - 103681*q**2 + 103678*q**2 + 3*q**3 + 2*q**3 as m*q**2 + o*q**3 + c*q + x and give c.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3 - (8 + -11 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 33 = o, -10*l = -14*l - 28. Which is the second smallest value? (a) -5 (b) o (c) 2\/5 (d) 0.3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 - 50. Suppose -5*w - 77 + 22 = -5*u, -5*u - m = w. Let r(v) = -v**3 - 13*v**2 - 14*v + 5. Calculate the remainder when r(w) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.83 + -2.17. Suppose 15*r = 10*r + 25. Which is the second smallest value? (a) r (b) f (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izzivzk. Give prob of sequence kiz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2. Let z(k) = -k - 4. Let f(u) = u**2 + 3*u - 3. Let a be f(-4). Suppose -p = -a + 6. Calculate p*c(v) - 2*z(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -699.0584 + 0.0584. Let m = -733 - p. Let j = -6\/11 - 4\/33. Which is the third smallest value? (a) m (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 + 12*z**2 + 5*z**2 + 5*z**2 to u*z**2 + v + m*z and give u.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 496928006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 4 - 5*o - 2)*(5*o - 2*o + 2*o).\nAnswer: -5*o**2 - 30*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*i + 232*i - 23172 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 442 divide 1283157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 2 - 144\/(-18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 1 (c) -2\/5 (d) 4 (e) 1344 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-9)*-3*-4. Suppose 0 = -c*g + 166 + 118. What is the remainder when g is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00135694 to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98038*s + 98024*s = -338282. What are the prime factors of s?\nAnswer: 73, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.0774 (c) 27 (d) 2\/7 (e) 127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 26\/5 (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**8\/100800 + d**7\/12600 - d**6\/1200 + 31*d**5\/60 + 30*d**2. Let b(y) be the third derivative of i(y). Factor b(n).\nAnswer: (n - 1)*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*8\/24 - -34*2\/(-16). Which is smaller: a or -5154?\nAnswer: -5154","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 151753\nAnswer: -11\/151753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5713 = -2275*z + 1200*z + 12562 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4870?\nAnswer: 2, 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(396) + -2)**2 + 4 - (3 + (sqrt(396) - (3*sqrt(396) + 3 - sqrt(396)) - sqrt(396)) + sqrt(396))**2)*-3.\nAnswer: -15 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-6750)*50)\/(2\/560).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3981930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -45. Let q = p + 39. Let o = 0.31 - 7.31. Put q, 4, o, -0.1 in decreasing order.\nAnswer: 4, -0.1, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrzrrrrrrrrrrr. What is prob of picking 2 r?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*s + 3*s. Let c be (-2)\/s*((-7 - -12) + -1). Suppose 3*a = -c*m + 270, -a + 3*a - 4 = 0. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 7:57 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 6\/3 - -14. Let r = -6 + a. What is the highest common factor of r and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -123*k - 139*k + 12477 - 1735 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.76 + 17.76. What is the closest to n in -1, 1\/6, -0.4, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128559200 divided by -58436\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 173, 175, 187, 215, 265, 343?\n\"Answer: v**3 - v**2 - 2*v + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) - sqrt(252)*-1)*-6)\/(4*-2*sqrt(12)))\/(1*sqrt(147)*-6*-2)*2.\nAnswer: sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**3 - 23*k**2 - 10*k + 5. What is n(6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 4*r**2 + 2*r + 35. Determine k(-6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**4 - j**3 - j**2. Let u = 14 + -11. Let l(i) = 7*i**4 + 3*i**3 - i**2 - 7*i - 2. Let c(a) = u*l(a) + 24*r(a). Find p, given that c(p) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0064093459 to five decimal places.\nAnswer: 0.00641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60? (a) -1\/4 (b) -19532 (c) 1 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*c**2 + 2 - 4*c**2)*(-205 + 107 - 120).\nAnswer: 218*c**2 - 436","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15210 and 6285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2))**(2\/45))**(-5\/12)*y**(-2\/11)\/y**(2\/7)*y**5*y**4\/y assuming y is positive.\nAnswer: y**(62717\/8316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) + sqrt(256))*-4)\/(sqrt(72)\/sqrt(81)) + (sqrt(20)\/(-2*sqrt(90)))**2 + -3.\nAnswer: -60*sqrt(2) - 53\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50533 at most as big as 50534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4545*b + 2180*b - 223960 = 2725*b for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 131734914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -214, -441, -708, -1039, -1458, -1989?\n\"Answer: -4*u**3 + 4*u**2 - 211*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4689645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**9)\/h)**(-2\/19)\/(h**(-1)*h*h**28*h) assuming h is positive.\nAnswer: h**(-533\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 2023232?\nAnswer: 2023230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6292)\/66)\/(957\/261).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2)*(j - 3 + 3) + 4*j - 2*j + 2*j + 17*j - 24*j - 17*j to i*j + p and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + (19 - (-11 - ((0 - -11) + -33))) + 0.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.04, -4, -0.2, 0 in descending order.\nAnswer: 2\/7, 0, -0.04, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 219*n**3 + 134*n**3 + 84*n**3 - 7*n**2 + 7*n**2 + 8*n**3 + (n**3 - n**2 + n**2)*(-3 + 3 + 1) - n**3 + 0*n**3 - n**3.\nAnswer: 444*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 6. Let b be r(6). Which is smaller: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x**3 + 6*x**2 - 7*x + 4. Let o(f) = -7*f**3 + 7*f**2 - 8*f + 5. What is -6*n(t) + 5*o(t)?\nAnswer: t**3 - t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 - 11*p + 4. Calculate w(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/5, 5, 0.05, -930 in ascending order.\nAnswer: -930, 0.05, 2\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -384 divided by -128?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.32 * -27465\nAnswer: 8788.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14223214 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -212004 + 1105?\nAnswer: -210455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2\/3 (b) 0.5 (c) 0.1027\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 3. Let m = -6 - -7. Put m, -0.5, k in increasing order.\nAnswer: k, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - 63) + (4 - -45).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/5, 0.3, 2.6, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x - 6*x + 93 = -282 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5432 - 5884662790.\nAnswer: -5884668222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f. Let v be (81\/36)\/((-3)\/(-8)). Let q(a) = -v*a**2 + a**2 + 4*a**2. Calculate j(q(t)).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 429755\/(-1295) - -331 - (2\/3 - 650\/(-42)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**2 - 3*o - 181. Let z(m) = -5*m + 7. What is -9*a(h) - 4*z(h)?\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6521 (base 14) in base 4?\nAnswer: 10101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148604883*n**2 + 107383595*n wrt n?\nAnswer: -297209766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7926 - 8286 = -22*w - 2*w for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 - 12*x - 188. Determine d(0).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/8*(4 - 1844). Round v to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3552 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 v = 105 + -100. Suppose -u + v = -21. What is the greatest common divisor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 121, 210, 353, 562, 849?\nAnswer: 1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 15579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100.57 - -95.2. Let h = x + 0.37. Which is the nearest to -0.2? (a) h (b) 2\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n + 19. Let p be q(6). Which is greater: p or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**2\/9 + 904696*b\/9 = 0 for b.\nAnswer: 0, 226174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (271569 - (-6 + -9)) + 13 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -575 + 577. Suppose -a*y + 506 = 4*k, -2*k - 811 = -4*y + 221. Is 255 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/52 - ((-418)\/(-273) + -1). Let f be (4\/65)\/((-6)\/(-5)). Let h = u - f. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 3*i - 2*i)*(4*i**4 - 6*i**4 + 3*i**4) + 2*i - 3*i**5 - 2*i - 2*i**5 - 5*i + 5*i.\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) 0.2 (c) -0.08 (d) -7\/2 (e) 2 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 345, 516, 687, 858, 1029?\nAnswer: 1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 p, and 1 j when three letters picked without replacement from {k: 1, p: 2, h: 1, j: 5, l: 2, c: 2}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 527*u + 277*u - 418*u in the form v + f*u and give f.\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 - 119. Let m(s) = 2*s**2. Calculate r(m(t)).\nAnswer: 12*t**4 - 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 154441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*x + 12 = x, 0 = 4*f + x - 9. Let u be ((-18)\/5)\/(6\/(-20)). Suppose 0 = -4*p + f*p + u. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 + 117 + 4*h**3 - 56 + 7*h**3.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*q**3 + 493*q**3 - 168*q**3 + 15925*q**2 - 162*q**3 - 15925*q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1223, 533, -157?\nAnswer: -847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*u - u. Suppose 6 = u*w - 6. Let d(i) = 4*i**2 - 4*i + i - w*i + 4*i + i**3. Calculate d(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -139539 + 1251605\/9. Let k = 472 + y. Factor 2\/3*n**2 - 2\/9*n**3 + k - 2\/3*n.\nAnswer: -2*(n - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-1))\/((-16)\/(-8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1535 - 1425. Calculate the remainder when 327 is divided by l.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31.5 - 31. Which is the closest to -1\/3? (a) -3\/5 (b) p (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 34*i - 45 + 203 - 80 - 41.\nAnswer: 34*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-2 + -7)) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/7*i**3 - 6\/7*i**2 + 0*i.\nAnswer: 3*i**2*(i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1138*z + 40968. Calculate m(36).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/401 and -27\/4.\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 412515 and 64970.\nAnswer: 60227190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1833 - 6.3833. Let v be (-18)\/12*8\/3. Which is bigger: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/173800 and 15\/584.\nAnswer: 12687400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**6\/120 - 3*z**5\/20 + z**4\/3 + 11*z**3\/6 + 2*z**2. Calculate the remainder when 32 is divided by f(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-26) - ((-648)\/132)\/54*1111\/(-2)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5046 - -5043. Let m = -5 - 0. What is the smallest value in 0, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 274 and 362913.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.054 and 23151.\nAnswer: 1250.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 343813, 343799, 343783, 343765, 343745, 343723, 343699?\n\"Answer: -z**2 - 11*z + 343825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/((-8)\/9))\/((-6)\/4). Let g = -30 - v. What is the tens digit of ((-114)\/g)\/((-1)\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -3*b, -52*b - 5*f + 2*f = -50*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 46 + 19*l - 48*l - l**2 - 41. Let p be 87\/2*(-6)\/9. Let f be y(p). Solve f*q + 2*j = -16, 3*j - 4*j = -2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151130 divided by -2?\nAnswer: 75565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7501, 5999, 19513, 33047, 46607, 60199, 73829?\n\"Answer: s**3 + s**2 + 13490*s - 20993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0459530657 rounded to three decimal places?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1000 and 375.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -4, 10431 in decreasing order.\nAnswer: 10431, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*v - 7432, -v + 68*i + 1486 = 67*i. Calculate the highest common factor of v and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 7:24 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 32.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**4\/12 + 2*a**3\/3 - a**2. Let w be (-1)\/2 + (-14)\/4. Let l(h) = 1. Give w*l(f) + i(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6832*p - 13. Let m(k) = -1713*k + 3. Determine 9*m(q) + 2*x(q).\nAnswer: -1753*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110814204.\nAnswer: 2, 3, 9234517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/27520 and 111\/14720?\nAnswer: 632960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khyjjhjgkk. What is prob of picking 1 g and 1 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 - -1.59. Let f = j + -1.5. Let u = 0.21 - -0.09. Which is the closest to f? (a) 2 (b) 1\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21237 + 21318. What is the highest common divisor of i and 4887?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3036 - 37.84?\nAnswer: -39.1436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -377466251 and 17.71.\nAnswer: -377466233.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**2 + 8*p + 3. Calculate g(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a meter in millimeters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2049303 to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 50*k**3 + 5*k**2 + 11*k + 5. Let l(r) = -25*r**3 - 2*r**2 - 6*r - 2. Let p(i) = -5*l(i) - 2*x(i). Find the second derivative of p(j) wrt j.\nAnswer: 150*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6577363 and 15314.\nAnswer: 7657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzbwzzzzzzu. Give prob of sequence zu.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 37903 + 525*g - 37903 in the form u*g + w and give u.\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-1\/5))\/r)\/(r\/r**(-8))*r**(-2\/9)*r*r**(-6\/11))\/(r**(7\/2)\/(r\/(r*r\/r**(-5\/3))))**(1\/39) assuming r is positive.\nAnswer: r**(-112301\/12870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -11. Suppose z - 2 = 4*n. What is the third derivative of -i**2 - 3*i**n + 2*i**4 + 8*i**2 wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21254370 + -23?\nAnswer: -21254413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15 - -65) + 4)*2\/3. Let y be h\/(-24)*(-4)\/(-6)*0. Solve 6*b + 16 - 16 = y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 2772?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*o - 3*r, -3*r + 4*r - 16 = -4*o. Which is the nearest to -1\/3? (a) 0.5 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nmmmmmmmmnmnnm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4*(-50)\/(-15). Suppose 1 + 5 = 6*g. Let s(y) = -3*y. Let b(u) = -u. What is g*s(w) + k*b(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 525254, 525367, 525486, 525611, 525742?\nAnswer: 525879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(85)*1*1*-2)\/(1*(sqrt(605) - (2*sqrt(605)*4 + sqrt(605)) - sqrt(605) - sqrt(605))).\nAnswer: 2*sqrt(17)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 385334354 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 815 divide 106242585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**5 + y**5 - y**5 + (-2*y - y + 2*y)*(-3*y**4 - 2*y + 2*y) + 2*y**5 + 0*y**4 + 0*y**4 + (y + y - y)*(4*y**3 - 3*y**3 + y**3)*(3*y + 0*y - 4*y).\nAnswer: 5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*p**3*q*z - p**3*q + 12001*p**3 + 87*p**2*q*z**3 with respect to z.\nAnswer: 25*p**3*q + 261*p**2*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7157.84136 rounded to one decimal place?\nAnswer: 7157.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -31062.379 rounded to the nearest one hundred?\nAnswer: -31100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1010 = -5*y + 2*p, -3*y - 388 = -5*y + 4*p. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1166 = -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -5 (b) -0.5 (c) 3 (d) 47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -13063*h - 78274. Calculate c(-6).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8020)\/10025*2\/8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -10131023 = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 35 + 10565*l**3.\nAnswer: 10565*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 6*w**2 + 6*w - 3. Let g be a(5). Suppose -n + 6*p = 3*p - 72, 4*n = g*p + 308. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2544609 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**2 - 180*l - 290. Calculate the remainder when g(-40) is divided by 106.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 10 = -65. Suppose -t = -6*x + 489. Suppose -10*r = -11*r + x. What are the prime factors of r?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -5*t**4\/12 + t**3\/3 - 10*t**2. Does 6 divide v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j*(j**16*j)\/j*j*j*j**9*j*j*j*j\/j**(-1\/29)*j*(((j*j**30*j)\/j)\/j)\/j assuming j is positive.\nAnswer: j**(1857\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Let t(b) = -b**3 + 3*b**2 - 2*b - 1. Determine t(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -706409 to the nearest ten thousand.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 193 = -2*i - 545, -5*i - 1109 = -3*c. List the prime factors of c.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3826 = 230*y + 12106 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 378842 times -0.0804\nAnswer: -30458.8968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6489, 6486, 6483, 6480, 6477?\n\"Answer: -3*z + 6492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -177 - -1241\/7. Suppose -2\/7*c**2 - v + 4\/7*c = 0. Calculate c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/13))\/(q*q*q**(-22)*q*q*q*q))\/(q**(-1\/4))**(-2\/5) assuming q is positive.\nAnswer: q**(2217\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (1*sqrt(300) - sqrt(300)))*-2)\/(sqrt(60)\/(1*sqrt(10))).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 15. Let i be k(19). Suppose 5*z + 8 = i*z. What is the tens digit of ((-10)\/z)\/((-10)\/(-120))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 735 and 18277.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -38.6. Which is the third biggest value? (a) -1\/3 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-6) - (2 - (-4)\/(-3)). Let s be (-1 - 11)\/(4\/6). Let k be o\/(-9) + (-86)\/s. Calculate the greatest common factor of k and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 16576098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3003, 3005, 3011, 3021, 3035, 3053?\n\"Answer: 2*x**2 - 4*x + 3005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -a + 1. Suppose -4*b - 36 = 8. Let z = b + 13. Solve -4*i - 2*q + z = -a, -29 = -3*i + 5*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269, 540, 811?\nAnswer: 1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3446 != -3445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11666387 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -9867\nAnswer: 3946.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1657*h**2 - 6*h + 0 + 4 - 2 - 3 + 6 wrt h?\nAnswer: 3314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o - 5. Let x(k) be the first derivative of 1\/2*k**2 - k - 1. What is -q(n) + 5*x(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 2*r + 43 - r**2 + 2*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/7 - 39657*o\/7 + 16609014\/7.\nAnswer: 3*(o - 12786)*(o - 433)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/3 + 1160*a**2 + 3481*a\/3 = 0. Calculate a.\nAnswer: -1, 0, 3481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-15)*(-2 - 38)\/4. Suppose -v*z = z - 60. What is the remainder when 53 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 2, 256, 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**4 - 3*z**4 + 4*z**4 - 3*z**4 + z**4 + 0*z**4 + (-5*z**3 + 2*z**3 + 2*z**3)*(z + 3 - 3) + 0*z**3 + 2*z**4 + 0*z**3.\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4702 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(-6 + 3 + 2)*(2*c + 3*c - 3*c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 - 48*r**3 + 189*r**2 - 276*r + 132.\nAnswer: 3*(r - 11)*(r - 2)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by -2103693\nAnswer: -80\/2103693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-4))\/j*j)\/j*j**(-8)\/j)\/(j**(1\/6))**32 assuming j is positive.\nAnswer: j**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0 - (-169 + 167)) + -4 + (-2 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 38. Calculate the highest common divisor of 6 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from rtrbrrrti?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 10:39 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287 divided by 5?\nAnswer: 1287\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2559*u - 5097*u - 2 = -2535*u - 32 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2958117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 307 - 137. Suppose 5*q + 4*w = q + z, -4*q = -w - 429. What is the greatest common divisor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3024) - 1*sqrt(3024)) + sqrt(3024))\/(-2*sqrt(363) - sqrt(3)).\nAnswer: -12*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377678531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 5. Let x(m) be the second derivative of m**5\/20 + 5*m**4\/12 + m**3\/3 + 2*m**2 + m. Let o be x(-4). Let j = o + -7. Determine l(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5 = -5*o. Is 4 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -259*c**5\/12 - 971*c**4\/12 - 81*c**2 + 4. Find the second derivative of f(d) wrt d.\nAnswer: -2590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/1659 + 54755\/6636. Let o = 314 - 354. Calculate the common denominator of b and 68\/o - (147\/(-35) - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(425) + 1)**2 + -4).\nAnswer: 40*sqrt(17) + 1688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -6.7. Let w = s + -0.8. Let t = -14 + 15. What is the second smallest value in t, w, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11606852191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufvv when four letters picked without replacement from uafvfv?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**5 - 7373*n**3 + 12844*n wrt n.\nAnswer: 20*n**3 - 44238*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*z = -w + 17, 4*w - 4*z = -4. Let t(y) be the first derivative of -3*y**4\/4 + 2*y**3\/3 + y**2 + 4*y + 2. Is t(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606935070 divided by -30870?\nAnswer: -19661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 53, 94, 141, 194?\n\"Answer: 3*c**2 + 26*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15611, -31229, -46847, -62465?\nAnswer: -78083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/108)\/((-1)\/34) and 7\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/(-2) + -6)\/((-3)\/8). Suppose -3*g + 47 = 2*z, 4*z + k*g = -0*z + 92. Suppose 21*i + 111 = z*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 5)*(-16*s**5 - 11*s**2 + 11*s**2) + (-4 + 4 - s**2)*(-6*s**3 + s**3 + 0*s**3).\nAnswer: -43*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -324 and 0.2?\nAnswer: -64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 2413395102460.\nAnswer: 2413395102460.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**2\/3 + 4*q + 494\/3 = 0.\nAnswer: -13, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 102 = -0*y - t, -3*y + 4*t = -306. What is the remainder when y is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1742, -1713, -1684, -1655?\nAnswer: -1626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -4 - (-13)\/((-65)\/10) - 16\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**12\/l**(-2\/27)*l**(-1\/10)\/(l*l**(-13\/4)) assuming l is positive.\nAnswer: l**(7681\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 4 - m + 3*m + (6 - 1 + 0)*(10*m + 0*m + 13*m).\nAnswer: 117*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**3\/2 - 3*r**2\/2 - 7*r + 28. Give s(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 + -50. Let w = 29 - 14. Calculate the remainder when (8 - 4) + (q - -51) is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19487*w + 19447*w = 1000 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2878 - 2334. Is 86 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 15\/8, 1\/5, -51057\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 66. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 15 = -4*o. Let t = 11 + -8. Let r be (1\/(-4))\/(-2*3\/48). Solve -3*f + 2*v = -t, 0 = -5*f + o*v + r*v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50703231934.9677317045 + 50703232054.6. Let s = -1.3677324345 - c. Let y = s - -121. What is y rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2954*d**2 - 8771\/2*d - 1029 - 7\/2*d**5 - 759*d**3 - 85*d**4 = 0.\nAnswer: -7, -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*b - 412*b - 145116 = 3901*b for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 9. Let r = -2916.9 - -2917. Which is the third biggest value? (a) -2\/5 (b) h (c) r (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9045234 divided by -274098?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1048 + -1049. What is the nearest to i in 1.6, -4, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, u: 2, p: 2}. What is prob of picking 2 p and 1 z?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1255, 4708, 10363, 18220, 28279, 40540, 55003?\n\"Answer: 1101*l**2 + 150*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7460*h + 7463*h = -4*y + 143710, 3*h + 3*y - 143703 = 0. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 350 - -3?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*w + w. Let r(f) = f - 2. What is the units digit of r(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, m: 11}. What is prob of picking 2 m and 2 w?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114 - -125. Suppose 0 = -5*b + 2*l + 51, -4*l + a = 4*b - 13. What is the remainder when (16\/3)\/(1\/3) is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqdqsrqqbqssbqqssqsq.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + 60 + 0 + 42.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-7))\/(10\/70). Let n = 3 + p. Let t = -1410 - -1420. Solve n*i = -15 - t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 + 0*z + 0*z - 49*z**3.\nAnswer: -45*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-8 - (-24 - -30)) - 9 - -76\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -4*n - 2*b, 4*n - 5*b + 3 = 0. Let c(o) be the first derivative of 0*o**2 + 0*o + 2 - 2\/3*o**n. Let h(j) = j. Calculate c(h(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(250) + sqrt(250)*-3).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.02 and -0.8?\nAnswer: 1.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 75047 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 5*u**2\/2 - 18*u + 16. Let y be r(5). Suppose -d = -13 - y. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 13*x**2 + 10*x - 30. Let i be w(12). Let g be (-18)\/189 + (-3838)\/(-70). Let o = i + g. Is 1 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3503\/78 - -275\/6. Put -2\/3, w, 1 in decreasing order.\nAnswer: 1, w, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-5))\/(13212\/6606 - (8\/(-5))\/2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*g. Let n(o) = 0*o + 3 - o + 4*o + g*o. Let h = -8 - -2. Let d(c) = -4*c - 3. What is h*n(z) - 5*d(z)?\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**(1\/30)*(u**0\/u)\/(u\/(u**(1\/6)*u*u)) assuming u is positive.\nAnswer: u**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 413?\nAnswer: -4\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13353936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/5343 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 203733, 407467, 611201, 814935?\n\"Answer: 203734*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)\/b*b*b**6*(b*b*b*b\/(b**1*b))**(2\/111))\/((b**(2\/7))**38*b**(-6)*b**(-1\/8)*b) assuming b is positive.\nAnswer: b**(-10543\/6216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1950)\/350)\/(-39)*-1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.027? (a) 2\/11 (b) -2 (c) -100143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18666563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 9*d - 8. Let w be t(8). Suppose w*j = -3*j + 177. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 3700*c**2 - 14740*c - 14720.\nAnswer: -5*(c + 2)**2*(c + 736)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2457 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -171, -572, -1333, -2568, -4391, -6916, -10257?\nAnswer: -14528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3}. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*x + 48 = 0, 0 = 2*g - 2*x - 0*x - 24. Suppose -3*p - 3*y + g = -6*p, 3*y - 12 = 0. Suppose -a = -p*a - 6. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 11.2877, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 9*q**2 - 12*q - 17. Let s be d(-10). Suppose s*z - 675 = -2*z. Let n = 191 - z. Does 37 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/17930 and -17\/70147.\nAnswer: 114339610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 = -15*q - 152 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - a = -907 + 203, 0 = -4*k + 4*a - 928. Let j = 527\/2 + k. What is the common denominator of j and 37\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10361 + -1?\nAnswer: -10362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/6 - 3475*l\/6 + 1738\/3 = 0.\nAnswer: -3476, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g**2 - 32*g**2 - 35*g**2 + (-g + g - 2*g**2)*(-3 + 2 + 0) + g - g + 2*g**2 + (1 - 2*g - 1)*(5*g - g - 5*g) - 3 - 4 - g**2 + 5.\nAnswer: -68*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v**2 - 3*v**2 - 2*v**2 - 73*v + 74*v. Let d(i) = -4*i. Give d(j(t)).\nAnswer: -16*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3731*j*q**4 + 80493*j + 11*q**4 wrt q?\nAnswer: 14924*j*q**3 + 44*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 4*v**2 - 2*v - 19. Give z(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 44 = -3*i, 0 = -25*i + 116 - 466 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 7*q**2 + 7*q + 10. Let o be t(-8). Let u be (-33)\/o*2330\/12. Let f = 58 - u. Is f at least as big as -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2060.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and 1708.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 12\/15349?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*l**2 - 7*l**2 + 13*l**2)*(10*l**3 - 6*l**2 + 3*l**2 - 8*l**3).\nAnswer: -172*l**5 + 258*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 2395.75, 1\/36, -0.1, -2\/19?\nAnswer: 2395.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*n**3 - 42 + 14 + 16*n**3 to y + q*n**2 + i*n + o*n**3 and give y.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39806 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (1 - (-2)\/2). Let h be 12 - o*6\/3. Suppose t = 2*v - h - 11, 0 = 3*t + 15. Solve 0 = 2*y + 4*z - v + 2, y + 4*z - 4 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1581.66 rounded to the nearest 10?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000941883978 to five decimal places.\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110120211 + -10200?\nAnswer: 110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 556 divide 646967610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 2*z + 21, 1068*z - 1071*z = -h - 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15867737 to the nearest integer?\nAnswer: 3983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 n, 1 c, and 1 e when four letters picked without replacement from {n: 1, m: 2, f: 1, r: 2, c: 1, e: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 20*b**2 + 85*b - 75 = 0.\nAnswer: -5, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -145, 5, -9\/2842 in decreasing order.\nAnswer: 5, -9\/2842, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1167)\/1*2\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 46 - 66 = 0, 5*d + 2*x + 20 = 0. What is the smallest value in 4, d, 56?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -505020 and -1.309847?\nAnswer: 505018.690153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4, 5*z - 99*m + 103*m - 297 = 0. Solve i + 5 = y, -4*y + i - 50 + z = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 44*i - 162. Determine u(-26).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (35 - 20) - 0 - (1 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 3*q + 15, -4*q = -4*n + q - 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/((220\/(-11))\/80).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4570 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*r + 19 = -177. Suppose -5*m + 9 = 4*p, -r*m + 8*m = -2*p. Solve -p = 3*s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -1637.26.\nAnswer: -8186.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkttlkktgggtdlttt. What is prob of sequence dl?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6*(o**(-1\/4)*o)\/o*o)\/(o**4\/((o**4\/o)\/o)) assuming o is positive.\nAnswer: o**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14010\/13 or 1077?\nAnswer: 1077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**4\/24 + l**3\/2 + 3*l**2. Let s be a(0). Solve -5*g - 13 = -s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 34*x + 72. Is o(14) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2220.3672 - 171188.\nAnswer: -168967.6328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1877090 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(392)\/sqrt(7))\/(sqrt(128)\/sqrt(4))*-3)**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173010.\nAnswer: 2, 3, 5, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 8*s - 4. Let d = 253 - 258. Let n(h) = h**2 - 10*h - 5. Let p(u) = d*i(u) + 4*n(u). Let g(q) = -6*q + 10. Determine g(p(x)).\nAnswer: 6*x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -7\/17826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 10:31 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -1.3\nAnswer: 0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 1 = n - 2*p, 2*n - 129 = -p. Suppose 2*d - 15 = -d. Suppose 2*k - d*k = -21. Calculate the greatest common divisor of n and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a week in minutes?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 8. Suppose 0*j - 4*j - 56 = 0. Let x be u(j). What are the prime factors of (-43)\/x - (-4)\/(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from {h: 3, q: 3, j: 2, x: 1, u: 1, c: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -321 + 330. Calculate the greatest common factor of 369 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -136 + 242. Does 27 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9200497?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 12. Suppose -5*a**3 + 0*a**3 - 15*a**2 - 3*a**4 - 6*a - i*a**3 = 0. What is a?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/5)\/(291\/4850)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44509.63 micrometers to millimeters.\nAnswer: 44.50963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1912 + -1907. Calculate the lowest common multiple of i and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -843772 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, t: 3, l: 2, q: 1, i: 1, e: 3}. What is prob of picking 1 i and 1 q?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from ncenwywwznww.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 860 at most 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + j - 9 = 0, 3*j = a - 2*a + 2. Suppose 4 + 1 = a*b. What is the units digit of (b - 0\/(-3)) + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**5 + 3*i**4 + i**2 + 1. Let a(l) = 661*l**5 - 18*l**4 - 6*l**2 - 839*l - 6. Let p(t) = a(t) + 6*s(t). What is the second derivative of p(k) wrt k?\nAnswer: 13340*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3 - 4*h + 6*h + 2*h + 2*h**2. Suppose 2*f + 1 = 3. Let d(u) = -u**2 - u - 1. Let b(p) = f*r(p) + 4*d(p). Find the first derivative of b(q) wrt q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-261)\/(-10) + (-2)\/20. Let g(x) = -x**3 + 29*x**2 - 73*x + 28. What is the units digit of g(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97550406 to the power of 1\/2, to the nearest integer?\nAnswer: 9877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*t**3*y**3 + 5*t**3*y + 21*t**2*y**2 - 20*y**3 wrt y?\nAnswer: 18*t**3 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03 and 5.0192.\nAnswer: 5.0492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a century in years?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 greater than -188\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 7*h - 3*h + 8, -3*h = 5*w. Let s = w - 6. Is 1\/((-2)\/(-118)) - s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 2 + 0)*(-4 + 2 + 0) + 3 - 1 + 0)*(-7 - 6*m + 7) in the form h*m + f and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 5724?\nAnswer: 5724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19228254 is divided by 414.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**4\/4 - 2*w**2. Let i(m) = -m**2 + 35*m - 114. Let q be i(31). Let o(k) = -k. Give q*o(l) - 2*s(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -16*i**7\/21 - 61*i**3\/6 + i**2 - 18*i - 1. Find the second derivative of k(o) wrt o.\nAnswer: -640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35083 * -0.7\nAnswer: -24558.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569 = 70*y - 5324 + 485 for y.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, 0, 48, -4 in decreasing order.\nAnswer: 48, 0, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4865 + -4017. Calculate the greatest common factor of 256 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 16235*n. Let f(o) = -10*o - 3. Determine f(b(h)).\nAnswer: -162350*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.2 - 4. Suppose 8 = 2*z + 2*z. What is the nearest to z in 3\/8, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8497700 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, i: 2, o: 2, z: 1, r: 1, n: 1}. What is prob of sequence xzin?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1695295?\nAnswer: 5, 7, 48437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 3:33 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9574?\nAnswer: 2, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -369, -719, -1071, -1425, -1781, -2139?\n\"Answer: -m**2 - 347*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3048157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**4\/4 - f**3\/3 + f - 2. Let t(g) = -4*g**3 - 3*g**2 + 2. Calculate -t(i) + 3*v(i).\nAnswer: i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 1583799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**3 + 5 - 5)*(-5 - 10 + 9)*(7*c - 10*c + 8*c) in the form d*c**2 + z*c**4 + y*c + p*c**3 + s and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*z + 14, 5*z + 0*z = -3*l + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 6*z - 9*z + 3 = 0, -4*l - 5*z = -50 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(((-2)\/28)\/(-1)). Let o(h) = h**3 + 61*h**2 + 62*h + 122. Let f be o(-60). Suppose -3*r = l - 56, f*l - 5*r - w = -0*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 3)*(2 + 3 - 6)*(3*s - 4*s - 7*s) - 3 + 1 - 2*s + 1 as r + o*s and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -89*t - 898*t**3 + 898*t**3 - 2*t**5 + 3*t**5 - 2*t**5 + t**5 + (-5*t**4 - 4*t**3 + 4*t**3)*(-t - 2*t + 0*t).\nAnswer: 15*t**5 - 89*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + 4*h + 2. Let s be t(3). Let z be 1\/s + 2\/8. Solve 5*l + 10 = 2*u, z = 4*u - l + 12 + 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10646*h**2 - 2 + 11043*h**2 + 2.\nAnswer: 397*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + u - 1 = 2, 5*u = -4*o + 3. Suppose 5*l + 19 = o*c, 3*l + l = 12. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 348 + 324 + 24.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (33 - (-103)\/(12051\/(-3870)))*(-24)\/(-2)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j**2 - 6*j - 16. Let g be x(-3). Which is smaller: g or -41?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3 - 3*f - f - 2*f + 3*f**2 + f**3. Suppose -6*s + 3*s + 45 = 0. Let t(x) = x**2 - 14*x - 19. Let d be t(s). Determine l(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5\/t**(9\/2))**(-15))**(-28) assuming t is positive.\nAnswer: t**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/913 - -1728\/44737. Is 1 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4251.572mg?\nAnswer: 0.004251572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3258349, -3258423, -3258495, -3258565, -3258633, -3258699, -3258763?\n\"Answer: o**2 - 77*o - 3258273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 16*q - 34. Let x be l(-18). What is the tens digit of (-110 + 4)*(x - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 + 174 + 36 + (-8 + 1 + 1 - -3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-672)*1*21\/30\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 5*d + 2*d)*(136 + 48 + 124).\nAnswer: -616*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 12.8, -0.1, -0.3, -2\/17 in descending order.\nAnswer: 12.8, 10, -0.1, -2\/17, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b + 56*b = -23. Sort -5, b, 2\/3, 4 in decreasing order.\nAnswer: 4, 2\/3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - j**2 - 40*j - 13. Let z be i(7). Which is the third smallest value? (a) -8 (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.68 and -0.2.\nAnswer: 0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -228917 or -229321?\nAnswer: -229321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82\/3 or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -226, -2\/7, 1, 1\/8, 3, 0.3, -3.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 2*o**2 - 24*o - 58. Let p be g(-3). Put 0, 2, -5, -8, p in ascending order.\nAnswer: -8, -5, 0, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiii. Give prob of sequence ii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374690?\nAnswer: 2, 3, 5, 45823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96 + -56. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*x, 4*w + 2*x - 12 = -2*x. Suppose -w*j = j. List the prime factors of 6 + (j - 2 - -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 10*s + 3. Let w(c) = 8*c**2 + c. Let d be w(1). Let b be n(d). Let j(t) = t**3 + 6*t**2 - 2*t - 11. What is the units digit of j(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -122 + (-2)\/6*(4 - 1). What are the prime factors of l\/(-11) + 2\/(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 922*y - 127336. Determine s(753).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -17*o + 121. Let u be j(-19). Let s = -364 + u. Calculate the smallest common multiple of s and 28.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 43071*r - 473778. What is d(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 20 = n - 0*n, 0 = 4*n - 2*p + 38. Let w = -126 + 119. Which is smaller: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.58 times 1040624?\nAnswer: -1644185.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2. Let x = -41 - -44. Let m(b) = b + 3. Let g be m(0). Let z(s) = -s - x*s + s - g*s. What is q(z(l))?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 200.000000478 + -200. Round z to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*z**2 + 529 + 716 - 1244 - 76*z**2.\nAnswer: 195*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 22833190 to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 4*a - 5*a = -19, 114*w - 99*w + 3*a + 63 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2*h**2 + 33*g**2*h + 31*g*h**2 - g*h + 6*g + 53*h**2 - 1 wrt h?\nAnswer: -2*g**2 + 62*g + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 - 15*j**2 - 3*j - 3. Let i(g) = 3 + 4*g**3 - 8 - 7*g + 4*g - 2*g - 22*g**2. Let q(c) = 5*i(c) - 7*n(c). Give q(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/272 and 129\/680.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.06 + 0.06. Let s = -0.001 + 0.051. Let l = s - 0.35. Which is the closest to -1\/4? (a) 0.3 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**3. Let c(o) be the first derivative of -5*o**4\/2 + o - 1. Let d = 140 - 142. Give d*c(m) + 7*b(m).\nAnswer: -m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/(-104) + (-7)\/8 - -40. Let p be 2 + 0\/(3 - 2). Suppose -p*x - 5 = -57. What is the highest common factor of x and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3366?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6038, 23604, 52878, 93860, 146550, 210948, 287054?\n\"Answer: 5854*n**2 + 4*n + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 32091817, 32091825, 32091843, 32091877, 32091933, 32092017?\n\"Answer: p**3 - p**2 + 4*p + 32091813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -5131 and 87.\nAnswer: -5044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5451481 and 14796877?\nAnswer: 103578139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -3, 1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/2799 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -670 >= -736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**3 + 3*s**3 - 18 - 3*s**3 - 2*s**3 as r*s**3 + k*s + b + o*s**2 and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102312212133 + -3?\nAnswer: 102312212130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -18*y**2 - 17*y - 8. Let s(h) = -12*h**2 - 11*h - 5. Let u(m) = -5*q(m) + 7*s(m). Suppose 0 - 26 = -2*k. Is u(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3730540 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 10 - 20 = 0. Suppose 4*p = -2 - l. Let o = p + 2. Solve o*z + 5*z = 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 10 = 15. Find the third derivative of 2*t**2 - t**5 + 3*t**c + t**5 - 6*t**5 wrt t.\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**3 + 2*k**2 - 10*k + 5. Let x(f) = 5*f**3 + f**2 - 11*f + 6. Let s be (-2)\/((-6)\/(-17)) + (-4)\/(-6). Let q(u) = s*x(u) + 6*t(u). Determine q(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -42924.\nAnswer: 5\/14308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155514133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 12*s + 22. Calculate t(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -7*b + 43. Let o be (-56)\/(-64) + b + (-38)\/16. Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (5 + 3 - (-109 + 95))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11542 (base 6) to base 10.\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98340 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/660 and -113\/18.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1469227884 to three dps.\nAnswer: -0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/172282 and -23\/318406.\nAnswer: 60815546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 4:13 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-7\/2)\/d)\/(d\/((d\/(d**(-19)\/d))\/d)))**(4\/13) assuming d is positive.\nAnswer: d**(58\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 4*y - 4. Let x(p) = -p**2 + 33. Let u be x(-6). Determine d(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 167 - 55. Suppose -22 + j = 3*c. Suppose -5*f = c*v - 61, -f + 3*v = -v - 21. What is the remainder when f is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15758 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 20 - 10 = 0. Suppose -k + 20 = k + 4*p, -l*p = -4*k + 40. Suppose -z - 3*z + 20 = 0. Which is smaller: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73488 is divided by 14355?\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -37*n**2 + 3. Let u(j) = -24*j - 3. What is v(u(i))?\nAnswer: -21312*i**2 - 5328*i - 330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -4*w + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i. Let z(f) = -4*f + 2*f + i*f. Let q(w) = -5*w**2 - 14*w. Let a(c) = 2*c**2 + 6*c. Let n(l) = 14*a(l) + 6*q(l). What is n(z(s))?\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 39*k + 10 - 15.\nAnswer: 39*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 3:29 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16372 and 0.07.\nAnswer: 1146.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -10. Let z be 2\/t - (-60)\/14. Solve z*u + 2*q - 12 = 0, 0*u + 3*q + 2 = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/2 + 144151*q\/2 + 24025.\nAnswer: (q + 48050)*(3*q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.6 - -1.6. Let m = 8.02 + t. Let o = -5.2 + 5. Which is the biggest value? (a) m (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40965?\nAnswer: 3, 5, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 234897 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - o**2 + 3. Let s be k(0). Suppose -3*h - 33 = -3*x, 0*x - s*h = -x + 15. Suppose -p = 4 - x. What is the remainder when 22 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7327366.76 + -0.3.\nAnswer: 7327366.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjbjbjjb. What is prob of sequence bb?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 0 - x + 1\/720*x**6 + 0*x**3 - 1\/15*x**5 + 0*x**2 + 1\/6*x**4. Let a(n) be the third derivative of t(n). Give a(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7471500 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4084*t + 22 = 4086*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 8:34 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -4158\nAnswer: 1\/4158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l - 13. What is the remainder when x(5) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 7*m + 5. Let h be x(-6). What is the units digit of 0 - -3 - h\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5\/2 - 21811*o**4\/2 + 809745*o**3.\nAnswer: -o**3*(o - 74)*(o + 21885)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + d - 5*d + 44 = 0, 0 = 2*v - 5*d + 22 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14344943 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - 6548?\nAnswer: -6537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/55*(-83)\/(2158\/2340).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6048229237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 8*m - 336. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03088 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5483367 - 0.0516373. Let g = -0.6 - s. What is g rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = q - 2*t - 48, 4*q - 4*t + 3*t - 44 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*x + 40. What is the greatest common divisor of 55 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1101241 - -243?\nAnswer: 1101514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - (1 - 0 - -1). Let f(z) = -2*z + 8. Let r be f(p). Suppose 5*b - 7 = m - r, -3*m = -5*b - 55. Calculate the lowest common multiple of m and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**4 + 5*v**4 - 6*v**4 + (v**3 + 2*v**3 - v**3)*(2 - 2 - 3*v) in the form h*v**2 + a + f*v**3 + u*v + r*v**4 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 151*b - 149*b = 8, 2*f + 5*b + 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2\/33, 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -56*b**3 + b. Let v be 2\/5*(-5)\/(-2). Let z be u(v). Let q = z + 78. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -3 - 1*-3. Suppose a - 4 = -f*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*l*m**3*p**3 - 3*c*l*p + 65*c*m**3 - 6*c*m**2*p**3 - 3*c*m - 405*l*p**3 with respect to l.\nAnswer: c*m**3*p**3 - 3*c*p - 405*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014629093 to seven decimal places.\nAnswer: 0.0001463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 bigger than 27044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5260 by -526.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*f - 2081 = 454 - 735 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4423020201 (base 5) in base 13?\nAnswer: 1ca52cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 28. Let y(c) = c**2 + 10*c - 8. Let t be y(d). What is the second derivative of -8*l**t - 1 - 8*l + 1 wrt l?\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f - 1 - 2 - 2 + 1. Let n be h(-4). Solve 8 = n*q, -5*t - 5*q = -0*q - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times -8141?\nAnswer: 219807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnrrrrrnrnrkkkr. Give prob of picking 3 r and 1 n.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.1 + -5.1. Let l = w - 20. Let f = 5.5 - 4.5. Sort -5, f, l.\nAnswer: -5, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9541.936ml?\nAnswer: 9.541936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t - 4*t)*(-t + 2*t - 3*t) + (-5*t**2 - 2*t**2 + 11*t**2)*(-2 + 1 - 1).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfz when three letters picked without replacement from ffzzzzzzfzz?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148757?\nAnswer: 7, 79, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 4\/21*f**7 + 0*f**6 + 0*f**4 - 1\/3*f**3 + 0 + 0*f**2 - 4*f + 0*f**5. What is the second derivative of t(w) wrt w?\nAnswer: 160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -0.11193.\nAnswer: -2.88807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**3*p**4 + 10*d**3*p**2 + 168*d**2*p**6 + 8*d**2*p**2 - 2*d*p wrt p?\nAnswer: -48*d**3*p + 20160*d**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -i - 3*n - 1, -19 = -5*i - 2*n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -211700*f + 475322 wrt f?\nAnswer: -211700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 690 divided by 5.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 10 = -5*z, 5*l - 1556 = -131*z - 2196 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424102 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7145, -7134, -7107, -7058, -6981, -6870?\n\"Answer: r**3 + 2*r**2 - 2*r - 7146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1358393*u**2 + 2*u - 567250?\nAnswer: -2716786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -437, -467, -555, -731, -1025, -1467, -2087, -2915?\n\"Answer: -5*n**3 + n**2 + 2*n - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 45841003?\nAnswer: 3\/45841003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 320254369 to the power of 1\/2, to the nearest integer?\nAnswer: 17896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -83, -81, -67, -35, 21, 107, 229?\n\"Answer: n**3 - 5*n - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -0.04020445.\nAnswer: 0.04020445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 = -11. Suppose -t - 3*h = 810015, -8*h = m*t - 3*h + 4050025. Round t to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -i - 4*g, -4*g = -g + 15. Suppose -7*c + 10*c - 6 = i. What is the third derivative of 0*b**4 + 7*b**4 - b**c - 3*b**4 wrt b?\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 1. Let i be j(1). Let p(s) = -1 + 1 + i*s - 2*s. Let h(t) = -4*t**2. Calculate p(h(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4288176\/65 or -65971?\nAnswer: -65971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -1)\/((-2)\/24). What are the prime factors of (0 + l\/(-14))*-14?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2765 less than 2877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*l - l - 110960976, 83220717 = 3*l + 3*x. Let f = -16940243 + l. Round f to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 at least as big as 751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50747251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 41416\/112 - (-51)\/238. Calculate the highest common divisor of x and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3593 + b9?\nAnswer: -3496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2158 (base 11) to base 15.\nAnswer: -c9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 5. Suppose 5*g = 5*v + 10, -2 = -3*g + d*g. Let h(m) = -174*m + 4. Let n be h(v). Round n to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 19*g - 18*g - 5, -4 = -2*g. Let s = -15570 - -27883. Suppose 0 = z*h + 4*h - s. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y - 252 = 32*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 7 = -4*s - 3*j, 0 = 4*s - 5*j + 7. Calculate the lowest common multiple of 3 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 5 - 10)*(3 - 5 + 4)*(2*q - 2*q - 3*q**3) - 332*q**2 + 332*q**2 + 164*q**3 to the form f + n*q**3 + l*q**2 + o*q and give n.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 16. Let j be u(-15). Let m(l) = -l. Let b be m(j). Let t be (2 - 1)*0\/2. Solve -f = -b - t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -4*w**3\/3 + 7*w**2 + w. Let v(b) = -4*b - 26. Let f be v(-5). What is the remainder when u(f) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114 - -115. Put -1, -30, o in descending order.\nAnswer: o, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7a744 - 4?\nAnswer: 7a740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - 51*x**2 + 5*x**3 + x**3 - 4*x**3.\nAnswer: -x**3 - 51*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6529 - -6794. What is the highest common factor of c and 2279?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1024*o = -46713 + 7801 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is -1*31\/((-589)\/19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -333177 or -2332231\/7?\nAnswer: -2332231\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/8*7\/105.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*h**6 - 23662*h**4 - 732*h**2 + 30*h + 11 wrt h?\nAnswer: -4080*h**3 - 567888*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3958 - -4054. Calculate the remainder when 159 is divided by g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(152)\/(sqrt(968)*1).\nAnswer: -5 + sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.0085, 6, 0.1, 4, -2\/1549?\nAnswer: -2\/1549","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 2*t**2 + 6*t + 15. Let f be v(-3). Suppose -24 + 24 = -2*a. Suppose a = -2*o - 7 + 7. Solve o = f*g - 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 8:33 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16257 in -1, 2.1, 0.4, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -104760053, -104760052, -104760051?\n\"Answer: a - 104760054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2386 divide 50733518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a factor of 2545536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -2*s**3\/51 - 50*s**2\/17 - 1250*s\/17 + 100. Factor w(o).\nAnswer: -2*(o + 25)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a = 12*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2 = -2*x - 1, -3 = -3*t. Suppose x = 3*i - i + 8. Let p(v) = -2 + v + 3 + 0. Let r(y) = y**2 - 4*y - 4. Determine i*p(j) - r(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-4)\/(-2)))\/((-2)\/3)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - c + 19 = 0, 0 = -3*x - 2*c - c - 33. Let u be ((-535)\/(-30) - 1\/x) + -3. Suppose -48 = -5*z - 2*a, 0 = -z - 4*a + u + 9. Solve b + z = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 2:31 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17 - (-1)\/((-5)\/25). Let s be 19 + f\/(-4) - -1. What is the highest common factor of s and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-2)*(-39)\/(-12) - -3. Let j(c) = -8*c**2 + 3*c + 12. Let t be j(-5). Let o = 405\/2 + t. What is the closest to 1 in o, -2\/15, l?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*s**2 + 0 - 1\/2*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6113656*u**4 - 1374920*u wrt u.\nAnswer: 73363872*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 10*x - 8. Let p = -23 + 29. Let o be r(p). Calculate the remainder when (-4 - (-276)\/8)*o is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 47 = -2*z, 2*o - 57 = -2*o - 3*z. Suppose 5 + o = 5*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2. Let t(b) = 985*b. Give w(t(q)).\nAnswer: 1940450*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 102*g - 134. Let n be h(8). Let r = n + -38. List the prime factors of r.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157 (base 8) to base 5\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/17*24\/32*4\/1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 8:12 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 425\/176 at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**4\/12 + 4*f**3\/3 + f**2 + 228*f - 3. Suppose 0 = -0*r - 2*r + 2. Let o(a) = a. Give r*x(g) - 5*o(g).\nAnswer: g**2 + 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -5254*c - 4522*c + 3450*c - 12611*c as y + k*c and give k.\nAnswer: -18937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12210351493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**3 - 6*q**2 - 12*q. Let v be u(4). Suppose 15*i - v = -3. Which is the fourth biggest value? (a) 1 (b) 1\/8 (c) i (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttpt when four letters picked without replacement from ttppptptpt.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 4*i + 124 - 136, -4*i = -14*j + 56 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, -5, 1, 5, 0 in decreasing order.\nAnswer: 120, 5, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.55 - 2.55. What is the nearest to -0.2 in q, 11, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y. Let f be ((-8)\/(-6))\/(1\/(-3)). Let j be q(f). Suppose 0*o - 2*o - 20 = 4*a, 0 = -j*a - 16. What is the second biggest value in -4, o, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -45*h**3 + 5*h**2 - 11*h - 19. Is i(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -576*q**4*y**3 + 651*q**3*y**3 - 2*q*y**3 - 4104*q*y**2 - 2*q*y + y**3 + 2*y**2 wrt q?\nAnswer: -6912*q**2*y**3 + 3906*q*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 975\/(-117)*(72\/10)\/(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1112 - -332313?\nAnswer: 331201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**4\/30 - s**3\/5 + 2*s**2\/5 + 10*s. Suppose m(o) = 0. Calculate o.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 11*t**4\/12 + t**2. Let c(k) = -3*k - 2*k - 8*k + 14*k. What is c(a(u))?\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 3395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 82\/8 - 4\/16. Let j be (4\/(-10))\/((-2)\/m). Let g be j\/3 + (-30)\/(-9). Solve d - g*d = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 56 = -6*c, 2*s + 11181 - 11165 = 4*c - 8*c for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.22732 centuries to millennia.\nAnswer: 0.322732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -165761625 divided by -375?\nAnswer: 442031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -3. Suppose 2*w + 1 = -3*f, 0 = f + 4*w + 20 - 3. Suppose -l*a + 7 = -f. Solve -2*d + y = 10, 2*d + 4*y = a*y - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*-2*sqrt(95))\/(sqrt(405) - ((sqrt(405) + 2*sqrt(405)*2 - sqrt(405)) + sqrt(405) - sqrt(405)))*6.\nAnswer: -20*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 364, 508, 652, 796, 940?\nAnswer: 1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**3 + 82*w**3 - 111*w**3 + 13*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*z + 60*z - 5 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 a factor of 2636620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 26*f + 149. Let p be n(-18). Let k be (1\/(-4)*1)\/(22\/22). Which is the nearest to -0.5? (a) p (b) 3\/5 (c) k (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 60. Let a = -1945 + 13665\/7. Find the common denominator of 1\/1 - 309\/q and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9353102 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 + 3*v**2 + 8*v - 4. Calculate the remainder when d(5) is divided by 133\/(-798) + 5613\/198 - 2\/11.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (-4 - (-40)\/6))*3. Put -3, b, -4, 4 in descending order.\nAnswer: 4, b, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -55, -10, 57, 140, 233, 330?\n\"Answer: -m**3 + 17*m**2 + m - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*u**2 + 5*u**3 + 13*u**3 + 8*u**3 + 8*u + 17*u**2 + 47 - 25*u**3 to j + v*u + s*u**3 + l*u**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 72*h = 158 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28312 + 9674?\nAnswer: 37986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 69 + 3 = 0. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10a - -3?\nAnswer: 10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/144*-40)\/((-90470)\/654).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and 31.1?\nAnswer: 0.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czy when three letters picked without replacement from {z: 2, y: 5, c: 2}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kckc when four letters picked without replacement from ccccckcccck.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/((-5)\/(-12 + 17)). Let j(g) = -4*g**2 - 38*g - 16. Let d be j(p). Factor -1024\/21 - 16\/7*u**d - 128\/7*u - 2\/21*u**3.\nAnswer: -2*(u + 8)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*m - 65 = -89, 0 = -3*a - 4*m + 25. Let 492*g + 4*g**a - 13*g**2 + 804*g - 71*g**2 - 60*g**2 = 0. What is g?\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3973a (base 13) to base 4.\nAnswer: 122003000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 15*u**2 + u - 1. Let w be a(1). Suppose -3*f - w - 6 = 0. List the prime factors of (3 - 4)\/(1\/f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:05 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*b**4 + 2*b - 2 + 3\/2*b**2 - b**3 = 0. Calculate b.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*r**2 - 15*r**2 - 7*r**2)*((6*r - r - 3*r)*(-1596 + 569 + 755 + 612) + r - 3*r + 0*r) to the form i*r**3 + b*r + j + t*r**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4382084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 73317?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 7*p**2 + 4*p - 4. Let y be c(-4). Suppose -18 = -4*d - s, -4*d + s = -3*s - y. Solve -2*j + 3*k = -3, -4*k + 0*k = -d*j - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 357 divide 1560804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 11.489084698.\nAnswer: -17.489084698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -370*s**3 + 2*s**2 - 392*s - 2. Let r(t) = -t**3 + t**2 - 2*t - 1. Let q(o) = n(o) - 2*r(o). Find the second derivative of q(h) wrt h.\nAnswer: -2208*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*c = 2440*c - 71577 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -1\/7 (c) -2 (d) -7 (e) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -697417 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-8)*133\/665\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence got when three letters picked without replacement from {t: 1, s: 8, g: 1, p: 1, o: 4}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -901490 or -901509?\nAnswer: -901509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23858, -23877, -23934, -24047, -24234, -24513, -24902, -25419?\nAnswer: -26082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894.\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3 + 0 = -a, -3*a = -k - 74. Let v = a + 9. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s = -20. Suppose 3*b - 4*h - s = 0, -2*b + 3*h + h = 0. Let y = -2 + b. Solve -5 = a - y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*l**3 - 99*l**3 - 107*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 321513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-226 + 4*m**2 + 226)*(3 - 4 + 3 - m**2) to o + h*m**3 + j*m + w*m**2 + d*m**4 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by -106\nAnswer: 65\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*z + 5*q, 4*q - 75 = -5*z - q. Suppose 17 = 3*f - z. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.7 + 6.9. Let d = -499598 + 499596.799945. Let x = p + d. Round x to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/33*(-3)\/24*3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/3))\/b)**6\/(b**(-1)*b)**(-2\/5))\/((b**(1\/3))**(-3\/2)\/((b*b**(-2))\/b)**19) assuming b is positive.\nAnswer: b**(-71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by (4\/44 - (-3375)\/385)*7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2460369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/8 - 18835*b**2\/8 - 37667*b\/8 - 18833\/8.\nAnswer: -(b + 1)**2*(b + 18833)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/12 + (-2)\/(-2). What is the closest to -1\/3 in z, 4, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -747826000 to the nearest 1000000.\nAnswer: -748000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 1:21 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0342 and -1.1?\nAnswer: -0.03762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/9 - (-200)\/180. Solve -s = -2*x + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 58. Suppose -3*d = 2*s - c, 4*s + d = 4*d + 73. What is the greatest common factor of s and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000680152454 to six dps.\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167149 is divided by 82284.\nAnswer: 2581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630747 to the power of 1\/2, to the nearest integer?\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/3 - 406*c\/3 - 136 = 0. Calculate c.\nAnswer: -1, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 - 2*m**5 + 2*m**5 + (0*m + 0*m - 3*m)*(-37*m**2 + m**4 + 34*m**2 - 26*m**4).\nAnswer: 77*m**5 + 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vpivci?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**4 - 11*p**4 - 9*p - p**4 wrt p?\nAnswer: -156*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, z: 1, c: 1, k: 1, g: 1}. Give prob of sequence gza.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 778 divided by 6.\nAnswer: 389\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q - 58. Let c(m) = 6*m. What is c(n(h))?\nAnswer: 24*h - 348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*h**2*r*z + 3*h**2*z + 2*h*r*z + 63*h - 283*r*z + 18*z with respect to h.\nAnswer: 18*h*r*z + 6*h*z + 2*r*z + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-26) + (-11355)\/9841.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -47 - (-5986 - -6056)\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -754 divided by -26?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eeseeessees?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a factor of 100442043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 6*x**2 + 5*x - 7. Let a = -24 + 17. What is the remainder when 12 is divided by y(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89811592*g**2 + 66535808*g wrt g?\nAnswer: 179623184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140552, 140557, 140572, 140603, 140656, 140737, 140852, 141007?\nAnswer: 141208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1197 and 48111?\nAnswer: 2742327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19 (b) -3\/8 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (5 - 8 - (-1 + -5) - 5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) 5 (b) -319 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 622088?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 1\/2, 2\/11, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174845 is divided by 534?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 206.48 and 1.089?\nAnswer: 224.85672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 3*f - 78 = 0. Suppose -3*s - 215 = f. Is 30\/(-4 - s\/16) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 2022*o**2 - 83280*o + 840800.\nAnswer: 2*(o - 20)**2*(o + 1051)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (264\/(-330))\/(1*1\/(-15)*1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z + 1. Let m be n(-3). Let l(i) = i + 38. Let s be l(0). Calculate the greatest common factor of m and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 - 46*i**2 + 4*i + 29. Let m be ((-230)\/(-15))\/((-24)\/36). Let p be s(m). Which is bigger: -61 or p?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**4 + 3537*s**3 - 1040760*s**2 - 1044300*s = 0.\nAnswer: -1, 0, 590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3274, 3285, 3296, 3307?\nAnswer: 3318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33267819 and 507.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 != 219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2136151879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11097 + -11216. Does f = -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**3 - 6*u**2 + 5*u + 20. Let z(h) = -14*h**3 - 29*h**2 + 27*h + 99. Let b(x) = 11*a(x) - 2*z(x). What is the second derivative of b(l) wrt l?\nAnswer: -30*l - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3976442\/56057 - -2057\/29. Let i = -100754811857 + 4674217231412639\/46392. Let h = i - b. Calculate the common denominator of h and 47\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/641 - -12175\/2564. Determine b, given that -7\/4*b**5 + 1\/2*b + 1\/4*b**2 + f*b**4 + 0 - 15\/4*b**3 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*i + 183 - 264 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -11*q**3. Let b be n(2). Is (-3240)\/b - 4\/(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2553 and 138?\nAnswer: 5106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one third of a minute?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = 8*t - 141. Let o = 32 + t. What is the remainder when 81 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (13 + (22 - 10))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 2\/31125 (c) 5\/4 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 2. Let v be b(-2). Let m be 2*(v\/4 + -1). Let w = 0 + m. What is the biggest value in 0.5, w, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0676 + 6.4576. Let z = 6.29 - c. What is the closest to z in 4, -5, 20, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/54*(-3)\/(-10). Which is the nearest to -0.2? (a) 5 (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252.3094 hours in seconds?\nAnswer: 908313.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 19 = -h - 0*h, -5*i - 3*h + 50 = 0. Suppose -47 = 4*b - 5*a - 14, 0 = 5*b + 3*a - 5. Sort 4, i, b in descending order.\nAnswer: i, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/30702 and 89\/24?\nAnswer: 122808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 3109 = 12*s - 5*z, 0 = s + 4*z - 1034. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 187 - 171. Suppose 3*z + 2*z - 75 = 0. Which is bigger: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 14 = 4*b. Suppose 10*s - 115 = b*s. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-450 - 0)\/((-684)\/15 + -2). Let b = 168\/17 - t. What is the third smallest value in 5, -7, b, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**9\/30240 + d**6\/144 + d**5\/30 + 2*d**2. Let o(f) be the third derivative of s(f). Find the first derivative of o(p) wrt p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**2\/4 - 77*j\/2 - 745\/4 = 0.\nAnswer: -149, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 813913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14 + 3)*(-5)\/5. What is the second smallest value in -2\/9, v, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10087 and 3655162.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -424.9981469934.\nAnswer: -419.9981469934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51404, 51403, 51402, 51401?\nAnswer: 51400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z - 31. Let t(o) = 58*o + o - 58*o. Determine -4*t(p) - x(p).\nAnswer: -p + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36407, -72801, -109205, -145625, -182067, -218537, -255041?\n\"Answer: -q**3 + q**2 - 36390*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**2. Let r(n) be the first derivative of n**3\/2 - 5*n - 1. Let d(v) be the first derivative of r(v). What is d(i(q))?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5*(-4 - -6) - (-1 + -1))*66 is divided by 201?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*f + 4*f - 12 = 0, -5*g + f - 3 = 0. Let i = 3.7 - 3.49. Let n = 4.21 - i. Sort g, -5\/2, n in decreasing order.\nAnswer: n, g, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 14*d - 15. Let k be 1\/3 - 140\/(-12). Calculate the remainder when 26 is divided by p(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1320*c + 10635. Determine o(8).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 52 - (-2 - -1). Let n = -14 + q. Does 26 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*n - 51*n - 5*n**3 - 18*n**3 + 24*n.\nAnswer: -23*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8346151 to the power of 1\/2, to the nearest integer?\nAnswer: 2889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -2517.1765 and -9547019.\nAnswer: -9549536.1765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) -52\/3 (c) 2\/7 (d) 7\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -5. Let a(f) = -f**3 + 5*f**2 + f - 2. Let w be a(s). Let z(h) = w + 2 - h + 3*h - 4*h. What is z(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -643497\/52 + 12375. What is the common denominator of r and 1\/78?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2)*(-31*z + 17*z + 66*z)*(0 + 7 - 2) in the form o + m*z and give m.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 45*u**2 + 39*u - 215. Let z be y(-44). Solve f = 2*c - 2*f - 21, 3*c - 34 = z*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/11*-9*(-7)\/(-42)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 12*m - 13*m + 13, 0 = -2*y - 3*m - 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1024 + 33031?\nAnswer: 32002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/5 - 17983176*p**2 + 359663472*p\/5 - 359663456\/5.\nAnswer: 4*(p - 22478966)*(p - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 15*r + 2 = 0. Suppose r*j - 12*j - j = 0. Solve 3*d - 17 + 2 = j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -5. Let j(m) = m. Let n(w) = 3*w + 1. Suppose -69*i + 20 = 37 + 52. Calculate i*n(u) + v*j(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/75 of a minute?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5)\/(r\/(r*r**(-4)*r)))\/((r*r**(-2)*r*r)\/r)**(1\/14) assuming r is positive.\nAnswer: r**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 458450 times -1\nAnswer: -458450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*k - 4*r, -6*r = 6*k - 3*r + 11 - 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 3\/4)*4. Determine z so that b*z**2 - 1 + z**2 - 4*z**4 + 0*z**4 - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 3*y - 2. Let s(b) = -2*b**2 + 17*b - 2. Calculate the remainder when s(7) is divided by c(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 9910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33\/8 - 255\/56. What is the closest to 2\/9 in 5, 0.1, 0, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/213981419?\nAnswer: -3\/213981419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43960.\nAnswer: 2, 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9933, -19864, -29797, -39732, -49669, -59608?\n\"Answer: -q**2 - 9928*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65537987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 507781312597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 x when three letters picked without replacement from {x: 2, t: 1, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 less than -155?\nAnswer: -737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2\/7 - 4759044*m\/7 - 38072096\/7.\nAnswer: -4*(m + 8)*(m + 1189753)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*a + a + 4*a)*(-2*a**2 - 2 + 2) - 56*a**2 + 56*a**2 - 4*a - 3*a**3 as p*a**3 + o + m*a**2 + k*a and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*q**2 + 23 - 23 + 10*q**2 as s*q**2 + i*q + f and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -937 + -11348?\nAnswer: -12083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 30 = -2*g, 16455*g - 8230*g - 4*r - 55 = 8228*g for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whm when three letters picked without replacement from {w: 1, g: 2, i: 1, h: 2, m: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 9*u - 2. Let n be w(8). Let j be 3\/n*2 - -63. Calculate the greatest common divisor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*k - 127585 - 128915. Is 57 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**3 - 2*j**2 + 2*j - 1. Let d be v(1). Does 4 divide (-688)\/(-56) + d\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481.2442563569 minus -0.2?\nAnswer: 481.4442563569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1, -15, -45, -97, -177?\n\"Answer: -z**3 - 2*z**2 - z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4586*v + 4589*v - 5 = -5*a, 4*v - 4*a - 1 + 5 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaqaqqqqraaaraqqq. What is prob of picking 3 q?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**2 - w**2 - w**3 - 2*w + 0*w**2 wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 15*q**2 + 11*q - 10. Let i be b(14). Let s = -161 + i. List the prime factors of s.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -3, 9, 2, -0.188, 5 in increasing order.\nAnswer: -3, -0.188, 2\/3, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 273560, 273544, 273528?\n\"Answer: -16*r + 273576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(9\/3) - 1. Suppose 3*f + 17 = -i*q - 2*f, 2*q - f - 13 = 0. Suppose 0 = -u - q*x + 1184, -3*x = 2*x + 20. Round u to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4294 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 341*r + 279*r + 458*r in the form g*r + q and give g.\nAnswer: 1078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 0 + 3\/(-3 - -6). Determine t, given that 64*t - 204 + 885*t**j - 889*t**2 - 52 = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 327 = -163. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {t: 2, h: 9}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 3, 9465, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -594 - -617. Suppose o*w - 26760 = 3*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 f = -5 + 2. Let x = 92190522\/209 + -441102. Let z = -22\/19 + x. Which is the second smallest value? (a) 4 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*g + 8 + 10, 16*f + 4*f = 18*f + 25*g + 127 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 1736068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1132157583?\nAnswer: 3, 607, 207241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*(sqrt(275) + -2*(sqrt(275) + 0)))**2 + (((sqrt(275) - (0 + sqrt(275)))*-1 + sqrt(275))*5 + -3)**2.\nAnswer: -150*sqrt(11) + 7988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972) - 1*(sqrt(972) + 2*sqrt(972) + sqrt(972)))\/(4*sqrt(36)*-3).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/4774765 and -5\/789.\nAnswer: 14324295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3284*z - 14 - 29 - 22 + 65.\nAnswer: -3284*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*s - 7 - 6 = 0, -42 = -2*x + 5*s. Let t be (-2 + (-7)\/(-5))\/(756\/(-5040)). Solve -1 = -t*l + x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 16*t**2 + 14*t - 15. Give p(15).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (10660\/120)\/41 - 2\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657981.\nAnswer: 3, 29, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -4*a - 2*n - 3*n, -88 = 5*a - 3*n. Let h = -6 - a. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 17580\nAnswer: 2\/4395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*p + 13104 = -17*p. Is (-2)\/(28\/(-91066)) + 96\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 348 - 348. Suppose -5*p + h + 63 + 4 = n, -3*p + h + 39 = 0. Solve -9*m = -p*m - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1250077 divided by 4\nAnswer: -1250077\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + ((sqrt(224) - sqrt(56))*-3 - sqrt(56) - sqrt(56)))\/((sqrt(96) + sqrt(96) + sqrt(96)*1 + sqrt(96))\/sqrt(12)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from wwwyuwwwwwyyyyywu.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3390128010?\nAnswer: 2, 3, 5, 19, 23, 86197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420\/(-18) - (-5610)\/(-990).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h. Let m(b) = b**3 - 8*b**2 - 9*b - 3. Let y(t) = 8*t**3 + t. Let w be y(1). Let f be m(w). What is n(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/60 and -29\/14.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q - 6*q + 6*q - 2*q + 2*q + 2*q + (1 - 3 - 3)*(-q + 0 + 0) + 2*q - 2*q + 2*q.\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -913, -5, -4, 2\/9, -1\/4 in decreasing order.\nAnswer: 5, 2\/9, -1\/4, -4, -5, -913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -57, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s - 10. Let p be m(6). Solve -3*i - v = 11, 29 = -p*i - 3*v - 2*v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1665 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(-1) - -4 - -3 is divided by 4\/(-6)*12\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 3*g**2 + 3*g - 7. Let y be w(3). Suppose 4*a = -10 - y. Let h be a + (-3 - 92\/(-15)). Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2719 - 11*a**2 - 2734 + 8210 + 2*a - 2737.\nAnswer: -11*a**2 + 2*a + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 10. Let a be u(7). Let k = a + 10. Let y(z) = z - 3. Let f be y(k). Solve f = -4*t, -5*b + 2 = t + 2*t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/j**1*j)\/j**9 assuming j is positive.\nAnswer: j**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18\/35 - 272\/665. Let l = -0.4 - 0.1. What is the biggest value in z, 3\/7, l?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**4\/5 - 9178*w**3\/5 - 10543206*w**2\/5 - 31510406*w\/5 + 42062792\/5 = 0.\nAnswer: -2293, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 1. Let g be ((-2)\/6)\/((-1)\/(-15)). Let b(s) = -1. Let w(p) = 3*p - 2. Let q(j) = g*b(j) + w(j). Give -8*d(c) + 3*q(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((-12)\/(-66)) - -2. Is 19 a factor of -3 + 189\/(-9)*(1 - q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 19*f + 30. Let m be c(-17). Let k be 799\/153 + -1*m\/(-18). Suppose t - 2*t - 323 = -4*z, 0 = z - k*t - 95. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 486 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -232*z - 364. Let h(u) = -107*u - 169. Let j(m) = -28*h(m) + 13*x(m). Let n(c) = 34*c**2. Give n(j(k)).\nAnswer: 13600*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - j + 5 = 0, 8*l - j + 5 = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4390623t to nanograms.\nAnswer: 439062300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/18*-2*-213. Let r be 3\/9 + l\/3. Suppose -5*f + r = -f. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -10. Let u = 6 + g. Let z = -0.8 - -0.7. Which is greater: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25284.5689 + 25287. Let g = j - 38.3691. Let s = 36 + g. Round s to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*k + 78 + 24 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9325878 times -46\nAnswer: 428990388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 190439 and 190440 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 4*h**2 - 5*h - 7. Let j be t(5). Let c be (-2)\/j + (-33)\/(-7). Suppose c*l - 104 = -9. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2 - 2*l. Let w be u(2). Let v be (12\/w)\/((-2)\/(-8)). Suppose -v*i + 0*i = -2*j + 13, -18 = -4*j - 2*i. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p - 2 + 2 + (-3 + 3 - p)*(2 - 2 + 1) + (-5 - 2*p + 5)*(-24 - 23 + 33).\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15018 + 23273. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -42047, -83869, -125691, -167513?\n\"Answer: -41822*d - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/8 != 712.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5*t + 1415, 5*i + 1092 = 9*i + 4*t. Solve -h - 272 = -i for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**35*v*v*v*v))**10 assuming v is positive.\nAnswer: v**(-390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -296 divided by 2.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 - 84. Suppose z = -5*f + 47, 7 = -6*f + n*f - z. Calculate the remainder when 13 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from {a: 2, b: 3, x: 2, g: 6}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1526391217 by -462683.\nAnswer: -3299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25094*j**3 - 17735*j**2.\nAnswer: 150564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + sqrt(98) + -2 + -3.\nAnswer: -5 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2\/13*c**2 - 2\/13*c + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 3 + 0)*(5 - 3 + 0)*(-2 - 3 + 3)*(2*x**2 + 5*x**2 - 6*x**2).\nAnswer: -56*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -21. Let x = i + 14.36. Let a = 2.21 + x. Round a to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1068*j - 15. Let k(h) = -13882*h + 198. What is 5*k(z) + 66*s(z)?\nAnswer: 1078*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 65\/104*(-4)\/(-10). Which is the closest to 0.1? (a) n (b) -3\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2237*f**3 - 16*f**2.\nAnswer: -13422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**5 + z**3 - z**2 - z + 1. Let p(b) = -3*b**5 + b**3 + 3*b**2 - 50*b + 1. Let a(h) = -p(h) + q(h). What is the second derivative of a(c) wrt c?\nAnswer: 40*c**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k + 470 - 598 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.16 + -0.34. Let l = 238 - 1194\/5. What is the closest to -2 in -3\/7, l, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -3864a7?\nAnswer: -3864b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 21 = 2*c, -4*c + 7*c + y + 11 = 0. Let s(n) = -n - 1. Let l be s(c). What are the prime factors of l + (-2 - -13) + -2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -30, 182 in decreasing order.\nAnswer: 182, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2376 (base 8) to base 14.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 3*n - 9 = -15*r, -3*n - 6 = -3*r. Sort -5, 2, r, -48 in increasing order.\nAnswer: -48, -5, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to 13844\/17067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 859*a - 858*a = -4*h + 340, 3*a = 24. What is the remainder when 2359 is divided by h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-3)*7258\/381045.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 10 = -3*g, 0 = 5*d - 5*g - 150. Suppose -19*i - 28053 = -d*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 4) + (1 - -2). Suppose -7*m + 684 = 2*v - 2*m, g*v + m = 700. Let w = -171 + v. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c - 12*c**2 + 20*c + 5 - 3*c - 9*c. Let o be t(-1). Suppose 0 = -3*m - 4*f - 6, 2*m - f - 4*f + 27 = 0. Is m at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 2. Suppose 0*p - j*m = -3*p + 3138, 0 = 4*p + 2*m - 4184. Suppose 0 = 4*u - 5*g - p, 0*u + 4*g + 267 = u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-1))\/(-3 - -2). Let k = 24 + b. Suppose 108 = -12*a + k*a. Calculate the greatest common factor of a and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 7*k**3 - 247*k**2 + 3*k**3 + 213*k**2 - 96. Find the second derivative of i(u) wrt u.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3058, -3094, -3154, -3250, -3394?\n\"Answer: -2*p**3 - 22*p - 3034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2. Let y(b) be the third derivative of b**7\/2520 - b**5\/60 - b**2. Let f(o) be the third derivative of y(o). Determine f(s(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -8*f + 12. Let z(l) = 3*l**2 - 2*l. Let k be z(-2). Let h be x(k). Let p be h\/(-10) - (23\/5 - 5). What is the greatest common divisor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skj when three letters picked without replacement from {k: 1, j: 1, y: 1, s: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by ((-92)\/16)\/((-2)\/8).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**4\/12 - p**3\/6 - p**2\/2 + 2*p. Suppose 13*a - 8*a = 0. Suppose 3*j - 5*z + 19 = a, -3*j = -j + 3*z. Calculate u(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0031 times 1254.8\nAnswer: 3.88988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**4\/6 - v**2\/2 + 4*v. What is x(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -217*c**4*j*u + c**3*j**2*u - c**3*u + 3*c**2*u - 60*c*j*u + 11*j**2 wrt c.\nAnswer: -5208*c*j*u + 6*j**2*u - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 73322750 + 4?\nAnswer: 73322754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 7 - 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 31*f + 5. Let l = -185 - -190. Let o(z) = -12*z - 2. Let k(x) = l*o(x) + 2*r(x). Let w(i) = -3 + 0 + 18*i + 5. Give w(k(c)).\nAnswer: 36*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 273180\/580 - -2*-1*3. What is the highest common factor of u and 3875?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/3 - 54540*v**3 - 109078*v**2 - 163616*v\/3 = 0 for v.\nAnswer: -81808, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 0 + 0 - 4*o + 19*o**2 - 18*o**2 + o**3. Let p be l(-3). Let t = p - -8. Solve -4*k = -t*m - 14, 4*k + m - 5 = 6*m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174.434 less than 497?\nAnswer: 322.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 3*m**2 - 16*m + 3. Let g be a(3). Solve -g*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -42669, -43224, -43779, -44334?\n\"Answer: -555*c - 42114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5\/4 + 109860*y**4 - 48277757273*y**3\/4 + 96553097639*y**2\/2 - 60345219123*y + 24137999762 = 0.\nAnswer: 1, 2, 219718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -360568\/7 + 51510. Solve -c*o**2 + 4 - 10\/7*o = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(228) - (sqrt(228) - (sqrt(228) + (sqrt(228) - sqrt(228)*-2)*3)))\/(2*sqrt(192) - (sqrt(12) - sqrt(108)\/sqrt(144))).\nAnswer: 56*sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 267432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 1113 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111408 + 159757.5874?\nAnswer: 271165.5874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 7*v**2 - 8. Let q be 8 + (-390)\/50 - 1\/5. Suppose q = 5*j + 4*n + 39, j + n + 6 = 2*n. Give l(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 655218 a multiple of 267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (11 - -4) + (-11 + 4 - 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 2*c + 0*c)*(8*c - 4*c + 36*c).\nAnswer: -80*c**2 + 80*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.8 in -9, -2, -13, -1\/63?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 7:49 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 7*o - 18. Let a be g(10). Suppose -2*t + 3*z + 3 = -5, -a = -3*t + 3*z. Is t\/8*422 - 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716555250?\nAnswer: 2, 3, 5, 167, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 335*i + 9. Let s(c) = 2*c**2. Determine r(s(g)).\nAnswer: 8*g**4 + 670*g**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 31*g. Let a(f) = -2*f**2 + 6466*f - 71. Give a(r(c)).\nAnswer: -1922*c**2 + 200446*c - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o - 61 = -5*x, -46 = -4*x - 2*o. Let m be 1\/(-3) - 32\/x. Sort -2, m, -5.\nAnswer: -5, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**1)**13)**(-30))**(-2\/25) assuming z is positive.\nAnswer: z**(156\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2007.2 times -10\nAnswer: -20072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 divided by -146.\nAnswer: 59\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36, 56, 90, 144, 224, 336, 486, 680?\n\"Answer: t**3 + t**2 + 10*t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72833.11 hours to milliseconds.\nAnswer: 262199196000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 13*t - 13. Suppose u = -j + 3, -2*j - 2*u + 10 = j. Let s = 31 - 21. Calculate the remainder when r(j) is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/7)\/(2\/(-28))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 412147*f - 3709236. Calculate u(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179407.\nAnswer: 179407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37022737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1 - (-64 - (70 + -131)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*h - 5274 = -7365 + 12132 + 10311 for h.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - r = -6*r - 10, -1021 = -3*y + 3*y + 5*r - 996 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 - 3*x + 3. Let b(j) = 7*j**2 - 7*j + 6. Let i = -3308 - -3317. Calculate i*h(w) - 4*b(w).\nAnswer: -w**2 + w + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: 1687 divided by 390\nAnswer: 1687\/390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180785\/2 less than or equal to 590394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -51. Suppose -6*o = -7*o + 17. Suppose -h*r = -19*r + o. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 56003 + 55977 = 3*g, -h = -2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3.542 times 8\nAnswer: -28.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.813356 minutes to seconds.\nAnswer: 588.80136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 595 divide 79663955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 - 2*m**2 + 3*m. Let z be n(0). Suppose 4*k - p = 135 + 35, z = 4*k - 5*p - 162. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7272729, -7272731, -7272733?\n\"Answer: -2*i - 7272727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = -5, 0 = 3*q - 2*z + 8. Let k be 4\/16 + (-47)\/q. Does 27 divide 327\/k + (-4)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -60\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5 = -2*y. List the prime factors of y\/(-1) + -3 + 12.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 2. Let w be 1\/(-10) + (-1)\/(-2). What is the smallest value in 1, w, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 9. Let w be b(-6). Suppose -w*i = -3 + 6. What is the third biggest value in i, -4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/79? (a) 1.32 (b) 0.3 (c) 38 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f**2. Let z(x) = x - 2. Let i(l) = l - 1. Let s = 7 - 5. Suppose 2*v + 12 = 3*r, s*r = 3*v + 12 + 1. Let c(b) = r*z(b) - 4*i(b). What is c(w(m))?\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/4 of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 91*f + 19. Let a be o(7). Suppose -7*c + h + a = -3*c, -328 = -2*c + 3*h. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4840807.5 from 167614.\nAnswer: 5008421.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 - 1)*(-n - 27 + 11 + 12) to u + x*n and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**10\/(k\/(k*k*k**(9\/2)*k))*((k*k\/k**(-11))\/k)\/k*(k**(-5\/6)\/k)\/k assuming k is positive.\nAnswer: k**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 9:22 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23582e - -5?\nAnswer: 235834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*((sqrt(153) - (2*sqrt(153) + 3)) + 5 + -5 + sqrt(153) + 1 + -2))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/4, 0.9, -276, -0.4, -0.878?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138226856*f**3 - 2*f**2 - 4259431*f wrt f?\nAnswer: -829361136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -478561 less than or equal to -478564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(405) + sqrt(405) + 3 + sqrt(405) + 0 + -1)**2*-5 - (-1 + sqrt(405) + 6*(sqrt(405) + -1) + 4*(sqrt(405) + (-1 + sqrt(405))**2)).\nAnswer: -19862 - 567*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*483.5598\nAnswer: -241.7799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 5*q**2 + 3*q - 4. Let j be z(-3). Let r = 1365 - 1371. Which is the second biggest value? (a) j (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -110761774.33 and -3285?\nAnswer: 110758489.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1037*g + 1934 - 3*g**2 - 1955 + 1042*g to b + d*g + s*g**2 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 111, 128, 143, 156, 167?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n + 7. Suppose -4*v = -v - 15. Let o(k) = -8*k - 26. Let f(a) = 44*a + 144. Let p(i) = -5*f(i) - 28*o(i). Let s(h) = v*t(h) - 6*p(h). Give s(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4, -132, -1\/33, -3, 3 in increasing order.\nAnswer: -132, -4, -3, -1\/33, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 390 + 4. Let o = -346 - p. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 (base 15) in base 3?\nAnswer: 11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55890 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8\/(-6))\/(83\/(-249)) + 307 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/(f**(-2\/9)*f))\/(((f\/(f\/f**11)*f)\/f)\/f))\/(f\/((f**3\/f)\/f))**(-2\/55) assuming f is positive.\nAnswer: f**(-70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y = -61*y - 128 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*a + 4. Solve 0 = -a*z + b + 3, 1 + 17 = 2*z + 4*b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + m - 1. Let o = -66 + 65. Let x(j) = 16*j**2 - 12*j + 12. Determine o*x(c) - 12*a(c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**4\/12 - d**3\/6 + d**2\/2 - 5*d. Give f(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1389.\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107015 and 255?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4902.69 rounded to the nearest ten?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2 - 4*g - 5. Let k(b) = b**2 + b. Let f(o) = -d(o) - 6*k(o). Let a be f(0). Sort 17, -2, a in increasing order.\nAnswer: -2, a, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 246543.5 centimeters to nanometers.\nAnswer: 2465435000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 672 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1633736 and -2?\nAnswer: 1.8366264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -133660 by 10.\nAnswer: -13366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 1093*b**2 - 2*b + 2088*b**2.\nAnswer: 995*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 5*c**2 - 8*c + 7. Let q = -36657 + 36660. Calculate s(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**3 + 6*y**2 + 24*y - 23. What is q(4)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*x + 8. Let v be (-4)\/x - 51\/2. Let z = -16 - v. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r**2. Let a(g) be the third derivative of 11*g**5\/30 - 32*g**2 - 2*g. Give o(a(x)).\nAnswer: 3388*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/1 + ((-450)\/(-120))\/((-20)\/(-848)) is divided by 115?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 137. Give u(54).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**2\/2 + 3*b + 4. Calculate the remainder when 29 is divided by l(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3077691, 5, -4, 6, -5 in descending order.\nAnswer: 6, 5, -4, -5, -3077691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**2*b**3 - a**2*b*y**2 + a**2*y**2 + 2*a**2*y - 8*a*b**3*y**2 + 2*a*b**2 wrt b.\nAnswer: -6*a**2 - 48*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182612 is divided by 26027.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - 34. Let m(n) = -1927*n. Determine k(m(j)).\nAnswer: -7426658*j**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 142619 * -0.31\nAnswer: -44211.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0003728 rounded to three decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -57*a**2. Let k(m) = 12*m**2 - 9. Calculate k(v(c)).\nAnswer: 38988*c**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) - 8\/(-42). Let v = 31310 + -219172\/7. What is the closest to v in 4, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mucqo. Give prob of picking 1 c and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(5) + sqrt(20) + 0) - (4 + ((-3 + sqrt(180) + sqrt(180) - sqrt(180)) + sqrt(180))**2).\nAnswer: -733 + 84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -383 (b) -0.3 (c) 3\/2 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 199*q - 444*q + 204*q + 1394 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4582560053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103850 and 6030.\nAnswer: 934650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-5))\/((-4)\/(-40)*1). Let f(v) = 2*v**3 - 5*v**2 - v + 2. Let y be f(a). Let g be y\/8 + -2 + -3. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7c032 + 3?\nAnswer: 7c035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b - 387. What is j(-24)?\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 - 6*a**2 - 6*a - 6. Let m be ((-962)\/39)\/((-2)\/3). Suppose 15 = 2*n + m. Let g(w) = 5*w**3 - 11*w**2 - 11*w - 11. Determine n*j(v) + 6*g(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**3 + 3*y**2 + 13*y + 17. Calculate v(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1327.\nAnswer: 1\/1327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 10:23 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -4, -8, -117, 96 in descending order.\nAnswer: 96, 4, 2, -4, -8, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2)\/a)\/(a*a*a**(2\/7)))**37*(((a\/a**3)\/a)\/a)\/a*(a**(-4)\/a)\/a*a\/a**(-2\/9)*a*a**(-4)\/a assuming a is positive.\nAnswer: a**(-14723\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28992 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 120*y + 207. Let p(q) = 55*q + 103. What is -4*j(g) + 9*p(g)?\nAnswer: 15*g + 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625837?\nAnswer: 625837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + y - 3*y)*(0 + 0 + 2 + (4 + 10 + 0)*(-2 + 4 + 0))*(2 - 1 - 2).\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148422*z + 143701*z - 542915 = 0 for z.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - (-107 - -51)) + -67.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1782 less than 9002.22661?\nAnswer: 9003.40481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 3957\nAnswer: -1\/3957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3*(q\/q**(-3\/2))\/q*(q*q**(-5\/2)*q)**(-8\/5))**(-45) assuming q is positive.\nAnswer: q**(-477\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116915?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376429467?\nAnswer: 3, 1709, 73421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 15 - 47. Let t be (44\/n)\/((-2)\/(-8)). Let l = t + -6. Solve 0 = -4*d - l*a + 9, 2*d + 4*a - 6 = -0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -45 - (-34 + (80 - 33 - 18)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/8*(-9 - -13). Let p be (-9)\/6*-2*1. Find the third derivative of 4*g**a + p*g**2 - 5*g + 5*g wrt g.\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + 6 + (-20)\/(-5) + 1071.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24171 (base 8) to base 13\nAnswer: -4940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -291 (b) 2\/3 (c) -0.048 (d) 0.18 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -16029 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2 - 3. Let v be g(-4). Let p = -30 - -48. What is the greatest common divisor of p and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-2 + (-3 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 798802262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 1, -0.7, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -27 - (6 - 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*h + 15*h + 0*h**2 + 4*h + 5 - 7*h**2 to z*h**2 + t + n*h and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27940 + 0*f + 19623 + 2*f + (-1 + 1 + 2)*(-1 - 2*f + 1).\nAnswer: -2*f - 8317","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1267c14 - 4?\nAnswer: -1267c18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -8 + 13. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 424170 + -2969.57.\nAnswer: 421200.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -75, -290, -647, -1146, -1787, -2570, -3495?\n\"Answer: -71*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 2*s**3\/3 - 70. Let x(y) = 49*y**2 + 1. Give x(b(n)).\nAnswer: 196*n**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 364 and 22?\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 6:26 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.358778 * -1\nAnswer: -0.358778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + (-3 + 3 - -3). Suppose -2*l - 4*x + 16 = 0, 4*l - 2*l = -2*x + 8. Let p = q - l. What is the remainder when p is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 9. Suppose 0 = -6*l + 11 + g. What is the first derivative of -7*b**l + 13*b**3 + 20 - 6 wrt b?\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 26*g**2 - 5*g + 22. Determine u(26).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.81 + -0.19. Which is the biggest value? (a) -1\/9 (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (114\/(-76))\/(9\/(-35328)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7080, -7223, -7460, -7791, -8216?\nAnswer: -8735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 6*w**2 - 3*w - 2. What is the remainder when p(5) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8373 + 12999. Is 96 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 3*g**2 - 6*g**2 + (0*g + g + g)*(5 - 5 - 2*g) + g**2 + 4*g**2 - 4*g**2)*(3*g**2 + 3*g**2 - 5*g**2)*(31 - 31 + 10*g).\nAnswer: -40*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 6:34 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2360259 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.31 - 0.61. Let h be (2 + (-39)\/15)\/(54\/60). What is the nearest to h in 6\/7, j, 3\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5 + 2*j**4 + 6*j**3 - 10*j**2 + 4*j.\nAnswer: -2*j*(j - 1)**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u - 2*u + 17*u - 8 - 12*u.\nAnswer: -3*u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 304 and 4116.\nAnswer: 4420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13300004 (base 5) to base 2\nAnswer: -100000110011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413673655?\nAnswer: 5, 82734731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -63*j. Let c(a) = 6*a**2. Calculate v(c(z)).\nAnswer: -378*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 + (-3)\/(3\/(-5)) and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -83659 - 39915. What is the highest common divisor of h and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 14*n**2 - 12*n - 12. Let h be r(13). Let j(s) = 4 + 2*s - h - 3*s. Give j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1 + -2.1. Let q = -0.659 - -0.759. Which is the nearest to l? (a) -0.4 (b) -14 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -30249132 and -0.3?\nAnswer: 30249131.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6*a = -2*d + 12, 0 = 3*d - 2*a + 14. Let c be 3 + (28\/(-8) - d\/4). Solve -2*i + 5 + 5 = c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21, 18, 15, 12, 9?\n\"Answer: -3*l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from {x: 2, a: 11}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggfggfggf. Give prob of picking 1 f and 2 g.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 1. Let o(c) = -4*c**3 - c**2 - 18. Let d(m) = -3*b(m) - o(m). Is d(0) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -844294912.97.\nAnswer: -844294913.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3) - ((-4)\/(-330))\/(30\/600)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 39. Put 2, -1, p in decreasing order.\nAnswer: 2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -10*m - 54. Let u be b(-9). Let q = u - 27. Suppose q*n + n = 1580. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169493685 to the power of 1\/2, to the nearest integer?\nAnswer: 13019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50.5 - -50. Which is the third biggest value? (a) -0.4 (b) 0.5 (c) -2\/3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -21826 + 3*d**2 + 21826. Let v(q) = 927*q. Give v(u(j)).\nAnswer: 2781*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 14*f**2 - 136*f - 277. Calculate c(-2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 471912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22468601, 44937201, 67405797, 89874389, 112342977, 134811561, 157280141?\n\"Answer: -2*n**2 + 22468606*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26662 is divided by 63.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + j = 25, -2*g + 2*j + 20 = j. Suppose 5*f = -l - 24, 3*f + 9 + 2 = -4*l. Which is bigger: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32149 and 1313.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g. Let x(d) = -d**3 + 5*d**2 + 18*d + 45. Let i be x(-3). Let w(b) = 34*b**2 + 51*b**2 - 113*b**2 + i*b**2. Determine w(t(s)).\nAnswer: 35*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -760ed?\nAnswer: 760e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.020665 + 0.03212. Let b = 0.0524 - y. What is b rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 - 1.5. Let w = -0.06 - 0.24. What is the second biggest value in -0.2, x, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 23 = 344*g - 349*g, -2*l + 3*g = 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121 + 8*v + 121)*(-4 + 1 + 2)*(4 - 4 - 1).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -169.62 - -167. Let j = -54.88 + w. Let f = -45 - j. Round f to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 - 16*d + 1. Let q(t) = -t**2 + t. Let b(s) = o(s) + 6*q(s). Let y be b(-5). Let p be (-1)\/(-3) - y\/6. Sort 4, p, -3 in increasing order.\nAnswer: p, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+129.25\nAnswer: 125.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10879.\nAnswer: 11, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6642)\/1230)\/((-42)\/10).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/10305875 and -52\/25587.\nAnswer: 92752875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 426386287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 18. Let z(p) = 0*p + 4*p - q*p. What is the lowest common multiple of z(4) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3588*r + 229317. Calculate c(-64).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518777?\nAnswer: 7, 37, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.19 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/22296 and -119\/108.\nAnswer: 200664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4263444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 6*s - 12. Let d(v) = 3*v - 2. Let x be d(s). Let z = x - -18. Solve -b - 3 = -z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o. Let k(a) = a**2 - 10*a - 10. Let n be k(11). Let v = n - -2. Let g(h) = -h + v*h + h. What is y(g(r))?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 170 - 106. Let f be ((-3)\/(-4))\/(4\/g). Suppose 8 + f = o. What is o rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 8 = -8*z. List the prime factors of (4\/z)\/(2\/7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g + 3. Let r = 136 - 108. Let u(b) = -27*b - 24*b - r*b + 78*b - 1. Let d(t) = t**3 - 2*t**2 - 3*t - 1. Let a be d(3). Give a*y(j) - 3*u(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (2 + 35 + -26 + -2 + -2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -3\/2 (b) -4\/9 (c) -2 (d) 2\/7 (e) 0.2311 (f) -3 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2671952?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2331*d**2 + 1303*d**2 + 1029*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 1 - 3. Let w(v) = h - 4 + 4 + 9*v. Let n(q) be the third derivative of -13*q**4\/24 - q**3\/6 - q**2. Determine 5*n(r) + 7*w(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 11:27 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*w**2 + 1 + 24*w**2 + 3 as l*w + j + m*w**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wpwwpww.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2 - 11*p + 3. Let q be s(-5). Let z be 12\/(-6) + 0 + q. Is 12 a factor of (-30)\/(4 + z\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4491.7439 + -4492. Round l to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from rhrhh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -427 - -483. Suppose 0 = -c*u + 1036 + 812. What is the remainder when 57 is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(0 - -4) + 3. Suppose -y - 6 = -c*y. Find the first derivative of 5*r**y - 118*r**2 + 9 + 118*r**2 wrt r.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(11) - (sqrt(132)*-3)\/sqrt(12)) + -1 + sqrt(396).\nAnswer: -1 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) -8 (c) -359 (d) 116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**3 - 5*j**2 - 2*j + 3. Let z be c(-5). Let a = 587 - z. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -121, -108, 13, 278?\nAnswer: 723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11\/4, 14, 6\/11, 4.\nAnswer: -5, 6\/11, 11\/4, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -102*j - 4375. Give f(-41).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15, 5, -1, 10, -5, 7 in descending order.\nAnswer: 10, 7, 5, 3, -1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13541\/67630 - 3\/13526. Let n(s) be the first derivative of 16 + 35\/3*s**3 + 0*s**2 - v*s**5 + 0*s**4 + 0*s. What is the third derivative of n(h) wrt h?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1387.5 - 1389. Do g and 63 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17738 is divided by 4433?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 + -0.9. Let l = u - -0.6. Which is the nearest to l? (a) -2 (b) -0.2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 967.7915 years to decades.\nAnswer: 96.77915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*g - 2*g + 147*g + 175*g.\nAnswer: 257*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + d5a?\nAnswer: d56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2581?\nAnswer: 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.1 (b) -3\/7 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*g**2 + 48*g**2 + 3*g - g.\nAnswer: 288*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.01 - 2.01. Which is the nearest to x? (a) 0.5 (b) 2\/3 (c) 4 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44.3 - 35. Let h = -11.58 + v. Let b = h + 2.2693. What is b rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**4 - 190104*k**3 + 2258150288*k**2 + 13554225120*k + 18074328192 = 0.\nAnswer: -4, -2, 23766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 10:45 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 43 + 12. Let o = -8 - q. Calculate the lowest common multiple of 9 and -1 + (o - -1) - -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 2172228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 + 60. Sort -2\/19, s, 7\/3, -1\/3.\nAnswer: -1\/3, -2\/19, s, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*q = -4*g - 68, -4*q = g + 32. Let m be (-3)\/g - 9\/4. Put m, 0, -5 in decreasing order.\nAnswer: 0, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/15)\/((-297)\/90)*47\/(1880\/(-80)).\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 143 = 4*w + 78, 2*g - 10 = 0. Let d = -175\/3 - w. Let 0*a + 4\/3*a**2 + 0 - d*a**3 = 0. What is a?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -i + 5. Let n(f) be the second derivative of 9*f**5\/20 - f**3\/3 + f**2\/2 - 3*f. What is n(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/108*-3*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12831741647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1162049068?\nAnswer: 2, 3797, 76511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 245464679*v**5 - 1322*v**2 + 16471*v + 2.\nAnswer: 14727880740*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - q**2 - q + 1. Let s(b) = 15*b**3 - 6*b**2 + 11*b + 6. Let u(a) = 6*h(a) - s(a). Find the second derivative of u(d) wrt d.\nAnswer: -126*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 968, 2038, 3108, 4178?\nAnswer: 5248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 47*w**2 - 11*w - 21. Let m be a(14). Suppose -9*b + 6740 = -m. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 0)\/(46\/(-529)). Which is bigger: t or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/25)*y\/(y**1*y)*y*y)\/(y\/(y*y**(-2\/5)\/y)*y)**(15\/2) assuming y is positive.\nAnswer: y**(-427\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 9:51 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 3*i**2 + 7*i - 237. Let l(w) = 3*w**2 + 10*w - 236. Let g(s) = -3*h(s) + 2*l(s). Find the second derivative of g(k) wrt k.\nAnswer: -18*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/9, -15, -250\/211?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1669.8 + 1712. Let n = 41.99 + 0.01. Let u = k - n. What is the third smallest value in -13, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 10.29005296.\nAnswer: 10.09005296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j + 4. Let g(d) = 9*d**2 - 7*d - 3. Let n be g(1). Determine r(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3292907.22 rounded to the nearest ten thousand?\nAnswer: 3290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8369181\/2156 - 15527\/4. Find the common denominator of d and -27\/847.\nAnswer: 5929","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/90 and 139\/180 - (60\/18 + -3).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36017 - 82449 = -4614*r - 42681 + 71863 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3655 - 48381 = -38*i. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 79870032 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + -11122020210?\nAnswer: -11122020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(1 + -3*(2*(sqrt(147) - (sqrt(147) + 3)) + sqrt(147)) + -5).\nAnswer: -63*sqrt(3) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.2 + -4.4. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 4, -5, -6, -1, 113, 0 in descending order.\nAnswer: 113, 4, 0, -1, -5, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 639.477531s in weeks?\nAnswer: 0.0010573371875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 5*x**2 + 8*x + 6. Let u be l(-6). Let s = u - -8. Suppose -41 = -s*g - 5*y, 3*g - 7*g + y = -49. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 9:41 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 19, -10 in increasing order.\nAnswer: -10, -6, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, m: 3, s: 7}. What is prob of picking 2 v and 1 m?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aalkaavla. Give prob of sequence kal.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -178, -290, -510, -874, -1418, -2178?\nAnswer: -3190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3, -29, -77, -159, -287?\n\"Answer: -2*x**3 + x**2 - 15*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + o**2 + 4. Let i be a(2). Suppose 14 = 2*q - i*q. Let j be (q\/5)\/(6\/30). Solve j*m + 8 = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21931840 to the power of 1\/2, to the nearest integer?\nAnswer: 4683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 3*sqrt(847) + 2)**2.\nAnswer: 176*sqrt(7) + 13556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 57*0.1\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 1\/34, 142, -0.02, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*v + 10*v + 59*v + (-5 + 12 + 23)*(0*v + 4*v - 2*v).\nAnswer: 143*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 3:48 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937803 is divided by 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 686 + -713 + -1 + 1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*w**4 - 7627*w**3 - 18591*w**2.\nAnswer: 144*w - 45762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10827235, 0.1, -0.3, -1?\nAnswer: 10827235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119271 + -119216.941. Let g = -0.059 + b. Let h = g + -53.99883. Round h to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.99 and 0.1.\nAnswer: 0.199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 1598*g + 134292. What is x(1509)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -43*s - 22. Let u be w(11). Let r be -2 - (1\/4 + u\/(-20)). Let f = -8 - r. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/2 and 79\/12998454.\nAnswer: 12998454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4 = 0, 3*w - 3*j + 0*j = 12. Solve 0 = 5*g - w*p - 28, -p + 4 = -2*p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 2. Let q(s) be the second derivative of s**3\/6 + s**2\/2 + 8*s. Let r be q(-5). Let c be 2*(3 - 2) + r. Determine f(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1742998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2362271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - y - 2. Let q(z) = -1958*z**2 - 1569*z - 10. Let s(u) = 6*j(u) - q(u). Find the second derivative of s(t) wrt t.\nAnswer: 3904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -24 + -3 + -22 - -9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/4549848 and -59\/27.\nAnswer: 40948632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94670?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*t = -t - 4, 3*t = -2*h + 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2.4, -1, -4\/11, -714\/5, 0, 0.4, 2?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6742476 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 164897 = 4*w + 30268, 2*w = 4*l - 780716. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - o = 12*c, -5*c + o - 24 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4484999692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 6)*(0*f**2 + 0*f**2 - f**3) + 0*f**3 + 6*f**3 + 4*f**3 in the form s + c*f**3 + l*f + r*f**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 3\/8 (c) -3\/5 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f - f + 17*f - 8*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/929511 and -59\/413116?\nAnswer: 3718044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12997*r + 190 = -5*x + 13002*r, 127 = -4*x - r for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/14 and 19\/486332?\nAnswer: 486332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 79. Suppose 2*h - g = -50. Are -3\/110 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-10427516.\nAnswer: 93847644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-5400)\/(-39))\/40?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3098, -6199, -9300?\nAnswer: -12401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*b**2 - 95*b + 25*b + 69*b + 121*b in the form f*b**2 + i*b + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -543 = 4*l - 623. Let m be 0\/(-5*8\/l). Solve -4*o - 9 + 29 = m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/5*3*-5. Is (-4)\/v - (-2737)\/21 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-1 + 3) + -2. Calculate the common denominator of -103\/14 and o\/30*295\/(-6).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**6\/o)\/o)\/o**(-1\/2)*o*o\/(o*(o\/(o*o*o\/o**0))\/o)*o*o*o**(-2))**(-2\/25) assuming o is positive.\nAnswer: o**(-17\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 5*k - 29. Let x be t(-10). Let n be 11 - (-3)\/(1 + x\/(-12)). Which is smaller: n or 12?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 64*d**2 - 2*d - 1. List the prime factors of i(-4).\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 64515, 129237, 193959, 258681, 323403?\n\"Answer: 64722*d - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74631 is divided by 18654.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*2\/3*(-3)\/(-1). Let o(f) = 4*f**2 - 2*f - 2. Let q(t) = -9*t**2 + 4*t + 4. Calculate h*q(v) + 5*o(v).\nAnswer: 2*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 30 + -10 + 31 + -2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = f. Let b be 0\/(f - -4)*-1. Suppose 0 = -b*d - d + 21. Calculate the remainder when 61 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898304135.\nAnswer: 5, 19, 1487, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -83. Let u be (-8)\/20 - o\/(-5). What is the tens digit of (u\/20)\/(1\/75)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 109?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20492 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h - 6. Let j be c(6). Let r be (-2)\/9 - j\/(-27). Let n = -654 + 680. Solve -2*i + l + 10 = r, -5*i + n = l + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 492227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2\/9 (c) -0.2 (d) -184\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**2 - 563*b - 605*b + 1166*b + 2. Let j(c) = -4*c**2 + 2*c - 2. Suppose -6 = 2*f - 3*v, 0 = -f - 0*v - 2*v + 11. What is f*j(r) + 2*l(r)?\nAnswer: -2*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -610 + 666. Let m be -2 + a\/21 + 673802\/(-3). Round m to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/180796 and -11\/24654.\nAnswer: 542388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2882613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5352070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (31 + -38 - (16 + 8)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**2 - 1300*o - 5169. What is h(-4)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -52*y**5\/5 - 10*y - 18. Differentiate v(m) with respect to m.\nAnswer: -208*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 7*f**2 + f + 7. Let t be d(-7). Solve -i + 2*i + 4*q + 11 = t, i - 5 = 4*q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(273 + 178 + 16)*(a + 0 + 0).\nAnswer: 467*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 0.1 (c) -603\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07 - -0.02. Let k = 0.62 + -2.57. Let j = y + k. Which is the closest to 0? (a) -5 (b) 3\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - 4*z**3 - 23 + 0*z**3 + 121.\nAnswer: -2*z**3 + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 + o**3)*(-2*o + 0*o + o + 5).\nAnswer: -o**4 + 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020664325 to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000037887584 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 24 = -5*a, -s + 0*a = 5*a - 6. Suppose -s = u - 2*v + 5, -3*u + 4*v = 23. What are the prime factors of (3 + 39)\/((-2)\/u)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40174 - -40174. Let q(p) be the third derivative of -14\/3*p**3 + 0*p**4 - 1\/70*p**7 - 1\/15*p**5 - 3 + 0*p + g*p**6 - 4*p**2. Differentiate q(h) wrt h.\nAnswer: -12*h**3 - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 7*n - 7. Let v be d(-5). Suppose 0 = 8*x - v*x - 75. What is the remainder when x is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 18 = 8*m. Let w be 2\/6 - (22\/(-6) + 4). Solve w = n + n - m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*g + 12*g. Suppose -g*c + 368 + 64 = 5*j, 0 = 5*c - j - 540. Suppose 0 = -4*a + c - 88. Solve 0 = 3*y - 2*k - 18, a + 5 = y - 2*k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 583987*u - 2 = -583971*u, 2*w + 11 = 3*u for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (95\/(-285))\/((-14)\/(-30)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 7:05 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000482471 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -118.51 times 2741\nAnswer: -324835.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 2 - 2) + 17 + -16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -49115.60118 and 1.\nAnswer: -49114.60118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (400\/(-350))\/(((-1)\/21)\/(2\/6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3120 divided by 520\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q = 24*q + 36. Let t = 5 - 22. Let u(y) = -6*y**3 + 17*y**2 + 14*y + 17. Let x(r) = -2*r**3 + 6*r**2 + 5*r + 6. Calculate q*u(v) + t*x(v).\nAnswer: -2*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18e7c (base 15) to base 7.\nAnswer: -454560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a645 - -5?\nAnswer: -a640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.1 - 7.3. Sort w, 1, -5\/2, -3 in decreasing order.\nAnswer: 1, w, -5\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 165 + -163. Let g be 441999 - t\/(-2)*(-3 - -4). Round g to the nearest ten thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1690 divided by -5\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 249, 293, 335?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1256186?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qoabh. Give prob of sequence oqah.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 1 (b) 2\/5 (c) -2\/11 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/((-91740)\/145950).\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/10 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-3))\/((-4)\/(-20)). Let t(y) = -y**3 + 2*y**2 - y + 2. Let o be t(2). Suppose 4*p + o*m - 58 = 5*m, -x*p + 83 = -m. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**3 - 2*s**2 - 5*s - 8. Let i be q(-2). Let o be (-1)\/(-3) - 49\/3. Let k = i + o. What is the remainder when 26 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 11*t**2 - 11*t + 13. Let g be z(8). Let p = g + -112. Factor 5 - 8 + p*j**2 + 43 - 45*j.\nAnswer: 5*(j - 8)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6288776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 2*g**2 + 2*g + 3. Give n(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*3*sqrt(650) + sqrt(650)))\/((sqrt(14)*-1)\/sqrt(7)*-3*-2).\nAnswer: -35*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 5*r - 11 = 3*m, m - 1 = -3*r. Let b(u) = 6*u - 8 - 1 - 9*u + 18 + 5*u - 8. Let v(o) = -2*o - 1. Give m*b(d) + 5*v(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 + 108 + -1 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 259*g + 14124. Give q(78).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 + 2*n**2 - 1. Let h be m(-1). Let c = -4 - -10. Find the third derivative of -z**c - 2*z**3 + 2*z**h + 3*z**6 + z**2 wrt z.\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -574.52*0.31\nAnswer: -178.1012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -11, 4, -0.82?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -43\/9, -2.2, 5?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 + 3*r**2 - 22*r + 36. What is m(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 0*a**3 + 0 - 5\/12*a**4 + 4*a**2 + 5*a. Let g(p) = 2*p**2 - 3. Calculate -8*g(o) - 3*y(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000105703 to six dps.\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -1\/15*x**3 - 2 + 0*x**4 - x**2 + 0*x + 1\/150*x**5. Let h(g) be the second derivative of t(g). Factor h(n).\nAnswer: 2*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**5\/20 - 47*l**3\/2 - 209*l**2\/2 - 231*l. Differentiate g(a) wrt a.\nAnswer: 3*a**2 - 141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 38 = -3*i, -21 + 0 = -2*i - 3*g. Let v = i - -2. Solve 3*u + v = 5*y, y = 3*u + 10 - 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123642957 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d = 3*r - 503, 2*d + 4*r = 500. Let w = d + -766\/3. Sort w, -1\/11, 2\/7, 0.5 in decreasing order.\nAnswer: w, 0.5, 2\/7, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -7. Find the first derivative of 10*j**4 + 13 - 5 + j**g wrt j.\nAnswer: 44*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29125703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvmvmvv. What is prob of sequence mvm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3701766 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2 - 366*l + 367 = 0. What is l?\nAnswer: -367, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l*y**3 + 109*l*y**2 - 1082*y**4 - 8 wrt y.\nAnswer: 12*l - 25968*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 780 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0*d + 0*d)*(3 + 3 - 21)*(-2*d + 6*d + 5*d).\nAnswer: 135*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 3, d: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 251, -2, 74, 3, 1 in ascending order.\nAnswer: -2, 1, 3, 74, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -9*k**3 - 5*k**2 - 3*k. Let d(o) = 5*o**3 + 3*o**2 + 2*o. Let c(w) = 6*b(w) + 10*d(w). What is the second derivative of c(j) wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2460*x**2 + 36*x - 349993.\nAnswer: -4920*x + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, n: 5, f: 1, u: 5}. What is prob of sequence nuu?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1658*0.1.\nAnswer: 165.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 9:33 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 79710 rounded to the nearest 1000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-60)\/(-6)))\/(10\/(-12))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 1 - 2*s + s**2 - s**2)*(0*s - 5*s + 4*s).\nAnswer: -3*s**3 + 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 17*h - 115. Determine q(18).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 19*c + 2. Let o be w(1). Let t = 54 - o. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 250? (a) -3.5 (b) -1 (c) 4 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 376, 4, 26 in descending order.\nAnswer: 376, 26, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((5 - 1)\/(-4)). What is the second derivative of -c*k + 12*k + k + 7*k**5 wrt k?\nAnswer: 140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21312427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -16*g**3 - 3*g + 2. What is v(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5686318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**5 - 14*v**4 - 22*v**3 + 14*v**2 + 24*v = 0.\nAnswer: -4, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2455)\/(-1964)*(-2)\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.1 and 583138025.547.\nAnswer: 583138021.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 356, 1472, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-525)*4)\/((-96)\/(-80)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 5*s - 2. Let z be y(-5). Suppose 4*g - 8*g = 8*g. Which is the second smallest value? (a) -4 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -9.1. Let y = 24.928 - 25. Let g = y - 0.028. What is the nearest to u in 3, g, 4\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, h: 7}. Give prob of sequence hq.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(-4 + 3) - 3. Suppose 3 - v = 5*i. Which is the closest to -2\/7? (a) i (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 23. Is u equal to 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 57. Suppose -r = x - 4*r - 6, 0 = -3*x + m*r + 6. What is l in x*l + 1\/3 - 1\/3*l**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*6*sqrt(3))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15185989, -30371980, -45557967, -60743950, -75929929, -91115904?\nAnswer: -106301875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 133, 4, 55, 2\/7, 1\/6, 2\/5, 1\/271?\nAnswer: 1\/271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3)*3\/7. Let j = -3.67 + -0.33. Sort h, 1, j in increasing order.\nAnswer: j, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 13694842 = -3*s. Let j(l) = -73400*l**2 - 4*l - 2. Let f be j(-2). Let g = f + s. What is g rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*r + 13*r + 3. Let w = -9 + 15. What is the remainder when (8 - (7 - r))*(2 + 2) is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 12*r - 825 = -3*l, -2*r = 5*l - 535. Does 35 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 4, f: 6}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 2 - (7 + 1) - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -20. Let h be (-1)\/(-2)*(27 + -27). Which is the closest to h? (a) u (b) -7 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -6*d**5\/5 - 2*d**4\/3 + 423*d**2\/2 + 102*d + 2. What is the derivative of o(n) wrt n?\nAnswer: -72*n**2 - 16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 6 - 1 - 3 + 2 - 9 - 37 - 43 + (1 - 1 + 2)*(-3 + 4 + 0))*((-2 + 2 + z)*(-3 - 2 + 4) - 2*z + 2*z - z) in the form t + c*z and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -18 + (-29 - -42).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from {b: 7, y: 3, w: 2, u: 1, a: 4}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b65b (base 16) in base 10?\nAnswer: 177755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2.8. Let a = t - 0.5. Let c = -4.3 + -0.7. Sort 1\/3, c, a in increasing order.\nAnswer: c, a, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 3*p - 2. Let c(h) = h**2 - 2*h + 1. Let r(s) = -2*c(s) - 3*f(s). Factor r(z).\nAnswer: (z - 4)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2062.\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 283897274 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/19 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 197*s**2 - s + 1. Let f be a(1). Let w = f + -61. Calculate the greatest common factor of w and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1032330100?\nAnswer: 1032330101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39 times -13?\nAnswer: 5.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*h - 21*h + 11*h)*(-4*h + 3*h - h) + 7*h**2 - 4*h**2 - 2*h**2.\nAnswer: 75*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16059.7518 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16906836 - 16906850.000029. Let v = b - -14. Round v to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151807402 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-10)\/(-4) - 50\/100. Let m be ((-5)\/((-125)\/(-105)))\/(c\/(-10)). Suppose 79 = a + m. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from clel?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003789 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 154029 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 j(h) = -h**2 - 1. Suppose 7*y - y = -2*y + 8. Let s(v) = 5*v**2 + v - 6. Determine y*s(p) + 3*j(p).\nAnswer: 2*p**2 + p - 9","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24133*s**5 - 250*s**2 + 47752*s + 111?\nAnswer: -482660*s**3 - 500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64877\/26 less than or equal to 2496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (sqrt(128)*-1 - sqrt(128)))*6 + 5 + 5 + 5*5*sqrt(128) + (sqrt(128) + 2)*1)**2.\nAnswer: 8448*sqrt(2) + 247952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8207 is divided by 63.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 54 - 18 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*7\/((-154)\/33) - 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 298443, 1\/8, 3 in decreasing order.\nAnswer: 298443, 3, 1, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -177 + 156 - (3 - 31)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*s - 232*s + 30*s + 2*s + 0*s - 4*s + (2 + 2*s - 2)*(-3 + 0 - 3))*(0*s**4 + 0*s**4 + s**4).\nAnswer: -205*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 147850955 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5ab + -9?\nAnswer: 5a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 589.499995241 + -589.5. What is x rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 87 = -9*m + 122, m - 43 = 5*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 + 20360*c**3 - 20356*c**2.\nAnswer: -4*c**2*(c - 5089)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -5)*20\/(-6). Let h = 13 - u. Suppose -5*y + 24 = h*a, y + 0 = 3*a - 6. Round y to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 26*a**2 - 2 - 1495278*a + 2 + 1495274*a. Let o(z) = z**2. Calculate o(c(x)).\nAnswer: 676*x**4 - 208*x**3 + 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -520000 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-20) - 6\/15. Suppose 4*i = -s*i + 64. Suppose 12*y = i*y - 44. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 15) to base 9\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-44)\/(-429))\/((-10)\/57). Let m be (-4)\/(-26) + (108\/130 - 1). Let j = m + o. Sort 3\/4, 0.01, j, 0.02 in descending order.\nAnswer: 3\/4, 0.02, 0.01, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7949529 to the nearest ten thousand.\nAnswer: -7950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -361342, -361382, -361422, -361462?\nAnswer: -361502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/370 and 41\/296.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 32701 * -3475.5\nAnswer: -113652325.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8707472 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -30*m**2 - 102*m - 1403. Calculate a(0).\nAnswer: -1403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/147421? (a) -2\/11 (b) -4 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 12, v + 4*w + w = -17. Let s(h) = -8*h**2 - 6*h - 164 + 9*h**v + 156 - 10*h**3. Suppose f = -5*l - f - 37, -l - 5*f = 12. What is s(l)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from ninnnnnnnnnnnnnnnin.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -258788\/5 - -267077\/5. Let t = -3305\/2 + l. Find the common denominator of -19\/16 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/24*(-4)\/(-10))\/(6\/(-75))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/(-48) - 526\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvvvvvoxvvvoxvvuo?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**5\/6 + 1291*j**2. Let k(h) = 8*h + 6. Let w(u) = 7*u + 5. Let t(g) = 5*k(g) - 6*w(g). What is z(t(r))?\nAnswer: -40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide ((-3)\/(-3) - -1) + (1718 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17a (base 15) to base 16\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-3 - -1 - -7). Suppose 2736 = 21*b - k*b. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -245 and -2555147.\nAnswer: 626011015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -172 - -184. Calculate the highest common factor of s and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 723 + -728. Let j(o) = 9*o**2 + 10*o + 5. Let i(x) = -8*x**2 - 9*x - 4. Give a*i(m) - 4*j(m).\nAnswer: 4*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 283 and -57.92.\nAnswer: 225.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 329*r**2 + 38214*r - 2552. Calculate c(-420).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11450, 22914, 34392, 45884, 57390?\n\"Answer: 7*u**2 + 11443*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -6)*16\/48. Which is the nearest to 2\/9? (a) 0.1 (b) -0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**9*w*w\/((w*(w\/(w**(-2\/11)\/w)*w)\/w)\/w))\/(w**3)**(18\/11) assuming w is positive.\nAnswer: w**(43\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 35*p**2 + 17*p.\nAnswer: p*(p + 17)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 + 6*h**3 - 3*h**3 + (-h**2 + 2*h - 2*h)*(2*h + 1 - 1).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1902\/42 - 4\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49201 - 687.22?\nAnswer: -686.72799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26354201891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 59*j**2 + 4. Suppose 9 + 5 = -7*q. Let w be p(q). Let o be (-2)\/(-11) - w\/(-132). Solve 5*z + 11 = -3*i, o*i + 2*i - 12 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15143?\nAnswer: 19, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 1. Suppose 0 = 5*m - g - 5 - 2, -4*m = -g - 6. Let b(r) = -r - 1. Give m*b(v) - 3*s(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/4000 and 49\/12?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51476*d + 51476*d + 1 - 80*d**2 to v*d + k + o*d**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/2 - 18*r**4 + 142*r**3 + 379*r**2 - 285*r\/2 - 361 = 0 for r.\nAnswer: -2, -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115904195.\nAnswer: 5, 11, 31, 67979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k - 20. Let m be h(8). Let x(b) = -6*b**2 + 5*b - 4. Let s(r) = -5*r**2 + 4*r - 3. What is m*x(u) - 5*s(u)?\nAnswer: u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**1\/c))**(-32)*c\/c**2*c**(-3))**(11\/3) assuming c is positive.\nAnswer: c**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -688, -1380, -2078, -2782, -3492, -4208, -4930?\n\"Answer: -3*a**2 - 683*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2 + sqrt(1331))**2 + sqrt(11))*2*6.\nAnswer: 540*sqrt(11) + 15972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*v - 9*v + 16*v)*(2*v**2 - 24*v**3 - 3*v**2 + 19*v**3).\nAnswer: -125*v**4 - 25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j - 28. Calculate p(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**30*t)\/((t*t**36)\/t))**28)**(1\/41) assuming t is positive.\nAnswer: t**(-140\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w - 325 = -5*p, -334 = -3*w + 4*p. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.6709 days in milliseconds?\nAnswer: 23731565760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 + 36 + 48 + 111?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3046030 rounded to the nearest one hundred thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 2)\/(5 - (1 - -2)). Is 4.8 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 + g + 3\/4.\nAnswer: (g + 1)*(g + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/3 - -1. Let d = -7 - -7. Put 5, d, t in ascending order.\nAnswer: d, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**5\/10 + 3245*w**4\/12 - 2162*w**3\/3 - w**2 + 35*w + 5. Determine b, given that y(b) = 0.\nAnswer: 2\/3, 1081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 - 102*g + 194. Let p be u(2). Put 5, 40, p, 2 in descending order.\nAnswer: 40, p, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1204, 1218, 1246, 1294, 1368?\n\"Answer: m**3 + m**2 + 4*m + 1198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19210 is divided by 183.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 4, e: 9, v: 4, l: 1, c: 1}. Give prob of sequence cn.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-28)\/(-10))\/(2\/10). Let r be 2*(((-54)\/(-12))\/3 - -4). Let x = r - h. Put 3, x, 5 in descending order.\nAnswer: 5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 16. Let k be ((-2)\/(-3))\/((-2)\/(-3)). Calculate the smallest common multiple of 18 + k\/((-1)\/(-2)) and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.53 + -0.53. Sort o, -29, -1\/6, 3, 3\/28 in decreasing order.\nAnswer: 3, o, 3\/28, -1\/6, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-221)\/(-306) - (-2)\/(-4). Suppose 9 = -5*g - 36. Let u be 2\/(3\/(g\/57)). What is the nearest to s in 2\/11, u, 2\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 + -9 - 9) + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 5987*y**4\/4 - 2047*y + 1001. What is the first derivative of u(b) wrt b?\nAnswer: 17961*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - c**2 - 2*c**2 + (-3 + 0 - 7)*(3*c**2 - 3*c**2 - c**2) + (-6*c - 3*c + 2*c)*(115*c - 23*c - 28*c).\nAnswer: -439*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - 43. Suppose 0 = 15*s - v*s - 216. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787900 rounded to the nearest 10000?\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*u - 49438 = 367814 - 30570. Is 28 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2244, 4496, 6844, 9336, 12020?\nAnswer: 14944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314322?\nAnswer: 2, 3, 52387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*x + 20 = 126*x. Let k be 30\/25*x\/32. Let t = 1 + -0.9. What is the nearest to t in -0.2, -4\/3, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*b + 944945 + 197539 = 0. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -12*h**4 - 25*h**2 + 3*h - 3. Let q(x) = -12*x**4 - 25*x**2 + 4*x - 4. Let y(g) = 4*m(g) - 3*q(g). What is the third derivative of y(o) wrt o?\nAnswer: -288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 94660668?\nAnswer: 1609231356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -215 in -158, -2, 393?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -1569*v**2 - 2*v**4 + 36*v + 1569*v**2. Let a(i) be the third derivative of -i**5\/60 - 2*i**2. Calculate q(a(y)).\nAnswer: -24*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, 4, 1 in ascending order.\nAnswer: 1, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3274*n**3 + 19*n**2 + 5*n + 5. Let k(o) = -3276*o**3 + 23*o**2 + 6*o + 6. Give 6*d(g) - 5*k(g).\nAnswer: -3264*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*h = 41190, -33*h = 5*n - 35*h - 41190. What are the prime factors of n\/24 - 15\/(-20)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (255\/(-2890))\/(2\/20) + 1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005080599 to 7 dps.\nAnswer: 0.0000508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s + 20. Let d be q(17). Let y = d + 14. Solve y = -3*p - 5*k - 35, -3*p + 3*k + 0*k = 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 73? (a) 5 (b) 4 (c) 1\/100 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, 52, -0.2, 1485, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 435560.2 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/(-14) + (-18)\/(-42). Let b(w) = o + 1 - 3 + w. Let q(m) = -2*m + 3. Let a(x) = -x + 2. Let v(y) = 3*a(y) - 2*q(y). Determine b(v(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 50. Let s = -174 + 170. List the prime factors of s - -14*j\/8.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 165, 736, 1695, 3048, 4801?\n\"Answer: b**3 + 188*b**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4486, -17990, -40506, -72040, -112598, -162186, -220810, -288476?\nAnswer: -365190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -996390 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -16, -6, -5, -17 in decreasing order.\nAnswer: 5, 0, -5, -6, -16, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1424, 3097, 5878, 9767?\nAnswer: 14764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*z - 5. Let x be (-3)\/((3 + z)\/(-2)). Is x greater than -8\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -420*r + 83\/4*r**2 - 1\/4*r**3 - 441.\nAnswer: -(r - 42)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -200 - -401. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 279, -3, -4 in decreasing order.\nAnswer: 279, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*n**5 + 13*n**4 - 6425*n**3 + 6841525*n.\nAnswer: -200*n**3 + 156*n**2 - 38550*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16857896.\nAnswer: 2, 11, 23, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 416.824 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -67987000 to the nearest one million.\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgg when three letters picked without replacement from sggggggggssggssggg?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 4*b**2 - 16*b + 43. Let q be k(7). Let w = q - -616. Calculate the highest common divisor of w and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5000 - -5009. What is the greatest common factor of t and 189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 8*u + 4. Let p be m(8). Suppose 5*c + 4*t = 46, -c + 34 = p*c + t. Calculate the remainder when 9 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u**4 - 1700*u**3 - 26392*u**2 - 17520*u + 7200 = 0.\nAnswer: -30, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**10\/(p*p*p*p\/((p\/p**(-6))\/p)*p) assuming p is positive.\nAnswer: p**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3377\/2544 + 5\/848. Let p(h) be the first derivative of -h**2 - 4 + 0*h - q*h**3 - 1\/2*h**4. Factor p(r).\nAnswer: -2*r*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 3*q**2 + 5*q + 1. Let b = 49 - 53. Calculate o(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 - 9702*n - 94128804.\nAnswer: -(n + 19404)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**5\/20 - 2*w**4\/3 + w**3\/2 + 5*w**2\/2 - 29*w + 2. Let r(z) be the first derivative of o(z). What is r(7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -765981 and -766074 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -165?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 195993?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377, 769, 1833, 3905, 7321, 12417?\nAnswer: 19529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1. Let u(n) = n**2 + 1. What is the remainder when u(j) is divided by 4 - (-2)\/((-4)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 617234.4 years to centuries.\nAnswer: 6172.344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 17. Suppose 28 = 5*k - z. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 7*y**2 + 2*y + 5. Let o(m) = m**3 + 6*m**2 - 2*m - 6. Let b(j) = -3*o(j) - 4*z(j). Is b(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 5 (b) 133 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {i: 3, u: 3, z: 4, p: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q - 35. Suppose 0 = -4*a + 5*i - 12, -5*a + i + 0*i + 6 = 0. Suppose 2*r + a*r - 136 = 0. Which is bigger: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -2*i**2 + 6. Let n be h(-1). Let a = -472 - -480. What is the smallest value in -5, 0, a, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000043 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -11 - -36 - 37?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/58040 - -40662887\/1218840. Let i = n - 168\/5. Find the common denominator of i and -55\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9723*t**2. Let u(a) = -3343*a**2. Determine w(u(z)).\nAnswer: 108660835227*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c1 + -1b?\nAnswer: 3a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2682 is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1297016635 to the nearest one million.\nAnswer: 1297000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**2 - 1. Let u be s(-1). Let z be 3 - (-2 + u)*3. Let h(a) = a**2 - 2*a + 33. Let f be h(z). What is f rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 2)*(-1 + 0 - 1) - 6 + 4 + 0)*(-k**2 + 2*k**3 + k**2).\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*k + 82 - 62 = 0, h = -2*k + 12. Suppose 3*w + w = 20. Sort -4, 0, h, w in descending order.\nAnswer: w, 0, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1 = -3*l, -2*l = l - d + 5. Which is bigger: 4\/11 or l?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3109.62208 rounded to the nearest 10?\nAnswer: 3110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -20560199227962.7.\nAnswer: -20560199227964.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.348 + -0.248. What is the nearest to k in 0.3, -2, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 31. Let s = 29 - x. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1279.775164 rounded to the nearest ten?\nAnswer: -1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 350778 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 462*n**3 + 6*n**2 + 3*n - 11. Is c(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**3 - 4*d**2 - 3*d + 2. Let u be i(-3). Suppose -u = -4*k - 19. Calculate the remainder when 62 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (6 + -8 - -14 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(5 + -11))\/2. Let h be ((-4 + i)\/4)\/((-1)\/13). Solve 5*f = -5*u + 15, 5*u = -0*f - 3*f + h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10820 is divided by 33167\/221 + 14 + ((-4)\/13)\/4.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 55 and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/3, 1423, 0.084.\nAnswer: -5, 0.084, 1\/3, 1423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6255211 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*f**2 + 4 + 4 + f**2 - 5 to the form y*f**2 + m*f + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-20) + (21\/(-5) - -1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 4*g - 11. Let v be y(6). Suppose -3*r - v = -4*r. Let c(n) = 11*n - 2. Let a be c(r). What is the greatest common divisor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (948\/(-96) - -10)*-8. Let j(d) = -6*d + 7. Let f(t) = t - 1. What is u*j(o) - 4*f(o)?\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypeeehryegrrppg. Give prob of picking 1 h, 1 p, and 2 g.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1196506 to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39003456 a multiple of 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8326 and 376878.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3673337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13660, 37381, 61102, 84823, 108544, 132265?\n\"Answer: 23721*z - 10061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2 + (-6 + 4 + 3)*(-1 + 6 - 3) - 1 + 2 + 1 + 2 - 5 + 1 - 1 + 3 + 0 + 2 - 4 + 1 - 29 + 0 - 15)*(-3 + 3 + 1)*(3 + 3 - 4)*(-16 + 7*h + 16).\nAnswer: -546*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1. Let x be (-4)\/228*87\/(-29). Which is smaller: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 12. Let k = 11 - r. Let m(t) = 113*t. Is m(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 50. Let x = -24 - h. Solve 0*u**3 + 0*u - 50*u**x + 4 + 625\/4*u**4 = 0 for u.\nAnswer: -2\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1554, 1808, 2062, 2316?\nAnswer: 2570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -671446193 + -4.\nAnswer: -671446197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*d - v + 1, d + 13 = -4*v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3818808 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/32*-8*8\/((-4)\/1).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -5 (c) -610\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 3*r**5\/10 + r**4\/8 + r**3\/6 - 38*r**2. Is a(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329563?\nAnswer: 13, 101, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9*l**2 + 25*l - 7. Suppose 2*u + 5 = -9. Let j(d) = -5*d**2 - 12*d + 3. Let k(o) = u*j(o) - 3*x(o). What is the second derivative of k(n) wrt n?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63713 + -36.\nAnswer: 63677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**3\/8 - 38901027*v**2\/8 + 77802045*v\/8 - 38901021\/8 = 0 for v.\nAnswer: 1, 12967007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 - 3164*i**2 + 55*i - 212*i**5 + 3164*i**2 wrt i.\nAnswer: -4240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - 2)\/(-8))\/(5\/(-5))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 121*z**2 + 3191*z + 3071.\nAnswer: (z + 1)*(z + 37)*(z + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 21*l - 5. Let v be n(-9). Let g = v + 197. Suppose -3*c = c - 44. What is the remainder when c is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 divided by -102?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*0.0139.\nAnswer: -0.6255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (96\/12)\/(1 + 1). Solve -x = -4*s + r, -2*x = -2*s + x + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5.621298 weeks?\nAnswer: 3399761030.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*d + 180. Let x = -31 - d. Let k(s) = -7*s**2 + 1. Give k(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -606 + 206 + 197 + 1482*z + 203.\nAnswer: 1482*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 260*u**2 - 247*u**2 + 0*u + 0*u. Is a(1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 11\/1141779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/20)\/((-14)\/(-56)). Sort -0.5, u, -41, 0.4.\nAnswer: -41, -0.5, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107970 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18832*m + 18819*m - 74*m**2 - 37650*m.\nAnswer: -74*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/3 - 11*t\/3 = 0 for t.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - 9*k**2 + 15*k**2)*(-5*k**3 - 7*k + 7*k) + 14*k**2 + 12*k**5 - 14*k**2.\nAnswer: -38*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011 (base 2) in base 9?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 777, 1515, 2253?\n\"Answer: 738*o + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -47*s - 3. Let i be v(2). Let l = 143 + i. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14043331551558 - 8.\nAnswer: -14043331551566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 2*y**2 + 27. Let h be v(0). Suppose -13*k = -16*k - h. Let c(n) = -14*n - 11. Is c(k) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/3 and -59\/297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fddfdddddddddfd. Give prob of sequence ddfd.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-165)\/45 - 11552\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73715481?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express n**4 + n**2 + 11*n + n + 2 - 10*n as s*n**3 + k*n + h*n**2 + p*n**4 + i and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (2 - 1)) + (-9 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 33933 (c) -4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15032.916 and -5.\nAnswer: 75164.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.4192776 weeks?\nAnswer: 253579.09248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 739, 1416, 2029, 2572, 3039, 3424?\nAnswer: 3721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1646142 is divided by 1165.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -268515404*m**3 - 58*m**2 - 45*m - 3339.\nAnswer: -1611092424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 6:09 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/17, -80295, -5, 1\/7 in ascending order.\nAnswer: -80295, -5, -3\/17, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1975 and 237.\nAnswer: 5925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 c when four letters picked without replacement from {c: 6, m: 1, d: 11}?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*c**3 - 105 - 213*c**3 + 29 + 23 + 54 - 307*c**3.\nAnswer: -407*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238919138 and 370?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 101 + -119 - (-30 - 1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5 + 2174*x**4 + 377562*x**3 - 1147934*x**2 + 768196*x = 0. What is x?\nAnswer: -869, -221, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 249, 310, 357, 384, 385, 354, 285, 172?\n\"Answer: -g**3 - g**2 + 71*g + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-4)*71\/((-7100)\/120)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1378583 + 1067639 = -27*t + 1313646. Round t to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3834\/(-11928) - (-9)\/12\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 905 divide 6969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - 2*a**3 + 2*a**4 + 213*a - 105*a - 109*a to the form g*a**2 + s*a + x*a**4 + l + w*a**3 and give l.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70685 = 4116*x - 1259*x + 33606 - 68630 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10426173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 6:10 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -20. Let d = -250.9 - -122.7. Let s = d + 128. What is the third smallest value in v, s, 0.2, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 0, 40 = 3*w + 2*w - l. Suppose -3*c + 40 = -5*t, -5*c + 4*t + w = -37. What is the closest to 4 in -5, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 402\/(-8) - (-1)\/4. Suppose 2*o + 5*q + 169 = 4, -o - 65 = -q. Let v = c - o. Solve 0 = 3*k - v + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 11*g**2 - 2223*g + 202. Let m be p(202). Let h(i) = -3*i**3 - 3*i**2 - i - 11. Let c(a) = a**3 + a**2 + a + 1. Let b(o) = 2*c(o) + h(o). Give b(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - p**2 - p + 204. Calculate the lowest common multiple of t(0) and 8.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74946693.\nAnswer: 3, 17, 1469543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (70*y**2 - 836 + 834 + 24*y**2)*(4 - 3*y - 4) to i*y**3 + l*y + n*y**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 2:25 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = -27*d - 21. Let x(y) be the first derivative of -y**4\/4 - 7*y**3\/3 - 7*y**2\/2 + 3. Let p be x(-6). Solve 8*r - p*r - d = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 50 - 50 = 0. Let i = x - 12. Let a be 2 + -4*(-10)\/4. What is the greatest common divisor of i and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 80559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124509163 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1118 = 5*k - 4*k - 5*c, -5*k + 2*c = -5521. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.071.\nAnswer: -0.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**5 - 356*x**4 - 771*x**2 - 28713*x - 315 wrt x?\nAnswer: 20*x**3 - 4272*x**2 - 1542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5110 (base 9) to base 6\nAnswer: 25143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**5 + 1371*d**4 - 196257*d**3 + 8539125*d**2 - 31845048*d + 31081812 = 0. Calculate d.\nAnswer: 2, 71, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-4)*(-350512)\/(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from txmmtgtxbxbmxgw.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116405, -116265, -116021, -115667, -115197, -114605, -113885, -113031?\nAnswer: -112037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 - 48. Let c be ((-1)\/(-2))\/(-8 + (-1084)\/(-136)). Let s = v + c. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -11. Let z = -3 + u. Let a = -4 - -4. Sort z, a, 4 in increasing order.\nAnswer: a, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/((-28)\/(-264)) - 5. Let l(a) = -k*a - 2 - a**2 + 71*a + 0*a**2. What is l(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 249*h**5\/20 + 1409*h**2\/2 + 1084*h. What is the first derivative of j(p) wrt p?\nAnswer: 747*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -785*j - 78 + 392*j + 382*j. Calculate m(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32213333 + -10?\nAnswer: -32220003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 5:46 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 - 900 + 900. Let r(l) = l**2. Let m(g) = 7*g**2. Let t(n) = -m(n) + 6*r(n). Give u(t(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by (25 + -17)*(1 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -70876*k**3 + 34*k**2 + 70*k - 5. Is u(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -282 - 567\/2*u - 3\/2*u**2.\nAnswer: -3*(u + 1)*(u + 188)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -2*q - 3*o - 28, -2*o = 5*q - 12. Suppose 2*c - 4*c - q*j + 132 = 0, -c + 70 = 3*j. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47 and -50\/590667?\nAnswer: 590667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432210*p + 144066*p + 144062*p + 144083*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -254, -391, -544, -719, -922, -1159, -1436?\nAnswer: -1759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31*-263.\nAnswer: -81.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 + 4*a + 7. Let s(l) = -17*l**2 - 19*l - 36. Let i(b) = -11*g(b) - 2*s(b). Suppose 9*h - 88 = -2*h. Determine i(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -253 (b) -0.2 (c) -3626\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 - 5 - (9 - (12 + 23)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 86455750 to the power of 1\/3, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 2*x - 8. Let m(k) = -k**2 - 2*k + 7. Let z(y) = -5*b(y) - 6*m(y). Suppose -55*q + 57*q + 10 = 0. Is z(q) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10769385 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -641 times -18\nAnswer: 11538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyxxyyyy. What is prob of picking 2 x?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2165267 to the nearest integer?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(68)*2 + sqrt(51)\/sqrt(3)*5))**2.\nAnswer: 49572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -72*n - 42. What is the units digit of x(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 13*z + 4. Let a(v) = 38*v + 11. Give 6*a(k) - 17*s(k).\nAnswer: 7*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - b + 20. Let d(i) = 2*i - 11. Let l be d(b). What is the second derivative of -l*w + 3*w + w**4 + 4*w wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 866*a = 881*a. Let z = 3 - -16. Suppose 5*u = 4*p - z + 4, -3*u + 2*p = 7. Solve a = 5*n + f + 3, f + u = -3*n - 0*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24136 is divided by 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12524 and 89652.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 6*j**3 - 3 + 3 - 1 in the form h + t*j**3 + x*j**2 + b*j and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 3*i**2 + 3*i + 5. Let w be z(4). Suppose 3*q - 8*q = 0. Suppose 3*v + 17 - 113 = q. Solve 2 - w = 3*k - 4*f, -v = 4*k + 3*f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-1)*b*b)\/b)\/b*b)**(-1\/4)\/(b*b**1)**(-4\/9))\/((b**(-2\/3))**(3\/13)\/(b**(-1\/3)\/b*b\/b**3)) assuming b is positive.\nAnswer: b**(-268\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 5*o + 7. Let i be c(6). Let n(a) = 56*a**3 - a**2 + 2*a - 1. Let r be n(i). Calculate the greatest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 55\/(-20) + 2 + (-284)\/(-336). Which is the nearest to -9? (a) -0.2 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*u**3*v**4 + 90*u**3*v**2 - 52*u**3 + u**2*v**2 - 355*v**5 wrt v.\nAnswer: -792*u**3*v - 21300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((555\/(-45))\/(-37))\/((4\/(-368)*-4)\/(-3))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-7) - ((-9)\/(-7) + -2). Which is the third biggest value? (a) w (b) -4 (c) -2\/9 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3171543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*f = 0. Suppose 3*d - 4*t + 4 = f, 5 = 2*d + 3*t + 2. Factor -8\/5 + d*x + 2\/5*x**2.\nAnswer: 2*(x - 2)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 417 + -344. Calculate the remainder when (0 - 4)*(-15267)\/84 is divided by r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4174 or -12521\/3?\nAnswer: -4174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 229362084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9617857499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 8. Suppose -5*m = -2*u - 35, 0 = -4*u - 4*m + 5 - 33. Let l = u + 12. Calculate the least common multiple of h(7) and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*p = -7 - 5, -5*y - 2*p = -16. Let d be 24\/(-9) + y\/6. Does 5 divide (-24)\/(-5) + d\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14787 divided by -12.\nAnswer: 4929\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1248828, -1248830, -1248832, -1248834?\nAnswer: -1248836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbgbvbbbiuqbvg. Give prob of sequence bgug.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2. Let c(x) = -x**2 + 2*x**2 - 2 + 3. Let b(f) = 2*c(f) + h(f). Let t be b(0). Solve v + t = q, q - 4*q + 2*v + 7 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 76 = 5*p. Put -4, p, -5 in descending order.\nAnswer: p, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 13. Let l be f\/(-10) - 64\/(-10). Solve -23 = -4*q - l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -32902 (c) -2.8 (d) 1 (e) -1\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from {l: 1, c: 2, z: 1, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 - -43. Let s = -25741 - -25696. Is s >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -408566\/13 + 5511837\/208. Let t = b - -4927. What is the common denominator of 23\/58 and t?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, e: 2, w: 1, z: 2}. What is prob of picking 1 m, 2 z, and 1 e?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*z = 2*t + 92*z + 1, -3*z - 9 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-909110)\/(-90) - 21) + 1\/((-18)\/4). What is the highest common divisor of 48 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 100011?\nAnswer: 101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*z**3 + 75*z**2 + 24*z - 9.\nAnswer: 3*(z + 1)**2*(14*z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -20232.1.\nAnswer: -4046.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6)\/y)\/y)\/y**(-1\/4)*(y\/((y\/(y*y**(-1\/2)*y*y))\/y))**(-22) assuming y is positive.\nAnswer: y**(-339\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 916703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(-3*sqrt(5)) - sqrt(11)) + ((-1 + sqrt(11))*5)**2 + ((-1 + sqrt(99))**2 + -3)*-3.\nAnswer: -100*sqrt(11)\/3 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87\/(-116)*(2*(-6)\/3)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 1. Let w(i) = 0 - 9 - 2 + 1 - 12*i. Determine -10*f(o) - w(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**5\/20 - h**4\/12 + 2*h**3 - 11. Let x(f) be the third derivative of k(f). Differentiate x(j) with respect to j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.390791*0.02.\nAnswer: -0.34781582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/10)\/((-16)\/(-40)). Suppose r*x = -x. Sort 2, x, 1 in decreasing order.\nAnswer: 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**5 + 2775*k**4 - 380070*k**3 + 19272600*k**2 - 281556000*k - 2468880000 = 0. Calculate k.\nAnswer: -6, 60, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258195?\nAnswer: 3, 5, 7, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5*(0 + 1))\/(-1). Suppose -4*b - 8 = 4, 0 = -y*l - 3*b + 71. Let v be (-8)\/l - (-7)\/2. Calculate the highest common factor of v and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 523 + -23?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 14*d - 4. Let p(t) = t. Determine -o(g) + 5*p(g).\nAnswer: -9*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 1. Let b be (-7)\/(-28) - (-60)\/(-48). Let d(o) = 2*o + 1. Give b*d(n) + 3*a(n).\nAnswer: -5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*2\/(-48))\/((-18)\/(-48)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 17. What is the remainder when (-2)\/(2 + 0) + 42 is divided by a(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 1. Let s be ((-2)\/7)\/(10\/(-70)). Suppose 0 = -u + s*u - t. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*t**3 + 31*t**3 - 23*t**3)*(-t + 3*t - t).\nAnswer: 63*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + (-3*-6*(sqrt(6)\/sqrt(12) - (sqrt(8) + -3)))**2).\nAnswer: -8752 + 5832*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1170, 2340, 3508, 4674, 5838?\nAnswer: 7000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -2. Let n be p\/((-8)\/(-34)) + -1. What is the highest common factor of 80 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2779.8 times 1?\nAnswer: -2779.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/42 - (-288)\/672. Let m = -2 - 1. Which is the third biggest value? (a) h (b) m (c) 0 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r = 21*r + 5*f - 20, -4*f - 30 = -6*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304911 is divided by 1724?\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*42\/(-49))\/(2*-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8b (base 12) to base 7\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3. Let u = -0.7 + n. Let q be -2 + 1 + -3 + 2. Which is the third smallest value? (a) u (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2692 - -2691.93. What is the third biggest value in -8, -0.09, t?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h - 40024*h**3 - 7*h + 40027*h**3 - 1. Suppose 0*t = t + 4*n + 2, -3*n - 7 = -2*t. What is c(t)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k - 1. Let b(c) be the second derivative of 20*c + 1\/2*c**2 + 0 + 7\/6*c**3. Calculate 5*b(i) + 6*y(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 545*j - 9. Let u be s(9). Let p = -58835\/12 + u. Calculate the common denominator of 11\/12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7822 (base 15) in base 11?\nAnswer: 18143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -1b57a14?\nAnswer: 1b57a0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-8)*-12)\/(30\/(-9)))\/(-3)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20440526.\nAnswer: 2, 163, 62701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.1 - -31.7. Let w = h - 4.9. Sort 3, -5, 2, w in decreasing order.\nAnswer: 3, 2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, and 1 o when three letters picked without replacement from {o: 4, r: 2, d: 2, n: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:12 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*a - 2, n = 5*a + 3 + 4. Suppose -4*y - 2*j + 24 = 0, j + n + 0 = 0. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -48*z**2 - 58*z + 20. Give k(2).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 79381 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 + -110010?\nAnswer: -1001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100009306?\nAnswer: 2, 50004653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2579 by 8.\nAnswer: -2579\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/8*z - 1\/8*z**3 - 1\/4 - 1\/2*z**2.\nAnswer: -(z + 1)**2*(z + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 38 - -54c2?\nAnswer: 551a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 384 take away 2?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 - 4*t**2 + 4*t**2)*(-4*t - 17 + 17)*(-13 - 6 + 16).\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1845*t = 47457 + 83538 for t.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -8 in increasing order.\nAnswer: -8, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1586 - 6415 = -7*z. What is the remainder when z is divided by (-2)\/10 - (2997\/15)\/(-9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 77*i**2 - 2530*i + 117. Calculate o(32).\nAnswer: -1995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/1 - -1)*11. Let t = 268 + -266. Differentiate 3 - b*q + 0 + q**t + 11*q with respect to q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8284)\/(-14) - (-16)\/56. Suppose -q + 3*b = -128, -5*q + 2*b - 3*b = -x. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -59. Suppose -58*w = -h*w - 20. Solve m = -5*k + 3*k - w, 6 = -5*m + k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3) - 47\/(-3). Let c(k) = k**3 - 15*k**2 + 13*k + 7. Let p be c(14). Let i = f + p. Solve x + 0*x = -2*g - 7, -3*g + x = i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 + c + 8. Let h(v) = -4*v**2 + v + 13. Let f(t) = 2*h(t) - 3*x(t). What is f(-6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68267287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -33. Let v(m) = -44*m - 20. Let c be v(f). Let o = c + -218. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -26429*l - 981. Is z(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185 = -11*g + 240 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -949615*s**4 + 18*s**3 + 33677841 wrt s.\nAnswer: -3798460*s**3 + 54*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/36*12*10\/(-20)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 7534718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1997 + 2202. Which is bigger: w or 2049\/10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 59*s**2 + 7*s + 449. What is the remainder when 166 is divided by j(-59)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 142730 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 16 - 22 + 2*i)*(-5 + 5 + 1).\nAnswer: 2*i - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7770*k**3 - 5*k**2 - 6613*k - 5 wrt k.\nAnswer: -46620*k - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/2 - 28368807*d.\nAnswer: 3*d*(d - 18912538)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36653593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -27*s + 18*s + 59 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 465 + -473.2. Let z = c - -5.2. Put 0, -6, -5, z in descending order.\nAnswer: 0, z, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -2 - (8 - 10)) + (-36 - -2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5836 + 83*v + 5836)*(v - 4*v + 4*v).\nAnswer: 83*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -643, -341, 271, 1199, 2449, 4027, 5939?\nAnswer: 8191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3227 = -x - 2079, 2*x = -12. Calculate the greatest common divisor of r and 1272.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 + 12*z. Let u(f) = 10*f**2 + 8*f**2 + 7*f**2 - 26*f**2. Determine g(u(r)).\nAnswer: -2*r**4 - 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305786 divided by -494.\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - -1203?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1613334 and 357?\nAnswer: 11293338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**5\/60 + h**4\/8 + h**3\/6 + 26*h**2 + 56*h. Let u(l) be the first derivative of m(l). What is u(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*w + 1374 + 393 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58830 and 30?\nAnswer: 58830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0082136 - 0.008. Round j to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvttvtvv. What is prob of sequence vvt?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 31.4.\nAnswer: 282.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -19*m - 149. Let d be t(-8). Does 92 divide (4476\/20 - d)*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 11. Let l be w(9). Let b be l*(-7)\/2 - -2. What are the prime factors of 3 - 2 - (b + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1318 + 1337. Let y(k) be the third derivative of k**5\/20 + k**4\/12 - 2*k**3\/3 - 3*k**2. What is the remainder when y(-4) is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (60\/(-18))\/((-4)\/42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2)*(5 + 1235). Let q be 4\/14 - (g\/35 - -5). Let r = -8 + q. Solve 0 = r*c - 11 - 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7201960 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 9 - 6*6\/72*8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 323.7?\nAnswer: 325.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 691, 1654, 2619, 3586?\n\"Answer: u**2 + 960*u - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90139.39797 - -90174.3. Let a = 34.9 - p. What is a rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x**2. Let s(t) = 5*t**2 + 9*t. Let q(c) = -c**2 - c. Let a(j) = 18*q(j) + 2*s(j). Let b = 8255 + -8261. Give b*a(r) + 7*d(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60.85 + 0.85. Let m = 58.96 + g. Let s = -0.04 - m. Which is the third smallest value? (a) -2\/15 (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381459514?\nAnswer: 2, 659, 289423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 + 68. Let i = -25 - -10. Let t = i + b. What is the biggest value in t, -1, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 0 - (-2 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*b + 3897*b**3 - 52*b + 84*b)*(5*b - 2*b - 5*b).\nAnswer: -7794*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.05 (c) 0 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 24. Suppose 7*u - 20 = b*u. Suppose -12 = -2*t - u. Solve t*a + 10 = -2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153613457180 + -104473147613. Let l = 49140309512.999999979 - z. Let p = l + 54. Round p to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*r + 7 = -1, -4*k - 4*r = -40. List the prime factors of k\/2*(14 - -3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 6 (c) 1.7 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 2*g**2 + 0 + 7\/60*g**5 + 1\/6*g**3 - 1\/120*g**6 - 2*g - 1\/4*g**4. Let t(b) be the first derivative of v(b). What is t(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.4? (a) -3\/8 (b) 2 (c) 12 (d) 0.4 (e) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**4\/12 + d**3\/6 + d**2 + 5*d. Let g be n(-2). Let i = -0.3 + 0.6. What is the nearest to -0.1 in i, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1419 + -1404. Let g = -2.2 - -11.2. Let c = g + -6. What is the second smallest value in 4, c, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 736*k + 2. Let b(q) = -2*q**2. Determine j(b(c)).\nAnswer: -1472*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -132*t - 2. Let y be s(-1). Let c = -40 + y. Calculate the greatest common divisor of c and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3876652\/461505 + -2\/92301. Let o = -2.9 + -0.1. Which is the second smallest value? (a) n (b) -1 (c) o (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-28)*6\/8. Let x = 8 + -22. Let h = -27\/2 - x. What is the closest to h in 5, r, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-12))\/((9\/(-90))\/(6\/10))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13576 = 8801*a - 25899*a + 595087 + 348825 for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -18*(-5)\/(-10). What is the second derivative of 24*a**2 - 1 - 20*a + 22*a**3 + z*a**2 - 31*a**2 wrt a?\nAnswer: 132*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, p: 3}. Give prob of sequence pn.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkccttcc. Give prob of picking 1 k and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**3\/3 - 5*y**2\/2 + y + 4. Let b be l(-4). Solve 3 = -b*i - 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 + -13) - ((-2 - 14) + 40)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 20 + 9 + -13 - 1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/5 (b) -269 (c) 21 (d) -1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 10. Let s(n) be the first derivative of 3*n**4\/2 + n**2 - n - 3. Let k be s(1). Let g be x(k). Solve -r - 10 = -g*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*n + 104644 + 62*n - 104644.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 6*q**2 - 46*q - 55. Let b be p(-10). Solve -4*f - 5*t - 14 = 0, -3*f - 21 = b*t - 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 10.9.\nAnswer: -4.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23199, -23197, -23195, -23193, -23191?\nAnswer: -23189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -16*u**2. Let g(b) = -471757*b. Determine n(g(r)).\nAnswer: -3560874672784*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 752\/2632*(-1)\/4*-2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -12, 3, 26040, 4 in descending order.\nAnswer: 26040, 4, 3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 0*v**3 + 0*v + 0 - 1\/120*v**5 + 3*v**2 + 0*v**4 - 1\/840*v**7 - 1\/160*v**6. Suppose f(o) = 0. What is o?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46244 and 59?\nAnswer: 2728396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -184905 by -5.\nAnswer: 36981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5770166 and 685.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8582265071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*i + 30*i + 15 = 0. Suppose -2*z = 4*p - 16, -4*p + 53 = 4*z - i*p. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 2\/15, 2, -1, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1976 greater than -2169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 685725 and 446.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b. Let y(u) = -5*u + 5*u - u. Give k(y(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 5*o + 6, 4*o = -4*h - 170 + 154 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -11*n + 42. Calculate o(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-33))\/(-29*6\/(-1044))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 590994 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {x: 2, b: 9, z: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -22996 * -0.4\nAnswer: 9198.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3*12\/(-54)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.091 (c) -2\/69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28759 is divided by 9352?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1788200 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -62*z + 33. Let m be x(-18). Is -1*((-1 - m) + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-18))\/((-960)\/(-565920)). Solve -8*n - 214 = -c for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -0.0069?\nAnswer: -1.9931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 - 8*w - 1. Let t(f) = 9*f**2 - 190*f + 24. Let g be t(21). What is the smallest common multiple of s(g) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-335 + 172 + 162 - 309*p)*(-p**2 - p**2 + 3*p**2)*(-p + 0 + 0).\nAnswer: 309*p**4 + p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((r - 4 + 4)*(0 + 5 - 3) + 3*r + 0 + 0)*(0*r**2 + r**2 - 2*r**2).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 1:42 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -153227.432?\nAnswer: 153227.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Let z = 2558 - 2556. Suppose -4*d - d = p*r - 22, 0 = z*r - 2. Solve d = -3*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39650 is divided by 168.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 9:24 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 - -1) + 1\/1. Let o(p) = p + 5. Let m be o(v). Let i(s) = s + 5. Let b be i(0). Solve -16 = -4*d, 4*d + m = b*y + 2*d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 300 = 11*q. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 4*p + 2. Suppose 13*u - 8*u = 15. Give o(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z. Let c be y(2). Suppose -c*n + n = -20. Suppose 9 = 3*q - 3*r, 5*r - n*r = -5*q + 27. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1, -6.\nAnswer: -6, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28017 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-16) + 15\/12. Let y be (-33)\/(-6) - i\/(-2). Let a be (1\/1)\/(-5 + y). Which is greater: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 5, -3\/4, -5, -178?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 - 3*t**2 - 9*t. Is 7 a factor of d(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**8\/56 - 33*n**6\/10 - n**4\/3 - n**2 - 30*n - 2. Find the third derivative of c(l) wrt l.\nAnswer: 120*l**3 - 2376*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1925.3097 rounded to the nearest 10?\nAnswer: -1930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 194388, 4\/5, 0.973, 0.4 in increasing order.\nAnswer: 0.4, 4\/5, 0.973, 194388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-357)\/(-49))\/(27\/(-126))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3*j - 26 + 47 = 0, -j = -u - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 540.8 + -67.8. Let t = g - 472.99999241. Round t to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237401945 a multiple of 7605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 7:27 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64243 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3 - 0. Solve z = -0*r - r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-819)\/(-6 - (40140\/(-448))\/15) a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.241285 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -11*v - 4. Let r = -355 - -353. Determine k(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 8:01 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 5, -23, -18, -15\/2, 6\/11 in descending order.\nAnswer: 5, 6\/11, -0.1, -15\/2, -18, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(22)\/(sqrt(10)\/sqrt(5)))**2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -55\/523 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2 + 2*g - 5. Let v(o) = -9*o**2 + 5*o + 17. Let k(t) = -2*t**2 + t + 5. Let q(d) = 4*k(d) - v(d). Give -5*q(x) - 3*u(x).\nAnswer: 4*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(63) - sqrt(63))*-4)**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125053598*h + 125053598*h - 1622*h**3 - 279 wrt h.\nAnswer: -4866*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -687044, -687053, -687062?\n\"Answer: -9*l - 687035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -2a7ecc?\nAnswer: 2a7ece","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204\/(-9078) - 167936\/(-3649).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**2\/4 - 213*o\/2 = 0?\nAnswer: 0, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*f - 430 = 0. Suppose 3*d + 4 + 2 = 0, -2*d + f = s. Let p = s + -53. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 439\/60 - 106\/15. What is the second smallest value in -2\/7, -92, q, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 4. Let a(x) = 6*x**2 + 2*x - 2. Let u be a(1). Let d(f) = -f**3 + 6*f**2 + 2. Let m be d(u). Let z be g(m). Solve -b + 1 - 4 = z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*p**5 + 1022753*p - 1022474*p + 7*p**3 + 2*p**3 wrt p?\nAnswer: 160*p**3 + 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 4) to base 16\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 574, 798, 1020, 1240?\nAnswer: 1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 65 - 43 = 0. Let f be w\/(-16) - 2\/8. Sort -8, 5, f.\nAnswer: -8, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3018 is divided by 108.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 525*j + 17166 - 9816 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 1 + 7. Suppose -4*c = -l*h - 3*h - 10, 4*c - 14 = 3*h. Suppose -3*b - v + 14 = 0, -b - 2*v = -v - 4. Solve 0*r = c*r - b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 112*n + 269*n + 190*n - 4 + 79*n to y + o*n and give o.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from hdpdxldhdphppp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -595? (a) 0.1 (b) -510 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 60216 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 6*u - 2. Let f be 248\/88 + (-2)\/(-11). Let s = f - -1. Let d be j(s). Solve d = -3*q + q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -12. Suppose n = -0*n + 1. Let z be 2\/(-55)*(20 + -25). What is the nearest to n in z, -4, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -327, -655, -983, -1311?\nAnswer: -1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 l, 1 o, and 1 a when four letters picked without replacement from {o: 4, c: 5, s: 1, b: 2, l: 3, a: 5}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 242 - 25. Suppose -4*h - 3 = -3*h, -3*h = -4*l + c. Let d = 57 - l. What is the smallest common multiple of 3 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 2\/23, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3107, -6198, -9277, -12344?\n\"Answer: 6*l**2 - 3109*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**6\/120 + 7*t**5\/60 + t**4\/4 + 3*t**3\/2 + t**2. Let o be v(-6). Let y be (1 - 3 - -1) + 3. Solve -y*m = m + o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 2*y - 2)*(2*y - 2*y + 2*y**2) + 4*y**3 - 4*y**3 - 2*y**3 in the form v*y**3 + s + l*y**2 + q*y and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**3 + 20*k**2 - 20*k**2.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, -18, -45, -72?\n\"Answer: -27*w + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*-1*sqrt(220))\/(sqrt(500) - (sqrt(500) - sqrt(500)*-1)*3 - (sqrt(500) + (sqrt(500) - 2*sqrt(500))*-3)).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/2 - -5)*(-54)\/(-3). Solve 77*h - 86*h + v = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + 5*v**2 - 2*v**2)*(-10 - v - 14 + 13 + (-v + 0*v - v)*(0 + 2 - 1)).\nAnswer: 3*v**3 + 11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*n**2*p**2 + 209259*n**2 - 3396*p**4 wrt p?\nAnswer: -10*n**2*p - 13584*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (76\/13680*-6)\/(8\/(-5))\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29873 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 2*w + 58 = 0, 5*h + 7070*w + 55 = 7065*w for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 + -0.1. Let d(j) = j**2 - 12*j + 16. Let x be 8 + -2 + 28\/7. Let g be d(x). Which is the biggest value? (a) g (b) -1\/10 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -5.6. Let t(u) = 3*u - 4. Let g be t(1). What is the closest to -0.1 in i, -4, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((22 - 33) + 2 - (-16 - -1) - 8) + -11\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*s - 12, -27*m = -23*m - 16. Let l = -32.81 + 33. Let p = l + 0.01. Which is the nearest to p? (a) s (b) 5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 16 = -2*j - 2*j, -5*o + j = -14. Suppose 2*m - 2 = -2*x + 3*m, -3*x = 2*m - 17. Differentiate 2*g**o - x + 0 + 2*g**4 - 2*g**3 wrt g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25235894 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 113288*a**4 + 136325 with respect to a.\nAnswer: 453152*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, e: 3, r: 1}. What is prob of sequence erqe?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4661343 to the power of 1\/2, to the nearest integer?\nAnswer: 2159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-20)\/(-48)*2\/(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 9012222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20.0915 and -0.2?\nAnswer: -4.0183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 13*o + 7. Let p(k) = -6*k + 4. Give 5*p(n) - 2*v(n).\nAnswer: 2*n**2 - 4*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 32 + (-7 - (0 - -10 - 5) - -5).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 759.84ml to litres.\nAnswer: 0.75984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.25 + 6.25. Let c = 6 + -5.8. What is the third smallest value in 3, c, 4\/7, z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 54. Let n be s\/((-28)\/8) - 51\/(-21). Which is the second smallest value? (a) -0.5 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 0 - 4\/15*c**3 - 2\/15*c - 2\/5*c**2 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 234*g + 1775. Give f(-8).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404 = 6*h - 1826. Let t = 428 - h. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 151.4011 to 0 dps.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191, -357, -523, -689?\nAnswer: -855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654191 is divided by 528.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 452463*k**2 + 445585*k**2 - 898048*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 1*2\/2. Let s be (-5 - -6)*7\/(1\/l). Suppose s*q = 12*q + 30. Is q smaller than -31\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(192) + 1*sqrt(192) - sqrt(192))**2 + -5.\nAnswer: -48*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1318 + 3?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 + 285 = 67*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -4*j - 17, -5*y + 6*j - 9*j - 21 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 1 + 23 + 2. Suppose 0 - t = 3*x. Suppose 2*a + 4*r - 11 + 37 = 0, 5*r = 4*a. Which is smaller: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/168 + (-1)\/(-6). Let i be 1\/3 - (-1)\/3. Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32608 and 36128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 21148680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 12:42 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3850?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38814267 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**2 - 3*z + 3. Let q(c) = 431*c**2 + 16*c + 435*c**2 - 1283*c**2 - 16 + 433*c**2. Suppose h = 9 + 2. Calculate h*b(n) + 2*q(n).\nAnswer: -n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h - 10. Let w be (-8)\/(-40) + 88\/10. What is the tens digit of d(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*w - 598 = -0*o, 0 = -4*o + w + 769. Let t = -80 + o. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14315.955119 to one decimal place.\nAnswer: 14316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 355 = -5*c, 5*c + 197 = 4*h - 183. Let d = -47 - c. Is (d\/(-3))\/(4\/(-60)) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 3*a - 24, 11*a = -426*k + 422*k - 17 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -69, -118, -255, -522, -961?\n\"Answer: -7*r**3 - 2*r**2 + 6*r - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -2. Let y = o - -5. Let d(m) = 4*m - 16. Let p(h) = 3*h - 11. Let g(z) = -5*d(z) + 7*p(z). Determine g(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -29\/2. Let g(f) = -2*f - 26. Let j be g(-14). What is the closest to h in 0.2, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16800.0025 - -16818. Let i = x + -18. Round i to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/15 - (1 + -2). Let w = 0.07 - -0.03. Which is the smallest value? (a) w (b) -2\/21 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) 1 (c) 211 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 5:13 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 80198300 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 4*h**2 - h - 3. Let x be b(-4). Let t(a) = 66*a**2 - 2 + x + a + 2*a + 0*a. Does 17 divide t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 0*h**3 + 4*h**3 - h to the form p + g*h**2 + t*h + i*h**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -17*v**3 - 4*v. Let d(q) = -17*q**3 - 5*q. Let t(l) = 3*b(l) - 4*d(l). What is the second derivative of t(z) wrt z?\nAnswer: 102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4553*s - 1357. Is r(36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -37. Suppose -4*v - 3*v + 7693 = k. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -j - 9, 7 = 3*n - 4*j - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 31. Let d(l) = 4*l - 7. Let j be d(o). Solve -j*n = -9 - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5053, -5094, -5163, -5260, -5385?\n\"Answer: -14*m**2 + m - 5040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9*v - 65 = -5*r, 3 = -v. Let w(m) = -5*m**2 + 7*m + 4 + 4*m**2 + 0*m + 11*m. Does 18 divide w(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8*a**(6\/11)*a)**(-2\/3) assuming a is positive.\nAnswer: a**(-70\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1233211 - 4?\nAnswer: 1233205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 120445, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2250526*-0.3.\nAnswer: -675157.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 5*s - 5. Suppose -19*t - 30 = -14*t. Let q be c(t). Let i = q + -58. Solve 4*l + 5*r - 3 = -0, -4*l - i = 3*r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c - 7*c - 15*c)*(-3*c**3 - 36*c**2 + 3*c**3 - c**3).\nAnswer: 16*c**4 + 576*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**4\/6 - 8*x. Let d(i) be the first derivative of -2\/3*i**3 - 1 + 0*i + 0*i**2. What is z(d(n))?\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 13*y + 7 = -n, -2*y - 2*n - 2 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - a + 21. Let p be g(0). Suppose -2*t + 23 = 5*j, -111*t + 2*j - 40 = -114*t. Calculate the highest common divisor of t and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 u when four letters picked without replacement from uuauuua?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1584 (base 12) to base 4\nAnswer: -213310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 2888*m**2 - 1314378*m + 192259332.\nAnswer: -2*(m - 706)*(m - 369)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/31706 in 2\/19, -3, -3\/8, 26, 0, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Suppose 4 = -2*g - 2*l, -5*l + 2*l - d = 5*g. Suppose -3*y + 351 = g*o + 2*o, -400 = -5*o + 4*y. Is 28 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*k = -264*k - 882. Solve 48*a - 1 = k*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 7:04 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -8 (b) 0.3 (c) -0.2 (d) 714 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 5*m + 9 = 0, 2*g - g + 53 = -13*g - 3*m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*(-2 + -2*(0 + sqrt(117)) + 1)**2*-1*-1.\nAnswer: 144*sqrt(13) + 5628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 767 and 135051?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/340 + 8\/(-60)*3\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -85 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l - 140 = -56 + 316 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*l + 39, 0*l + 27 = l + 3*v. Let s be (18 - l)*(-1)\/(-4). Let d be 3*((-5)\/50 + s). Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.9541 + -0.0459. What is the third smallest value in -0.2, p, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 4*n**2 + 10*n - 21. Let v be f(5). Suppose v*g = -5*k + 104 + 36, g + 3*k = 28. What is the greatest common factor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert d730d2 (base 15) to base 8.\nAnswer: 47031234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/10*v**4 + 2\/5*v**5 + 9\/10*v**3 + 0 - 1\/10*v - 1\/10*v**2.\nAnswer: v*(v - 1)**3*(4*v + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1076853 or -1076850?\nAnswer: -1076850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -0.6846, -0.2.\nAnswer: -5, -0.6846, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.15 times 0.0289318?\nAnswer: 0.12006697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -29*h + 2. Let j(o) = 57*o - 3. Let d(s) = -3*j(s) - 5*y(s). Calculate the remainder when d(-1) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*w - 2, 4*w + r - 24 = -0*r. Suppose -2*j = -5*j + 9. Differentiate -w*c - j*c**2 - 3 + 5*c with respect to c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 407269 divided by 1.\nAnswer: 407269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 21 - 1. What are the prime factors of r\/8*(-8)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.1 take away -1.02231?\nAnswer: 59.12231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1277 + 691. Let r = x - -591. Let i = 0.015 + -23.015. What is the fourth biggest value in i, r, -2\/11, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 20*q**2 - 13*q + 54. Determine m(4).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, u: 2, i: 1, o: 1, w: 1, m: 1}. Give prob of sequence iws.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.016887 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1820 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**3 - 3*v**2 - 6*v**3 + 11*v**3 - 3*v in the form p*v + z + o*v**3 + c*v**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 62437 = -36*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*u - 2809 = 4*q + 46*u, -3*q - 18*u + 71 = -5*u - 15*u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5241, 5243, 5245, 5247, 5249, 5251?\n\"Answer: 2*k + 5239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z**4 - 11*z**3 + 7*z**2 + z - 5. Let r(t) = 4*t**4 + 6*t**3 - 4*t**2 + 3. Let m(a) = 3*q(a) + 5*r(a). Let m(s) = 0. Calculate s.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.4 - 9.8. What is the nearest to o in -2, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100 - 10221201?\nAnswer: -10212101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.70953 rounded to 2 decimal places?\nAnswer: -8.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 1. Let d(g) = -10*g**2 - 3*g - 6. Give d(v) + 6*z(v).\nAnswer: -4*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5081 - 1302*b + 2541 - 8707*b + 2540 to y + j*b and give j.\nAnswer: -10009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1871573103?\nAnswer: 3, 207952567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 5*t**2 - 4*t + 1. Let b be f(5). Let j = -31 - b. Let g = 2 - j. Solve 3*x = -m - g, -5*m - 6 + 16 = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/135013 and -27\/14490179.\nAnswer: 536136623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 24344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 209 + 0*r**4 - 11832*r**2 + 5*r**4 - 11*r**3 - 89 + 6*r**3 + 11782*r**2 + 20*r = 0?\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 243 = -7*p. Let g(s) = 7*s + 49. Let n be g(-7). Suppose 3*v + l - 15 = n, 15 = -4*l + 3. What is the remainder when p is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/15 and -47\/6383850.\nAnswer: 6383850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r. Let j(s) = -25*s + 22*s - 15*s. Calculate t(j(w)).\nAnswer: -36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54*-102.331.\nAnswer: 5525.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 5*o + 2. Let t(g) = g**2 + 4*g - 2. Let b be t(-3). Let s be v(b). Let r be (-3)\/(-6)*-1*-1. Is r > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.324\nAnswer: -0.0324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, -20, -154, -432, -902, -1612?\nAnswer: -2610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180616, -361229, -541842?\nAnswer: -722455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(1 + (-3)\/4). Suppose x*t - 6 = 5*t. Let m be 1\/t + (-57)\/(-18). What is the greatest common divisor of 9 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6445657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/56*(-294)\/420\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (155\/(-62))\/(3 + 5\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 30*i - 117. Let d be x(4). Solve -d = -6*z + 7*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-178)\/((3 - 0)*-2) + (-62)\/93.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyy. What is prob of sequence yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -113404, -226806, -340210, -453616, -567024?\n\"Answer: -a**2 - 113399*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1901212*o + 53010 = 1900654*o for o.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = -11*m + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 k, and 1 e when three letters picked without replacement from kufuezd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 781990\/593 = 1319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -4, -29 in increasing order.\nAnswer: -29, -4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/92 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.2 - 9. Let u = 0.9 - c. Let s = 0.3 + -1.3. What is the nearest to 0 in s, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-204)\/54 - (-1 - (-22)\/18). Let o be (5\/10*2)\/i. Is 2\/9 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -12. Let r(n) = 2*n**3 + 110*n**2 - 104*n**2 - 2 - x*n**3. Calculate r(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - sqrt(110)*-2)*1*3)\/(1*sqrt(490) + -2*sqrt(20)\/sqrt(2) + sqrt(10)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*3*sqrt(228))\/sqrt(12) - (1 + (sqrt(1900) - sqrt(1900)*-1 - sqrt(19) - sqrt(19))**2*-1).\nAnswer: 9*sqrt(19) + 6154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from {m: 2, k: 6, t: 1, e: 3, s: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.08 - -3.58. Which is the second biggest value? (a) -4 (b) l (c) 6\/11 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 454434223?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 46069 and 47503 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 63*l = 10*l - 876 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -830 by 109010.\nAnswer: -83\/10901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.260108 months in millennia?\nAnswer: 0.000355009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-4)\/(-16)*4\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4610642, 9221287, 13831932?\n\"Answer: 4610645*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, 73, 155, 259, 379, 509?\n\"Answer: -f**3 + 20*f**2 + f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -195, -194, -193, -192?\n\"Answer: o - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.334211*0.38.\nAnswer: -0.12700018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2643.2371 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(399) - 3*sqrt(399))*6)\/(-6*sqrt(7)*2))\/(-4*6*sqrt(108)*1).\nAnswer: -sqrt(19)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -664 (b) -10 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h*m*o + 3948702*h*m - 31*h*o + 9968*h + 4*o - 2 wrt m?\nAnswer: -2*h*o + 3948702*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*z - 3*z + 3*z)*(0 - 2 + 3) - 3*z + 3*z - 3*z)*(-5 + 6 + 2) + 10*z - 3 + 2*z - 11*z.\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2166 + -2165.8539. Let i = 7.204 - 6.7171. Let t = a + i. Round t to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 13934*n + 752425. Calculate i(-54).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -91869732 divided by 6\nAnswer: -15311622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 14 = -3*m. Let q be (-115)\/(-35) - (-4)\/m. Let y be -16*1*7\/(-28). Solve -y*c = -q*c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.092, 0.58, 7\/11?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**10\/50400 - w**9\/20160 + w**8\/6720 + w**7\/1680 - w**5\/20 - 4*w**2. Let y(x) be the third derivative of f(x). Factor y(p).\nAnswer: -3*p*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 576, 1339, 2408, 3783, 5464, 7451?\nAnswer: 9744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*29\/(-2) + 1. Suppose -49 = -2*c + c. Suppose 4*m + 2*i - 5*i - 174 = 0, 2*i - c = -m. What is the greatest common factor of m and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 7*p**5\/60 + 5*p**3\/6 + p**2\/2 - 6*p. Let z(t) be the first derivative of h(t). Differentiate z(i) with respect to i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24 + 2*x - 4*x**4 + 21*x**4 - 23*x**2 - 16*x**4 wrt x?\nAnswer: 12*x**2 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**4 + 4*i**2 + 2*i - i**3 + 0*i**2 - 2*i**2 - i**3 to the form y*i**3 + k + o*i + u*i**2 + t*i**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4008 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433531.\nAnswer: 7, 61933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -187.66 + -3.54. Let j = b - -192.742. What is j rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.07 or -19094801?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10668987.\nAnswer: 3, 7, 23, 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 768470344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 3 (c) 4\/5 (d) -56\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((3 - -6) + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 5 = 5*t, 4*t + 13 = 19997*u - 19996*u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -422*t**2 + 10*t**3 + 419*t**2 + 7*t**3 to b + p*t**2 + k*t**3 + g*t and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3703385 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -2b?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, a: 4}. What is prob of sequence bb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izrywgyyryygyrgygygz. Give prob of sequence zw.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -13*d - 3 + 3 - 126941*d**2 + 4. Let u be w(11). Round u to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -6 - (-5 + (3 - -20))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + -574\/11. Let m be -9 + 6 + 6\/2. Suppose 4*y - 5*s + 6 = m, -2 = -y - 2*s + 3. Is y bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/15*(-12)\/(-40). Let q = -29.4 + 29.1. Which is the closest to -5? (a) -1\/6 (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.064 and 2379?\nAnswer: 2382.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**5\/20 - t**3\/6 + 8*t**2 - 5*t. Calculate the remainder when 62 is divided by v(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1789.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 0.7. Let v = -0.7 - -0.4. Let y = 4 - 3.6. Which is the biggest value? (a) y (b) j (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4939566784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/2 + 1629*x**3\/2 - 2447*x**2 + 1632*x.\nAnswer: x*(x - 2)*(x - 1)*(x + 1632)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1738)\/10 + 15\/(-75). Let b = 270 + h. Calculate the remainder when b is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27900 + 27742. Which is smaller: -941\/6 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11353, -22631, -33813, -44851, -55697, -66303, -76621, -86603?\nAnswer: -96201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*g - 3218 + 998. Let b = -113 + g. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 73\/1495?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25823, 26050, 26423, 26936, 27583, 28358, 29255, 30268?\nAnswer: 31391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1099695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 - 5*s**2 - 3*s + 16. Let r be u(2). Suppose -z + 2*t = z - r, 3*z + 3*t = 9. Solve l - 4 = 3*j - z, -2*l - 4*j = 18 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -7, -17, -43, -91, -167, -277, -427?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**4\/3 + 2*g + 373. Let u(m) = -m + 68. Give v(u(f)).\nAnswer: 4*f**2 - 544*f + 18496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 15. Calculate the remainder when 11 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**3\/3 + 5*x**2\/2 + 7*x + 7. What is the units digit of y(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-36)\/504*(1 + 1)). Let k(i) = 3*i + 7. Let p(q) = q + 3. Give z*p(h) - 3*k(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 336*i**2 - 292324*i - 291984.\nAnswer: 4*(i - 316)*(i + 1)*(i + 231)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 5. Let z(u) = -77*u - 19. Let j(w) = -216*w - 54. Let f(c) = 5*j(c) - 14*z(c). What is -4*f(y) + 5*r(y)?\nAnswer: 3*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9827b7 (base 13) to base 11\nAnswer: 2022655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -162*w - 2 + 165*w + 2. Let q(h) = -2*h. Give r(q(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.56 + -0.16. Suppose -13*w - 56 = -20*w. What is the closest to w in -5\/3, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 703594 - 33*u - 114*u - 703594.\nAnswer: -147*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 171559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(1*90\/(-132)))\/(9*18\/243).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/168*1)\/((-2)\/(-7)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 > 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 3*m - 4. Let x be p(3). Let a = 14 - x. Solve -2*d = 4*u + u - 29, -4*d - 2*u = -a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4264945939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 2*k - 4 = 1, k = 2*g - 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 5*z - 52, 35*o - 2*z = 33*o - 40. Let k be ((-2)\/12)\/(o + 18). Sort k, -15, -1, -5\/2 in increasing order.\nAnswer: -15, -5\/2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 97, 1, 3 in descending order.\nAnswer: 97, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*w + 2*i, -w + 0*i - i + 11 = 0. Let h be w + 0 + -3 + 1. Find the second derivative of -45*d + d**h - 3*d**5 + 40*d wrt d.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1705, 1706, 1707, 1708, 1709, 1710?\nAnswer: 1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*m**3 - 2*m**3 - 3*m**3 + 33*m**2 + 7*m**3 wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(3 + (-2 - (-213)\/(-216))). Suppose -7*u + 19*u - a = 0. Let f = u - 84. Solve -3*k - 10 - 5 = f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11738.743 - 19.4\nAnswer: -11758.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 324900515?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 28*r - 3709. Let p(k) = -6*k + 6. Give l(p(c)).\nAnswer: -168*c - 3541","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 2*n + 1. Let a(h) be the first derivative of 5*h**3\/3 - 5*h**2 + 5*h - 4. Let r(l) = 4*a(l) - 22*p(l). What is o in r(o) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44247 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 682 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -226041.871903588325089 - -0.018703998325089. Let w = y - -225954.8532. Let l = w - -87. Round l to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5*w + 20, -5*w = 36*v - 37*v. Let r be ((-100)\/8)\/(2\/(-4)). Let d be 1\/(-1)*r\/(-15). Sort -0.03, d, w.\nAnswer: w, -0.03, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 4)*(692 - 2). Let f = 686 - u. Which is the closest to 2\/61? (a) 4 (b) 2\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 5*k - 7*k**2 + 5*k**2 - 3*k to the form v + o*k + r*k**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 52572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 328 + -124. Let m(b) = 181*b + v*b - 4 - 4 - 2. Is m(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137023636?\nAnswer: 2, 971, 35279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 239671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 3*m + 12, -m - 4*m = -20. Let o = -2.97 + -0.03. Let u = -2 - o. Which is the closest to u? (a) g (b) -0.2 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321259 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140090819 by -1.\nAnswer: -140090819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 361108 less than or equal to 361107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6585406177?\nAnswer: 7, 293, 3210827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 1ab8?\nAnswer: 1abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069771729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-5 - (-1071)\/5)*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 8*h + 22, 25802*n = 3*h + 25801*n + 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3204 and 564.\nAnswer: 150588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 171.14 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 14*f**2 - 19*f + 2. Let s be 18\/30 + (-7)\/(-5). Let i(j) = 4*j**2 + 5*j - 5. Calculate the remainder when h(-13) is divided by i(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 8:24 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4377 or -4379?\nAnswer: -4377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 22*b - 156. Let g(z) = -10*z + 78. Determine 9*g(n) + 4*q(n).\nAnswer: -2*n + 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2294, 4589, 6884?\n\"Answer: 2295*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 28 = -2*v. Sort -2, 5, -1, v in ascending order.\nAnswer: -2, -1, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 14 - 6*n + 4*n - 2*n + 3*n. Let w be l(0). What is the greatest common divisor of w and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-4 - 12 - -4) - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*c = 135*c - 265*c + 85 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.058, 1, -0.07, 0.5, -3\/5 in decreasing order.\nAnswer: 1, 0.5, 0.058, -0.07, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3150618?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14321934*b**2*d**3 - b*d + 31840465*d**3 + d with respect to b.\nAnswer: -28643868*b*d**3 - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a week in minutes?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 25 + (21 - 27) - -2 - 29.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2626548 divided by -3.\nAnswer: 875516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-85)\/(-10))\/((-1)\/2). Let h = c - -16. Let u = h + 19. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847807 is divided by 3118.\nAnswer: 2829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*m + 4, 18 = 3*c - 5*c - 3*m. What is the units digit of (-1 - c) + -4 + 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -270231 and -270232 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*-3 - (-28)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9195 - 711 = 254*i for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 8008*h - 342492. Calculate q(-43).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5100 less than -10069601?\nAnswer: -10064501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 39169260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-28 - -18) + -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2, 3*y = -5*a + 4*a + 7. Which is smaller: a or -3\/521?\nAnswer: -3\/521","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*-18*(-14)\/1176*14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1 - 4 - 7 - 4 + (1 + 2 - 2)*(-1 + 0 + 2))*((-6*a + 0*a + 4*a)*(-4 + 4 + 1) - 4 - 2*a + 4 - 222*a - 226*a + 387*a).\nAnswer: 1040*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1286903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*v - v + 58 = 0, 15 = -3*v. Let d(t) = -z*t + 1 - 8 + 4. Let p be d(-9). Calculate the greatest common factor of p and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/84)\/((-296)\/(-16576)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-2*-5 - sqrt(77) - sqrt(77) - (sqrt(77) - (1*(sqrt(77)*-2 + sqrt(77)) + sqrt(77))))\/((sqrt(132)\/sqrt(6)*1)\/sqrt(2)).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 10*v - 22. Let k be r(4). Let f = k + -29. Suppose f*x = 5*g - 490, -3*g - 5*x = -470 + 176. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11381 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -77, -58\/5, 5, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/17604 and -113\/216.\nAnswer: 35208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94 + -51. Let z = i + -26. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -582872\/125 + 4663. Let n = q + -134\/375. Which is the closest to 0? (a) n (b) 3 (c) 0.4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 12 - -5 - (-2 - 1 - (0 - 59))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 - 268 = 5*n. Let x = n - -37. Solve 5*a + 0 + 5 = x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k**3 + 3*k**2 - k - 1. Let o(a) = a**2 - a - 1. Let l(w) = -2*o(w) + q(w). What is l(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - n**2 - 1. Let b(h) = -13*h**3 - 5*h**2 + h - 3. Let d(w) = -b(w) + 4*g(w). Let i = -5367 - -5366. Calculate d(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**5 + 2*y**3 - 2*y + 1. Let m(g) = 3*g**5 - 241*g**3 + 5*g**2 - 5*g - 4. Let f(c) = -m(c) - 4*w(c). Find the third derivative of f(q) wrt q.\nAnswer: 60*q**2 + 1398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.9971 - -18. What is k rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99 + -75. Let o(z) = z**2 - 5*z - 1. Let x be o(2). Let y(n) = -n**2 - 5*n + 23. Calculate the least common multiple of k and y(x).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**2 + 41*n - 7. What is d(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3977373, 15909504, 35796391, 63638034, 99434433, 143185588?\nAnswer: 194891499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + a - 2 + (3 - 1 + 0)*(3*a + 1 - 1) - 1 + 1 - a + 4*a - 2*a + a - 6*a + 0*a + 2*a)*(-4 - 1 + 7) as c + m*a and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*n - 423*n = -g + 28, 166 = -3*n + 5*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2007 divided by -223?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2612 - -4325.15879.\nAnswer: 6937.15879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -27*x**4 - 17*x**3 - 41*x. Let b = 34 + -17. Let s(r) = 9*r**4 + 6*r**3 + 14*r. Let q(h) = b*s(h) + 6*z(h). Find the second derivative of q(d) wrt d.\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30187 or -30186?\nAnswer: -30186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/14 - ((-4)\/25)\/(28\/(-140))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -892 divided by 1.\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*(18\/7)\/(-3). Suppose 0 = 2*y - a*y - 5*z + 741, -y = -2*z - 195. Let r be (6\/(-7))\/((-9)\/y). What is the highest common divisor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-14 + 9 - 1) + -36?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -440 + 444. Suppose 4*r + 0*u + 1 = -5*u, 5*r = 4*u + 50. Calculate the remainder when r is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009417611 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43c80 (base 13) to base 6.\nAnswer: 2345143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/(sqrt(28)\/sqrt(4)) - (sqrt(315)\/sqrt(7))\/sqrt(9))**2 - 2*(1 + sqrt(605) + -3)) + 4.\nAnswer: -22*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -5. Let i(j) = 49*j**2 + 22*j - 5. Let t be i(-2). Let z = t + m. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 12, -4, 0, 1, -3 in descending order.\nAnswer: 30, 12, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2624, 2640, 2656, 2672?\nAnswer: 2688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.4 - -2.4. Let q = -0.08749 + -0.91251. What is the closest to d in 2, -5, q, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 + 7 - (56 - 49))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5695 and 5.\nAnswer: 2.8475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 i when three letters picked without replacement from {u: 1, g: 7, i: 2, a: 1, p: 4}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 332*j**4 + 7*j**3 + 12*j - 1587045 with respect to j.\nAnswer: 1328*j**3 + 21*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 18*a**3 - 3*a**2 + 179*a - 541. Give g(3).\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(3\/5))**13)**(2\/109)\/((o**(-7\/3)\/(((o\/o**(2\/13))\/o)\/o))\/(o\/(o*o*o\/(o**(-2)*o)*o))**(-29)) assuming o is positive.\nAnswer: o**(2498762\/21255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 5*l - 9 = 2*a, 3*l + 5*a + 24 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-15))\/4*15\/(-170).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/792 and 4\/495.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 86 + 72 - p. Let f be w(17). Suppose 3*v - f*c - 93 = 75, -3*c = -2*v + 108. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**4 - 6*m**3 - 12*m**2 + 6*m + 9 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -3\/8*z**4 + 0*z + 1\/60*z**5 + 0 + 2*z**3 - 11*z**2. Give m(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*l**3*y**2 - 601*l**2*y**3 - 423*l*y**3 - 76*l wrt l?\nAnswer: 282*l*y**2 - 1202*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**6\/360 + f**4\/24 + 2*f**3\/3 - 2. Let l(a) be the third derivative of r(a). What is the first derivative of l(z) wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + 3*s - 4*s - s + 4*s - 5*s - s + 0*s - 2*s + (s + 0*s - 2*s)*(-2 + 3 + 0) - 2*s + 2*s - s - 160 + 160 - 13*s)*(-1 + 3 - 1) as q*s + l and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -848 divided by 16?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1618 and -0.3?\nAnswer: -485.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3444.166 rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2, 3\/7, 49, 0?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 548539490 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/3519 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 346, 687, 1018, 1333, 1626, 1891?\nAnswer: 2122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -118*b + 16. Let z(o) = -39*o + 5. Determine -3*x(p) + 10*z(p).\nAnswer: -36*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 1:59 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0867104809 rounded to 4 dps?\nAnswer: 1.0867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2, -0.2081, -2\/7, 2\/349?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -13557*q - 40. Let z(y) = 4519*y + 11. What is 2*l(n) + 7*z(n)?\nAnswer: 4519*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 240, 525, 920, 1425, 2040, 2765?\nAnswer: 3600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1233 is divided by 207.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14193702 is divided by 2275?\nAnswer: 2252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 2\/7 (c) 0.17 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 697 - 693. Solve 0 = h*f + d + 10, 6*d + 6 = f + 2*d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -62, 2\/21, 3, -10, -2, 0.93?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z - 2*z + 16 + 7*z**2 - 14 + 10*z**2 + 3*z to q*z**2 + r*z + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -228363+-38379\nAnswer: -266742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 4*h - 6*h. Which is the closest to h? (a) -1\/8 (b) 19 (c) 0.1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 41488349*d + 89 + 41488461*d in the form n*d + a and give a.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.2 less than or equal to 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218141, 225038, 236533, 252626?\nAnswer: 273317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2290048595?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**(2\/11)\/(k**(3\/4)*((k**(-2\/9)*k)\/k)\/k*k))**(-15\/7) assuming k is positive.\nAnswer: k**(1405\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from kxqgdkk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(13) + 4 - sqrt(143)\/(sqrt(11)*-1).\nAnswer: 3 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*l + 165 = 0. Is 33 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 559*q + 1 + 1 - 5 + 558*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 9?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 265 + -263. What is the nearest to -2\/3 in -1, t, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8166553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 - -49. Let p = -28 - z. Which is the second smallest value? (a) p (b) 10 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 11\/6 (c) -3\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8880 + -5536. Calculate the highest common divisor of j and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 + 2. Let k(t) = t**3 + 5*t**2 + t - 5. Give -5*g(h) - 2*k(h).\nAnswer: -2*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2823676.886 rounded to the nearest one thousand?\nAnswer: 2824000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hztzxh. Give prob of sequence xhh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -2*w - 3*b + 120, -2*w + 4*b = -66. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161631139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 + 57. Let q = -2 - -4. Suppose q*s - 11 - 111 = 0. Calculate the remainder when s is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*k - 13 = -1, -5*k = -10. Let a be n*(3 - 6)*(-4)\/6. Suppose c = -a*g + 602, 4*c - 66 - 92 = -g. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 8:35 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -x - 32. What is the second smallest value in 0.5, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2415)\/552)\/(84\/80).\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547425.\nAnswer: 3, 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3781*j**2 + 5942*j**2 - 9723*j**2 - 2*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 = -164*g + 161. What is the nearest to 0.13 in -426, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((2\/(-3))\/2)\/((-22)\/66). Suppose 3*i = m + t, -3*i - 5*m + 10 = -21. Solve -i*d = g + 3, -5*d + 6 = -3*g - 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 0*g - 12 = -2*r, -18 = -2*r - 5*g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*r + 57, 4*r + 76 + 6 = 5*v. Calculate the smallest common multiple of 6 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 8*n - 4. Let w be y(-7). Let v be -2*w\/4*-2. Factor -3\/4*o - 1\/4*o**2 - 1\/4*o**4 + 3\/4*o**v + 1\/2.\nAnswer: -(o - 2)*(o - 1)**2*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5843 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 26*k**2 - 6*k + 4 + 27*k**2 - 71*k**2 + 17*k**2. Determine p(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -430, -428, -426, -424?\n\"Answer: 2*w - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1432 + -1429. What is the nearest to 0 in b, 20.3, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 2415*b**3 + 690*b**3 + 20 + 855*b**3 + 868*b**3.\nAnswer: -2*b**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3910728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0791 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s + 70 = 0. Let i = s + -4. Solve -2*l + l + 4 = -v, 3*v = 2*l - i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13300912 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 690 = 3*v, 172 = o - 16*v + 17*v. Let x = o - 173. Let n be 2\/(-6)*(-6)\/(-8). Is n <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -210306825.217 and 0.9.\nAnswer: -210306824.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 10*j**2 + 24. Calculate the lowest common multiple of m(-10) and 410\/18 - -1 - 20\/(-90).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/4)*(n\/(n**(-1\/4)*n))\/n*n\/(n*n*n**0)*n**(2\/3) assuming n is positive.\nAnswer: n**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -44*s**3 - 7*s**2 + 10*s + 419. Let k(y) = -29*y**3 - 5*y**2 + 7*y + 280. Let o(g) = -7*k(g) + 5*u(g). Differentiate o(d) with respect to d.\nAnswer: -51*d**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.3*-0.1046924\nAnswer: -0.45017732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 9) in base 12?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t**5\/3 + 22*t**4\/3 - 26*t**3\/3 - 2*t**2 = 0 for t.\nAnswer: -3, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w**3 - 14*w - 2. Suppose -34 = -28*d + 30*d + 4*a, -3*d = -4*a + 1. Let x(h) = 5*h**3 + 15*h + 2. Calculate d*z(v) - 6*x(v).\nAnswer: -2*v**3 + 8*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/2)\/((-1)\/(-2)). Let j be ((-1)\/2)\/(u\/2). Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(2\/5)))\/c*c*c**27*c**(-3)*c**(-1\/32)\/c assuming c is positive.\nAnswer: c**(3739\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**3 - l - 2. Let p be y(-1). Factor 8*j**3 + 16*j**5 - 4 - 32*j**2 - j**4 - 24*j + 0*j**4 + 37*j**p.\nAnswer: 4*(j - 1)*(j + 1)**3*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 5*c - 10, -14*m - 3*c = -15*m - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11868, -11870, -11872?\nAnswer: -11874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 278, -1 in ascending order.\nAnswer: -4, -1, 1, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32651, 0, -9\/2 in decreasing order.\nAnswer: 0, -9\/2, -32651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h**2. Let l be b(-1). Let w = l + -5. Suppose 4*r + u - 22 = -0*u, 3*r = 3*u + 24. Solve -z + w = -r*y + 3*y, -4*z + 16 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1785999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4186*j + 3079. What is the ten thousands digit of a(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3*u + 5*n - 9 = 0, -4*u - n = -12. Factor -2*j**4 + 2 - 3*j**u + j**4 + 0*j**4 + 3*j - j**2.\nAnswer: -(j - 1)*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 78 + 3e9b45?\nAnswer: 3e9bbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 1, -506, 848, -2 in ascending order.\nAnswer: -506, -6, -2, 1, 5, 848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*l + 41, 0 = -2*k - 5*l + 32 + 55. Suppose 4*p + k = 75. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0295 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*a**2 - 86 + 14*a - 287 - 16*a + 373.\nAnswer: 30*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k + 5. Let d(g) = 3*g + 6. Let t(f) = 2*d(f) - 3*z(f). Let v be t(-3). Let x(o) = -o + 9. What is x(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*z**4 - 13*z**4 - 46*z**4 - z**4 + 4*z**4 - z**4 + (-z**2 + 1 - 1)*(5*z**2 + 0*z**2 - 4*z**2) to w*z**3 + m*z**4 + g + l*z + v*z**2 and give m.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 0*a**4 + 0 - 1\/2*a**3 + 0*a**6 + 0*a - a**2 + 0*a**5 + 1\/105*a**7. What is the derivative of q(f) wrt f?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1*84\/(12\/1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 329746379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986167959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 81547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 - 842 - 694 + 1216 to b*f + u*f**2 + k and give k.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 2*r + 4. Suppose -m = -4*d + 21, -4*d - r*m = -0 - 6. Suppose 0 = 2*s - d*t - 26 - 0, -9 = -3*s - 4*t. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15813846 is divided by 1581384.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 575818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/12)\/(20*57\/(-13680)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 = -11*i - 64 - 2 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aya when three letters picked without replacement from yaayy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + 2 - 2)*(1633 - 1957 - 913 - 458) to the form m + f*a and give f.\nAnswer: -3390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 3*x + 2. Let i be b(-4). Let k = i + 44. Let m = k + -13. What is the remainder when 18 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -870, -1905, -2940, -3975?\n\"Answer: -1035*g + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7887589 is divided by 258?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**5\/2 + 2153721*f**4\/2 - 2153709*f**3 - 4307433*f**2 + 4307421*f\/2 + 6461145\/2 = 0.\nAnswer: -1, 1, 3, 717905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27, -38, -39, -24, 13, 78, 177?\n\"Answer: o**3 - o**2 - 15*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73591, 147107, 220553, 293929, 367235?\nAnswer: 440471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 4126642555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1311650 (base 12) to base 3.\nAnswer: -21001211002020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 not equal to 14801\/4604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 16 = -9*b + 11*b, b - 2*z = 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 - -11265361?\nAnswer: 11265420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 9 = -5*u, -14*w - 5*u - 22 = 29. Which is the third biggest value? (a) w (b) 148 (c) -3 (d) -4\/3 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/6*(8*(-14)\/36)\/((-885)\/(-1593))?\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*p + 1879 + 981 = 138*p + 28*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/1680 and -149\/6384.\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/12*(-936)\/182)\/(1\/2).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + -22 - -25 - 50?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 484828954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 5*v - 340, -4*v = -2*n + 422 - 166. Suppose 5*k = n - 45. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 8949.\nAnswer: 17898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1504696207?\nAnswer: 7, 214956601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 8 + (0 - 19 - -186). What is the greatest common factor of 14018 and i?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h - 9*h + 41*h**2 - 8*h.\nAnswer: 41*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -a03?\nAnswer: a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*w + 0*w = -59, -w - 5 = 0. Suppose -3*f + 35 = m, -3*m - 7 + p = 2*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 99256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 786241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4277?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 2*y = 4*y - 4, -2*g + y - 7 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3373474 divided by -2.\nAnswer: 1686737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**2\/2 - m + 1. Let l be d(-4). Suppose -l*h + 18 = -45. Calculate the remainder when 40 is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2187 - 2133. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617391749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -52*x**3 + 2*x**2 + 3*x - 566. Let r(a) = 86*a**3 - 5*a**2 - 5*a + 1132. Calculate -5*k(z) - 3*r(z).\nAnswer: 2*z**3 + 5*z**2 - 566","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 27.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*r - 31*r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 43. Suppose 27 = 3*l - 3*o, -o - 72 = -5*l - r*o. Solve -2*k + 4*m = l, -4*k - m = -2*m - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 175\/7*3\/2*686\/4655*-19?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53, -57, -47, -11, 63, 187?\n\"Answer: 2*x**3 - 5*x**2 - 3*x - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 349940 and 53180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 divided by 170?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 714 and 13545532?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/(-9) - 0)*-3. Let z be (-2)\/1 + 7 + a. Suppose 0 = -4*o, 0 = 5*c - 3*o - z*o - 65. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11330 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1764477, -3528967, -5293457, -7057947?\n\"Answer: -1764490*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 50922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 7*t + 0*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 9*l**2 - 19*l**2 - 8*l**2.\nAnswer: -39*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5613)\/(-6) + 0 + 50\/(-100)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 47*k + 3. Let w(y) = y**2. Calculate w(n(d)).\nAnswer: 2209*d**2 + 282*d + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 69269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.22? (a) 0 (b) -0.298 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7332, 7329, 7324, 7317, 7308, 7297, 7284?\nAnswer: 7269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 17. Let j be i(15). Let r be (-4 + j)\/(8\/84). Let u = r + 42. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55.02 - 0.98. Let k = -54.924 - c. Let n = k - 1. What is n rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 30916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 0*c**3 + 0*c**5 + 2\/105*c**7 + 0*c**6 + 0*c + 11\/24*c**4 + 0 - 8*c**2. Find the second derivative of m(p) wrt p.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) 2\/7 (c) 6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -578.95*7.062.\nAnswer: -4088.5449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 5:05 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 96604957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(2*sqrt(70) - sqrt(70)) - sqrt(70))\/((sqrt(10) - sqrt(10)*2)*-6))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 337\/365 + -9\/73. What is the nearest to 1 in s, -0.1, 4, -3\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 30 + 38. Let y(m) = -2*m**2 + 1. Let q be y(-3). Let r = q + 21. Solve 5*o - 3*n - h = -r, o - n - 1 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -10*i**2. Let u(m) = 6*m**2 - 3*m + 8. Let b be u(-4). Let c(q) = b*q - 37*q - 39*q - 30*q. Determine f(c(a)).\nAnswer: -1000*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5896*g + 4244*g + 203906 + 2234*g - 203906 in the form r + c*g and give c.\nAnswer: 12374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*(-2*sqrt(114) + sqrt(114)))\/(sqrt(864)*-3)*-4)**2.\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 689417143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -41. Let s = 18 + d. Is s + 2728\/(4 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2323*k**4*m + 510*k**2 + k*m wrt k.\nAnswer: 55752*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3464 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*o - 223. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*w + 87734 - 86334 = 0 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1644, -1686, -1718, -1734, -1728?\n\"Answer: x**3 - x**2 - 46*x - 1598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415 = -3*t - 2*q - 1226, 2*t - 4*q + 530 = 0. Let n = t - -272. Put n, -84, 5, 4 in decreasing order.\nAnswer: 5, 4, n, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144269509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/6)\/(48\/36))\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -237 + 237 + 155*w**3 + (-1 + 1 + w)*(w**2 - 2*w**2 + 2*w**2) + 24 + 169*w**3 + 32 - 56 in the form p*w**2 + d*w + o + n*w**3 and give n.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 5 + (-1 - 5) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -2, 14, 48, 106, 194, 318, 484?\nAnswer: 698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 163 = r. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/4)\/(1 - 2). Let p be y - (-7 + 3 + -3). Solve 2*u + 20 = p*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = o + h, -4*o + 1259 - 1241 = 5*h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -63.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*b - 3*t + 4*t, -2*b = t - 2. Solve -5*d + b = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**6 - w**4 - w**2 - w - 1. Let b(u) = 4*u**6 - 35*u**4 - 8*u**2 - 2*u - 2. Let z(x) = -b(x) + 2*q(x). Find the third derivative of z(d) wrt d.\nAnswer: -240*d**3 + 792*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 6303 - 32902. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 + 272*y**2 - 2*y**3 - 9841 + 9841)*(3 + 5 - 6).\nAnswer: 2*y**4 - 4*y**3 + 544*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -3, -2\/5, 5\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 107 or 106?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2. Let k(i) be the third derivative of 1\/30*i**5 + 0*i**4 - i**2 + 0 + 0*i**3 + 0*i. Give l(k(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-81)\/(5 - -4) - -22. Solve -s*p = -10*p + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*t + 241 + 137, 5*t = y - 370. Calculate the highest common factor of y and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26765 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360799 is divided by 189.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*b + 55 = -7*b, -2 = -2*b. Suppose -4*c + j = -0*c. Let z be c\/((-20)\/(-16))*(-6)\/(-8). Sort -5, z, -4, 5.\nAnswer: -5, -4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-147)\/6)\/7)\/((-35)\/3)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.2 - -2.2. Put -1\/2, 2\/7, v in descending order.\nAnswer: 2\/7, v, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*h - t - 2*t, 2*h = -3*t - 20. Let o = 97 - 92. Let y = o + h. Sort 0, -4, y in descending order.\nAnswer: 0, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 11*x - 2. Let y(w) = 45*w - 6. Let a(l) = -9*u(l) + 2*y(l). Let o(f) = -f - 1 - 2 + 4. Calculate a(b) - 6*o(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -2*j - 0*j. Is 10 a factor of -2 - -2*j\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1149*l**3 - 1 + 0 + 86*l**2 - 1983*l**3 - 322*l**3 - 85*l**2.\nAnswer: -3454*l**3 + l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-52)\/7 + (-24)\/(-56). Let d = -8 - y. Let q = -0.6 + -0.4. Do q and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -965?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*(-40)\/150?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 4\/201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2700\/10)\/(4 - 2) - 2. Suppose -21*l + p + 35 = 0. Solve 4*v = l*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4465 and 27555130?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m = 22*m - 200. Solve -o - 9 = -3*z, -5*o - 9 = -m*z + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001664480101 rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q**2 - 3*q**2 - 3*q**2)*(-1 + 3*q + 1)*(1 + 6 + 1) to t*q + x*q**3 + a + i*q**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 6.9 (c) 0.4 (d) 61 (e) 1 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*m**2 - 10*m**2 + 2*m**3 + (-7 - 372*m + 19 - 10)*(-2 - 2 - 1)*(-2*m**2 + 3*m**2 - 2*m**2).\nAnswer: -1858*m**3 + 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - ((2 - 7) + (47 - 24))) + 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 + 76. Which is the smallest value? (a) x (b) -17 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(3 - 2))\/2. Let h(y) = y**2 + 11*y + 5. Let n be h(-11). Find the second derivative of 4*l**5 + g*l**5 - l**n + 3*l wrt l.\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -140 <= -1567494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/66298300 and -22\/661.\nAnswer: 66298300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 25\/27*y**3 + 0 - 5\/9*y**4 + 125\/18*y**2 + 191*y + 7\/90*y**5 - 1\/270*y**6. Factor s(g).\nAnswer: -(g - 5)**3*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 l, and 1 v when three letters picked without replacement from {v: 3, l: 5, m: 8}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11376 + 425?\nAnswer: 12023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**2)**(-24))**(-8\/11) assuming v is positive.\nAnswer: v**(768\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7974 divided by 443?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.4, -1\/11, -367\/3, 3\/14, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 5. Suppose -2*n = -i*u - 7*n + 20, u - n = -4. Is u >= 4\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2358 + -2358.84. Which is the smallest value? (a) y (b) 1 (c) 1\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 199 = 5*y. Suppose 46 = i - y. What are the prime factors of i?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1516051 (base 9) in base 2?\nAnswer: -11001100100000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-151)\/((-18875)\/(-100)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56895627 a multiple of 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 54. Calculate the greatest common factor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 1b54?\nAnswer: -1b59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*k + 22 = 0, -o + 0*k + 6 = -k. Let z = -39 + 81. Calculate the lowest common multiple of o and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.017 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -123\/14 at most as big as -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 12. Suppose 0 = -c - 4*c - 25. Is (c\/(-4))\/(r\/(-4)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 + -54 - ((0 - (4 - 3)) + 7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-5))\/((-2)\/(-5)). Suppose -7*m + 190 = -2*m. Suppose 0 = -3*d - 3*y + 21, -5*d - 4*y + 0*y + m = 0. Solve -4*o + d = -t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -5, -3, -0.23, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2, 0.018, 2\/13?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26208920.\nAnswer: 2, 5, 655223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 3*b - 9, 29*b = -g + 25*b + 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -37379, -37370, -37357, -37340, -37319, -37294, -37265?\n\"Answer: 2*a**2 + 3*a - 37384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 256130*u**2 + 12*u + 24. Let x be q(-2). Suppose 9*o - 4*g = 6*o + 614680, -x = -5*o - 4*g. Round o to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine fifths of a decade?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -47 + (-9 - (-18 + 1)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4328 - 4327.7. What is the second biggest value in -2\/3, 2, h, 55?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1534 - -1536. Let r(g) = 6*g - 12. Calculate r(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/5 - (-4 + 6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*q + 39*q - 5417 = 15*q + 16062 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5443 + 5446. Solve -y - 2*z - 16 = -6*y, -k*y = -4*z - 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) 3 (c) 614 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-2) + 0)\/((-16)\/(-32)). What is the thousands digit of ((-28)\/(-126) + 5897\/r)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 6:55 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23239 + -23148. Which is the biggest value? (a) -1 (b) 0.3 (c) -5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (27 - 0)*(-28)\/(-6). Suppose u = 5*b - 250, 3*b - x = -u + 16. What is the greatest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -526*v + 23734 - 10163 - 13571.\nAnswer: -526*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148171629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1381544, 2762993, 4144442, 5525891?\n\"Answer: 1381449*n + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3062768 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 6*a - a - 3, f - 1 = -3*a. Let u(d) = 3*d**2 - d - 1. Let k be u(-1). Suppose 0 = -3*n + n - 2. Put n, k, f in increasing order.\nAnswer: n, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*m + 15, -s - 3*m + 6 = s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -2. Let b = -0.26 - -0.06. What is the closest to -0.1 in y, -2\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118118 divided by 7\nAnswer: -16874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i, -23*i = -4*a - 18*i + 4. What is the fourth smallest value in 3, -2\/5, a, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 + q. Is g(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4 + 26*h**3 - 383*h**2 - 840*h - 432 = 0. What is h?\nAnswer: -36, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 - 61*n**2 + 1375*n - 149. Determine y(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 28 = -p, 0 = 5*g - 2*p - 10 + 44. Let a = -6 - g. Suppose a = -3*u - 9 - 6. Sort 4, u, 3 in increasing order.\nAnswer: u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11 - 1) + 4\/2. Suppose -5*b + c = -2*b. Suppose -x - 2*g = -6*g - 2, 4*x = 2*g + 8. Solve 4*i = -4*l + 12, -b = x*i - 2*l - 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32, -25, -4, 37, 104, 203, 340?\n\"Answer: u**3 + u**2 - 3*u - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. Let y be g + -2 + 3 + 1. Suppose -y*x + 29 = -23. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*f + 3*z, 0*z - 3*z = -2*f + 9. Let w(m) = m**3 - 10*m**2 + 10*m + 6. What is the tens digit of w(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 - 55*w + 5. Let n be o(-31). Let y = n - -7421\/35. Suppose -1 = 3*g - 2*g. Which is bigger: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22221110120 (base 3) to base 4.\nAnswer: 222332130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(4 + -4 + 1). Let v(k) = -k + 11. Calculate v(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 237, 1212, 3687, 8412, 16137, 27612?\n\"Answer: 125*q**3 + 100*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**7)\/i**(2\/21)*i\/i**(-3\/4)*(i**(-1\/8)\/i)\/i assuming i is positive.\nAnswer: i**(1265\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -7. Let p(i) = 391*i**3 + i - 1. Is p(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/14991 + 154931\/179892. Let x = b + -1577\/828. Find the common denominator of -63\/2 and x.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -2*k**6\/9 + 134*k**5\/9 - 7015*k**4\/24 - 2645*k**3\/2 - 821*k**2. Suppose w(n) = 0. What is n?\nAnswer: -1, 69\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181 times -242583?\nAnswer: -529073523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4555 - 4?\nAnswer: 4551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 56*u**3 + 2*u**2 - 12*u + 36. What are the prime factors of i(5)?\nAnswer: 2, 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5641819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Suppose 6 = 6*u - 3*u. Let w(g) = -18*g - 2*g**u + 18*g. Calculate f(w(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/2*(-1*1)\/(498\/(-996))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -10. Let h = -5 - j. Which is smaller: 9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 75\/4 of a meter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 5*v**2 - 5*v - 3. Let a be n(5). Let s be 234*(-3 - a\/8). Calculate the greatest common factor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + ((-1*sqrt(475)*-3 + 1*(sqrt(475)*2 - sqrt(475)))**2 - ((-1 + sqrt(475) + 0)*-4)**2)).\nAnswer: -80 + 640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2, 2\/5, 65, 10\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189) + 1*sqrt(189)*4 - sqrt(189))\/((sqrt(3)*-1 - sqrt(3))*3) + -2)**2.\nAnswer: 8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 13546.\nAnswer: -5\/13546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6144\/(-160))\/32*((-2)\/1)\/2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1692585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 21 = -3*l, 4 = -4*l - n + 5*n. Suppose -3*j - 1 = -4. Factor -3*o**2 - o - o**3 + 6*o**l - 2*o + j.\nAnswer: -(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 - -59. Let s = 28 + c. Let t(r) = r**2 - 3*r - 3*r**2 + 9*r**2 + 6 - s*r. Let l(x) = x**2 - x + 1. Determine 6*l(b) - t(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*j**3 - 30*j**3 - 156*j**3 + 2 + 50*j**3 + 2*j + 5*j.\nAnswer: -230*j**3 + 7*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 89?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z. Suppose -3*q = -3*x - 12, 0 = -5*q + 2*x + 21 - 7. Let w(c) be the third derivative of 0*c - 1\/12*c**4 - q*c**2 + 0*c**3 + 0. Give w(j(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9640 and 1055992592.\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -36 - (-1 + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98909127 by -279.\nAnswer: -354513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9*p. Let h(w) = 434*w + 633*w - 1868*w + 569*w + 515*w. Calculate h(b(z)).\nAnswer: 2547*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -28*5\/((-5)\/(-2)). Let f = -32 - i. What is the greatest common divisor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -460 + 459.9. Let j be (2 - 9\/15) + -2. What is the closest to 0.2 in v, 4\/7, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15877*h - 20580 wrt h.\nAnswer: 15877","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-45)*(-3)\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-124*a**2 - 204*a**2 + 175*a**2)*(0*a + 2*a + 0*a) + 381 - 381 + 91*a**3 to i*a + w*a**3 + y*a**2 + c and give w.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00151027302 rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + w - 144. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 123 = 129. Which is the nearest to 0.3? (a) q (b) -1\/5 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**7\/630 - i**6\/360 - i**5\/120 + 5*i**4\/12 - 3*i. Let p(j) be the third derivative of y(j). Give p(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 11*t + 1. Let u be q(-9). Suppose 0 = v - 3*z - 15, -8*z + 10*z = -8. Factor -50*k + 6*k + u*k**2 + 6*k**2 - 25*k**v + 8.\nAnswer: -(k - 2)*(5*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2\/2 - 513*b\/2 - 258 = 0. What is b?\nAnswer: -1, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1187*i + 22547. Give y(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-12) - (-8)\/32. Let m be 8\/(-10) - (6\/(-180)*124 + 4). Which is the closest to d? (a) 3\/59 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692547.3ms in minutes?\nAnswer: 11.542455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151008, -302014, -453022, -604032, -755044?\nAnswer: -906058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5100 bigger than -5103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*o + 11, -2*l + 2 = -2*o - 0. Suppose l*c - 238 = -5*c. What is the highest common factor of c and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -1, -11632.\nAnswer: -11632, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 8:53 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 8*b - 4. Let x be y(-3). Suppose -x*j = 4, -k + 5*j + 7 = -54. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1.1 (b) -1 (c) 1\/9 (d) 3 (e) 2 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63804871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1328.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and 704?\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u + 4. Suppose -28 = -2*s - 3*c, -4*s + 5*c - 2*c = -38. Is q(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23327, -23315, -23299, -23279, -23255, -23227?\nAnswer: -23195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20820 and 45530?\nAnswer: 94793460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 18*b**2 - 4204*b + 12449. What is h(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101825 is divided by 45.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 37408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6882680391 to the power of 1\/3, to the nearest integer?\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from {t: 14, l: 5}?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 7:01 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -15. Let x be -4*(-1500)\/v*-345. What is x rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + t - 84 = 0, -5*x + 8127 = -4*x + 2*x + 150*t - 3708 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 12:58 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/7 + -1 + -7. What are the prime factors of 29 - (a - (-1 + -1))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*s - 49, -2*t + 1 = 5*s + 2. What is the derivative of -5 + 38 + 39*x**2 + t + 0 wrt x?\nAnswer: 78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from {e: 5, q: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 1, l: 3, p: 1, i: 1}. Give prob of picking 1 g and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 157)*26\/(-78). Suppose k - 87 = -7*m. Suppose 4*r - 114 + 14 = 0. Calculate the greatest common divisor of r and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -10 (c) -598 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4261, 4232, 4203, 4174, 4145, 4116?\nAnswer: 4087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -224023403120 + -4?\nAnswer: -224023403124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -0.004 (c) 0.4 (d) -0.4 (e) 2\/197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 43.67371 tonnes?\nAnswer: 43673710000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5028*q**2 + 3*q. Let h be v(-4). Is h\/108 + 4\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 788*f + 137451. Let j be u(260). Let y be (-2)\/(-6) - 80\/(-3). Calculate the highest common factor of y and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4393138100 rounded to the nearest one million?\nAnswer: -4393000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -162 + 77. Let p = -82 - s. Suppose 4*o = g + 23, p*o - 2*o - 5*g = -18. Solve -3 = h - o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-6)\/(-45))\/(-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from evivevvvvvvvevv?\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 281 by 6.\nAnswer: 281\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(320)*-3)**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1896)\/395*15\/6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*j + 366 = 0, 1177 = 3*g - 3*j + 49. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 1. Let l(u) be the first derivative of -u**3\/3 + u**2\/2 + 6*u + 12. Let k(d) = -l(d) + 4*y(d). Let w be k(-2). Put -4, w, 0 in descending order.\nAnswer: w, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - 14. Let z = -29 - q. What is the least common multiple of 4 and z*(-8)\/4*-1?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + d = -399. Let h(f) = -f**2 + 14*f + 2. Let i be h(14). Suppose d*v**2 - 5 - 26*v**2 - 15 + 10*v**i = 0. Calculate v.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1872) + -1*sqrt(1872).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7457*m - 5. Let g(v) = -49*v**2. Determine z(g(r)).\nAnswer: -365393*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*u + 6*u. Suppose -3 - 9 = u*p, 2*p = -3*n - 188. What are the prime factors of (n\/(-8))\/(3\/4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-9)*(-12)\/(-8). Let m(s) = s**2 + 3*s + 1. Let i be m(-1). Put 5, i, u in descending order.\nAnswer: 5, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 42*q - 642. Determine x(54).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -5 (c) 0.01 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*k = -5*q + 290, -560 = -2*k - 5*q. Let d = k + -267. Solve -6*n = -y - 2*n - 15, d*y - 20 = -n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2448)*-1*-4 + 4*(2*sqrt(2448) - sqrt(2448)))**2.\nAnswer: 576*sqrt(17) + 156681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**5 - 30*d**4 + 2*d**2 - 133?\nAnswer: -180*d**2 - 720*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16968143.\nAnswer: 373, 45491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -357*v - 153420. Determine o(-430).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 690*c + 322957. Calculate x(-468).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.097913 + -1.12391354. Let n = m + 0.026. Round n to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3b (base 12) to base 6\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 600 = 16*a. What is the third derivative of 240*p**2 - a*p**2 - 119*p**2 - 23*p**5 wrt p?\nAnswer: -1380*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 3, 1, -3, -1, 4000, -4 in increasing order.\nAnswer: -20, -4, -3, -1, 1, 3, 4000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 308 and 4158.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/45 (b) -2\/275 (c) -3\/145 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and ((-2)\/(-2) + 5)*(29 + -24)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/2 - 16\/20. Let d = 2.99 - -0.01. Which is the third smallest value? (a) -5 (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-30))\/(91*(-51)\/(-1190)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/21 (b) 0.4 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/2)\/t**(-7))**(-35\/4))**(1\/3) assuming t is positive.\nAnswer: t**(-455\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j + 2 + 0*j + 7.\nAnswer: 9*j + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 96236437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 296 and 6?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**4\/4 + 11*p**3\/3 + 11*p**2\/2 + 15*p + 1. Let c be a(-10). Solve c*b - 5*r = 20, 0 = 3*b + 4*r + 7 + 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 5. Let i be b(-6). Let a(k) = 3*k**2 - 2*k - 1. Let y be a(i). Solve -3*d = -2*m - 3, -3*d + y*d = -3*m - 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**5)*n\/((n**(2\/9)\/n)\/n) assuming n is positive.\nAnswer: n**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - (11 - 37)) + -2 + (1 - 16)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**4*f*v + 2*d**4*f + d**3*f*v + 7*d**2*f + d**2 + 3*d*f*v + 2*d*v wrt d.\nAnswer: 48*d*f*v + 48*d*f + 6*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, r: 3, s: 1, p: 6}. What is prob of sequence prp?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**2 - 18*b - 6. Let c be o(5). Suppose 0 = 2*w - 8 - 16. Solve 5*z + 17 = c*g, 7*g - 3*g = w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-1 + (-2 - 0)). Suppose -2*l + 0*l + 14 = -k*x, -4*l + 20 = -4*x. Is -5*((-48)\/15)\/l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.9 + 19. Let k = -4.9 - z. Let r = 26 - 23. Sort k, r, 2.\nAnswer: k, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 205 - 184. Let v be 44\/77*s\/6. Let n be 0 - 1 - (-4 + -1). What is the highest common factor of v and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2285146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2. Let u be 48\/20 + (-2)\/5. Let l be r(u). Let v be 4\/14 + (-950)\/(-350). Put -2, l, v in decreasing order.\nAnswer: l, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121136591.\nAnswer: 41, 83, 35597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 6:08 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 4992.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -75*i**3 - i + 438 wrt i.\nAnswer: -225*i**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2617 - 2620. Which is bigger: i or 0.495?\nAnswer: 0.495","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 5*t = -60. Find the first derivative of 20 + 16 - t - 20*f - 17*f wrt f.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s*z**4 + 548*s*z**3 - 129*s*z**2 + 2*s - z**4 + 3*z**3 - 4*z**2 wrt z.\nAnswer: -24*s*z + 3288*s - 24*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -7 + (8 + -4 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/33 (b) -2 (c) 1 (d) -82 (e) -1 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5210, 5193, 5164, 5123, 5070, 5005, 4928?\nAnswer: 4839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-6)\/(-9)*(-9)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1830)\/(-5368)*(-4)\/10\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(-2)*306*2400\/8640\nAnswer: -85\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 12*w + 54. Let d be t(12). Let j be (-10)\/45 - (-5088)\/d. What is the common denominator of j\/4*(1 - 36\/28) and 52\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2358895.\nAnswer: 5, 7, 11, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 16.4. Let r = -1 + z. Let p = 5 - 5. Put p, r, -5 in descending order.\nAnswer: r, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/29)*g\/(g**(-35)\/g)*g assuming g is positive.\nAnswer: g**(1104\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 416514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 126580776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -14. Let h(n) = n**2 - 5*n - 6. Let z be h(6). Let f = 4.01 + -0.01. What is the smallest value in z, c, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 112991.4765 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5358835 millennia in centuries?\nAnswer: 5.358835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 91443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 15*j - 14. Let i(b) = 2*b**2 - 6 - b - b**2 + b - b. Let k be i(4). Is p(k) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/62 - 48\/31. Let b = -41.1 + 41. What is the biggest value in b, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2059800 to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4 = -l - 0, -2*q - 15 = -5*l. Let z = -8.4 + -0.6. Let t = z - -14. What is the closest to 2\/7 in t, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 12*s - 15. Let o be r(-10). Suppose -k = 2*w - 19, -2*w + 15 = o*k - 0. Suppose w*a - 3*a = 2723. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2*c - 24 = 0. Calculate the remainder when ((-20)\/(-8))\/(4\/24) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42200 and 2533055.\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 173.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 16*l - 34. Let t be i(-2). Solve 2*c - 5*x = 23, -3*c - t*x = 2*x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 3 + 6)*(3*i - i + 0*i) - i + i + 2*i - 7*i + 3 - 3)*(-6*i + 4*i + i) in the form n + p*i + g*i**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 479622435.\nAnswer: 479622433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 - 4 - ((-233 - -467) + -218)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 735 + -582. What is the least common multiple of 21 and a?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -0.03, -6547583?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven halves of a meter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 14*i**2 + 3*i + 68. Calculate the remainder when 222 is divided by h(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 2) + (-17 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1\/3 (c) 0.23 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 242*k - 5255. Determine v(-24).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 - -24 - 2*(-6)\/(-4) is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859 = -250*g - 133 - 1508 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 1:22 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 52 = -2*r, -r + 13847 - 13857 = -2*z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05543 + 3.05543. Which is the smallest value? (a) 4 (b) 0.5 (c) 13 (d) v (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 - 107. Solve 0*q + q = w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*b + 14*b + 13*b + 0*b + 2*b**2 + 12*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2 - 972588*o = 0?\nAnswer: -486294, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 6*p**2\/17 + 24770*p\/17 + 2917096\/17 = 0.\nAnswer: -4007, -364\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.943 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 15*f**2 + 3*f + 11. List the prime factors of w(-14).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 3, -221\/4, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 18*u**3 - u**2 - 2*u - 10. What is n(-2)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 19*o - 24718 = -90*o - 28594 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 4 + (-2 - 1) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320790 is divided by 732.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(125) + 4 + 2.\nAnswer: 6 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 439075, 878146, 1317217, 1756288, 2195359?\nAnswer: 2634430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 5*k**2 + 7*k - 30. Let j be r(5). Suppose -305 = -j*i + 20670. Is (i\/(-20))\/(1\/(-8)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121 + 8 - 33)*(-3*k - k + 2*k)*(-k**4 + 2*k**4 - 3*k**4) + k**5 + 2*k**5 - 4*k**5.\nAnswer: -585*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (3 - (1 - 6)) - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44465.\nAnswer: 5, 8893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x = -10*x. Suppose x = -12*b + 2533 - 325. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**4 + 4*o**3 + 121*o**2 - 126*o - 726. Let j(l) = l**3 - l**2 + l + 1. Let a(z) = 6*j(z) + m(z). Factor a(b).\nAnswer: -5*(b - 4)**2*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 4*h - 4*h + (-3*h - h + h)*(-6 - 4 + 3).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -11*c**2. Let r(b) = -431*b. What is r(v(h))?\nAnswer: 4741*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 0 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 8 = -3*v. Let a = -4 - v. Let s = 7 - a. What is the remainder when 27 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29, -16, 21, 94, 215, 396, 649, 986?\n\"Answer: 2*v**3 - v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 43305, 15, 5 in decreasing order.\nAnswer: 43305, 15, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*n + n + 0*n)*(-3 + 3 + 2*n**2) + (2*n**2 - 2*n**2 - 2*n**2)*(-n - 3*n + 2*n) + (2 + 0 - 5)*(-n**3 - 2*n**3 + n**3).\nAnswer: 58*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -6*n. Suppose -4*k + 16 + 4 = n. Which is the nearest to 1\/4? (a) -0.1 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p + 6*p - 48 = 0. Suppose 0 = 4*a - 4*u + u - 2228, -5*u - 1100 = -p*a. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -17. Let i be j\/((-1)\/3*12\/2). Solve -3*d + 25 = 4*q - 0*d, 2*d - 14 = -i*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q*q\/q**(-1))\/q)\/q)**24)**(-45) assuming q is positive.\nAnswer: q**(-2160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -39549730 rounded to the nearest ten thousand?\nAnswer: -39550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116125 and 2375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - -2 - (-2127 - -2201).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.2, 9.12, 2\/7?\nAnswer: 9.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*i + 76*i + 71*i = -23*h - 161, 0 = -5*i + 2*h + 119 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4689, -9340, -13991, -18642?\n\"Answer: -4651*s - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -817 + 3293\/4. Which is bigger: 7 or k?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53690280 divided by -60\nAnswer: 894838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 1122?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*s + 45*s - 14*s + 35*s**2 to the form q*s + d + n*s**2 and give n.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 14*s**2 + 35*s + 11. Let u(b) = 5*b**2 + 12*b + 4. Suppose -29 - 39 = 4*n. Let i(f) = n*u(f) + 6*y(f). What is the units digit of i(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 5*t - 20, 3*a - 5 - 3 = -2*t. Suppose 0*j - 7*j + 28 = a. Let u be -1 - (j - 25) - 0. Calculate the greatest common factor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -734, -809, -884?\n\"Answer: -75*z - 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 6*l**2 + 8*l + 7. Let f be u(-3). Let h = f - 10. Suppose -4*t + 3*v + 179 = 39, -4*v = h. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 27 = -5*j, 3*j = -2*u + 16 - 5. Solve -11 = -2*n - 3*r, j*r + 1 = 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -43. Let w(k) = -k**3 + 3*k**2 - 3*k + 3. Let m be w(d). Suppose -3*g + s + 4*s = -24, 0 = -3*g + 4*s + 21. Is g < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/8520 and 91\/144840?\nAnswer: 144840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 328457*-0.1297\nAnswer: -42600.8729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -41 + (-8 + (9 - 9) - -3).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-8) - 285\/40?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15473*y**3 - 21*y**2 + y - 279.\nAnswer: -92838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9\/4)*q)**(1\/73)\/(q**(1\/19)*q\/(q**(12\/7)\/q)) assuming q is positive.\nAnswer: q**(-13805\/38836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 16 + 35 = 0. Let s(g) = -g**2 - 6*g - 4. Let z be s(-3). Find the second derivative of -11*q**5 - 14*q**5 + z*q + a*q**5 wrt q.\nAnswer: -160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = b + b + 4, 0 = -3*h + b - 19. Let t = h + 11. Suppose l = -x + 7, -2*x = -t*x + 5*l + 61. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 735 and 8967?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -4. What are the prime factors of 24\/2 - (2 + w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1280\/360)\/((-14)\/(-3)). Let o = -2\/21 + b. What is the biggest value in 2, 0.2, -38, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**2 - z + z)*(27 + 28*z + 37 + 18 + 30 - 94) as y*z + n*z**2 + m + u*z**3 and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -814109 from -0.61007.\nAnswer: 814108.38993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*q = -28*q - 45 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96304160 by 2528.\nAnswer: -38095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j = -20*j - 4, -3*p - 2 = 2*j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*j + 39*j - 19*j - 3 - 15*j to g + i*j and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 3014165475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.0898 (b) -15 (c) -1\/7 (d) 1\/6 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1203312 (base 5) to base 12\nAnswer: -10b10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 13*r**2 + 15*r + 21. Let q be u(-14). Suppose -6 = -q*i + 6*i. Calculate the remainder when 17 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 534194 to the nearest 10000.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 151 + -147. Suppose -2*d = -m*u - d + 2175, -2*u + 2*d + 1080 = 0. What are the prime factors of u?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*r + 64, 0*r - 62 = -2*r - i. What is the highest common factor of 330 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(1554\/(-13727)*(2 - 1)\/9). What is the greatest common divisor of 132 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -637 - -640. Let z(w) = w - 1. Let p be z(0). Let n be p + 1 + -3 + c. Solve 8 = -2*g - n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2339 = -6*z + 2315 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/431055 + -44456161\/4741605. Let s = i - -1\/1320. Calculate the common denominator of -19\/8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.1 (c) 2\/9 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 155*m - 10543. Calculate k(68).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 7*l**2 + 6*l + 5. Give j(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-5) - 72\/(-60). Solve -3*k = -13 + r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 61908*r - 319383372.\nAnswer: -3*(r + 10318)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -162, -341, -520?\n\"Answer: -179*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -z - 2*z. Sort z, 4, 5 in ascending order.\nAnswer: z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.9, 5, 1\/3, -0.12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -206 (base 8) to base 14\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**2 - v**2 + 2*v**2)*(-26 - 46*v + 3*v + 54*v) as k*v + j*v**2 + w*v**3 + z and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*k - 33, k + 0*k + 27 = 2*o. Let a be (-2)\/4*(3 - o). Let u(p) = p - 7. Give u(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = -104*r + 61 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(99) + sqrt(1584) + sqrt(1584)*-3)*-2*-3)**2.\nAnswer: 356400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 24*h + 3. Calculate f(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 4*r - 4*z, 2*r = -3*r - 3*z - 156. Let a be ((-12)\/r)\/((-252)\/(-20)). Suppose -2 + 6 = 4*c. Are a and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2117375*p + 2 + 1822*p**2 + 2117375*p as s + t*p + h*p**2 and give h.\nAnswer: 1822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020020002 + -21122122?\nAnswer: 1221120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*c**2 - 9*c + 9*c)*(-3 - 2 + 4)*(0 + 1 + 0 + (-4 + 1 + 2)*(1 + 2 - 5) - 1 + 2 + 0 + 6 - 3 - 4 - 2 + 0 + 0 - 3 + 2 + 3 + (-1 + 3 - 4)*(0 - 2 - 2)).\nAnswer: 176*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from {g: 2, f: 2, r: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(99))**2 + (sqrt(132)*2 - sqrt(132))\/sqrt(12).\nAnswer: -5*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lsslslslsllll. Give prob of sequence ssl.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 3*h + 4. Let d = -16 - -22. Let c be v(d). Let w be (0 - -2)\/(2\/33). What is the highest common divisor of w and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1 + -3 - (-9 + 12))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2) + sqrt(8) + -2 - ((sqrt(162) - (sqrt(162) - -1*sqrt(162)) - sqrt(162)) + sqrt(162) - (sqrt(10)\/sqrt(5) + -1)))*1)**2.\nAnswer: -52*sqrt(2) + 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiknwuukr. What is prob of picking 2 i and 1 k?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b - 2 = 33*b. Suppose 3*u - 4*u = -b. Solve 3*y + 4 = -u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**2 + 3\/4*g + 0 + 1\/4*g**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -203*v**2 + 2*v**3 + 200*v**2 + 124*v + 0*v**3 + 0*v**3 + 3 + 0*v**3 in the form y + d*v**3 + r*v**2 + a*v and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 - 129. Let u = -4 - -6. Let m = u - j. Which is the closest to m? (a) -5\/2 (b) -1 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r + 2 = -5*u, r = -4. Let z(m) be the third derivative of m**4\/24 + m**3\/3 - m**2. Let a be z(u). Put -0.2, a, -4 in descending order.\nAnswer: a, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4\/3 + 7534*z**3\/3 + 15056*z**2 = 0.\nAnswer: -7528, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z - 63983 = -63893. Let u = 0 - 0. Let y(p) = p - 13. Let k be y(12). Which is the closest to 3\/5? (a) k (b) u (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -206*j - 487. Let s be u(-4). What is the nearest to -2\/3 in s, 1\/4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 4. Let h = 7 + -9. Let v(b) be the third derivative of b**4\/24 + b**3\/2 + 4*b**2. What is h*n(g) + 3*v(g)?\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 35716 (b) 2 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/42? (a) -648 (b) -2\/5 (c) -9 (d) 2\/11 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1713 times 0.4\nAnswer: -685.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29523, -31618, -33711, -35802, -37891, -39978, -42063?\n\"Answer: b**2 - 2098*b - 27426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f**3 + 2*f - 4*f**4 + 3*f**4 - 3*f + 3 - f to the form r*f**3 + h*f**4 + a*f + b + m*f**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 10:06 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.3, -0.3, -2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*z - 113 + 191 - 98 to the form l*z + s and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a - 596*a = -19885 - 12019 + 11232 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 193*w + 219*w - 253*w + 165*w. Let t(j) = 4*j**2. Calculate t(z(p)).\nAnswer: 419904*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -15, -39, -65?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-25) + (-64)\/(-10). Suppose -6 = 2*x, -r*p + 24 = -p - 3*x. Solve -q - 2*t - 14 = p*t, 0 = -2*q - 4*t - 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*g - 2*g + q, -3*q = 4*g - 11. Suppose -7 = -g*a - 81. Let o = a + 52. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16971208 and 29058.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/4*(-68)\/(-1938)*-19\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6025 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*j**2 + 0 - 115*j**2 + 0)*(-7*j**2 + 7*j**2 + j**2).\nAnswer: -100*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 13 (b) -5\/2 (c) -4 (d) -2\/67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 927736501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 37515 = -n + 3*j, -5*j + 75026 = 2*n. Let z = n - 54503. What is z rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6440552 rounded to one decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13281 + 365?\nAnswer: 364.86719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/p**(-1\/7))\/p)*p*p**(2\/13))\/(p**4*p**3))\/(p**7\/p**(5\/2))**38 assuming p is positive.\nAnswer: p**(-16015\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-10))\/(-1))\/(12\/10)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*q**2 + 70*q - 90*q**2 - 70*q.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68121 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4 - -4) + 0)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94808753189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568882 (base 10) in base 2?\nAnswer: 101111111000001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 13*n - 3. Let p = -14 + 19. Suppose r - 17 = -5*o, -p*r + o = -4*r - 11. Is c(r) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4873\/9 - -542. What is the common denominator of 34\/5 and m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -6570 (b) -3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1032910 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - sqrt(190)*-1)\/sqrt(10) + -1 + 2*sqrt(304) + -3.\nAnswer: -4 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 160?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2. Let z be v(2). Let b be ((-20)\/(-3))\/(4\/6). Suppose 2*o - z = b. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60849 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z + 96. Let o be p(-13). Suppose 9 = -3*k, 10*k - 1038 = -o*w + 6*k. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 - 280faaf?\nAnswer: -280fac7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/9*(-9)\/(-6). Suppose -14*i = -w*i - 48. Solve -3*v - v = -i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.9 + 0.1. Let d = 13.4 - x. Let l = -3.4 + d. Which is the nearest to -1? (a) -2\/15 (b) -0.05 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l**2 - 8. Let c(z) = 13*z**2 - z + 17. Calculate 3*c(p) + 7*f(p).\nAnswer: -3*p**2 - 3*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -9*j**2 - 701*j + 3740. What is t(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2547.8 + -2548. What is the closest to -948 in 2, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.26 + -0.18. Let v = q + 0.04. What is the smallest value in v, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, 0.4, -2.11, -1\/5, 8 in increasing order.\nAnswer: -2.11, -1\/5, 0.4, 8, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 540152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 230567.58 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q**(-2\/23)*q*q))\/q)**9\/(q**(-18)*q**4\/q) assuming q is positive.\nAnswer: q**(156\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(300) - (sqrt(300) + -5*sqrt(300))) + sqrt(3))**2*6.\nAnswer: -93636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - g. Let i = 8 - 7. Let v be w(i). Suppose a - 25 - 5 = v. Calculate the greatest common factor of 12 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142951532?\nAnswer: 2, 23, 1553821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 919816 and 368.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100001010011 (base 2) to base 4.\nAnswer: -2201103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 137*r + 51. Let l(q) = -69*q - 28. What is 7*l(o) + 4*v(o)?\nAnswer: 65*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/350028 and -133\/180570?\nAnswer: 22751820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10)*(-16)\/(-8)*-2\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vypv when four letters picked without replacement from pyvyyyyvyvvvvyvyyy.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3086 is divided by (-228)\/(-342)*(-9)\/(-2) + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -5 + -4 + -3 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 55.96243m?\nAnswer: 55962.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrejrejrj. Give prob of picking 4 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**4\/24 - 2*r**2 + 14. Let i(b) = -24*b**2. Calculate p(i(a)).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -10*l**2 + 31 - 16*l - 10*l**2 - 9*l**2 - 4*l**2 + 34*l**2. What is r(13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.160985+0\nAnswer: 2.160985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -507 divided by 507?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j**2)\/j*j)**(12\/5)*j**(-8)\/j**(-8))**(2\/23) assuming j is positive.\nAnswer: j**(96\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7832.244 minutes in hours?\nAnswer: 130.5374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85 + 89. Solve u*h = 0, 3*k + h - 12 = -4*h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Suppose 1 = -y, h + g*y - 17 = -4*h. Suppose 28 + 36 = h*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 86076 to the nearest 1000.\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*v = 0, 2*r = 3*r - 4*v + 12. Let y = -26 - -32. What is the remainder when 1\/((-2)\/r) - -12 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4748 greater than or equal to -4748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 480*t + 24804.\nAnswer: -4*(t - 159)*(t + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 9\/2*s**2 - 4\/3*s**3 - 9*s - 3 - 1\/4*s**4. Let v(d) = -3*d**3 - 7*d**2 + 19*d - 19. Let u(c) = 2*v(c) - 5*z(c). What is u(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (7 - (-9 - (1 + 3 + -12)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 21*f + 18 = -19*f, 4*f = q - 27. Solve -j - 4*j + 2*v - q = 0, 0 = 4*j + 4*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 18*o - 45. What is the remainder when 174 is divided by v(10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/2 of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2194 - 2097. Solve l = -22*r + 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p**2 + 17*p - 41. Let q(i) = -6*i**2 + 17*i - 43. Let k(o) = -5*n(o) + 4*q(o). Let l be k(16). What is the greatest common factor of 51 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399347657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + j - 1. Let b(o) = o - 1. Let w(l) = 3*b(l) - 3*d(l). Let f(i) = 5*i. Let r(a) = -36*a. Let q(z) = -15*f(z) - 2*r(z). Give w(q(v)).\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or 22518.3?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3743*h*o*r**3*v**2 + 7440*h*o*r**2*v**2 - 2*h*o*r**2 - 13*h*o*v - 31*h*r**3 + 2*h*r*v**2 wrt r?\nAnswer: 22458*h*o*v**2 - 186*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 2, -2, -87 in decreasing order.\nAnswer: 5, 3, 2, -2, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 119706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 191 = 4*y, y - z + 153 = -2*y. Let i = 73 + y. What is the remainder when 43 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 7:00 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 488 + -456. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 * -1922967\nAnswer: 57689010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1778211399?\nAnswer: 3, 8999, 65867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f. Let t(b) be the second derivative of 0*b**2 + 0 + 0*b**3 + 1\/6*b**4 - 5*b. What is t(r(s))?\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*2\/(-6))\/((-32)\/(-8112)*-26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -k - 42, -k - 5*s = 4*k + 195. Calculate the remainder when -4 + 5 + k\/(-1) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**4\/72 - 59*l**3\/18 - 121*l**2\/4 - 1186*l - 1. Factor i(q).\nAnswer: (q - 121)*(q + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*g*m - 1584805*g - 2*m - 3549133 wrt g?\nAnswer: 15*m - 1584805","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.78602126 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -6*m + 3*m. Let q be (-3)\/4 - -6*(-42)\/(-144) - -31. What is the greatest common divisor of m and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14524 = -5*v + 5*g - 5259, -2*g + 5579 = 3*v. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21310 greater than 21298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*z, 2 = -3*s - 0*z + 4*z. Let p be 14\/(-189)*-3*s. What is j in 0 + 0*j + 2\/9*j**5 - 4\/9*j**4 + p*j**2 - 2\/9*j**3 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 11*l - 33. Let b(y) = 3*y**2 + 23*y + 67. Let c(k) = -3*b(k) - 5*j(k). Calculate the remainder when 190 is divided by c(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3657 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*v = 6*v - 7715, 3*c + 3*v - 4629 = 0. Suppose -2*x + 1023 = -c. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -637 + 640. Solve 8*v = 5*h + 5*v - 18, -h + c*v = -6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -5, 1, -67462, -2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 39 - 12. Let r = 276 - b. Suppose 2*d = 5*d - r. What is the remainder when d is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275265427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + k + 2. Let f be x(0). Let g be ((-68)\/(-4))\/(1 - f). Let o = g + 35. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 2\/15, -0.1, -560.8, -3 in ascending order.\nAnswer: -560.8, -3, -0.1, 2\/19, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*f**3 + 2568408*f - 179165668 wrt f.\nAnswer: 9*f**2 + 2568408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11, 20, 45, 86?\n\"Answer: 8*w**2 - 15*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9334.319 tonnes in micrograms?\nAnswer: 9334319000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37466, 37381, 37296, 37211, 37126, 37041?\nAnswer: 36956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -86 or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + g + 2526 = 10530, -5*q - 4*g + 13333 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (2\/4)\/1. Let k = -1753\/13 + 135. Let x = -259\/3 - -87. Which is the nearest to x? (a) 5 (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9013811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p. Let z be 5\/50*(-20)\/(-6)*3. Let n(d) = -d - 2*d**2 - d**2 + 4*d**2. Let m(f) = z*q(f) + 2*n(f). Let c(y) = 10*y**2. Give c(m(h)).\nAnswer: 40*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -12. What is the tens digit of (-810)\/(-40) + j\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-4) + (-10 - (-1553240)\/32).\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28098 - 28098 + 4*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p + 2*r - 22, 7 = 2*p - r. Solve 0*c - 4 = -2*c - p*x, 2*c = 4*x - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 - (-1 - (-2 - 2)). Calculate the common denominator of -57\/10 and (714\/48)\/(l\/(-2)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2543679 and 770734737.\nAnswer: 770734737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w = 4*v + 15, -2*w + 35 = -5*v. Factor -1 - 5*z + 3 + 6*z**2 - 5*z + 10*z**4 - 20*z**3 + 14*z**2 - 2*z**w.\nAnswer: -2*(z - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/1583?\nAnswer: 1\/1583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 41314486 to the nearest 1000000.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 8 = -4*s. Suppose -2*r = -4*n + 34, 4*r - 28 = -2*n - s*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*m**5\/2 + 240*m**4 + 1026*m**3 - 483*m**2 - 2079*m\/2 + 243 = 0. Calculate m.\nAnswer: -9, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d + 72 = 3*s, -3*s + 5*d = -78. Let r = s + -20. Suppose -5*x + 3*t + 12050 = -2*t, 0 = t - r. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -4761.\nAnswer: -2\/4761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 277*i + 2503. Let l be d(-9). What is the greatest common factor of l and 2285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 8500*z**2 - 280503*z + 66. Calculate n(33).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqnsqqy. What is prob of picking 1 n and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6808 + 1096 = -48*s. Calculate the greatest common divisor of 273 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 - 7*k**2 - 6*k + 8. Let u(o) = -3*o**3 - 8*o**2 - 6*o + 9. Let a(w) = 4*t(w) - 3*u(w). List the prime factors of a(6).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/2 + (-8)\/16. Suppose -i - 3*i + 33 = 3*q, 4*i - 27 = -q. Let w = 2 - i. Is w smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, -9, -88, -215, -396, -637?\nAnswer: -944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 141034033 (base 5) to base 14\nAnswer: 14ab43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from urrrrurrrrurrr.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -137022 greater than -137023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124687 is divided by 591.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1064)\/(-44) + (-2)\/11. Let h be 162\/(-8)*(8 - 12). Suppose -3*d - h = -x, -173 = -2*x + 3*d - 20. Calculate the greatest common divisor of s and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 754 and 70889.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11971 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: Is 1989936 a multiple of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23 - b73b?\nAnswer: -b718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70*f*g**3 - f*g - 229861*f - 3*g**3 - 5*g**2 with respect to g.\nAnswer: 210*f*g**2 - f - 9*g**2 - 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41647, 41645, 41643, 41641, 41639?\n\"Answer: -2*q + 41649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = l - 14, 2*l + s = -0*s + 8. Let h = 605 + -600. Which is greater: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -55*x + 2. What are the prime factors of t(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.14339 - 19.14383. Let r = l + 17. Round r to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51855 to the nearest one thousand.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23579, 2.949, -4 in increasing order.\nAnswer: -23579, -4, 2.949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y. Let k(q) = q. Let h(w) = -2*k(w) + 3*s(w). Let g(l) = l + 2. Let v(x) = -2*x - 5. Let c(f) = 5*g(f) + 2*v(f). Determine c(h(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*k + 11, 0 = -k - 2*w - 3*w + 9. Let u be 3\/(-4)*(32\/(-37))\/k. Is -1 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15150*v**2 + 15146*v**2 - 194*v**3 + 193*v**3.\nAnswer: -v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -875\/403442?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpcpccp. What is prob of sequence ccpp?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (0 - ((-1 - -1) + -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + 0.8. Suppose -5*p - h - 40 = 0, -p + 62*h - 60*h - 8 = 0. Which is the second smallest value? (a) 0.4 (b) p (c) k (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 + -1?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -9*v**2 - 566*v + 717. What is the remainder when 304 is divided by p(-64)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15798 at least as big as 15800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 283 and 5377.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - -1*sqrt(209))*3)\/sqrt(11) - ((sqrt(114)\/sqrt(24))**2 + sqrt(76)*2).\nAnswer: -19\/4 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -13. Suppose -g = c - 17. Suppose 4*x = -2*j + 16, -2*x + g = x. Solve -k - 3*k - 8 = j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 249 - 219 = 0. Let j = -57 + x. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 14*g**2 - 17*g + 20. Let l(y) = y + 6. Let h be l(9). Let z be q(h). Let s = z + 12. What is the highest common factor of 10 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 157*k - 231*k + 2072 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 179290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.473552ml to litres.\nAnswer: 0.002473552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Let z(h) = h**2 - 6*h - 2. Let p be z(5). Let x be 1\/(-3) + p\/(-15). What is the second biggest value in x, m, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, -5, 17?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 + 181 + 52 - 8 + 3*x**2.\nAnswer: -2*x**2 + 225","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*g + s = -306*g - 10, 23*s + 22 = 3*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(45\/(-12)))\/(91\/65)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3956732 and 32?\nAnswer: 31653856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = 3. Let a(h) = h**3 + 9*h**2 + 4. Let t be a(-9). Solve 1 = -3*n - t*m, -n + l*n + 7 = 2*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 78\/126 + (-4)\/12. Factor -1\/7*l**2 + 0 + 2\/7*l**3 + 1\/7*l**4 - f*l.\nAnswer: l*(l - 1)*(l + 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 12*u**3 + 12247352*u**2 + 8164896*u = 0.\nAnswer: -1020612, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 357 - 324. Let t(s) = 98*s + 109. Is t(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -1.8. Let p be 1\/(12\/(-18))*(-8)\/3. What is the second smallest value in b, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.21 - -0.51. Let t = -0.30034 + k. Round t to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (564374\/(-4))\/((-1)\/(-2)). Let z be (-14720646)\/(-18) - (-3 + (-22)\/(-6)). Let g = t - z. What is g rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653 is divided by 173.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12064 and 3319108?\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*m + 20 = -4*z, 5*m - 2*z + 46 = 0. Let j be (-6)\/m + (-2135)\/(-28). Calculate the greatest common divisor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 2*d**2 - 2*d + 2. Let o be x(-3). Suppose 0 = 2*h + 5 + 1. Let m be 1\/h + o\/(-3). Solve 0*v + v = 0, -2*z - 3*v = m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36\/31 in -3, -2\/9, 5, -16, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/5 (b) 146\/5 (c) -1\/4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 7*r + 1. Suppose 4 = 2*s - 8. List the prime factors of i(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 345 + 168. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -86*u**2 + 73*u - 34491?\nAnswer: -172*u + 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = 33*h - 258 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4.3 - 435\nAnswer: -439.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 = -3. Let q(i) = -6*i**2 + i - 3. Let k(t) = -5*t**2 - 2. Let b(v) = l*q(v) - 3*k(v). What is the second derivative of b(j) wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 5. Let g be (-15)\/45 + ((-4)\/(-3) - -1). Let x(k) = 0*k - p*k + g*k. Let y(a) = -4*a + 1. What is -10*x(i) + 2*y(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 - 183*p**2 + 12*p**2)*(p - 1 + 1)*(-2*p - 2*p + p).\nAnswer: 498*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -930\/389?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082 (base 16) in base 13?\nAnswer: 1c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from omommoooooomlo?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 + (-3)\/(-3). Suppose 0*g - 11 = -g + 2*h, -2*h = -l*g + 12. Let z be ((-1)\/(g + 0))\/7. What is the nearest to 0.1 in -5, -0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(440)*4)\/((sqrt(1440) + -3*sqrt(1440) - sqrt(10)) + sqrt(10)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3556613.8 + 0.2.\nAnswer: 3556614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -b9802 (base 14) in base 5?\nAnswer: -103330332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**3 - 9*w**2 - w - 8. Let r be k(-4). Calculate the greatest common factor of 55 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 82 = 12*t - 5*j, 3*j = 15. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 5) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3379 - 75?\nAnswer: -75.3379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsm when three letters picked without replacement from {g: 1, y: 1, q: 1, s: 1, m: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 61\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 233186 > 235970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 14. Suppose 2*v + x*v = 0. Solve -3*z + v*z = 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 59*z**2 + 9*z - 93. Let b(f) = 29*f**2 + 4*f - 46. Let t(o) = -9*b(o) + 4*i(o). Find the first derivative of t(c) wrt c.\nAnswer: -50*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13794 = -4*m + b, -2*m + 5*m + 4*b = 10355. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3397 divided by -6?\nAnswer: 3397\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -2 + -2)*244\/3050.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 586516964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*(-16)\/72 + (-16)\/6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308417492?\nAnswer: 2, 131, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 6:19 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1427988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000072 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2500828?\nAnswer: 2, 11, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -20698\nAnswer: 5\/20698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/4*2*4\/84.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.2 and -0.33.\nAnswer: -1.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2871 and 783?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-4)*2)\/((-42)\/(-24 + 3))*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 167 = -157. Does 47 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 - 315*b**3 - 4800*b**2 + 5120*b.\nAnswer: -5*b*(b - 1)*(b + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 11*z - 8. Let u be r(13). Calculate the greatest common factor of u and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.008*-21\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -3\/4, -1.8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20\/(-3))\/5)\/((-1923)\/11538)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257, 273, 293, 317, 345?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22303794*j**3*n**2 + 1414*j**2*n**2 - 7864*j*n**2 wrt j.\nAnswer: 133822764*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -78*h**3 - 1790*h**2 - 1624*h + 88 = 0.\nAnswer: -22, -1, 2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 14\/3 (b) -4\/3 (c) 0.2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 815 + -448. Let n = q + -206. What are the prime factors of n?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85372544 rounded to the nearest 10000?\nAnswer: 85370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/10*(-15)\/(-4 - 325\/(-70))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3463052?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2*(-4)\/(-6). Let f(d) = d**3 + 33*d**2 + 350*d + 1252. Let w be f(-16). Sort o, -2\/63, 0.3, w in decreasing order.\nAnswer: w, 0.3, -2\/63, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 261, 599, 943, 1293, 1649, 2011?\nAnswer: 2379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123131132 (base 4) in base 11?\nAnswer: 236506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -796 + 796.00569. Round u to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-517)\/(-165) - 3) + (7 - (-10615)\/(-1425))\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -12*v + 6*v. Calculate the remainder when (4 + (-14)\/v)\/(3\/(-207)) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/5, -2, -0.3 in decreasing order.\nAnswer: 1\/5, 0, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -506.72 - 1.\nAnswer: -507.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 - 248*i - 2205. Give q(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/((-3)\/1))\/(14\/(-70))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9, 1, 2, 0.5, -0.6, 13652?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45.9 + 48. Let l = 2 - p. Let v be 2\/9 - 44\/36. Which is the nearest to v? (a) l (b) -0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 780 + -779.98084. What is h rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 + -60. Suppose 426 = 4*s + 2*d, j*s - 528 = s - d. Is 21 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 2)*27 + (-36)\/18. Let p = 57 - z. Suppose 5*y - 15 = -c - 3, 89 = 5*c - 4*y. Solve -4*g + c = p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2047 - 795 = -203*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**2. Let z(k) = 3*k - 8. Calculate z(t(u)).\nAnswer: 12*u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -154. Let p be (h - -6)\/(1 - 0). Suppose 0 = 4*c + c - p. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -18) + (24 - 12) - 10 - (3 + -6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g = 0, -g = 2*a - 58. Suppose -21*w + 17*w = -5*d - 57, 0 = -2*w - d + 11. Calculate the remainder when a is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 17.35\nAnswer: -1.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (17 - -9) + -26 + (2 - -65 - 0)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 8*x - 15. Suppose a + 8 = -b, -2*b - 5*a + 4 = -b. Suppose -1547 = 677*g - 4255. Let p(u) = 3*u - 5. Calculate b*p(l) + g*n(l).\nAnswer: -l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5331442 (base 6) to base 15\nAnswer: -52472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 286 + 11.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26873469.\nAnswer: 3, 7, 426563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*d**2 - 136*d - 134*d + 413*d - 137*d to o*d + a*d**2 + n and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2282 + 1994. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 1. Let a(z) = 1. Let o(k) = 2*k - 4. Let p = 14 + -8. Let g(u) = p*a(u) + o(u). Calculate 6*b(t) + 2*g(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 7*10\/70\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -7)*-1 + (138 + -64 - 92).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25586453699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**4\/4 - o**3 - o**2 - 3*o + 8. Let y be m(-3). Solve -5*g + y + 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -1. Let h(u) = -10*u + 12. Determine h(d) + 12*l(d).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (115\/4)\/((-1)\/(-4)). Suppose 115 + o = 10*k. Calculate the remainder when 90 is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -17. Let x(z) = -2*z**2. Let w(o) = o**2. Let s(v) = j*w(v) + x(v). Let k(b) = -298 + b + 298. Determine s(k(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 54.46638 to 0 decimal places.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 56*t - 751. Let x be k(34). Sort 2, 10, 6, x, -1 in increasing order.\nAnswer: x, -1, 2, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 5*a**2 - 16. Let m be y(3). Solve -2*g - 2 - m = -3*p, -5*p - 5*g + 40 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 125, 247, 479, 857, 1417?\nAnswer: 2195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s - 9*s - 8*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 - (4 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17626528*0.2\nAnswer: 3525305.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100\/7597 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 7*i**3 + i + 2*i**3 - 1 + 1 - 4*i**3 + 0*i**3 + i**3 - 7*i**3 + 3*i**3 + 3*i**3 + (i**2 - 2*i**2 + 0*i**2)*(i - 2 + 2).\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-9 + (-5 - (-3 - 4))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, k: 2, e: 1, h: 4, p: 2}. What is prob of picking 1 i and 2 h?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)*j)\/j)**(-25) assuming j is positive.\nAnswer: j**175","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1010.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/10 + 268\/310. Let a = 145 + -300. Let u = a - -154. Which is greater: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15298, -31560, -47824, -64090, -80358, -96628, -112900?\nAnswer: -129174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2733.342ml in litres?\nAnswer: 2.733342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 2)*(-3*i + i + 5*i) - 9 + 9 + 2*i to the form k + f*i and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 10319024.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**2 + 4*b - 4. Let i be l(1). Let g(m) = m + 1. Let n be g(-6). Sort i, n, 0 in decreasing order.\nAnswer: 0, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 5*r**2 - 6*r + 7. Let m be q(-6). Let b(s) = 2*s**2 + 18*s + 31. Let l be b(-7). Solve 5 = l*i - m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + -5 + 4 + sqrt(112) + (sqrt(112) + 1)*2 + -5 + (sqrt(112) - (-5 + sqrt(112))) + sqrt(112))**2.\nAnswer: 256*sqrt(7) + 1856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 3*h - 4*n, h + n + n - 45 = 0. Suppose 0 = -3*q + 101 - 260. Let k = -40 - q. Calculate the remainder when h is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 451502 by -4.\nAnswer: -225751\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) 13 (c) -2 (d) 38\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 2, 3, 0.5, -1339?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 280*a**3 + 1864.\nAnswer: 840*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 1. Let k(z) = -3*z + 3. Let v(u) = -5*h(u) - 2*k(u). Let o be v(-4). What is the closest to 2 in -1, o, -5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-8\/3)\/w**(-1))**(-27))**29 assuming w is positive.\nAnswer: w**1305","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(66) + sqrt(66)*-1 - sqrt(66)) + sqrt(66)) - sqrt(66))\/(sqrt(750)\/sqrt(5))*-3.\nAnswer: 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 53 = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27508 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one fifths of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1305, -7326, -18065, -33522, -53697, -78590, -108201?\n\"Answer: -2359*y**2 + 1056*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*g + g = 576 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -87*s - 343. Let l be n(-4). Solve -4*g - 5 = i, -l*i = -g - 4*g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -8. Suppose 8*u = l*u + 220. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1958 and 16376.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 - 171 = 94*u + 358 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12423749\/8 or -1552970?\nAnswer: -12423749\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 2*a - 14. Determine k(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*o + 3*d, 2 = -3*o - 3*d - d. Suppose -4*u - o*a + 90 = 0, 4*u - 73 - 20 = a. Solve -5 + u = 6*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 18*h**2 - 17*h + 2. Let c be p(17). Solve 4*z = -4*x + 8, -c*x = -2*z - 0*x - 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 9. Let p(l) = -2*l - 3. Let t be p(0). Let k be o(t). Solve -3*b - 1 - 8 = k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 454.322 to the nearest integer.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 - u**4 - 3*u**4)*(4 - 4 + 7*u) - u**5 + 3*u**5 + u**5 + (-5 + 3 + 5)*(0*u**2 + 0*u**2 + u**5).\nAnswer: -8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -2\/21, 2\/13, -1762, 0.01?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/1 + 372)*1 + 4. Let z be (3 - y\/(-14)) + 3\/6. What is the highest common factor of z and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(3264)*-2*-4)\/(-5*sqrt(12) - sqrt(12)\/sqrt(36)).\nAnswer: 960*sqrt(17)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 58*-157687\nAnswer: -9145846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1.5. Let k = o - -11.5. Let m = k + -18. Which is the closest to 0? (a) 5 (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/3 - (-2)\/3. Suppose h - 28 = -a*n - 3*n, -h + 13 = 2*n. What is the highest common divisor of 15 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 922771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 174 - 152. Let c = -2\/411 - -3061\/274. Find the common denominator of (-74)\/q*(-1)\/(-2) and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/8)\/((-546)\/208)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -101*-175\nAnswer: 17675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -7*p**3\/3 - p. Let o(j) = j + 477159436*j**2 - j - 477159448*j**2. Give q(o(y)).\nAnswer: 168*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-48)\/4)\/(-2) - 4. Solve 4*a = -5*c + 36, -g*c - 2*a = -18 + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18089.\nAnswer: 18089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175*f**4 + 3 + 1437*f**3 + 4 + 1059*f**3 + 3*f**2 - 9 - 177*f**4 to o*f**3 + j*f**2 + v*f + t + q*f**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29918 is divided by 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -b + 15. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/160284 and -139\/444.\nAnswer: 160284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92061425221\/64 + 1438488505. Let n = s - 28737. Find the common denominator of n and 55\/48.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(2\/153))**38\/((f\/f**1)**(-4\/19)\/(f\/f**(2\/3)*f\/(f*f\/(f*(((f\/f**1*f)\/f)\/f)\/f)))) assuming f is positive.\nAnswer: f**(-331\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22144 + -355?\nAnswer: -22532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-462)\/(-90))\/((-2)\/10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k**2 - k - 2. Let r(b) = -13*b**2 - 2*b - 9. Let t(v) = 13*v**2 + 2*v + 7. Let x(j) = 2*r(j) + 3*t(j). Let f(q) = -4*x(q) - 7*z(q). Give f(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116922 divided by -2.\nAnswer: 58461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -173 from 0.2887.\nAnswer: 173.2887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 87 = -d + 5*s, -3*s + 6 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -28 - (3 - 2\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(3)*-5 + sqrt(2) + sqrt(6)\/(-3*sqrt(3)))**2.\nAnswer: 338\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 5. Let q be y(-5). Solve 2*b = 7*b + q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047753857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 + a**2 + 3*a + 36. Calculate w(-4).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*q - 90 = 0, -3*q = -3*t - 8*q - 78. Suppose -5*j + 128 + 152 = 0. Let s = j - t. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**2. Let k(h) = -4*h + 14. Let r(s) = -13149*s + 47726. Let z(c) = -6818*k(c) + 2*r(c). Calculate z(j(w)).\nAnswer: 3896*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124 + -75. Suppose -v - z = -8*v. Suppose 6*q = v*q - 481. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/11, 12.2, -2\/9, -1, -0.6?\nAnswer: 12.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 60 + (32 - (46 + -38) - (-1 + 14))\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3825, 3824, 3823, 3822, 3821?\nAnswer: 3820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 43. Calculate the remainder when 15 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/140 - (-12)\/21. Put 5, 1, b in descending order.\nAnswer: 5, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 4:46 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005839286968 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -40 and -68.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 8\/7, 0.4, -1\/4 in decreasing order.\nAnswer: 8\/7, 0.4, -2\/13, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*m - 11586 + 31469, -2*v + 39721 = -m. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -553\/5 + 111. What is the second smallest value in x, 2\/23, 0?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 166 - 3816\/23. Which is the closest to -1? (a) x (b) 0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -346486?\nAnswer: -1\/346486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8721546 to the nearest integer?\nAnswer: 2953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11974*k - 143674. Give x(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/47823342 and 105\/76?\nAnswer: 95646684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6083 - -6082.8. Is g <= -243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*x + 14*x + 18*x + 108 - 108 + 12*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 89809051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/55, 3, 275 in increasing order.\nAnswer: 3\/55, 3, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6300)*-2)\/(sqrt(72)\/(sqrt(8)*-1 + sqrt(8) + sqrt(8))*-2) + -5.\nAnswer: -10*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, 12, 59, 6.\nAnswer: 6, 12, 59, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15 - 6) + 9 + 31. Solve 0 = 4*b + 5*n - q, 16 = 2*b - b + 5*n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 66*m + 2*m**4 - 191*m + 60 + 65*m**2 + 3*m**3 - 7*m**4 + 2*m**3 = 0.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/12 + 25*u**2\/3 - 3251*u\/12 + 525\/2.\nAnswer: (u - 25)*(u - 1)*(u + 126)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 939?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-14)\/(-13761))\/1)\/((-4)\/(-89124)). Let z = p + -2\/1529. Let h = 16\/67 - 2109\/134. Find the common denominator of z and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1991 + -1988. Which is the second biggest value? (a) -3\/2 (b) -1\/6 (c) l (d) -0.0043\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/27 in -58, 1, -458\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from {a: 2, t: 1, m: 6, w: 5, j: 1, f: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g = -15*g + 84 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1262\/22361 - 30\/379. Which is bigger: 0.2 or c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 786, -111, -1\/4, -3, -2\/9, -0.1, -3\/7?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 14797 - 14842 = -10*q. Let f be 2\/(-5) - (-48)\/20. Let k(a) = 2*a - 2 + a**3 - 5*a**f - a + 1. Calculate k(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = 0, 4*w - 19 = -5*b + 8. Suppose -22*t = -28*t + 12. What is the derivative of -b - t*j**2 + 1 + 5 wrt j?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**3 - 18*c - 9*c + 6*c**3 - c + 4*c in the form a + w*c + t*c**2 + l*c**3 and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus -1144703.206?\nAnswer: 1144703.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-69)\/736)\/((-1)\/(-4)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 50. Let a = 2 - k. Calculate the lowest common multiple of 16 and (a\/10)\/(-2 + 69\/30).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*o**3\/5 - 89651148*o**2\/5 - 334888680738246*o\/5 = 0. Calculate o.\nAnswer: -7470929, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.2 (b) 5550 (c) 0.2 (d) -4 (e) 1 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 2*v**2 - 4*v + 2. Let j(a) = -a**3 - a**2 + a + 5. Let w be j(0). Suppose w*d = 9 + 1. Let f be h(d). Solve -g = g - f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -13. Let g = -6 - k. What is the derivative of -x**g + 11*x**3 - 11*x**3 + 1 wrt x?\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f**(-3)\/f)\/f))**(12\/13)\/(f*f\/(f*f**(-2\/27)*f)*f**(10\/11)*f))**2 assuming f is positive.\nAnswer: f**(27454\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -14*f**3 + 2 + 35*f**3 - 20*f**3 - 11*f + 10*f**2. Is 16 a factor of a(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 11*u**2 + 10*u - 10. Let l be w(-10). Let x be (-2)\/(-8) + (-1)\/4. Is ((-134)\/l + x)*5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231922 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zckcukd. Give prob of picking 1 z, 1 k, and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(425) + 0) + 2)**2.\nAnswer: -120*sqrt(17) + 15304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 2*t**2 + 2*t + 641. Is b(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/336*4*12\/(-9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f. Let x(i) be the second derivative of -5\/6*i**3 + 0 + 0*i**2 - 2*i. Give s(x(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + -100?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 190. Calculate o(-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -136 + 82. Let i = s + 54.000048. What is i rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 1 + (1 - 3 + 3)*(0 - 3 + 4) + 11 - 5 + 1)*(1 - 4 + 4)*(q**2 + 7*q - 7*q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.55348 - 5.63025. Let k = 0.07765 + c. Let n = -4 - k. What is n rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230.5 * -0.793\nAnswer: 182.7865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**4 - 2*r**4 - r**4 + (8*r - 5*r - 24*r)*(18*r**3 - 3*r - 35*r**3 + 20*r**3 + 3*r**2).\nAnswer: -62*r**4 - 63*r**3 + 63*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 8. Let j be y(20). Does 20 divide (-776)\/(-6) - j\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.24 and 220.31147?\nAnswer: -52.8747528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 643470914, 1286941826, 1930412738, 2573883650, 3217354562?\n\"Answer: 643470912*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 55*z**2 + 656*z + 16. What are the prime factors of x(-15)?\nAnswer: 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -924 + 2766 - 924 - 929 - 5*n + 114*n**2. Let d(o) = -23*o**2 + o + 2. Calculate 2*a(t) + 11*d(t).\nAnswer: -25*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (2 + 2)\/1. Suppose g = 4*o - c + 3*c, -c = -o - 1. List the prime factors of o\/(-4) - 692\/(-16).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -25*s - 15. Let y(z) = 13*z + 8. Calculate 6*m(w) + 11*y(w).\nAnswer: -7*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6848144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3))**(4\/11)*((i*i**5)\/i*i)\/(i\/(i\/i**(1\/4))) assuming i is positive.\nAnswer: i**(727\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8 + 1 + 3*p - 11*p + 39*p**2 - p**2. Is k(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - (2 + -11))*(-46)\/(-2). Suppose l = -3*s + 16, d*s - 36 = 18*s - 4*l. Solve 2*r - h = -s*h - 16, 5*h + 18 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 9001031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 6*z - 9*z)*(-2*z + z**3 + 2*z) + z**4 + 0*z**4 - 2*z**4 + (3*z - 4*z + 2*z)*(2*z + 2*z**3 + 0*z - 3*z**3) + z**2 + 5*z**4 - z**2.\nAnswer: -9*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 9 = -5*c, 3*c + 0*u - 4*u + 3 = 0. Solve 5 = -c*d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 divided by 124528?\nAnswer: -177\/124528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 2:49 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -19.\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79771.\nAnswer: 241, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5200*t**3 + t**2 + 4172 with respect to t.\nAnswer: -15600*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h = -16. Let l be (-1)\/(-2)*(h + 8). Let f = 5 + l. Calculate the lowest common multiple of f and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3256.995 months to years.\nAnswer: 271.41625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 107 = -207. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - 3 - -18) + -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -153541423 rounded to the nearest one million?\nAnswer: -154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*v + 1879 + 1131 = -2160 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 98301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3964, 7984, 12004, 16024, 20044, 24064?\n\"Answer: 4020*b - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 11*x**2 + 10*x + 5. Let t be h(10). Calculate the common denominator of (-2)\/9 - 19\/(-126) and (-226)\/60 - 2\/t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 7*i - 680. What is the units digit of (i\/(-85))\/((-1)\/225)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p + 290550 = 5*j, 5*p = -j + 58114. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16283, -33321, -50359, -67397, -84435, -101473?\nAnswer: -118511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -494 equal to -496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from kietkktikkkkkiek?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2330 and 257232.\nAnswer: 1286160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3 + (-325)\/(-39). Let q(c) = -c**3 + 8*c**2 + 10*c - 12. Calculate q(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 657.2398l to millilitres.\nAnswer: 657239.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -903463 or -903461?\nAnswer: -903461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g = -435 + 87. Let o(f) = f**3 - 10*f**2 - 22*f - 25. Let d be o(g). Put 16, 0, 2, d in ascending order.\nAnswer: d, 0, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - o - 2 - 1 - 7, 18*a - 39*a + 490 = -11*o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53541706?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -6. Let d be i + (-1739998)\/(-2) - 0. What is d rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/56 of a week in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 7 - 9 = 0. Let s(g) be the third derivative of 55*g**4\/24 + 6*g**2. Is s(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1438069010?\nAnswer: 2, 5, 7, 37, 233, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2159*o**2 - 3*o - 5. Let y be d(-4). Let k(w) = w**3 + 9*w**2 - 22751. Let s be k(0). Let f = y + s. Round f to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**2 + w - 5. Let o(a) = a**2 + 1. Let g(p) = m(p) + 6*o(p). Let y(u) be the first derivative of g(u). Differentiate y(z) with respect to z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111111 + -10?\nAnswer: 1111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10826134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 56*c**3 + c**2 - c - 2. What is f(-1)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12163, -0.2, -2\/11 in ascending order.\nAnswer: -0.2, -2\/11, 12163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t**5 + 78*t**4 + 169*t**3 + 50*t**2 - 3. Let b(n) = 5*n**5 + 78*n**4 + 167*n**3 + 50*n**2 - 4. Let j(z) = -3*b(z) + 4*i(z). Solve j(w) = 0 for w.\nAnswer: -5, -10\/3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -1, 18, 45?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1384 + k - 1384. Let s(t) = -3 + 5 - 3*t - 2. What is z(s(g))?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/(187\/19) + (32\/(-68))\/4. What is the closest to 24 in -1\/6, k, -1, 3\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9 - -4338.\nAnswer: 4337.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-400)\/840 + (-3)\/(-7))*70\/30.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3798874 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*o = 5, 2847950 = 3*o + 2847959 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30458241 and 9801?\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k + 10. Give l(10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8524187 and 2009?\nAnswer: 2009","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 4, w: 7, x: 3, d: 3}. Give prob of sequence axl.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/210247128 and -163\/294?\nAnswer: 1471729896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43.053 + 0.053. Let d = 43.2 + z. Let g = 8 - 6. Which is the third biggest value? (a) 3 (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.65 - 9. Let b = n + 21.35. Let k = -21.00036 + b. What is k rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -263*t - 8713. What is g(-12)?\nAnswer: -5557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1025 - 379 = -36*o. Solve -20*k + o = -21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1701*c + 1699*c = -4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3240 and 21116052?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -254341 (base 6) in base 10?\nAnswer: -23029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 63*t**2 + 232*t - 12. Determine p(-4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 3, -3\/2, -2 in descending order.\nAnswer: 40, 3, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*m = -188830064, 3*s = -m + 3*m + 141622558. Let l = 707518 - s. Round l to the nearest 1000000.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -1732*u + 50193. What is t(29)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 4:51 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 7:54 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1299, -1295, -1291, -1287, -1283, -1279?\nAnswer: -1275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 - -59. Let m = a - -39. Is 11 a factor of m\/15 - (-1141)\/105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*1*((1*(sqrt(833) + -4)*-5)**2 + -3)*2.\nAnswer: -169771 + 11200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**4\/7 + 2337*y**3\/7 + 21234*y**2\/7 + 33168*y\/7 - 56736\/7 = 0.\nAnswer: -6, -4, 1, 788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 382953394 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-22848)\/(-671616) - (-58)\/(-3828)\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 18 = f, -8 - 5 = -k - 4*f. Suppose 2*i = 1 + k. What is the tens digit of 3 - (i - -16)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 38*r - 31. What are the prime factors of l(7)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - 2*i**3 + 3*i**3 - 3*i**2 - 45*i.\nAnswer: i**3 - 45*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, 0, 298.9, 454 in increasing order.\nAnswer: -5, 0, 0.1, 298.9, 454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578136?\nAnswer: 2, 3, 13, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-580))\/((-34)\/(-8160)*64).\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l. Let i(m) = 9*m + 8. Calculate s(i(j)).\nAnswer: -18*j - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -12*h + 11*h - 745, -5*h = 4*n + 986. Let s = 305 + n. Calculate the remainder when 198 is divided by s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31081.\nAnswer: 31081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-12) - 1)*-4. Suppose 0 = -5*r + f + 13. Determine v, given that 4*v**3 - 3*v**4 - 3*v**3 + 4*v**r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -13*d**2 - 6*d - 25. Let j(o) = 12*o**2 + 5*o + 26. Let x(m) = -5*g(m) - 6*j(m). What is the derivative of x(u) wrt u?\nAnswer: -14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/5)\/(1\/5). Let p = w + -5. Let t = p + 3. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 1)*(-102*w**2 + 91*w**2 + 42*w**2).\nAnswer: 93*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, z: 1, b: 2, v: 1, o: 1}. What is prob of sequence obcz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 135982755 to the power of 1\/3, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 3*g - k = 101, 5*g + 4*k + 159 = 0. Suppose -4*s + 100 = -52. Let l = s + g. Solve 0*a = l*a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c - 8. Let q(l) = -2*l + 3. Let o(i) = 8*q(i) + 3*v(i). Let n(m) be the third derivative of m**4\/24 - 4*m**2. Calculate n(o(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 638 and 5252654?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-24))\/(12\/81)*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86483 and 29747.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 7940175900 to the nearest 1000000.\nAnswer: 7940000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -40512?\nAnswer: -40506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4394767 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(72)\/sqrt(4) + sqrt(18) - sqrt(18))\/sqrt(6))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -98 (c) 0.5 (d) -7 (e) -0.83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -35, -58, -9, 160, 497, 1050, 1867?\n\"Answer: 8*j**3 - 12*j**2 - 43*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 6)*((2*d**2 + d**2 - 2*d**2)*(0 + 9 - 3) - d**2 + 4*d**2 - 5*d**2).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 739 + -1126. Let u = n - -386.9999165. Round u to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 + 2 + 0*u**3 - 1 - u**3 - 3 + u. What is the remainder when 35 is divided by n(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 398*z**2 - 5431*z + 1138. Calculate n(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 510 + 517 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -83, -1, -779, -64?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143 - -439\/3. Let v = -11\/3 + s. Which is the third biggest value? (a) v (b) 2 (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109732322 is divided by 10715.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 - 14*z + 18. Let r(v) be the first derivative of -8*v**3\/3 + 41*v**2\/2 - 53*v - 34. Let x(c) = 11*n(c) + 4*r(c). What is x(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 48255308\nAnswer: -1\/48255308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13753658.\nAnswer: 2, 6876829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9935*c - 10104*c + 13351 = 0 for c.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56616 != 56605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 12, 3, 111502 in descending order.\nAnswer: 111502, 12, 3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*j = -294*j - 4599 - 12532 for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -254655 (base 7) to base 15\nAnswer: -e050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3525?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 12 + 87. Suppose -h*p = -10*p - 73. List the prime factors of p.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 6 = -2*r - 3*r, -r = -4*d + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h**3 - h**2 - 26*h + 1. Is w(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.7760838 and -9?\nAnswer: -24.9847542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2959 and -4766.\nAnswer: 14102594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b8cb9 + -2a?\nAnswer: -b8d05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(234\/(-336))*6615\/2520\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95943*a - 296*a**2 + 523345*a + 295*a**2.\nAnswer: -a**2 + 619288*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 145731287 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124730, -249691, -374654, -499619?\nAnswer: -624586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from cizmttcmttztztittvv?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 602540316 and 5420.\nAnswer: 3012701580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/2 - 87*d**2\/2 - 1487*d\/2 + 1575\/2 = 0.\nAnswer: -63, -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 13. Let j(m) = m. Give 4*j(k) - w(k).\nAnswer: 3*k + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -205.15 + 169. Let h = b + 21.74. What is h rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145664 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x + 1. Let i = -4 - 8. Let g be (-9)\/6*i\/(-9). Let p(w) = 1. Let q(o) = g*p(o) + u(o). Give q(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*h**2 - 4 + 4)*(3*h**2 - 3*h**2 + 2*h**3).\nAnswer: -26*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02313 + 0.52313. Which is the smallest value? (a) 0.2 (b) 773 (c) i (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2697 - -1786. Let w = -23689\/26 - v. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10171020 (base 9) in base 11?\nAnswer: -2839a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(167*y**3 - 71*y**3 + 150*y**3).\nAnswer: -492*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 866000 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/675 and -56\/275.\nAnswer: 7425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Suppose -p - i*p = -2*f - 69, -f = 2*p + 24. Let v = -59\/2 - f. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 4. Let r be s(-2). Let l be (-12 + 9)*(-1 + 3 + -3). Suppose 0 = -3*f - 5*y - 3 + 8, f = y - 1. Solve f = -r*d - l*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -5 - (4 + (5 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 1, -7, 2.3, -2?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l + 2. Suppose 2*w - 2*x + 13 = 3, -7 = 3*w + x. Give b(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z. Let c(r) = r**2. Let h(d) = -2*d**2. Let i(f) = -3*c(f) - h(f). What is v(i(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213186 is divided by 86?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-705)\/(-70)*153 + (-2)\/(-28). What is the greatest common factor of t and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**0)**(-48)\/((d*d**(2\/29)*d)\/(d**13\/d)))**(-47\/5) assuming d is positive.\nAnswer: d**(51888\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d. Let y be s(3). Let j(c) = -48*c - 4. Let x(p) = 23*p + 2. Let r(t) = y*j(t) + 13*x(t). Give r(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34789699 a multiple of 581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 2939900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 11*r**3 - 21*r**2 + 32*r - 55. Give b(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 154*j*r**2*w**3 + 389*j*r*w**2 + j*r - 48*r**2*w + 2*r*w + r - 3*w**3 wrt r?\nAnswer: 308*j*w**3 - 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.821 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 12 = -5*u. Let q(v) = -8*v**2 - v**3 + 7 - u*v - 2 + 14*v. Is q(-9) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/16, 10, -0.2, -2\/19, 2, -7.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6275*k**3 - 52977091*k**2 + 52977091*k**2.\nAnswer: 6275*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528) - (sqrt(528) + sqrt(528)*2))*3 - (sqrt(528) - (sqrt(528) - sqrt(528)*-2*-1)))\/(-5*sqrt(22)\/sqrt(2)*3) + 0.\nAnswer: 32*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3*(552\/(-546) - 2\/(-13)). What is the biggest value in -0.1, 3, 2\/3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360787919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9908760 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103*t**4*w**3 + 6*t**3*w**3 + 2*t*w**3 + 6*t*w + 118 wrt t.\nAnswer: 1236*t**2*w**3 + 36*t*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 6*z - 5*z + 70 = 0, -95 = -5*y - 4*z. Solve -5*i = -30 + y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3442 = 11*u + 2339 - 3814. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 + 12*c - 23\/2.\nAnswer: -(c - 23)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 30 + 26 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4355743?\nAnswer: 7, 622249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*g + 25 - 22, 21 = g + 4*j. Solve -1 = r, g = 2*c - r - 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1061 - 661. What is the highest common factor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d + 35. Suppose -3*a = 4*m - 40, -4*a = -7*m + 5*m - 24. Let b(i) = -2*i - 23. Determine a*b(w) + 5*p(w).\nAnswer: -w - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 - 66. Suppose -f - 5*k + 45 = h, 2*f - 3*k = -0*k + 38. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u - 104. Determine a(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 303*b**2 - 312*b + 612.\nAnswer: 3*(b - 102)*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4237.844 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -50*o + 37. Let a be u(-7). What is the units digit of (-38)\/57*a\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -590 + 585. Let d(l) = 6*l - 3. Let i(r) = 4*r - 2. What is h*d(z) + 8*i(z)?\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1958, 4903, 7872, 10877, 13930, 17043, 20228?\nAnswer: 23497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 7 = b, 3*b - 5 + 14 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4162331 is divided by 354?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r. Let t be v(1). Suppose d - 51 = -4*k, k - t = -k. Let o(w) = -26*w - d*w + 70*w. Let z(c) = -2*c**2. What is o(z(f))?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4\/441 + 4871\/2205. Let j = -247\/110 + b. Is j smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 24 - 18. Let s be (-5 + (5 - -5))*n*1. Let i = 5 - -55. What is the highest common factor of i and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -605*a**3*b**3 - 7*a**3*b**2 - 3*a**3 - 2*a**2 + a*b**3 + 3*a*b**2 - 454*b**3 - 35*b**2 wrt b.\nAnswer: -3630*a**3 + 6*a - 2724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 2:45 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*((-17)\/(-51)*-2)\/((-2)\/(-111))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9)*28)\/(-21 - 2752\/(-129))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/sqrt(4))\/sqrt(3) + (-2 + sqrt(17))*5.\nAnswer: -10 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1029 and 9506?\nAnswer: 199626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -6 + 2. Let b = 3 - w. Let m be (3 - b) + 8\/2. Solve -j - m = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**5 + 4540*w**4 - 2602644*w**3 + 28712744*w**2 + 1068113030*w - 5735884500 = 0.\nAnswer: -18, 5, 25, 1129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -28897, -28721, -28465, -28129, -27713?\n\"Answer: 40*s**2 + 56*s - 28993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37241, 35617, 34003, 32405, 30829, 29281, 27767, 26293?\nAnswer: 24865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 65 (c) 2\/5 (d) 1\/37 (e) 4 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165122 is divided by 165052?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + 2 + sqrt(396) + 2.\nAnswer: 6 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**5\/20 + x**4\/6 + x**2 - 2*x. Let p be j(2). Suppose p*k = 4*k. Solve k*t - t - 3 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -3, 0, -61 in descending order.\nAnswer: 2, 0, -2, -3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 2*q + 15. Let z be x(4). Suppose 4*g = -4*k - 12, -2*k + 3 - z = 3*g. Solve s - 2*m = -13 + g, 5 = 5*s + 5*m for s.\nAnswer: -3","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: Expand (5 + 24*w - 37*w + 15*w)*(w**4 + 3*w**4 - 3*w**4).\nAnswer: 2*w**5 + 5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w - 4 + 2*w**4 - 9*w + w**2 + w**4 + 13*w + w**2 to n + v*w**2 + i*w**4 + t*w + f*w**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7801, 15595, 23387, 31177, 38965?\n\"Answer: -s**2 + 7797*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67896 is divided by 9348.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -9 (b) 1\/5 (c) 3.62 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 14*g**2 - 29*g + 48. Is j(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 700 - 2097 - 7*k**2 + 700 + 697.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.515 (b) 3 (c) 0.3 (d) 1\/4 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyoooyooooyoyyoooyo. Give prob of sequence yyoo.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-10))\/((-5)\/(-50)). Suppose 3*f + 142 = -4*s, 4*f + s + 3*s = -192. Let i = 130 + f. Calculate the greatest common divisor of i and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or 508183?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**5\/60 + 3*g**2. Suppose -3*o + 2*d = 0, 3*d - 5 = 3*o - o. Suppose j = o*j. Determine r(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 192?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 80350*i**2 - 806975136*i + 807055488.\nAnswer: -2*(i - 1)*(i + 20088)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 910, 3644, 8208, 14602, 22826, 32880?\nAnswer: 44764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(((b*b**(2\/5)\/b*b)\/b)\/b))\/b)**(1\/6)\/(b**(-1\/3)\/b)**18)\/(b**(1\/2)\/b**(2\/5)*(b**(1\/2))**29) assuming b is positive.\nAnswer: b**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 79*f**3 - 46 - 45*f**3 + 21.\nAnswer: 34*f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 11 = u + b, -14 = u - 4*b. Suppose -9*o + 64 = -629. What is the third derivative of 0*s**2 + o*s**6 - 58*s**u + 30*s**2 wrt s?\nAnswer: 2280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 54*s**3 + 6*s**2 - 2*s - 14. Let f(q) = 81*q**3 + 9*q**2 - 3*q - 21. Let y(d) = -5*f(d) + 8*k(d). Does 51 divide y(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -4 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100 + -42 + -49 - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-6400)\/28)\/20)\/(-4)\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = 37*j - 152*j. Solve 5*b - 4*u = -9*u, -12 = -b + j*u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1163579946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8484366*w + 8484370*w + 36*a + 148 = 0, w = 2*a + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.69 * 8.\nAnswer: -61.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2192870 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = 201*g - 184*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -391 + 395. Let m(t) = -15*t + 65. Let d be m(j). Solve c = 4*b - 13, -3*c - 21 = -d*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(t**2 + 5*t**2 - 5*t**2)*(0*t - 2*t + t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -4, 4\/5, 40.8, 2, -2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15844\/15 - -1055. Find the common denominator of -49\/102 and r.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4150 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v. Let o(m) be the first derivative of 493*m**3\/3 + 45. Give l(o(c)).\nAnswer: 493*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/14)\/(2\/(-12)). Find the second derivative of 10*j - 6*j**3 - 2*j**3 + j**s wrt j.\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 3\/(-12))*4. Suppose 0 = 2*h + 5*q + 8, -4*q - 21 = -2*h + y. Does 11 divide (h - 2)*29\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.8 - 1. Let l = -7.9 + n. Let y = l - -1.1. Which is the second biggest value? (a) 5 (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/10388 and -33\/8.\nAnswer: 20776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590 at least as big as 1594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -33*r**8\/56 - 47*r**4\/12 + r**3\/3 + 25*r. What is the third derivative of t(p) wrt p?\nAnswer: -3960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - t = -0 - 21, 3*x + 3*t - 27 = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -164, -123, -14, 199, 552, 1081, 1822, 2811?\n\"Answer: 6*c**3 - 2*c**2 + 5*c - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2826)\/4239*150\/(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-172)\/(-168) - 1). Let n be (91\/52)\/(q\/(-40) + 1). Let f = 32 - n. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48714 = -4*z - 4*c - 48778, 5*z - 88 = 3*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c4 - 1a3a4?\nAnswer: -1a2b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = -4*b + 8, 3*z + 5*b - 6 = 0. Factor 12*u**z + 6*u**4 - 32*u**2 + 6*u**3 - 4*u**4.\nAnswer: 2*u**2*(u - 2)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25 and -13437.\nAnswer: 335925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1573769807 and 2986.\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 3*k**2 - 4*k + 7. Let l be v(-5). Let u be 3 + -1*(-71)\/l. Let o = -62 + 185\/3. Which is the nearest to o? (a) -0.2 (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j**3 + 5*j**2 + 1. Let q(b) = -17*b**3 - 11*b**2 - 2. Let z be 132\/154*((-44)\/(-8) - (-6)\/4). Give z*q(d) + 13*w(d).\nAnswer: 2*d**3 - d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 + 48. Let u = -23 - y. Sort u, 1, -2 in descending order.\nAnswer: 1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 10 + (144\/288)\/((-4)\/114).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -2. Let q(k) = -k**3 - 13*k**2 + 14*k + 2. Let d be q(-14). Let p be (d\/(-3))\/((-200)\/60). Which is the third biggest value? (a) -4 (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from ddddciddidcdwd.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107 - -106.6. Sort 23, 5, h.\nAnswer: h, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07178 + 0.\nAnswer: -0.07178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3195393203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Sort 133, 0.6, -1\/2 in descending order.\nAnswer: 133, 0.6, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1 - 63\/(-35)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 11*q - 8. Let n be w(10). Suppose 3*k - 4*c - 33 = 0, 2*k = n*c + 14 + 6. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39.09, -5, -4, 0.3 in descending order.\nAnswer: 39.09, 0.3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, b: 2, c: 2}. What is prob of sequence ecb?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 2*c**3 - 6*c**3 + 134 - 133 + c**2 + 5*c**3 in the form f*c**2 + i*c**3 + y*c + p and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21813 - -31249. Let a be 2\/(-12) + t\/24 + 3. Suppose 0 = -5*c - 3*x + 1471, 2*x - 107 = c - a. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -625 + 187*a + 165*a + 177*a + 183*a - 708*a.\nAnswer: 4*a - 625","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 137984529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 61286107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - y + 7 = 0, -9*y - 15 = -6*y. Calculate the remainder when 100 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -1. Let j = -5.8 + y. Let r = 0 + j. What is the second biggest value in r, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139.53584 rounded to the nearest integer?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1048 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1932)\/18)\/(-23) + 2\/6 + 47167.\nAnswer: 2, 3, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22879 - -22903. Let j(t) be the third derivative of t**3\/3 + t**2. Let o(b) = 4*b + 24. Determine a*j(s) - 2*o(s).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 3 - 3 - 5783*o - 171*o to the form q + f*o and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 8:46 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/10)*z\/(z**(-4\/19)*z))**(-4) assuming z is positive.\nAnswer: z**(-118\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86460*c + 86476*c - 172969*c.\nAnswer: -33*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 5*g**2 + 9*g - 5. Give a(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59699\/18 + 3319. Let d = 14 - 17. Calculate the common denominator of 51\/((-16)\/(d + -1)) and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from uwuww?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aax. What is prob of picking 1 a and 1 x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -670926, -671002, -671064, -671106, -671122, -671106, -671052?\n\"Answer: k**3 + k**2 - 86*k - 670842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z. Let d = 19 - 10. Solve -2*u - j + 0*j + 7 = z, -3*j = d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 10*f**3 - f**2 - 2*f + 8. Let h be v(2). What is the greatest common factor of 560 and h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 36 (b) 8 (c) 14 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -18, 2731, -11, 1 in decreasing order.\nAnswer: 2731, 5, 1, -11, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) -4\/17 (c) -11.6 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1220751, 1220637, 1220521, 1220403, 1220283?\nAnswer: 1220161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 16 = -4*a - 24, -5 = 4*a + 3*q. Let v(z) = -9*z**3 - 4*z**2 - z + 5. Let r(t) = 148 - 150 + 3*t**2 - t**2 + 4*t**3. Determine a*r(d) - 2*v(d).\nAnswer: -2*d**3 - 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s - 386. Let g(h) = 4*h + 376. Calculate -4*g(c) - 3*n(c).\nAnswer: -c - 346","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - 28*x**3 + 33*x**3 + 28*x**3.\nAnswer: 33*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v - 10. Let n be 16\/(-6)*42\/(-4). Suppose -2*f = 5*f - n. Does 5 divide m(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - o + 11, -2*o = 5*i - 0*o + 83. Let y = -13 - i. Solve -5*h + u + 29 = 0, -7*u + 5 = 5*h - y*u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.7, 1\/3, 312\/53, 2.8 in decreasing order.\nAnswer: 312\/53, 2.8, 1\/3, -9.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -197 - -195. Let p = 6.87 + 0.13. Which is greater: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4317439 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5716686?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3233.6 - 3927. Round f to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41228.4ns to milliseconds.\nAnswer: 0.0412284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, z: 3, t: 10, a: 1}. What is prob of picking 1 m, 2 a, and 1 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-23)\/(-2))\/((-6)\/(-36)) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10.1928608 and 1066.6.\nAnswer: 1056.4071392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/4))**(-4\/25) assuming d is positive.\nAnswer: d**(-3\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 less than -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**3 - 17*z**2 - 12*z + 22. Calculate n(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 3*f**2 - 3*f + 4. Let d be r(2). What is the second derivative of -67*p + 15*p**5 + d - 2 + 80*p wrt p?\nAnswer: 300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 8\/3, -21 in descending order.\nAnswer: 8\/3, 2, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 3:10 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9565 by -4.\nAnswer: -9565\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**9\/4536 - n**8\/1260 + n**3 + 2. Let d(l) be the third derivative of p(l). Factor d(o).\nAnswer: -2*o**4*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56072807 to the nearest integer?\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -11. Let d be z\/3*3\/2. Let y be (-18)\/2*15*(-3)\/9. Solve 0 = -5*s + 4*b - y, 2*b + d*b - 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g**(-17)*g))*g*g)\/g)\/g)**(-1\/2)*(g**(-19))**3 assuming g is positive.\nAnswer: g**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*h - 82 = 0, 5*k - 2*h = 59 - 169. Let i = k + 75. Let o = i - 48. Calculate the least common multiple of o and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 16*f**5\/5 + 17*f**3\/3 + f**2\/2 + 75. What is the third derivative of d(x) wrt x?\nAnswer: 384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, q: 1, y: 3, m: 1, i: 1, p: 5}. What is prob of picking 1 i and 3 y?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-2 + -1 + 2)*2. Let r(w) = -211*w - 25. Let y be r(x). Suppose y = d + 2*d. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 626*h*l*x**3 + h*l*x - 5*h*x**3 - h + 10655*l*x**3 + 2*l*x**2 + 24*l + 626472 wrt x?\nAnswer: 3756*h*l - 30*h + 63930*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 29*w + 19*w + 20 + 10*w. What is the common denominator of 49\/143 and b(-1)?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 - 17 - 4*y**5 + (23815*y**2 - 23815*y**2 - 3*y**4 - 92*y)*(3 - 3 - 3*y).\nAnswer: 5*y**5 + 276*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9925505.\nAnswer: 5, 19, 104479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 226, 319, 452, 619, 814, 1031, 1264, 1507?\n\"Answer: -g**3 + 26*g**2 + 22*g + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n + 16, 106 = 3*o + 2*n. Suppose 3*a - 10 = o. Let z = a - 10. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.3 - 30.3. Let w = 22 - -3.6. Let i = j + w. What is i rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -590 + -312100827\nAnswer: -312101417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78.13 - -77. Let w = z - -1.63. What is the fourth biggest value in -4, 1, -1\/5, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/6 + (1 - -2). Let b = 0.9 - 1.4. What is the biggest value in -3, k, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13\/123 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + j + 5. Let g(v) = 3*v**2 - 4*v**2 + 2*v**2 - 3*v - 11 - 4*v**2. Determine -7*d(q) - 3*g(q).\nAnswer: 2*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58216 and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-4) - 138\/184.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3605 and 1323?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from khhhknkhhhnhhhhhhh.\nAnswer: 26\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(1\/4)*n)**(-47))**12*(n*n**1)**(1\/7)\/(n\/(n**(-6)*n*n*n)*n*n**(2\/7)*n) assuming n is positive.\nAnswer: n**(-1839)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1500373976.\nAnswer: 2, 37, 149, 34019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.12, -13, 0.109?\nAnswer: 0.109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 - 209\nAnswer: -209.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51965476.\nAnswer: 2, 491, 26459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*h + 83 - 15 = 0, h = l + 58. Let j be (-7)\/5*l\/630. What is the nearest to -0.1 in j, 8, 0.7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2060 from -463645.\nAnswer: -465705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13895 = -3*u - n, 50*n = 2*u + 55*n - 9246. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(380)\/(-1*sqrt(10)))\/((sqrt(24) + -4*sqrt(24))\/sqrt(12)) + 5)**2.\nAnswer: 4*sqrt(19)\/3 + 55\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14594, -29117, -43640, -58163, -72686, -87209?\n\"Answer: -14523*j - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 1, 0, 163 in decreasing order.\nAnswer: 163, 1, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/65)\/(m*m*m**(-4\/17)*m*m)*(m*m**(3\/8))**(2\/17) assuming m is positive.\nAnswer: m**(-15789\/4420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 285 = -14*i. What is the highest common divisor of i and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 86*m + 2 = 168 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, b: 5, z: 4, s: 3}. Give prob of sequence sbz.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m - 9. Let f(y) = 12*y + 21. Suppose 5*x + 5*i = 35, -5*i = -0*x - 2*x. Let u(l) = x*n(l) + 2*f(l). Let s(b) = 1. Give 3*s(q) + u(q).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 40223922963.982?\nAnswer: 40223922963.482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -6.7.\nAnswer: -13.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*v = -33, 0 - 21 = -c + 4*v. Solve c + 4 = -13*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -18*m - 44. What is the smallest common multiple of 14 and m\/10 + (510\/25 - 0)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y**2 + 4. Let c(x) = 7*x**2 - 7. Let l be -12*1\/14*7. Let m be (-9)\/2*2 - (0 + 1). Give l*c(h) + m*p(h).\nAnswer: -2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -959 = -8*w - 199. What is the third derivative of 20*k**2 - w*k**4 - 24*k**6 + 95*k**4 wrt k?\nAnswer: -2880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -4. What is the second derivative of 2*l + l**4 - 3*l**4 - w*l**4 + l**4 wrt l?\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - 2*j**2 + 4*j - 9. Let v be k(-3). Which is the third biggest value? (a) -5 (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250950?\nAnswer: 2, 3, 5, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2434 divide 229813291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084 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: Expand (-2*d**3 + 3*d**3 - 2*d**3)*(25253*d + 33049*d - 48054*d).\nAnswer: -10248*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 6 + 8)*((4*l - 1 + 1)*(-2*l - 3*l + 7*l) - 9*l**2 + 9*l**2 + 18*l**2) to s + g*l + x*l**2 and give x.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2728*j - 167. Is w(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1553234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 - 1 + 4 - 2 + 13*o**4 - 11*o**4 - o to t*o**2 + a + z*o + i*o**3 + u*o**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20349 - 12947. What are the prime factors of d?\nAnswer: 2, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/69 + ((-1480)\/60)\/(-74)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 607105?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1080\/(-555) + 26\/13. Which is the nearest to 3\/4? (a) -2\/11 (b) 2 (c) w (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -36. Let z = -16 - f. Let n(x) = 5*x**2 + 4*x - 4. Let g(s) = -s**2 - s + 1. Determine z*n(y) + 4*g(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57997 is divided by 56.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1505 divided by -1146?\nAnswer: 1505\/1146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*o - 63*o + 16 = 0. Let s = 3.03 + -0.03. What is the closest to 0.3 in o, s, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 447 - 428 = f + 19*j, -5*f - 4 = -4*j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 377*o**3 + 2*o - 1664 wrt o?\nAnswer: 1131*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/35)\/(2\/(-4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000064295 rounded to seven dps?\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25670353089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -8556?\nAnswer: 8553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 237795 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -5.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 26. Let x be d(26). Suppose 5*w + 336 + 514 = x. Let g = w + 240. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((0 + sqrt(700))*6 - sqrt(700))**2 - ((sqrt(21)\/(sqrt(12)\/sqrt(4)) - sqrt(7)) + -1 + sqrt(28))**2).\nAnswer: 8*sqrt(7) + 34942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**2. Let t(k) = -3*k. Let m(o) = o. Let j(x) = 14*m(x) + 4*t(x). What is p(j(n))?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-856)\/11 + (-18)\/99. Let w be (1\/(-2))\/((-3)\/m). Let d = -9 - w. Solve -4*j + 20 = d*c, 2*j + c + 2*c = 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*o = -26, 5*c - 1 = -2*o + 21. Suppose 0 = -2*g + c. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -288251136.\nAnswer: -288251136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*m + 3*p - 2*p, -m + 9 = -4*p. Solve -8*j + 31 + m = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*r**3*v - 233*r**3 - 2250*r**2*v - 3*r*v wrt r?\nAnswer: 78*v - 1398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27204896 and 1088.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22661591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 q when four letters picked without replacement from {s: 1, q: 10, j: 2, w: 4}.\nAnswer: 12\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 66*d + 837 + 439. What is the remainder when ((-58)\/(-4) - 0)*6 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3, 0.88, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1896054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + k + 1. Let n(z) = -z**2 - 3*z - z - 1 + 3*z. Let w be (2 - 3*(3 - 2)) + -3. Let g(t) = w*n(t) - 4*a(t). Let b(h) = -2*h**2. What is b(g(r))?\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from guuuggguuguuuuwugggg. Give prob of picking 4 g.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7417 + 7419. Let m(x) be the first derivative of -4\/7*x**3 - 1\/7*x**4 - 4\/7*x**v + 0*x + 21. Find a such that m(a) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -1 + (-1 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02207 + 273762293.\nAnswer: 273762292.97793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a + 1\/5*a**2 + 231\/5.\nAnswer: (a + 7)*(a + 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2738686081?\nAnswer: 2738686081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.27 - 0.4. Let z = y - -0.1286. What is z rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2601 - 2608. Which is the third biggest value? (a) -1 (b) h (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ad26 - 2?\nAnswer: ad24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-117)\/12 - -10)\/((-22)\/(-7) - 3).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23809106 and -20.\nAnswer: 476182120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:26 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxzxixxixpzpxpzpxpix. What is prob of sequence zx?\nAnswer: 27\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10136 divided by -7.\nAnswer: -1448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 148*(-2)\/(-8)*1. Let f(v) = -40 - v**2 - v + 10*v - h + 78. Give f(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + w + 4*w)*(-w + 0*w + 2*w + (1 + 1 - 1)*(4 - 4 + 2*w)) to u*w**2 + z + h*w and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(70\/48)*((-875)\/(-21))\/25. Solve -a*b - 34 = -2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/u)\/(u*u\/u**(-2\/7)*u)*(u\/u**(-2\/9)*u*u)\/u**1*u**(1\/6)\/(u\/(u**6\/u))*(u\/(u*((((u*u**4*u)\/u)\/u)\/u)\/u)*u)\/u*u**(-6) assuming u is positive.\nAnswer: u**(-617\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + -28 + 38 + (-52 - -3)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228 and 34713?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 9*t**2 - 3*t + 349. Is 24 a factor of j(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 64 - 179. Find the common denominator of d\/14 + -2 + 1 and 83\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.078 * 0.03\nAnswer: 0.00234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**2 + 14*o**2 + 9*o**2.\nAnswer: 34*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3*804\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 61 = -3*t - 22 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 2, q: 4, i: 6, m: 6}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2*j*v + 5*i**2*v + 2*i - 595*j*v - 21*v with respect to j.\nAnswer: i**2*v - 595*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -52, -36, 137 in descending order.\nAnswer: 137, 5, 3, -36, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p. Let z(k) be the first derivative of k**5\/120 - 103*k**3\/3 - 10. Let u(j) be the third derivative of z(j). What is u(r(c))?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - -3.05. Let t = -0.06 + 0.06. Which is the nearest to t? (a) h (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s - 25*s - 16*s)*(301 - 550 + 281) as f + d*s and give d.\nAnswer: -1216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -509*k**2 + 32*k + 2. Let n(x) = -11*x. Calculate d(n(q)).\nAnswer: -61589*q**2 - 352*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 4. What is the units digit of f(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-220) - (-3468)\/(-374)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 2*c = -1182276. Let s = c + -209569. Round s to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 7:00 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19642464 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 7637*n - 3648058. Let r(p) = 4*p**2 + 22912*p + 10944188. Let i(s) = 8*j(s) + 3*r(s). What is l in i(l) = 0?\nAnswer: -955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 144 and 2.2.\nAnswer: 316.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 224111?\nAnswer: -224106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/(-24))\/(-3 + 4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -1 + -1)*390\/(-15). Suppose -3*m - 5*w = -42, 3*m - w - 16 - y = 0. Suppose -40 = -6*z + m. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-338)\/(-39) + -12)\/(86\/9). Do b and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16195, -16175, -16153, -16123, -16079, -16015?\n\"Answer: p**3 - 5*p**2 + 28*p - 16219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-3))\/(2838\/(-4257)). Solve -8\/13 + 0*l + 2\/13*l**v = 0 for l.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 - 84*w**3 + 25*w**3 + 22*w**3 - 16*w**3 + 0*w**3.\nAnswer: -53*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57479377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -71. Let u = -52.37 - o. Let b = u + -0.629993. Round b to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4.2. Suppose 9*a + 6 = 7*a. What is the third smallest value in 1\/4, 4, s, a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74639 + -3 + -3 + 0*3\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16199 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*x, x = 2*n + 2*n - 125. Suppose 4*y + n - 6 = 0. Let q(c) = 18*c**2 + 16*c**2 - 44*c**2 + 1 + 9*c**2 - 8*c. Give q(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 - -10) + 50 + 0. Let z = 168 - 100. Let g = z - n. What is the remainder when 77 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5632*w = 5641*w - 2435760. What is w rounded to the nearest 1000?\nAnswer: 271000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 g when three letters picked without replacement from ghghghjhhhjhhogghhh?\nAnswer: 275\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4 + 63\/210. Which is the closest to 0? (a) -2 (b) 5\/6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25, -199, -673, -1597, -3121, -5395, -8569?\n\"Answer: -25*f**3 + f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/241120 and 77\/120.\nAnswer: 723360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38\/215 - -139\/430. Find x, given that z*x**2 + 7\/2 + 4*x = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqoo when four letters picked without replacement from noqq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2994*s - 81. Let b(l) = -1. Let u(d) = -6*b(d) + q(d). Is u(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402268 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 - (-115 + 116)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnots. Give prob of sequence nqno.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -2*q**2 + 0*q + 0 + 0*q**4 - 1\/12*q**5 + 0*q**3. Let j(u) = -u. What is j(a(m))?\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 2\/3*i**6 + 0*i + 36\/5*i**5 + 0*i**4 - 88 + 0*i**2 + 0*i**3. Factor r(f).\nAnswer: 4*f**4*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -1, -3803 in ascending order.\nAnswer: -3803, -39, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and -4985?\nAnswer: -84745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**4 + 6*n**3 - 227*n**2 + 33195*n?\nAnswer: -24*n**2 + 36*n - 454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001111111010 + -1010101010110?\nAnswer: -101100101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**0\/b*b)*b*b)**(-18\/11)*(b**(-2)\/b)**2 assuming b is positive.\nAnswer: b**(-102\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 5*p**2 - 50*p + 24. Let w be o(10). Suppose -128 = w*i - 704. What is the remainder when 138 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okkzrzozozorrzoorre. What is prob of picking 2 r?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 4) + -1 + (-5 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omo when three letters picked without replacement from {o: 2, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + 21. Suppose c = t + t. Calculate the remainder when 74 is divided by t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96.84 + 16.26. Round n to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4410784 is divided by 30.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 6*t**2 - 9 - 2*t**2.\nAnswer: 4*t**2 + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 w, and 2 c when four letters picked without replacement from {z: 1, w: 3, u: 2, c: 3, p: 1, l: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15549819?\nAnswer: 3, 439, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 2:12 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -583, 373 in descending order.\nAnswer: 373, 3, -583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 399 = 3*b + 2*y, 2*y = -3*b + 396. Let i(l) = -5*l + 1. Let n be i(-5). Suppose b = -n*h + 28*h. What are the prime factors of h?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9696053?\nAnswer: 47, 206299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -112 - o**3 - 12*o**2 + 7*o - 36*o + 214 - 112 - 4*o. Determine u(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 164 + 88 - 196, -c = 11*b + c - 61 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 78 + 8 = 0. Calculate the lowest common multiple of 22 and b.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/((d\/(d\/d**(-8)))\/d))*d**8*d)**43 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 1)*(14*z + 21*z - 32*z + 1) as q + f*z and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 5)\/(1\/(-3)). Let j(h) = h**3 + 10*h**2 + 6*h - 19. What is the units digit of j(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + c + 14, 0 = 5*w - 801*c + 799*c + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivvvi. Give prob of sequence vv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/36 and 82\/21?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -111, -3, 0.4 in ascending order.\nAnswer: -111, -3, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 6. Is 3 + (-1 - (m + -15)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21584914 and 531?\nAnswer: 194264226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37672314 divided by 18836157.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1232 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3136*x**3 - 12*x + 27*x - 3133*x**3 + 6 + 6266*x**3.\nAnswer: -3*x**3 + 15*x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = b - 2. Let o = -35 - -33. Which is smaller: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.94 + -0.06. Let k = y + 2.1. Let s = k + -1.6. Round s to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36473 + 36781. Sort -4, -2, h, 12 in ascending order.\nAnswer: -4, -2, 12, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521655?\nAnswer: 3, 5, 83, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6*p - 48 = 0. Let d = 31 - p. Solve -5*l + 0*l + d = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j + 258. Determine n(-27).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*n + 583 - 1434 = 0 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/28 and 131\/16558686.\nAnswer: 231821604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 36 (b) -15.7 (c) 4 (d) 0.048\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**4 + 7*d**2. Let s(k) = -2*k**2. Give m(s(f)).\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -50. Find g, given that 4 - x*g**2 + 0*g - 125*g**3 - 2*g + 121*g**3 = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10872834 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 7088567?\nAnswer: -7797423.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/84 and -109\/5280.\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 2*b + 168 = 0. Let -40 - x**2 + 26 - b*x - 3*x**2 - 34 = 0. Calculate x.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 928563 to the power of 1\/2, to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - 6*z - 5. Let a(b) be the second derivative of -b**5\/20 - 5*b**4\/12 - 7*b**3\/6 - 2*b**2 + 5*b. Let f be a(-4). Is 25 a factor of y(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**2\/11 + 5754*q\/11 = 0.\nAnswer: -2877, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttxbpqxxpppxptx. What is prob of picking 2 p and 2 t?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 190 in 0.052, -0.5, 16, 0.2, 0.06, 0.3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-6)\/45 - (27948757\/(-615) - (2 + -6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1065130829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -25*2\/4 - -11. Sort -1\/195, -4, h.\nAnswer: -4, h, -1\/195","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, -1, -1\/7, 1.\nAnswer: -1, -1\/7, 1, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/36 and -151\/852.\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -326 - -322.66. Let c = 0.34 + w. Suppose 20 = 9*p - 25. Put p, 1\/2, c, -0.2 in ascending order.\nAnswer: c, -0.2, 1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*c**4 + 92*c - 92425 with respect to c.\nAnswer: -144*c**3 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 1 - 21. Let d(y) = y**2 + y - 2. Give d(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.73 * -1228\nAnswer: 896.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*o**2*u - 385*o**2 - 278578*o*u**2 - 6*u**4 + 315216 wrt u.\nAnswer: -6*o**2 - 557156*o*u - 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191350083*n**4 - 996*n + 10851 wrt n?\nAnswer: 2296200996*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62490.\nAnswer: 2, 3, 5, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u + 25. Let r be 6\/(-2) - (2 - -1). What is the tens digit of d(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 6:33 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 - 12*g + 14*g**3 + 12*g.\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 888 and 185.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-1) - (-6)\/1. Let q(d) = -d**3 + 7*d**2 + 2*d + 7. Let m be q(r). Suppose -4*i = i - m. Calculate the highest common divisor of i and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6944?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -15 (b) -17 (c) -67 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 9*f**2 + 9*f + 168. Let g be s(-7). Which is smaller: 27 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5979)\/(-4 + 1*(3 + 0)). Let -5983*m - 84*m**2 + b*m + 84 + 0*m**3 + 4*m**3 = 0. Calculate m.\nAnswer: -1, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1112 - 0?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1469 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 29468236.\nAnswer: 176809416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 + 2. Let z = 929 + -931. Let h(y) = -y**3 + 1. Give z*q(r) + 3*h(r).\nAnswer: r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -226\/11 or -20?\nAnswer: -226\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 406.\nAnswer: -5\/406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + z - 1. Let k(a) = 7*a**2 - 7*a - 84. Let o(w) = -k(w) - 6*q(w). Let i be o(0). Is 1 - i\/(2 - 5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brr when three letters picked without replacement from rbrrbbbrrrbr?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161724 and 158352?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g + 0*g - 2*g - 3*g in the form h*g + z and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 17, 27, 55, 113, 213, 367, 587?\nAnswer: 885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 5192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -9. Let m = -51 + q. Let t = m - -40.9983. What is t rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u - 3. Let j(c) = -3*c. Let l be j(2). Let f be y(l). Suppose -f = -5*a - 5*m + m, 0 = m. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -482*s**5\/5 + 36*s - 376. Differentiate x(g) with respect to g.\nAnswer: -1928*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((8\/6)\/(-2))\/(-2). Suppose 2 + 22 = 4*f. Let k be (-6)\/(-4)*f\/(-9). Is n at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/35, 60217, 3\/2?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 5*v - 3*d, 0*d - 2*d + 33 = -5*v. Sort 1, v, 4, -9 in ascending order.\nAnswer: -9, v, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3080 + -2714. Calculate the smallest common multiple of k and 93.\nAnswer: 11346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 24*y - 28*y + 44, -45 = 4*k - 5*y. Let n be 30\/k*(-26)\/36 + -2. Factor 1\/2*i**4 + 1\/3*i**3 - 1\/3*i**2 - n + 1\/6*i**5 - 1\/2*i.\nAnswer: (i - 1)*(i + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26130961 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -9 + 6 + 6 + -16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13 * -2217459\nAnswer: -28826967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.253235 rounded to three decimal places?\nAnswer: 0.253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (4 + 5 - 5))*20. Is (p - -6454)*(6\/(-4) + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 4, 255, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1957940 and -39\/978970.\nAnswer: 1957940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a century in months?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3159))\/((sqrt(54)\/sqrt(3) + sqrt(18))\/sqrt(6))*2*3.\nAnswer: -54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*f**4\/15 - 22*f**3 - 32*f**2\/5 - 8*f\/15.\nAnswer: -2*f*(f + 1)*(11*f + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 - -259. Let v = s + -168. Which is smaller: 5\/22 or v?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2880) - sqrt(2000)*-1)\/((sqrt(400) - (sqrt(400) - (sqrt(400) + sqrt(400)*-1 + sqrt(400)) - sqrt(400))) + sqrt(324)\/sqrt(9)).\nAnswer: -26*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2*12\/8)\/((-52)\/52)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**3 - 3*j**2 - 2*j + 7. Let a = -174 + 176. Let r be u(a). Solve -6*i + 9*i + r = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 - 534*f**2 - 4417*f - 268. What is j(-8)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 5*u + 5*q + 5 = 0, -u - 3*q = -13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 1100 = -311. Let l(m) = -25*m + 7. Let i be l(6). Let a = c - i. What is a rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 + 6 = 0. Suppose x*g = -0*g + 348. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -110)*(-23)\/(37 - -32).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.987 - -408.713. Let m = 410 - w. Sort 13, -2, m, 3 in decreasing order.\nAnswer: 13, 3, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 + 42*z - 36. Let v be b(20). Solve -4*u = -702 + 706, 0 = -c - v*u - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 25019900*h.\nAnswer: 4*h*(h + 6254975)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42\/62*(-8)\/(-2). Let z be (-15)\/(-155)*3694\/(-12). Let k = z - t. What is the common denominator of k and -43\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 16 = 2*o, 5*o = -5*j - 6 - 4. Suppose 25803*g - 25800*g + 4*m = 153, 4*m = -24. What is the remainder when g is divided by (o\/1 - 0) + 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35690512, 35690509, 35690508, 35690509, 35690512, 35690517?\n\"Answer: r**2 - 6*r + 35690517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 5*l - l)*(27*l**3 - 8*l**3 + 10*l**3) + 2*l**4 + 0*l**4 - 3*l**4 + (4 + l**2 - 4)*(-l**2 - 2*l**2 + 2*l**2).\nAnswer: 27*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 6*j**2 - 10*j + 1. Suppose -319 = 2*b - 13*b. Let p = b - 36. What is the remainder when 84 is divided by d(p)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o + 19. Calculate p(2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - y + 505 = 16*u, -u = 3*y - 509. What is the remainder when u is divided by 163?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 9. Let p(t) = -t**3 + 5*t**2 - 2*t - 6. Let l(i) = i**3 - 5*i**2 + 2*i + 5. Let n(y) = v*l(y) - 6*p(y). Give n(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 15*g**2 + 12*g + 387. Determine k(17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + o = -6, -3*w + o + 268 - 272 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 4*t**2 + 4*t + 1. Let r be m(-5). Let d(l) = -1611 - 3 + 6*l + 1622 + l**2. Let o(y) = 2*y**2 + 7*y + 9. Give r*o(c) - 7*d(c).\nAnswer: 5*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4020865?\nAnswer: 5, 797, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 550 + 2714. Suppose 0 = -4*d - h - 292. Find the common denominator of -7 + (-329)\/(-49) - d\/(-28) and 35\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 567 - 532 - 13*s**3 - 12*s**3 wrt s?\nAnswer: -75*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 44*w + 114. Let m be z(-4). Let b = 65 + m. Solve -3*t - y - 2 = -0*y, 0 = 4*t + b*y + 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -287*k**2 + 324*k - 838. Differentiate g(u) wrt u.\nAnswer: -574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58751, 235013, 528773, 940025, 1468763?\nAnswer: 2114981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -30 + 16 + -50\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 223 - 124. Suppose -5*g + 0 = -25, 3*i - 3*g - f = 0. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 24, 32.\nAnswer: -5, 24, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.3 + -22.3143. Round i to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2. Let h(i) = 12568031*i. Calculate w(h(z)).\nAnswer: -315910806433922*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d + 10, 5*g = 5*d + 200. Suppose -j + 58 + g = 0. Suppose -2*f - 7*k + 2*k = -69, 3*f + 4*k = j. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2088 is divided by 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i - 13. Let h be n(-15). Is 6 a factor of (-189)\/28*h\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*l + 39*l = 124*l - 27144. Calculate the highest common divisor of l and 5684.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 16. Suppose h = 3*y - 6 - 21. Calculate the greatest common factor of y and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**3 - 7*q**2\/2 + 7*q - 7. Let z(r) = -2*r**2 - 5*r + 5. Suppose 1 + 9 = -2*g. Let x = 0 - g. Determine x*f(m) - 7*z(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 836\/195 + 42\/65. Calculate the common denominator of 73\/102 and j.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 9 + 5 + 8085377*b + b**2 - 8085377*b.\nAnswer: b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.8178932 months to decades.\nAnswer: 0.01514911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 0 - 1)*(-277 - 71*r + 277) + (1 + 0 - 2)*(-6*r + r + 3*r))*(-r**3 + 8*r**3 + r**3) as v*r**2 + l + z*r + d*r**4 + c*r**3 and give d.\nAnswer: 1152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a + 0*a - 2*a + (-19*a + 4*a + 3*a)*((-2 + 2 - 2)*(0 - 2 + 1) - 2 - 1 + 4) - 4*a - 2*a - 10*a.\nAnswer: -51*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/10*13*(-13)\/1859)\/(1\/3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 - -113 - (0 - 1 - (1 - 21))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 594376 and 2.\nAnswer: 594376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**4 + 12*a**2 + a**3 + 15*a**2 + 95527*a - 95528*a + 44*a**2 in the form x*a**2 + l*a**4 + w*a**3 + o*a + v and give x.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 17, w: 2}. Give prob of picking 2 w and 1 v.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 + 1 + 7 + -10 + 11 + -6 + -13.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a**2 + 2. Let i(j) be the first derivative of 4*j**3\/3 - 3*j**2 + 8*j + 15. Let p be i(2). Let d(n) = p*n - 25*n + 3*n + 12*n. Calculate m(d(s)).\nAnswer: -28*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 20 = -5*r - 2*w, 0 = 3*r - 2*w + 1. Suppose -r*f + 46 + 14 = 0. Suppose -n - n = -f. Solve 0 = 2*j + 3*j + n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*q - 35. Let m = -19 + q. Suppose m*n = -2*n + 170. Solve 4*h - n = -1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 18. Solve -s + 3 = -v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2. Let d(b) = -1895*b**2 - 13. Determine d(k(p)).\nAnswer: -17055*p**4 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 73?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**5\/20 - u**4\/3 - u**3\/6 + 3*u**2 - 1609*u. Give h(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-35)\/(-12) + -3). Let a be o\/(-16)*1\/((-22)\/(-32)). Factor 24\/11*u + 16\/11 + 2\/11*u**3 + a*u**2.\nAnswer: 2*(u + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0*g**3\/g)\/((g\/g**4)\/g**(-7)) assuming g is positive.\nAnswer: g**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -2*b + 5*i - 3*i, 3*i = b - 60. What is the greatest common divisor of b and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -8. Suppose -2*w + 119 = 3*y, -5*y = -14 - s. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6786 and 268047?\nAnswer: 536094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -125453530 (base 6) in base 9?\nAnswer: -4646640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3496194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*b - 3*p, 2*b + 2*b = -5*p - 10. Let v = b + 2. What is the second derivative of 2*f + 0*f - f**v + 2*f**2 wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26305097 is divided by 2181.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 2. Suppose -5*w - 264 = -4*m, -3*m - 4*w + 198 = w. Let t(l) = -m + 63 + 0*l**2 + 2*l**2. What is 3*a(r) + 2*t(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpk when three letters picked without replacement from {v: 1, a: 1, u: 3, j: 3, p: 5, k: 1}?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1833098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 7 = -4*j + 3*u, -2 = 5*j + 4*u. Let r(m) be the first derivative of -2 - 2\/3*m**3 - 1\/2*m**4 + m**2 + j*m. Factor r(w).\nAnswer: -2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 2*h - 5*c - 111, 4*h + 2*c - 458 = 0. Suppose 0 = -4*g + 45 + 3. What is the greatest common divisor of g and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) 0.4769 (c) -0.1 (d) 3\/5 (e) 1\/4 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faidfit. Give prob of sequence iid.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 12 + (-2352)\/(-280).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 12?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2373 (base 11) in base 7?\nAnswer: -12024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 37*g - 1 - 121*g)*(2 - 2 - 2*g**2) + (-g**2 + 4*g**2 - g**2)*(3 - 3 + 2*g) - g**3 + 0 + 0.\nAnswer: 323*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 12*q**2 - 115*q - 18. Let f(y) = -11*y**2 + 109*y + 17. Let c(h) = 18*f(h) + 17*v(h). Let a(m) = -m - 3*m**2 - m**2 + 3*m**2. What is 4*a(z) + c(z)?\nAnswer: 2*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -41. Solve 0 = 2*g + a*z + 20, -2*z = 4*g - 5*z - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 443, 440, 435, 428, 419, 408, 395?\n\"Answer: -u**2 + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -1\/2*w**3 + 3*w**2 + 0 + 0*w**4 - 1\/20*w**5 + 0*w. What is the derivative of c(b) wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(78)\/(sqrt(6) - sqrt(150)))**2 - sqrt(26)\/(3*sqrt(200)).\nAnswer: -sqrt(13)\/30 + 61\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -883, -7308, -24791, -58846, -114987, -198728?\n\"Answer: -919*j**3 - 15*j**2 + 53*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from {k: 1, a: 2, q: 2, s: 4, t: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 3. Suppose 0 = -2*u + h*u - 490. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -229 - 80*h + 31*h + 24*h + 26*h to the form t + d*h and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -6873052.75 to the nearest 100.\nAnswer: -6873100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/126 - (1445\/(-150) + 8).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/11)\/(s\/s**2))\/(s*s\/s**1*s)**(-1\/15) assuming s is positive.\nAnswer: s**(217\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.96999762 - -2.97. Round k to 7 dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egee when four letters picked without replacement from eedegsu.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -673 - 2*p - 819 + 1035 to o + b*p and give o.\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383575687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006191 rounded to 7 dps?\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 10*g**2 - 2. Let h be i(2). Suppose -4*k = -h - 58. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 400639459 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 488, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 j, and 1 x when four letters picked without replacement from sjjxxjxpssjj.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 126 - 94 + 132.\nAnswer: -2*d + 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*x = -2*c + 439*x + 22, -c + 35 = 13*x for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32837, 32838, 32835, 32828?\nAnswer: 32817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7 + 3)*(-f**4 + 3*f**4 - f**4) + 10*f**4 - 4*f**4 + 2*f**4.\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61707 = 9*c + 12135. Is 27 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -121*l**4 - l**3 - 104*l wrt l?\nAnswer: -1452*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*p - 28. Suppose 20 = j + p. Suppose -2*m - j = -3*m. What is the smallest common multiple of m and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-68115)\/13145 + (4 - (0 + -1))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -73*y**3 + 11*y**2 + 86*y - 11. Is h(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (1\/(-3) - (-6)\/18). Let l(m) = -2*m**3 - 4*m**2 + 8*m + 16. List the prime factors of l(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 431844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 times 189588\nAnswer: 322299.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*u**3 + 56*u**3 + 85*u**3 + 0*u**4 + 3 - 2 + 2*u**2 + u**4 to the form r + w*u**3 + l*u**4 + y*u**2 + j*u and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (176\/(-28) - -5)\/(((-1)\/(-5))\/((-14)\/35)). What is t in 0 - 6\/7*t**2 - 4\/7*t**4 - n*t**3 + 8\/7*t = 0?\nAnswer: -4, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 265952 and 731368.\nAnswer: 2925472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9453637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 12:05 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 304 divided by 76\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/21 (b) 0.3 (c) 4 (d) 7.76 (e) -2\/11 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133282 and 618?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 20 = -2*w. Let u(i) = -i**3 - 2*i**2 - 3*i - 2. Let q be u(-2). What is the first derivative of 3*t**q + 5*t**4 - w*t**4 - 5 - t**4 wrt t?\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.057402514 from -0.13.\nAnswer: -0.187402514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, i: 2, n: 3, o: 3, z: 1, w: 3}. Give prob of picking 1 o and 1 q.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3037301 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + 11001001?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -6*p + 5*p. Suppose -27*k + p*k = 6595. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876080.\nAnswer: 2, 5, 47, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*m + 10*m + 411 = -37*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -1\/6*f**3 - 2*f + 2*f**2 + 0. Let o(g) = -2*g + 5. Let v = 5962 + -5967. Calculate v*u(c) + 4*o(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14234.\nAnswer: 2, 11, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 2*g**2 + 0*g**2)*(-3*g - g + 3*g) - 28*g**3 - 8*g + 8*g + (3*g - g + 0*g)*(-5*g**2 + 9*g**2 - 22*g**2).\nAnswer: -63*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**4 + 184*r**3 + 832*r**2 + 456*r - 1476 = 0 for r.\nAnswer: -41, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 1*((-15)\/3 + (45 - (8 - 3))).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/413 and 46\/77.\nAnswer: 4543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28540043 is divided by 65.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62 + 50323\/(-882) + (-5)\/2)*-3.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 19306\/5)\/(224\/140). Let g = -2404 + a. What is the common denominator of -109\/14 and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - 64 = -4*q. Let b be (-4)\/(64\/28)*q. Solve b*p + 5 = -2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349, 357, 371, 391, 417, 449, 487?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 35 - 41 = 0. What is the remainder when c is divided by 10\/(-50) + (-202)\/(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5411605873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*5225938.\nAnswer: -522593.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c (base 13) to base 6.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1312 divided by 176.\nAnswer: -82\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432520.\nAnswer: 2, 5, 11, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 78 = 5*i, -3*i = -33*o + 31*o - 51. Let y = -815\/4 - -18637\/92. Let n = 1024\/69 + y. Is n < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*a - 106*a + 471*a)*(-50 - 30*a + 50) + (-a**2 - 2*a**2 + 2*a**2)*(-1 + 2 + 1).\nAnswer: -12842*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 5:17 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Solve k - 2*k + j = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2)**(-2\/7)*(b\/(b*b*((b\/(b*b**0))\/b)\/b))**(9\/7))**45 assuming b is positive.\nAnswer: b**(225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 + 52*t**2 - 87*t - 2264. Give a(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (9 - 2 - 18).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -401*f**2 - 400*f**2 + 288*f + 809*f**2 + 16 - 16 to the form c + v*f + z*f**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5109\/14 or -365?\nAnswer: -5109\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o - 53*o + 24*o - 6*o**2 - 119*o**3 + 10*o**2.\nAnswer: -119*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(8 + -4 + -7). Let t(m) = m**3 - 3*m**2 - m + 4. Let h be t(k). Calculate the highest common divisor of h and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 + 0.1. Let y = -96597.9 - -96598. Which is the closest to -9? (a) 3 (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6538, 12112, 17684, 23254, 28822, 34388?\n\"Answer: -r**2 + 5577*r + 962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + (sqrt(156) - ((sqrt(156) + 1*sqrt(156))*-2 - sqrt(156) - sqrt(156) - sqrt(156))) - sqrt(156))*3*2)\/(-3*(sqrt(48) - -1*sqrt(768))).\nAnswer: -8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 9 = p, 0 = -2*p - 2*c + 37 - 27 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17382 plus -1.83002?\nAnswer: 17380.16998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(72))**2*-3.\nAnswer: -214 - 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + 2 + -3*(sqrt(8)\/sqrt(4))**2) + 1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60297?\nAnswer: 3, 101, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73 and 88841.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qssqssq. Give prob of picking 2 s.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n**2*p**3 - 1536405*n**2*p*q**2 + 271*n*p**3*q - 34922*n*p**2 - p*q**2 wrt n?\nAnswer: 8*p**3 - 3072810*p*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7898832 a multiple of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*19 - (2 - (5 - 4)). Find the third derivative of 4*m**4 + 0*m**5 - 8*m**2 - 3*m**5 + k*m**2 wrt m.\nAnswer: -180*m**2 + 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26090*q**3 - 106548.\nAnswer: 78270*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 7:16 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1. Let m(z) = 6*z**2 - 6. Calculate 12*c(n) - 2*m(n).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38\/21 + 5\/3. Suppose 3*z = -5*g + 5 + 21, -g + 2*z = 0. Let q = 1.73 - 1.43. Which is the smallest value? (a) q (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 y when two letters picked without replacement from ytw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + -143\/3. Put 5, m, 3 in decreasing order.\nAnswer: 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**2 + 168*n**3 - 162*n**3 + 4*n - 1 + 2 wrt n.\nAnswer: 36*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i + 49 - 102 = -493 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1102 + 4349\/4. Find the common denominator of p and (-2 - (-71)\/(-4))\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2834 = 2321*j - 2539*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16514.42um to centimeters.\nAnswer: 1.651442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/7)\/(q*(q*q*q\/q**(1\/10))\/q*q))**24\/((q**(-2\/9))**5*q**(-3\/4)\/((q**(-2\/13)*q)\/q*q)) assuming q is positive.\nAnswer: q**(-1376503\/16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -7*y + 4*q - 15, 3*q - 12 = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + 0)*2 - (sqrt(272) + sqrt(272) + -1)*-4)**2*-5*6*3.\nAnswer: -2449440 + 28800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 111, -0.18, -5, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*c = -143*c + 550*c - 26880. Solve 2*x + 42 - c = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*t = 55*t - 25*t - 83. Calculate the highest common factor of t and 40.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 8*u**2 + 5*u + 1. What is n(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1535269\/122 - -12584. Let s = -2\/209 + 25301\/1254. Calculate the common denominator of s and a.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**4 - 10*b**3\/3 - 245. Let n(v) = -3*v**3 + 11*v**2. What is 5*n(m) + 4*u(m)?\nAnswer: m**3 + 15*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 392\/3 + 2\/9*o**4 + 58\/3*o**2 + 16\/3*o**3 - 1400\/9*o = 0. Calculate o.\nAnswer: -14, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2108\/12*(-48)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 9*w + 5. Let l be (80\/(-420))\/((-28)\/(-18)). Is l equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2) - (-2284)\/8. Let c be 6\/h*(2 + 3). Sort c, 2, -5 in ascending order.\nAnswer: -5, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 48 + 15 - 116*f**2 + 16 to the form s*f**2 + m*f + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -4, 0.4, -2\/875?\nAnswer: -2\/875","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/27)\/(3*(-30)\/54).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(-43765 + 43764 - 255*b**4 + 40*b**4).\nAnswer: 215*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r**(-3))**38\/(((r*r**0\/r)\/(r**1*r))\/(r\/(r*(r\/(r\/(r*(r**(-1)*r)\/r)))\/r)*r*r**0)) assuming r is positive.\nAnswer: r**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3665625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*p + 156, -j + 86 = 2*p - 0*p. Let g be -1 - (-2 + (2 - 1)). What is the third derivative of 42*v**2 - p*v**2 - v**5 + g*v**5 wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -807, -1643, -2477, -3309?\n\"Answer: r**2 - 839*r + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 411*z**3 - 64504*z**2 - 192237785*z + 2.\nAnswer: 2466*z - 129008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/27*(-137)\/(-959)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19590, -39172, -58754, -78336, -97918, -117500?\nAnswer: -137082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1260081256 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2\/(v\/(v*v*(v\/v**0)\/v*v*v)))\/((v\/(v\/(v**6*v)))\/v)**(9\/10) assuming v is positive.\nAnswer: v**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*p + 74. Is 20 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2036 = 3*l, 5*l = -2*j - 2*j + 3364. Let z = 1095 - l. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 5*i = 3*s + 4, i + 36 = 5*s. Let u be 2\/4 - (-12)\/s. Suppose u*l - 29 - 7 = 0. What is the remainder when 51 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 8*k - 4 = 9*k, -4 = -m + k. Solve 0 = -3*g, -f + 3*g = -m + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11289019.\nAnswer: 7, 719, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37116 and 378.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2191 * -57.\nAnswer: -124887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -16. Suppose x = -3*g + g - a, 0 = 3*g + 5*a. Solve -i - 2*i = g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 832 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p + 9. Let g = 457 - 466. Let d(l) = l**3 + 9*l**2 + l + 15. Let u be d(g). Sort 4, p, u in increasing order.\nAnswer: p, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -3, 2\/331, 364?\nAnswer: 2\/331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5 + 4368*j**4 + 218396*j**3 + 2150832*j**2 - 8536320*j = 0. Calculate j.\nAnswer: -1040, -36, -19, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 755*x**3 - 248*x**3 - 257*x**3 - 235*x**3 + 111*x.\nAnswer: 15*x**3 + 111*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence buuu when four letters picked without replacement from {u: 18, b: 2}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1472, -1639, -1764, -1847, -1888, -1887?\n\"Answer: 21*i**2 - 230*i - 1263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**2 - 10*w - 15. Suppose -8*j - 26 = 30. Is n(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, c: 1, h: 1, r: 2}. What is prob of sequence rci?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 181 - (-4 - (3 - 11)). Calculate the highest common factor of 1003 and l.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/14 + 24\/14. Suppose -4*q - p = -10. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 10387?\nAnswer: -10382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423603 = z - 423604, 2*o - 7*z + 3 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 123 + -401.5.\nAnswer: -278.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 22. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -78, -138, -216, -318, -450?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25505.\nAnswer: 5, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1900317 (base 10) in base 7?\nAnswer: 22103166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20996978269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 24 + -10 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6126, -12250, -18374, -24498?\nAnswer: -30622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4\/12 + 7*w**3\/3 - 31*w**2\/12 - 29*w\/6 = 0. Calculate w.\nAnswer: -29, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h = -1052. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 - 63. Let w be -1*(-2 + 3) + h. Solve w = z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 342310014314?\nAnswer: -342310014320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 110*m**2 + 3 - 3*m - 132*m**2 as i*m + u + f*m**2 and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3650, 3665, 3680, 3695, 3710?\nAnswer: 3725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w - 13. Let y be s(-3). Let g be (-2 + y)\/6*48. Suppose 12 + 84 = -4*l. Is l <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7350*v**2 + 2004*v**2 - 2700*v**2.\nAnswer: 6654*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + l, -5*l + 12 = -3*k - 2. Suppose 40 = -k*f + 44. Solve i + f - 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1458 + 2590. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -503667 less than 96176?\nAnswer: 599843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -2.4093\nAnswer: -7.2279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2. Let j(q) = -369*q**2 - 323*q**2 + 84*q**2 - 522*q**2 - 83*q**2. Determine j(a(y)).\nAnswer: -1213*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 13*v + 558 = 0. What are the prime factors of v?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66579 - 66576. Find j such that 0*j + 0 + 2\/3*j**2 - 2\/15*j**v = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3345420 divided by 42890?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/9 + 26*v**2\/9 + 92*v\/9 + 64\/9.\nAnswer: -2*(v - 16)*(v + 1)*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27568547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 434588?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96160 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 30*w**2 - 66*w - 61. Let m be q(-32). Solve 26*a - 23*a - m = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 4623?\nAnswer: 4614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 5*s - 6, -2622*i - 13 = -2626*i + s + 11 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 231 and 1226988.\nAnswer: 13496868","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2476375 to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**3 + 5*l. Let y(i) = -3*i**3 - 2*i + 10*i - 3*i**3. Suppose -3*z + 12 = -36. Suppose 3*k - k = -z. Determine k*b(g) + 5*y(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c - 7. Let g be m(-6). Let d be (2\/3)\/(g\/(-15)). Is 4 a factor of (-2)\/(d - (-3)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*s**3 - 5*s**3 - 36 + 19*s**3 to n*s + v*s**3 + x + m*s**2 and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6129\/4 - 1533. Which is the nearest to -30? (a) q (b) -3 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u. Let s(h) = -15*h. Calculate s(f(j)).\nAnswer: -75*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84164 and 2544.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 12:34 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/4 - 1405157*q**2\/2 - 28103065*q\/4 - 17564400 = 0. What is q?\nAnswer: -2810304, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7 (b) -4 (c) -2\/9 (d) -117.5 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 766*g**3\/3 - 772*g**2 + 678*g. Differentiate u(a) with respect to a.\nAnswer: 1532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t - 19 = -y, 3*y - 2*t - 7 = 0. Let p(b) be the third derivative of -b**6\/24 + b**5\/60 - b**3\/6 - 8*b**2. What is the units digit of p(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 222.876748 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 80472 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/2, -4, -5\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -24, -42, -62, -78, -84?\n\"Answer: m**3 - 7*m**2 - 4*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 56305, 56286, 56267, 56248?\n\"Answer: -19*p + 56324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.853 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*1)\/(33\/99)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42192923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -2 + (24 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than 38213\/6106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57050403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7) - 8\/(-28). Suppose s = -h + 4*h. Let i = h - -14. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49242980 is divided by 3248.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 559*j**4 - 365.\nAnswer: 2236*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 6*l**2 + 0 - 1 - 7*l**2 - 401*l.\nAnswer: -l**2 - 401*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 368 = -4*u, 3*u - 3*k - 209 = u. Calculate the smallest common multiple of u and 7.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1011642 + 720232 = 234*w - 1248116. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (234\/702)\/((-1)\/(-27))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(-5\/8)*(w**(5\/4)\/w*w)\/((w\/((w\/w**(-5))\/w*w))\/w*w) assuming w is positive.\nAnswer: w**(55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (96188\/1251)\/173*1\/(-6)*45\/115?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176 + 144 - 6*c + 24*c - 212.\nAnswer: 18*c - 244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1988 is divided by 560?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/3057 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44205703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 16882.3.\nAnswer: -16889.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -162*c + 210. What are the prime factors of x(-4)?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(3\/(-18)*3). Solve -o*u + 25 = -3*v, -4*v + 5*u - 40 = u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*11\/132 - (-50)\/136\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2159*n**3 - 19*n**2 + 8*n**2 + 8*n**2 + 7*n**2 - 2 - n - 5*n**2 in the form t*n**3 + m + o*n**2 + q*n and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21\/40 (b) 8 (c) -0.1 (d) 2\/9 (e) -106 (f) 2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 - 5*b)*(1 + 1 - 4)*(-12*b**2 + 0*b**2 - 4*b**2).\nAnswer: -160*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 29953650375.\nAnswer: -29953650374.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u**3 + 14*u**3 + 5*u**3)*(-1 - 1 + 7) - u**3 + 3*u**3 - u**3 + (u - u - 2*u**2)*(-2 + 2 + u) + (2*u**3 + 0*u**3 - 4*u**3)*(0 + 3 - 6).\nAnswer: 55*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3032231002 (base 4) in base 5?\nAnswer: -204043113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdh when three letters picked without replacement from {h: 1, d: 1, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*6\/(-120)*6\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6143699911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2023*i**2 - 334 + 334 - 2041*i**2.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 13*g**2 + 4*g + 46. Let h be x(-13). Let m(p) = -p**3 - p + 10. Let j be m(0). Suppose 0*v + j = -2*v. Is h less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3048417.151 and -0.03?\nAnswer: 3048417.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31.1 + 28.1. Which is the third smallest value? (a) -2\/7 (b) o (c) -0.4 (d) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k - 15. Let s be (-505)\/101 - (7*1 - 0). Calculate r(s).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(136)\/(sqrt(288) - (sqrt(288) - 2*sqrt(288))))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 13) to base 5\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 18423\/3649 - ((-218658)\/(-984))\/(-11).\nAnswer: 81\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*s - s + 35 = 0, v = s + 5. Let b = -13 + -2. Let g be -32*1*b\/v. What is g rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88699531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 s, and 2 e when four letters picked without replacement from {s: 1, e: 3, t: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 1667.\nAnswer: 833.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -15*x**2 - 12213*x + 36790. Determine y(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/1662, -1861, -0.36?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/32 + 74\/8. Let g = a - 7. Suppose 3*u + f = 32, -u - f = -6 - g. Calculate the smallest common multiple of 10 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 + 4*l - 4*l + (5 - 2 - 1)*(-3*l + 3*l - l**2) - 7*l**2 + 0 + 0)*(54 - 54 + 260*l) to r*l**2 + f*l**3 + w + c*l and give f.\nAnswer: -2860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p. Let x(c) = -c + 79. Let k(o) = -b(o) + x(o). Is 17 a factor of k(31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18 - 238*y**3 - 237*y**3 + 492*y**3 - 2*y + 2*y**2 wrt y?\nAnswer: 102*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 61103736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (10\/(-75) - 16\/5). Which is the fourth smallest value? (a) -3\/2 (b) w (c) -0.1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2765 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 5. Let o(j) = -j**2 + 2*j - 2. Suppose h = -0*h - i, 2*h + i - 3 = 0. Let k be o(h). Sort -1, y, k in descending order.\nAnswer: y, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 299 and 18446.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + -3. Let m(w) = -6*w**2 - 2*w + 2. Let h(z) = 30*z**2 + 11*z - 11. Let g(d) = o*m(d) - 2*h(d). Let s(q) = 6*q. Calculate g(s(l)).\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/1042 and 39\/20?\nAnswer: 10420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s. Let x(n) be the second derivative of -n**3\/6 - 5*n. Give x(t(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 801, 1592, 2373, 3144, 3905?\nAnswer: 4656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*a - 3108 = -963 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d**3 + 5*d**2 - 5*d. Let g(j) = -5*j**3 + 6*j**2 - 4*j. Let i(s) = -s**3 - 31*s**2 - 48*s + 294. Let y be i(-29). Give y*f(b) - 5*g(b).\nAnswer: b**3 - 10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -323233?\nAnswer: 323230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + -4*2\/4. Suppose -z = -q - 6. What are the prime factors of (-8)\/(-5)*(-10)\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -27. Let u = 14 - g. Suppose u*j = -3*t + 11, 4*t - 2*j - 36 = 2*j. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 736 in -0.2, -1, 0.4, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**3\/3 + 23*w**2\/2 + 26*w - 11. Let q be l(-22). Let d be 3 + (-48)\/(-30) + q\/10. Solve p = 2*b - 0*p - d, -1 = -p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -86, -6, -0.22 in increasing order.\nAnswer: -86, -6, -4, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**4*d + 238*c**2*d - 531*c*d wrt c?\nAnswer: -12*c**2*d + 476*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-4 - (-13 - -6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**3\/7 + 1458*s**2\/7 + 905460*s\/7 + 904000\/7 = 0.\nAnswer: -400, -1, 1130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**3*o**3*x - 2*k**3*o**2 + 717*k**3 - k**2*o**2 - 16*k**2*o*x + 4*k**2*o + 2*k**2*x - 3*o**3*x wrt k?\nAnswer: -12*o**3*x - 12*o**2 + 4302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 2. Let i be p(7). Let h = i + -3. Let l be -3 - -5 - h\/1. Is l greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 39?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**4\/16 - k**3\/12 - 7. Solve q(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16385*a*u**3 + 145104*a*u**2 + 364*a - 4372*u**5 wrt u.\nAnswer: 98310*a - 262320*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3660 times -0.17\nAnswer: 622.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 467940509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 8*f**2 + 8*f + 8. Let q(m) = 2*m**2 + 5*m - 3. Let l be q(-4). Let t be n(l). Is 13 a factor of 0 - (-2 + -23 + t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141*m**5 + 2*m + 54*m**5 + 10*m + 0*m + 3*m wrt m.\nAnswer: -1740*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10919595*b**5 + 3*b - 341711.\nAnswer: -218391900*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b - 886 = -130*b + 130478. Calculate the smallest common multiple of 30 and b.\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 4. Let r(v) be the first derivative of -v**3\/3 - 7*v**2\/2 - 11*v - 5. Let i(b) be the first derivative of r(b). Determine -6*i(m) + 11*y(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*t + 2*q, -6*t - 3*q + 26 = -2*t. Which is the third biggest value? (a) t (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 721 divided by -58\nAnswer: -721\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15873?\nAnswer: 3, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a kilometer?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**4\/6 + 3*i**3\/2 - 9*i**2\/2 + i + 2. Let v(d) be the first derivative of g(d). Is v(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 0)*(-13)\/(24 - 11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -9*m + 1422174. Let y = m - -87036. Let u = -6065 + y. Round u to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f - 4*a = 12, -916*a = -2*f - 913*a - 35 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b + 7. Calculate the remainder when w(8) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.3, 3\/4, 0.5, -234?\nAnswer: -234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - c + 14 = -32, 4*q - 100 = 2*c. Put -1, q, -3 in ascending order.\nAnswer: -3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/((1232\/99)\/(-14)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 6*p**2 + 5 + 4*p + 11*p**3 + 15*p**2 + 6*p - 16*p**2. Let v(t) = -17*t**3 - 8*t**2 - 17*t - 8. Determine -8*b(l) - 5*v(l).\nAnswer: -3*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 = f. Suppose -4*t = -t - 21. Let b(p) be the third derivative of p**4\/4 + p**3\/2 - p**2. Let g(x) = -2*x - 1. What is f*b(q) + t*g(q)?\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 283.5 - 287. Let x = i - -2.5. Sort 2, x, 1.\nAnswer: x, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/26, -2, 1, -1\/4 in decreasing order.\nAnswer: 1, 15\/26, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1176581727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -329\/10. Let u = -14 + 4. Let s = u + 9. Which is bigger: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-52)\/(-4) - (-210)\/(-21). What is the highest common factor of 8 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -387, -788, -1185, -1578?\n\"Answer: 2*h**2 - 407*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5186 (base 10) to base 2.\nAnswer: -1010001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 11:02 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40639\/8 - -5071. Calculate the common denominator of -58\/3 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1142 by -7.\nAnswer: 1142\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 * 2359131\nAnswer: -4954175.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/6)\/((-6)\/12). What is the second biggest value in a, 2\/15, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/95 and 65\/152.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 103*i**2 + 2*i - 2. Is 29 a factor of j(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -31770, -51345, -70918, -90489?\n\"Answer: h**2 - 19578*h - 12193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * -1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11112 + 80*c**2 + 11105 + 2*c - 22207 to w + u*c + b*c**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 3*s**5\/16 - 177*s**4\/4 - 71*s**3\/2 + 1964*s. Factor l(f).\nAnswer: 3*f*(f - 142)*(5*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*w - 7 = -26, z + 17 = 4*w. Let o = z - -17. Let g = -6 + o. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -2. Let z be ((-1)\/(-3))\/(g\/6). Let j be (640*3750)\/(z\/2). What is j rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(13) - ((sqrt(208) - (sqrt(208) + 0) - sqrt(208)) + sqrt(208))**2) - (-2 + sqrt(13)*-2).\nAnswer: 2 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - u. Let f(c) = 7*c**3 + c. Determine f(q) - 4*h(q).\nAnswer: 3*q**3 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 77*456\/1197*(-6)\/(-8)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11 - -7)*(-1)\/6. Let p = 63 + -188\/3. Sort p, i, 0.4, -2\/3 in descending order.\nAnswer: i, 0.4, p, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(6\/17))**6)**(-4\/11) assuming z is positive.\nAnswer: z**(-24\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 446307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 4*p**2 + 1\/6*p**3 + 0 + 0*p - 1\/3*p**4. Let s(o) be the second derivative of -o**3\/3 + 4*o. What is 9*s(h) - 2*z(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1229769 and 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 9, 24, 55, 108, 189?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89415 to the power of 1\/2, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-44)\/5*(-60)\/(-8). Let f = 332\/5 + j. Solve 4\/5*y**3 - 2\/5*y - 2\/5 + 4\/5*y**2 - f*y**5 - 2\/5*y**4 = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, l: 2, q: 4}. Give prob of sequence qvl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.23658 weeks to microseconds.\nAnswer: 56994283584000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8725056 is divided by 6259.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3084.690874 rounded to one decimal place?\nAnswer: 3084.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 32379000\nAnswer: 32379000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 6*a + 16. Suppose -j + 2*j + 14 = -x, -17 = x + 2*j. Let y = 13100 - 13098. Let h(n) = n + 3. Determine x*h(i) + y*f(i).\nAnswer: -2*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-2)\/(-4)*24. Suppose 4*u + d = 6*u. Suppose 0 = u*l - l. Put -8, l, -3 in descending order.\nAnswer: l, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 2 (c) -0.6 (d) 36 (e) -4.245\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 967611?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5*k + 12, -4*k + 14 = -2*a - a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*c - 17, 35*c - 39*c + 4*f + 32 = 0. Let m(x) = 135*x**2 + 8. Let q(b) = -90*b**2 - 5. What is c*m(w) + 8*q(w)?\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-8)*t*t**4)**(-33) assuming t is positive.\nAnswer: t**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2797 = -2*c, -3*q + 4*c = 6*c - 8371. Let z = -9197 + q. What is z rounded to the nearest one hundred?\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 502603, 0, -1 in descending order.\nAnswer: 502603, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*a**3*g**3 + 59550*a**2*g**3 + 28*a*g**3 + 837*a + g**2 + 6 wrt a?\nAnswer: -114*a*g**3 + 119100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**4\/u**(-2\/17))**(-1\/13))**(1\/3) assuming u is positive.\nAnswer: u**(-70\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - 4) - 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.076819*-2.\nAnswer: 0.153638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5137 is divided by 564?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 + 4 + -9 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 84814.48 litres?\nAnswer: 84814480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-8)*(1 + -3). Let q = -171 + 175. Put d, q, 0, 5 in descending order.\nAnswer: 5, q, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (2 - -3) - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z - 22 = 32*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 + 85. Suppose 6*d - x = 8. Let m(h) = 40*h + 1. Let o be m(1). Solve -4*a = -5*n - o, -2*n + 8 = -d*a + 30 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262705?\nAnswer: 5, 52541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2107 is divided by 111.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187 and 102?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -13 + (14 - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*g*g)\/g**3*(g**(-2\/9))**(-2\/3) assuming g is positive.\nAnswer: g**(-77\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {w: 11, j: 9}?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 3*w + 23, -8 = -3*t + 5*w + 2. Let b(u) be the first derivative of u**3\/3 - 5*u**2\/2 - 4*u + 7. Determine b(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26395 + 0*z**3 + z**3 + 30366 + 50908.\nAnswer: z**3 + 54879","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220\/7 + 2\/7*m**2 - 6*m = 0.\nAnswer: 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4*p**3 - 1 - 5*p**3 + 4 + 5*p to j*p**2 + i + t*p + q*p**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8*k**2 + 7*k - 9. Let i(m) = -4*m**2 + 3*m - 4. Give 9*i(n) - 4*o(n).\nAnswer: -4*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1311 - 502 = 116*h + 159 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 164410357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 2:31 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1257526*u + 2*u**3 - 1257526*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**2\/4 - 38283*f\/2 + 2462400 = 0.\nAnswer: -25650, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j*k*q**3 + 7*j*k*q**2 - 3*j*k*q - 3*j*k + 2*k*q**3 - 12 wrt q?\nAnswer: -12*j*k*q + 14*j*k + 12*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207 and 121003.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427425513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42*p**3 + 8*p - 1007.\nAnswer: -126*p**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4*6\/((-252)\/7)*-9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) -0.3 (b) 1\/4 (c) -5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5839785?\nAnswer: 3, 5, 7, 18539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 6 = 11*l. Suppose 2*w = l*j + 86, 3*j + 205 = 5*w - 8. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 6*f**2 - 4*f + 1. Let k be l(-5). Let g = k - -37. Calculate the greatest common divisor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = 4*v + 4*d + 12, 25*d + 5 = 20*d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**5\/60 - x**4\/24 + 5*x**3\/3 + 3*x**2. Let r be p(0). Solve 0 = 2*b + r, -2*b - 24 = 3*d + b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2054 = 457*v - 231 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1833013 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-10 - (11 - 12))) + (-3 - -37).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a - 4*a + 4*a. Let m(o) = 441 - 5*o - 441. What is m(n(d))?\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -3. Solve 0*c - 15 = -g*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q - 27*q + 2 = 0. Is (-18 + 19)\/(q\/19163) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/362470 and 23\/1675?\nAnswer: 1812350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 36430*o**2 + 364209*o + 327780.\nAnswer: (o + 1)*(o + 9)*(o + 36420)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3220223 (base 4) in base 2?\nAnswer: 11101000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237214128 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -538158.99895 - -538196. Let z = t + -37. What is z rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 3*f**2 + 5*f + 4. Let v be s(-4). Suppose -4*x + 2 + 10 = 0. Suppose 0 = -x*m - v*m + 3. What is the greatest common factor of m and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**11)**(-28))**(-26) assuming i is positive.\nAnswer: i**8008","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 84 + 109 = 0, 0 = -14*t + 4*s - 62 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-17)\/(-20))\/(162\/675) and 143\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -526 - -531. Suppose 5*g - 2*a + 2 = 0, 0 = -g - 0*a + a + 2. Let u be g\/(-11) - 31\/(-11). Solve 4 = u*h - p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -3, -0.3, -4, -0.1428?\nAnswer: -0.1428","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(0 + (-2)\/4). Let r = 6 + 9. Calculate the least common multiple of ((-18)\/r)\/(n\/30) and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -11 (b) -0.1 (c) 1133\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 415 divided by -838.\nAnswer: -415\/838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42.21 - 37.21. What is the nearest to 1 in -1\/8, 1, -2\/7, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 - 6*l**3 + 6*l - 3*l**2 + 6*l**2 - 7*l**2.\nAnswer: -2*(l - 1)*(l + 1)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 40 = -8*j. Suppose -3*b - 2*w = -15, -3*b + 4*w - j = -0. Factor 35*f**3 - f**4 - b*f**4 + 45*f + 75*f**2 + 9*f**4.\nAnswer: 5*f*(f + 1)*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6282*h**2 - 6148?\nAnswer: 12564*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26294 is divided by 1749?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u - 3*l = 26*u - 7321, l = 4*u - 29232. List the prime factors of u.\nAnswer: 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*r**3 - 172*r**3 + 445*r**3 - 101*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-15)\/2)*(-335)\/201.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*i = 4*i - 28, 5*o + i - 23 = 0. Solve 10 = o*v - 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*(-18)\/(-594)*(-5)\/(-10)*39.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 4*o + 116. Let a(j) = -j**3 + 2*j**2 + 6*j - 116. What is -2*a(v) - 3*r(v)?\nAnswer: 2*v**3 - v**2 - 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -19.17. Let y = 0.03 - t. Let u = 0.04 + y. Is u bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2. Let k(f) = -1. Let h(t) = -10*t - 50. Suppose 5*a - 350 = -2*a. Let y(i) = a*k(i) - h(i). Calculate y(z(q)).\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 27. Solve -2*k - 10 = t*v, 4*k = -2*v + v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 467.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q**2 + 2*q**2 + 0*q**2)*(-29*q - 3*q + 63*q) to the form d*q**2 + n + h*q + j*q**3 and give j.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Let l = 2 - w. Let q = l + -2.5. What is the closest to 0.1 in q, 1, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*g - g. Suppose -4*i - 2*n = 10, -n + 2 = 5*i + 7. Suppose v - 3*v + g = i. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(130)\/sqrt(40)*-3*6 + 1 + -2*3*sqrt(637) + 3.\nAnswer: -51*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.537 rounded to one decimal place?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/89606 and -39\/65168.\nAnswer: 716848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(-1)*g*g))\/g**(-1\/3)*g**(1\/17)*((g\/g**37)\/g)\/g assuming g is positive.\nAnswer: g**(-1867\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349.\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 1878 - 198. What are the prime factors of h?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -24*m**3 - 2*m**2 - 5*m - 25. What is x(0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14921641.\nAnswer: 7, 23, 92681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4527)\/8)\/((-66)\/572) - (-3)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 4)*(-2 + 0 + 4)*(4 - 1 - 1)*(-17 + 43 + 87)*(0 - 1 - 1)*(-3*q - 5 + 5) to the form x + y*q and give y.\nAnswer: -5424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -651 + 655. Which is the second biggest value? (a) -3\/80 (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 881, 6, -2 in ascending order.\nAnswer: -7, -2, 6, 881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/((-85)\/(-14) + -6). Put -1, 2, 4, f in increasing order.\nAnswer: -1, 2, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4280 rounded to the nearest 100?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 - -44. Let f = 29 + -2. Calculate the remainder when (1605\/(-6))\/s*(-2)\/(-1) is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + (sqrt(320) - -4*4*sqrt(320))))**2 + 1.\nAnswer: -6800*sqrt(5) + 2312026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsxf when four letters picked without replacement from fxfjsxxx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 e when four letters picked without replacement from eeeexexeeeee.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 14.96. What is the biggest value in p, -2, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 7 = -119*l + 120*l, 4*l - 18 = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 8*i**2 + 7*i + 4. Let l be t(7). Let o(y) = 3*y - 6. Calculate o(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - 4.45. Let c = 5 + i. Round c to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -132, 41, 3, 0.\nAnswer: -132, 0, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1620 + 1622. Let q(p) = 8*p**2 + 3*p - 5. What is q(u)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 662 (base 11) to base 9.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -529*o + 3190. Calculate v(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 642 = -5*t - 203. Let u = -54 - t. List the prime factors of 92\/u - 632\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1916)\/(-11) - 8\/44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-2)*8\/(-6). Let l be (-4)\/(-6) - (-20)\/m. Suppose 0 = -d + l*k + 3, d + 0*k = 3*k + 5. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5 + 0 - 3 + 2 + 13*q. Does 16 divide f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 1. Suppose -2*o + 2*g = -0*g, -2*g = 6. Let b be (o - 1) + (4 - 2). Sort b, f, -1 in decreasing order.\nAnswer: f, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25277 is divided by 3379.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 321, 306, 291?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 9*d**2 - 8*d + 24. Let v be i(-10). Suppose -2*c + 6*c - v*l + 12 = 0, 5*l = -c - 33. Sort -0.1, -5, c in ascending order.\nAnswer: c, -5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 19*z - 74. Determine t(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -153 + 138 + 9.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 821263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 (base 12) in base 15?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + (sqrt(275)*2)\/sqrt(5))*-3)\/(3*(sqrt(1100) + sqrt(1100)*-2)).\nAnswer: 3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3656*y - 3654*y = 4*h + 116, -11*h - 3*y = 285 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.36, 5, 0.3 in increasing order.\nAnswer: -0.36, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23262, -23507, -23752, -23997, -24242?\n\"Answer: -245*q - 23017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9660 * 0.238.\nAnswer: 2299.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/6)\/(-24 + (-188)\/(-8)). Which is the smallest value? (a) -0.011 (b) h (c) -5 (d) -2\/3 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 17*z - 77. Give w(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 5*t + 5*t + 2*t - 6*t + 2*t + (3 + 1 - 2)*(t + 3*t - 2*t) - 6*t + 4*t + 4*t + 6*t - 2*t - 3*t + (1 - 3 - 3)*(-5*t + 2*t + 2*t).\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t + 52. Let p(y) = 5*y - 20. Let w be p(7). Calculate the remainder when g(w) is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 7:18 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 2*f - 3*f)*((0 - f + 0)*(0 + 4*f + 0) - 4*f**2 + 0 + 0 + f**2 - 5*f**2 - 12 + 11).\nAnswer: 24*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 + -79. Suppose -4*h + 4*f = -240, -3*h - 2*h + t*f = -292. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 2 + 2 + 6 - 6 - 5*o + (0 + 2 + 0)*(-2*o - 3 + 3))*(-2 - 1 - 1)*(-4 + 4 + o**2).\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 562511 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6)*u*u**(-6)*u**3\/(u**(1\/4)*u)*(u\/(u*u\/u**0*u))**47\/(u**1)**23 assuming u is positive.\nAnswer: u**(-505\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-77 - 0) + 3. Let y = 63 - b. Suppose -l + y = 5*g, 0 = 2*g + l - 4*l - 42. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-4)*34*22\/374\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2*6)\/3 - (-18 + -5). What is the highest common factor of 54 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-10)\/75 + (-1937)\/(-15) + 2 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000126279 to 6 dps.\nAnswer: -0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.33 (b) -2\/433 (c) 1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1054\/244 - 4)*(-33)\/(-324)*-2 and 1\/854.\nAnswer: 15372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -340773, -340782, -340791, -340800, -340809, -340818?\nAnswer: -340827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 18*d + 44. Let u be g(-20). Let x = 514 - 513.733. Let i = x - -0.033. Which is the nearest to 2? (a) u (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + (sqrt(1008)*-1*6 - sqrt(1008)))\/((sqrt(9) + 3*sqrt(9))*4*5))**2*6.\nAnswer: 189\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 2. Let p(m) = -2*m**3 - 2*m**2 + 4*m - 3. Determine 3*a(i) + p(i).\nAnswer: -2*i**3 - 2*i**2 + 7*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/142036 and -41\/4.\nAnswer: 142036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + 15*y - 1. Let s be x(-9). Let m = s - -33. What are the prime factors of m?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12396823 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 75297 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 2583*d**2 + 1268*d**2 - 1335*d**2.\nAnswer: -2650*d**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -99, -54, 59, 270, 609, 1106?\n\"Answer: 5*m**3 + 4*m**2 - 2*m - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7 - 5.7. Let w be 8\/((-2)\/(-1))*-1. Let r be 3*(w - (-16)\/3). Which is the closest to -2? (a) q (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9485 (base 10) to base 4.\nAnswer: -2110031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -146*v + 163*v - 652596. List the prime factors of v.\nAnswer: 2, 3, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9355591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2270 - 1943. What is the highest common factor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-13 - (2 - 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6918646?\nAnswer: 2, 7, 29, 17041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -9*o + 7. Let f be u(6). Let s = -29 - f. Solve -2*q - 2*q + 6 = -5*i, 3*i - s = -3*q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11616 + 2210. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 20*p. Let a(o) = -7*o. Let f(b) = 17*a(b) + 6*l(b). Let u(g) = -g**2 - 5*g. What is 10*f(d) + 2*u(d)?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1349.1 - 558.4. What is m rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -3*h - g, 2*h + 2*g = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q - 9 = -18*q. Suppose 0 = q*r + 2*r. Sort -1, 2, r in decreasing order.\nAnswer: 2, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22.88 in 3\/4, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*k. Suppose -f = k, -3*f + 775 = 5*s - 0*f. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 25 = 3*w + d, 15 = -3*w + 3*d. Let p = -15175\/4 + 3814. What is the common denominator of (-7)\/w*1026\/126 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*m = -m - 8*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(1\/5))\/(c\/c**0))\/((c**1\/c)\/c**(-6)))\/(c\/c**(-2)*c\/c**(-1\/4))**(31\/3) assuming c is positive.\nAnswer: c**(-3007\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1279456 is divided by 26108?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 0 - 1 + 2 - 4*o. Let m be f(-1). Let z = -2842 - -2843. Let w(t) = -4*t + 2. Let l(i) = i - 1. What is m*l(c) + z*w(c)?\nAnswer: c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 174*f**4 + 61*f**2 - 590088 + 590088 wrt f.\nAnswer: 4176*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, 1\/2, 32, 0.2 in descending order.\nAnswer: 32, 10, 1\/2, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + v - 14 + 34 = 0, 0 = 4*v. Suppose 5*j + 3 = -f - 0, k = 2*f - j. Let c be 1 - (2 - 1\/3). What is the nearest to f in -0.2, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 10 - (-16 - -23).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q + 5*p - 321 = 0, -5*q + 2*p - 61 = 1 + 49 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4752 and 13200?\nAnswer: 118800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 476 - 146. Suppose -61 - x = 2*a. Let g = a - -99. What is the greatest common factor of 78 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1299\/30*12 - 18\/30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(((n*(n*n**(-4))\/n)\/n)\/n)\/n*n)\/n**(-1\/10)*(n*n*n\/((n**(2\/7)*n)\/n))**32)\/(n\/n**(-6)*n**(3\/2)\/n*n*n**(-1)*n**(-6)) assuming n is positive.\nAnswer: n**(2851\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*c - 10 = 48*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17264809 divided by 6?\nAnswer: -17264809\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -7908 at least -7911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/11 + 450*g**3\/11 + 26814*g**2\/11 + 166334*g\/11.\nAnswer: 2*g*(g + 7)*(g + 109)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 2 - 3 - 3*k - 45.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 1 + 5 + 0 - 4 + (2 + 0 + 0)*(4 - 2 - 1) + 1 + 3 - 2 + 2 + 1 - 5)*(-4*y + 2*y + 4*y)*(3*y - y + 0*y) in the form b + k*y + v*y**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -40*q - 4. Let l(p) = -10*p - 1. Give -9*l(s) + 2*v(s).\nAnswer: 10*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2 and (-15)\/(-20) - 13\/40*-14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93249072 and 562080?\nAnswer: 932490720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r + 1. Let i = 9 - 7. Suppose -i*m - 8 = 2. Suppose 0 = -t + 3. Let w(x) = -3*x + 2. What is m*q(u) + t*w(u)?\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2460)\/(-280) - 4\/14 - 9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2))**(1\/7)*((i**(-1)*i)\/i)**(1\/6))**48 assuming i is positive.\nAnswer: i**(-152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162951457.\nAnswer: 162951457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 0*k - j = -13, 0 = -3*k - 2*j + 22 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10014023021 (base 5) to base 7.\nAnswer: -150133652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*((-6)\/32*-6)\/(57\/(-76)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o. Let p(h) = -24*h - 137. Calculate p(t(k)).\nAnswer: 168*k - 137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w + 8. Let t be k(16). Let m be (252\/t)\/((-1)\/(-6)). Let v = 1 - m. What is the remainder when v is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4361*m*r**3 + 36*r**3 - 20*r**2 + 2 wrt m.\nAnswer: 4361*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -135.0122 and 322.\nAnswer: 186.9878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 24704.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 14*g**2 - 12*g + 16. Let t be o(-13). Suppose 0 = 5*c - 12 - t. Solve 12 = -3*u - c*d + d, -4*u - 2*d = 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 6*h**2 + 3*h - 5. Let j = -90312 - -90360. Calculate the remainder when j is divided by u(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -3, -1, -825, 5.\nAnswer: -825, -5, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/72*0\/4. Suppose -7*y + 4*y + 11 = x, n = -y + 5*x + 9. Let q = -2.9 - -3. Which is the second biggest value? (a) -1 (b) y (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29772 and 1113194928?\nAnswer: 9924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(132)\/sqrt(4) + (sqrt(2673) - -2*sqrt(2673)) + sqrt(33))\/((sqrt(243) - ((sqrt(243) - 1*sqrt(243)) + sqrt(243))*3) + sqrt(243)).\nAnswer: -10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 1:42 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -244.94 - -245. Let r = 6\/325 + 1884\/3575. Which is bigger: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 8. Let p = w + 37. List the prime factors of p.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(126)\/sqrt(7)*-4)\/(3*sqrt(96) - sqrt(864)\/sqrt(9)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 52. Let v(n) = -2*n**2 + 3*n - 3. Let q be v(2). Let r = q + j. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**8\/420 - v**7\/70 + 2*v**5\/15 + 4*v**3\/3 + 3*v + 13. Let p(c) be the third derivative of d(c). Factor p(a).\nAnswer: -4*a*(a - 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00432394 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 + -104. Let u = -33 + 52. Let v = i + u. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + p, -c - 12 = -4*p + 3. Put c, 5, 30, -3 in decreasing order.\nAnswer: 30, 5, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -949697 + g**2 + 474824 + 474873.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1437 - 1437. Let n(w) be the second derivative of -3\/20*w**5 - 2\/7*w**7 + 0*w**3 + 0*w**2 + 0*w**4 + q + 1\/2*w**6 + 12*w. Find r, given that n(r) = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.255 - 1.365. Let r = 3.89 - g. Which is the second smallest value? (a) r (b) -1 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -30 - (-5 - 13 - -6)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-6))\/(6\/(-8)). Suppose -3*v = k, d*v + 15 + 70 = 5*k. Let s = -3 + k. Calculate the smallest common multiple of 20 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 2*c - 148. Solve c*h - 9 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -241, -243, -245, -247, -249?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 344216 + -217797. Is u 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 {g: 1, a: 2, c: 1, n: 1, s: 3, o: 4}. What is prob of picking 3 n and 1 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2771805 and 743655?\nAnswer: 30489855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -25362\nAnswer: -10144.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m + 12. Let i = -2 - -4. Suppose i*x = -m*x + 35. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -24*f**2 - 518*f - 924. Calculate r(-20).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14393.83617 rounded to the nearest 10?\nAnswer: 14390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4318 + (-216)\/12 + 5 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22947.0423 + -22946. Let p = q - 0.0423. Which is the closest to -1\/4? (a) -5 (b) p (c) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085321 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -67551000 to the nearest 1000000.\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p - 41. Determine x(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -6303, -0.074 in descending order.\nAnswer: -0.074, -2\/7, -6303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749 is divided by 184.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*b*w**3 - 35700*b*w**2 - 122*w**3 - 3*w + 573 wrt b.\nAnswer: 10*w**3 - 35700*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/9 or 2047?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26922 - -26918. Let q(y) = -y**2 - 9 + 0*y**2 - y - 5*y. Give q(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 + 4 - 9*h**2 - 11*h + 5*h**2. Let u be k(-11). Solve 0*r = u*r + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -749 in 3\/5, -2\/11, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*c**3*u**3 - 2*c**3 + 13*c**2*u - 11*c*u**4 - 7 wrt u?\nAnswer: -42*c**3*u - 132*c*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4851 = -12*l + 243*l for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/332 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8807000 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 571 + -570.993. Let q = u - 5.007. Which is the nearest to -0.05? (a) 1\/5 (b) 0.1 (c) q (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6 - 6 = 0. Let g(m) be the second derivative of 0*m**s - 1\/6*m**4 - m + 0*m**2 + 0. Let d(f) = -f. What is d(g(o))?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/9 - 4516*g**2\/9 - 502*g.\nAnswer: 2*g*(g - 2259)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 + -0.7. Put t, -0.3, -6\/13 in decreasing order.\nAnswer: t, -0.3, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-3)\/(2 - 8)). Let d = 10 + j. Let u = d + 0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.3 - 3.2. Which is greater: b or -0.01?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2. Let z(s) = 42*s**2 - 26*s + 4. Calculate z(r(b)).\nAnswer: 378*b**4 + 78*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -147ba (base 12) in base 11?\nAnswer: -1a700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 4*l = k - 13, -3*k = -12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -2. Let x be (-70)\/t + -2 + 0. Suppose 0 = -0*v - 5*v - 4*h + 87, 0 = -3*v + 4*h + x. What is the remainder when v is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 23*y - 7. Let c(a) = 46*a - 15. Let n(t) = -3*c(t) + 7*d(t). Let v be n(4). Let u = 37375 - 37364. What is the highest common divisor of u and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -8*g + 5*o, -126004*o + 20 = 4*g - 126000*o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-31)\/(-62))\/(1\/6). Let b(d) be the first derivative of 0*d + 1\/3*d**3 - 2*d**2 - n. Give b(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 648.4915 centuries?\nAnswer: 64849.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w**2 + 3*w - 9. Let y(l) = l + 26. Calculate the remainder when j(2) is divided by y(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - w**2 - 1. Let q(d) = 105*d**3 - 84*d**2 - 84. What is -84*a(g) + q(g)?\nAnswer: 21*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1026\/(-342))\/((-3)\/(-12)*7)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3\/2 (b) -0.58 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8 - 3 = 0. Let o = 8 + -11. Let d = 8 - 5. What is the second biggest value in m, d, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12523 and 3374054.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from odrohks?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.3, 5, 6722, 2\/21 in ascending order.\nAnswer: -0.3, 2\/21, 1, 5, 6722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*o - 78*o - 5*y = 10, 0 = 4*o + 3*y + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -242 by -3.\nAnswer: 242\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 - p**4 + p**4 + (-1 + 0*p + p + 0*p)*(p + p - p)*((3 - 3 - 4*p)*(-52*p + 177*p + 68*p) - 4*p**2 + 2*p**2 + 0*p**2).\nAnswer: -775*p**4 + 774*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -124896 divided by 5\nAnswer: -124896\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -227.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9*q = 5*s - 15, 0 = -3*q. Let d(j) = 99*j**3 - 6*j**2 + 9*j + 3. Let k be d(3). What is the derivative of -9*a**s + 2649*a**2 - k*a**2 - 6 wrt a?\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1781 and 69733?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32099233037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*2*((-51)\/(-6))\/(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -221 - -223. Let y be 5 - (n\/(-5) + 17\/5). Solve h + 1 = -y*q + 9, 4*q - 8 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 6*r)*(-1 + 3 - 3) to the form u*r + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(10\/3) - (-2)\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41 and 8.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 25 = -92*l, -3*p - 72*l + 77*l = 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/25)\/a)\/a*a)**(-22) assuming a is positive.\nAnswer: a**(572\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*u - 65*u - 1064 = 3*c, -764 = -3*u - 2*c. Calculate the remainder when 1483 is divided by u.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sllllsl. Give prob of picking 2 l.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 374 - 5956?\nAnswer: -5592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m + 5. Suppose 39*g + 46*g = 340. Let c(p) = -p. Let d be c(3). Sort g, 3, m, d in ascending order.\nAnswer: d, m, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)*z\/(z**(-1\/11)*z))\/(z**(-1)\/z)**(4\/7)*((z*z\/(z**1*z))**(-44))**(10\/9) assuming z is positive.\nAnswer: z**(-213\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 30*n**2 - 7*n + 9. Let v be s(3). Suppose -v*w = -257*w - 43800. What is w rounded to the nearest one thousand?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/229?\nAnswer: 2\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-20))\/(4\/(-16)*60\/(-180))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/6 - ((2 - 1) + 6233\/(-1)). What is the highest common divisor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(1\/6)\/k))\/k)**10\/(((k*k**(-8))\/k)\/k*k*k*k*k**(-3)))**(-3\/4) assuming k is positive.\nAnswer: k**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 401, 1615, 3639, 6473?\n\"Answer: 405*g**2 - g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 51 = 17*q. Let y be -62 + 60 + (-2)\/4*q. Let n = -0.42 - -0.02. What is the second biggest value in y, -0.05, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3 - 1. Let c = -4 + 6. What is the second derivative of 2*g + 0*g**2 + g**o + 2*g**c wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18189.51069 to 1 dp.\nAnswer: 18189.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 136*v. Let w(o) be the first derivative of 2*o**3\/3 + 91. What is a(w(n))?\nAnswer: 272*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = x + 3*x. Suppose -3*w + x*w = -4. Suppose c**3 + 4*c + 2*c**4 - w*c**3 - 2 - c**3 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152 (base 7) to base 14\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10681*i**3 - 10815*i**3 + 21420*i**3.\nAnswer: -76*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - (-1 - 1)) + -8 + (3 - 4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-15))\/((-37)\/(4440\/36))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -23120 - 55*s**2 - 10*s + 23120 in the form x*s + k + b*s**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3770?\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2582121l in millilitres?\nAnswer: 258.2121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**7*q*(q\/q**(-1\/3))\/q)**(-6\/13))**24 assuming q is positive.\nAnswer: q**(-1200\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 2348*a - 2350*a + 58, -4*h - a = 36 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.040228 nanoseconds in hours?\nAnswer: 0.00000000001806673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134581*j**3*l - 11*j**3 - j**2*l - 33*j**2 - 4326080*j - 37*l wrt j.\nAnswer: -807486*j*l - 66*j - 2*l - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 105\/28*(-8)\/3. Let l(i) = i**3 + 9*i**2 - 10*i - 1. Let x be l(r). Put x, -3, -5 in descending order.\nAnswer: x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5 + 0 = 0. Let p(j) = j**3 - j - 1. Let n(l) = 3*l**4 + 3*l**3 - 3*l - 1. Let t(x) = a*n(x) - 3*p(x). Differentiate t(i) with respect to i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m = -2*m - 30 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from fngffll?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -13*o**3 + 24*o**2 - 17*o + 7. Let w(i) = -25*i**3 + 48*i**2 - 30*i + 13. Give 7*v(r) - 4*w(r).\nAnswer: 9*r**3 - 24*r**2 + r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aal when three letters picked without replacement from ieaievavvvaaeevlv.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -41*w + 33*w. Let c(k) = -k - 2. Let d be c(-5). Solve -2*o + 4*b - 22 = 0, -d*b = -7*b + w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5\/5 + 9564*r**4\/5 + 34542*r**3 + 86400*r**2 = 0. What is r?\nAnswer: -15, -3, 0, 4800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1212 is divided by 174.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90474 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**2 - 30*t + 33. Let o be d(22). Solve l + 3*g + 1 - o = 0, 0 = l - 4*g + 22 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6\/o)**(3\/19)\/(o\/(o\/(((o*o**8)\/o)\/o))*o\/o**6) assuming o is positive.\nAnswer: o**(-23\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-3\/2))\/q)\/((q**(-2\/91)\/q)\/q) assuming q is positive.\nAnswer: q**(95\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6891 greater than or equal to 7323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (246\/9)\/((-2)\/(-108))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 5, -9, 9.\nAnswer: -9, 5, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1747724 divided by -11132\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (1 + sqrt(288))*-3) - (0 + (0 + sqrt(288) + 1 - sqrt(288)*-1*4))**2.\nAnswer: -7207 - 228*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**5\/7 + 22*m**4\/7 + 6*m**3\/7 - 62*m**2\/7 - 44*m\/7 = 0.\nAnswer: -1, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011011011001000111 + 1110?\nAnswer: 1001011011011001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77443 - -77438.1983. Let b = 4.8 + k. What is b rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 1. What is the smallest common multiple of x(-3) and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-2)\/sqrt(8)*1 + (5 + sqrt(17)*3)*3)**2 + -4.\nAnswer: 210*sqrt(17) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -42 + 127 - 40 - 45 - 716*p. Let m(x) = 2*x**2. Give c(m(l)).\nAnswer: -1432*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1799\/257 - 1\/((-3)\/(-42))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 7:17 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 26 = -5*l + 57, 5*w + 4*l = 19 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (-12)\/(-66) + 324\/(-88). What is g in -9\/4 + q*g**2 - 3*g - 1\/4*g**4 + g**3 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11316?\nAnswer: 2, 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 42*y**3 - 8*y**2 - y + 18. Let w(u) = -4*u**3 - u**2 + u. Let t(n) = -r(n) - w(n). Find the third derivative of t(p) wrt p.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 6 - -4)\/(35\/(-14))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18706 - 11450. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*c + 18 = 3*c, -g + 4*c - 13 = 0. Suppose 3*x = 2*l + 130, 4*l - 118 = -3*x - 378. Let u be (-50)\/4*26\/l. Sort u, g, 28 in decreasing order.\nAnswer: 28, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 401111490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**2 + n**2 - 2*n**2 as p + m*n**2 + l*n and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 4. Suppose f - i = 3*f - 5, 20 = 4*f + 4*i. Let s = f - 1. Let c = -10 + s. Let x(z) = -6*z + 21. Determine c*a(v) + 2*x(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 - 13*i - 5. Let f(z) = -16*z**2 - 100*z - 40. Let m(q) = 3*f(q) - 23*y(q). Calculate m(-7).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkw when three letters picked without replacement from kgktww?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1942 or 1939?\nAnswer: 1939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*u + 18416 - 4*u - 18412 + 0*u**2 - u**2 - u**2 + 6*u**3 to x + p*u**3 + w*u**2 + r*u and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1749 or 26?\nAnswer: 1749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 132 = -r + 2*l, -3*l = 4*r - 597. Calculate the greatest common factor of 21 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3, 0 = 5*i - 2*m + 6*m - 67. Calculate the remainder when 17 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3771, -0.4, -14?\nAnswer: -3771","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 + 14*h + 19. Let j be t(-5). Which is smaller: j or -2\/4553?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54192374?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 p when two letters picked without replacement from {p: 4, h: 1, y: 5, q: 3, g: 4, b: 1}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -827*m + 3842 = 74*m - 5168 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 9 - 5)*(6*i - 5*i + 6*i) to n*i + l and give n.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2. Let k(y) = y - 3. Let c(q) = -3*q**2 + 4*q - 12. Let z(l) = -3*c(l) + 12*k(l). What is z(o(v))?\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 20704*z + 1. Let y(b) = 9*b + 5. Determine n(y(u)).\nAnswer: 186336*u + 103521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 980*d - 985*d = 4*c - 20, 0 = 3*d + 3*c - 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -41, 1, 131 in descending order.\nAnswer: 131, 6, 1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 386369630 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 7*k. Determine v(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-3)*(210\/(-55))\/2 and -58\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 32 = -211. Let u = 316 + t. What is the greatest common divisor of u and 365?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 4*a. Let p(i) = -2*i**2 + 3*i. Let z(q) = -4*p(q) - 3*v(q). Let y(f) be the third derivative of f**4\/4 + 65*f**2. Calculate z(y(s)).\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4077.4 + 4077. Suppose -v + 4*k = -4*v - 12, -4*v = -k - 3. Suppose -u + 3*g + 8 = v, 0 = 5*u - 3*u - g - 11. Put u, 1\/2, a in increasing order.\nAnswer: a, 1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. Let x be (z\/(-3))\/(21\/9). Let v = 287 + -287.4. Sort -2, x, v in decreasing order.\nAnswer: x, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 52513*v + 1207802. Calculate g(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 649*k**2 + 7389*k - 1415. Give a(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3088502377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -616 (b) -1\/5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 5:14 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((4 - 1) + -2)*2. Suppose 0 = x*a + 2*a + 60. Let w = a + 21. Which is smaller: 7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -6*m + 23. Calculate the remainder when 45 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from aamossmmmassaam?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**3 - 16612*b**2 - 33380*b + 581700 = 0. Calculate b.\nAnswer: -7, 5, 4155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/((-1)\/6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*578.6.\nAnswer: -57.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 11:53 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 90*x - 43*x + 14 - 50*x + 5. Determine y(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 1442803322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 611*a**4 - 15*a - 41*a - 24*a + 10*a wrt a.\nAnswer: 7332*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*q + 2*n, -45*n + 49*n = 4*q + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 2\/17, 1, -4.\nAnswer: -4, 1\/11, 2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(99) + 0 + sqrt(99)) + 1 + (sqrt(99)*2 - sqrt(99)) - ((sqrt(99) + sqrt(99) + sqrt(99) + -1)*-4 + 3*(sqrt(99) + 0)))**2.\nAnswer: -216*sqrt(11) + 14265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 10*y**2 + y - 4. Let p be m(10). Solve 0 = -3*v - 3*k + 4*k + p, -11 = -2*v + 3*k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 485*b**2 - 9110*b + 44400.\nAnswer: -5*(b - 74)*(b - 15)*(b - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-19 - -32) - 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.89 and 96?\nAnswer: -949.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -20924, -1.93, -2, -1\/2 in increasing order.\nAnswer: -20924, -2, -1.93, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000000110010110 (base 2) in base 16?\nAnswer: -10196","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: -49968 divided by 2\nAnswer: -24984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 1515?\nAnswer: -1515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/((-21)\/56*-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 358212980 to the power of 1\/2, to the nearest integer?\nAnswer: 18927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21869623?\nAnswer: 107, 313, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, h: 4, r: 1, c: 1, f: 1, i: 3}. What is prob of picking 1 i, 1 r, and 1 q?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 4 - 3*-1. Suppose u - 14 = 2*l, -w*u + 5*l + 26 = -u. Calculate the smallest common multiple of u and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437.30173 rounded to the nearest ten?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-688)\/516)\/((4\/(-30))\/(126\/900))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 5*t**2 - 3*t. Let j(o) = 3*o**3 + 11*o**2 + 7*o - 1. Calculate 5*i(p) + 2*j(p).\nAnswer: p**3 - 3*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, c: 11}. Give prob of picking 3 c.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.452001481 + -0.452. What is t rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 4:16 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -225 + 110. Let z = 119 + x. Suppose -2*j = -6 - 14. What is the highest common factor of z and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 9) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 43*l + 38. Calculate o(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1873.7412 minutes to hours.\nAnswer: 31.22902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 16 = -2*p, 0 = -4*p - y + 16 + 4. Let g = 7 + -77. Let o = -68.8 - g. Which is the smallest value? (a) o (b) 2\/21 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/7 (b) 0.063 (c) 59379 (d) -0.2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 + 2*j. Let z(m) = m**2 - 2*m. Let o = -385 - -409. Suppose 5*r - o = -2*q, -5*q + 18 = 8. What is r*u(s) + 6*z(s)?\nAnswer: -2*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-107*r + 53*r - 1 + 53*r)*(1 + 4 - 4 - 2*r**2) to v*r**3 + q*r + s*r**2 + t and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*2 - -4)\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 19.196 and 7898?\nAnswer: 7878.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 705727 by -61.\nAnswer: -705727\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(128\/12) - -6 - 5 - 1. Which is the smallest value? (a) -25 (b) p (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 11*q**2 + 2*q + 5. Let w be s(11). Let m be 112 - ((-16)\/(-4) + -8)*-1. What is the greatest common divisor of m and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 437.46 + -437.5. Let z = 2156\/13 - 166. Sort -2, i, z, 0.2 in descending order.\nAnswer: 0.2, i, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -28, -1, -3, -466 in increasing order.\nAnswer: -466, -28, -3, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-14)*s\/s**(-1\/11)*s)\/(s\/(s\/(s*s*s**(-3\/7)))*((s**(3\/4)*s)\/s)\/s) assuming s is positive.\nAnswer: s**(-3767\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-207)\/((-1)\/50*2). Suppose 2*p - y = -0*p - 5*v, -4*v = -12. Suppose 0*d + p = 3*d. What is d rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d**2 + 1 + 0*d**2 - 5*d**2)*((3*d - d - 4*d)*(1 - 1 + 2*d) - 2 + 2 - 2*d**2 + d - d - 7*d**2) as t*d + z + m*d**4 + i*d**3 + c*d**2 and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 + -326)*(5 + -11772 - 3). What is h rounded to the nearest 10000?\nAnswer: 3770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 8:50 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6223 + 7213. Suppose -23*i + 2871 + d = 0. What are the prime factors of i?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/36 and 7\/522.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2 + 846*a + 849 = 0.\nAnswer: -1, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 4ad183?\nAnswer: 4ad17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(245) - (sqrt(245) - (sqrt(245)*2 - sqrt(245) - sqrt(245))))*4*-2 + (2*sqrt(245)*2 + 4 + 1*sqrt(245))*-4 + 4)**2.\nAnswer: 3360*sqrt(5) + 98144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -22*u**2. Suppose 5*a - 4 = 4*a. Suppose -a*g = -18 + 6. Let h(v) = 0*v**2 + 3*v**2 - g*v**2 + 2*v**2. Give h(s(n)).\nAnswer: 968*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdkl. What is prob of sequence klx?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -804*n**3 - 4*n**2 - 26*n.\nAnswer: -4824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Let x be (2 + -2)\/(o + -1). Let m be (5\/(-2))\/1*-4. Solve -u - m = 2*r, x*u = -3*r - 4*u - 25 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25470407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4280 - -4276. What is the second smallest value in 0.03, q, 0.4, 4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05966, -4, -3, -73 in descending order.\nAnswer: -0.05966, -3, -4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*(sqrt(77)*1 - sqrt(77)))\/(sqrt(132)\/(sqrt(36)\/sqrt(3)))*5 + 4 + 0)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4 = -3*u, 5 = 4*u - j - 7. Which is the nearest to 2\/9? (a) -1.6 (b) u (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 629 = 7*q + 5*b + 699, -8*q + 2*q + 78 = -4*b for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -7*10\/(-14) - -1703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18782069.\nAnswer: 113, 347, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 - -7)\/(-1*1). Let k(s) be the first derivative of 1 + 1\/3*s**3 + w*s**2 + 2*s. Differentiate k(q) with respect to q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millimeter in micrometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 22*a**2 + a + 28. Let n be d(-22). Suppose -n*u + 15*u = 9873. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/((sqrt(6) - sqrt(54))*4).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**4)\/(q*((q*q**8)\/q)\/q))\/(q**(-6)*q**(2\/13)*q) assuming q is positive.\nAnswer: q**(-80\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 5*f - 2. Let k be (20\/3)\/(16\/24). Suppose -32 = 3*b + k. Let i = b + 20. Determine p(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 15*z - 1331. Give i(88).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25843351?\nAnswer: 25843351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 12) to base 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**4\/24 + 2*n**3\/3 + 9*n**2 - 6*n. Let m = -1 + 1. Determine r(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3415.\nAnswer: 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*d + 74 - 294, -2*a = 3*d - 105. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1068*y + 11740. Let x be h(5). Calculate the highest common factor of x and 1120.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2427, -2593, -2869, -3255, -3751, -4357, -5073?\n\"Answer: -55*k**2 - k - 2371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 2135 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*5\/3)\/((-1)\/1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12000312 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/5))**(2\/101)*(z**(-2\/7))**(-1\/9)*(z*z**(-4\/7))\/z**(1\/3)*z**(-4\/3)*z\/(z**(1\/2)\/z) assuming z is positive.\nAnswer: z**(19441\/63630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*i - 2*i + 2*i - 2*i**4 - i - i**3 as r*i**2 + x*i**4 + o + k*i**3 + w*i and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021847051 rounded to four dps?\nAnswer: -0.0218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7845 - 3301?\nAnswer: 4544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1947 is divided by 216.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.006 + -0.006. Let o = 27.3 - 24. Let n = 3 - o. Which is the nearest to -0.1? (a) n (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(114)*-4)\/(sqrt(54)*6).\nAnswer: -2*sqrt(19)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from {k: 5, q: 1, j: 4, b: 2, z: 2, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**3\/3 - 8089*l**2\/3 - 9489535*l\/3 + 3165875 = 0?\nAnswer: -6665, -1425, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 152486851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.867 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/52)\/((-2)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**5\/60 + j**4\/6 - j**3\/6 - 13*j**2. What is v(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 (base 6) in base 7?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 9 = 15. Suppose -m + 4 = 2*w. What is the common denominator of 101\/16 and 291\/(-54) + (2 - w)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -8. Let m be y\/(-15)*-1*5. Let i be 27\/(-63) + 3\/7. Solve -m*u + i*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -91, -364, -819, -1456, -2275?\n\"Answer: -91*g**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8841988 is divided by 9078.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 4 + (11 - 4 - 23)*(11 + 12 - 35))*(0 - 2*p + 0).\nAnswer: -394*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -315 by -5.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 219.7?\nAnswer: -43.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 95. Suppose 3*v - 7*v + t = 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 16.36, 2\/27, -7, 2\/15 in decreasing order.\nAnswer: 16.36, 2\/15, 2\/27, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 242131 + -5?\nAnswer: 242122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -69024 and 1\/713 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 68041 to the power of 1\/2, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/13)\/(34\/((-1326)\/(-3)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-155)\/(-15) - 7)\/(1\/(-3))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -1\/53 (c) -498 (d) 0 (e) 4 (f) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h - 364 = -5*h. Suppose 198 + 49 = h*g. Put g, 0, 4 in increasing order.\nAnswer: 0, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51.3 - -56. Let n = v - -1.3. Let b = n + -10. Is 0 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514949 divided by 14?\nAnswer: 1514949\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 680*u**2 - 319*u**2 - 32766426*u + 32766426*u - 358*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*y - 28, 0 = -4*h + 4*y + 32. Suppose -6*t + 21 = 75. Let m = t + h. Solve 4*x + 3 = k, 0*k - 6 = m*k + 3*x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16574 + -7882. Is 24 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 118 (b) -3 (c) -3\/5 (d) 144\/11 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -874\/9 + 97. Let c(w) = 2*w**2 - 3*w + 2. Let m be c(2). Let z = -0.1 - -0.1. Put m, q, z in decreasing order.\nAnswer: m, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(0 - 10\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 7:29 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -58.06312 times 0.2\nAnswer: -11.612624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -169*b**4\/12 - b**2 + 111*b + 2. Let f(n) = -4*n. Give y(f(v)).\nAnswer: -2704*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4\/(t\/(t*t*t\/t**(-2\/9)*t))*t\/t**18*t**(-6\/7)\/t)**(-35\/4) assuming t is positive.\nAnswer: t**(3665\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.32 - 3. Let g = d + -0.52. Let n = 114 - 574\/5. Which is the closest to g? (a) -0.2 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + (3 - 11\/(-2)) and -11\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -551731641 to the nearest 10000.\nAnswer: -551730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/20 and -8\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b**2 - 29238548*b - 11695416 = 0.\nAnswer: -1461927, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 9*t + 10. Suppose 28 = 4*w - n, w = n - 0*n + 4. Let y be o(w). Factor m**2 - 6*m + 2 + 2*m + m**y.\nAnswer: 2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11729 divided by -18.\nAnswer: -11729\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -84*u - 68 + 125 - 259*u + 97 wrt u?\nAnswer: -343","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - -6. Suppose -l - 4 = -5*s. Let p(y) = -y + 4. Suppose 72*z - 78*z + 24 = 0. Let k(t) = t - 5. What is s*p(c) + z*k(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*((sqrt(605) + 1 + sqrt(605))*-5 + -4 + 3*sqrt(605)*1*-1))**2.\nAnswer: 370656*sqrt(5) + 14734944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1168 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -746 take away -0.059?\nAnswer: -745.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 340522789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -0.03040620766342?\nAnswer: -3.96959379233658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 282518865 by 56503773.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -157, -356, -635, -994, -1433, -1952?\nAnswer: -2551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844109502 minus 0.5?\nAnswer: 1844109501.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2714\/8 - ((-42)\/24 - -3) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + v + 13 = 0, -5*v - 511 - 483 + 925 = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 - -0.89999978. Round g to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, t: 6, m: 2}. What is prob of sequence mmg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 10 = 2*f + 2, 2*c = 5*f + 20. Let g be (219\/f)\/(3\/6) + 3. Is g at least -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2072\/(-222)*(-2)\/4 + -4 + 0. Factor 4\/3*v**2 + 2\/3*v - 4\/3*v**4 - g*v**5 + 0 + 0*v**3.\nAnswer: -2*v*(v - 1)*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-10)\/(-225)*6*-1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -844 - -979. What is the greatest common factor of 315 and b?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23886 smaller than -68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x + 98 = -0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 1\/63, 0, -62\/3, -14?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(-3*w + 4*w + 2*w)*(-5*w**3 + 3*w**3 + 6*w**3 + 4).\nAnswer: -12*w**4 - 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 5*b + b)*(-18*b**2 - 119 + 119) to f + l*b + j*b**2 + x*b**3 and give x.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2819, -2820, -2821, -2822?\nAnswer: -2823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -61*f - 35. Let g be o(-7). What is the highest common divisor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1194, 2255, 3178, 3957, 4586, 5059?\nAnswer: 5370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 3*t, -3*n + 3*t + 16*t - 216 = 2*t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 16*o**2 + 4971*o + 8358. Give r(-309).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4*7\/(-224)*-40*3\/((-30)\/(-62))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913455015?\nAnswer: 3, 5, 11, 463, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -7. Suppose 179 = 2*t + g*t + 3*q, -4*t + q = -133. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 + -7.99. Let f = a - -8.00000032. What is f rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -3519099.\nAnswer: -1\/3519099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054022 rounded to 4 decimal places?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 599 = -2*l + 326, 2326 = 5*l + 3*p. Let w = -466 + l. Which is greater: 1\/66 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*r**6 - 14*r**2 - 20*r**2 + 41*r**2 wrt r.\nAnswer: -1320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - -3)\/(-7*2). Let o be (-6)\/330*(-7 - -2). Which is the biggest value? (a) 5 (b) m (c) o (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2813430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-28) - 4\/14. Suppose s = -9*h + 11*h - 8. Suppose -20 = -5*f - 5*j, 3*f - h - 6 = -5*j. What is the highest common divisor of f and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58085.\nAnswer: 5, 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from sscucucaxducda.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 19 times -170\nAnswer: -3230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139594551.\nAnswer: 3, 6469, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**4 - 3*k**3 + 18*k**2 + 12*k - 24 = 0. Calculate k.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 25.4. What is the nearest to -1\/4 in -1\/3, d, -18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1191427133.\nAnswer: 13, 17, 5391073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4188, -25, 3, -9?\nAnswer: -4188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -7.18.\nAnswer: -35.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.1591*193\nAnswer: -30.7063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (4 - (-3 + 7) - -5)) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 6 = 3*a - 2*x - 8, 5*x - 10*x = -2*a + 17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1160 - 13292?\nAnswer: -14452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 804*n + 1. Let p(v) = 805*v + 2. What is -6*j(m) + 5*p(m)?\nAnswer: -799*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -2 (c) 1.23 (d) 2 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 - (108 + -43) - (5 - -93)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from {l: 6, r: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**4 + 2260*h**3 - 15173*h**2 + 20510*h - 7600 = 0.\nAnswer: -760, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 189 = 4*k, 348 = 3*j - j - 2*k. Let v = j - 178. Which is bigger: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216780973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*x**2 + 98*x**2 + 45*x**2 - 304*x**2 + 540*x**2.\nAnswer: 520*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k + 218. What is a(55)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8175000 rounded to the nearest 100000?\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t**2 + 19*t**2 + 16*t**2 + t.\nAnswer: 47*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*t**3 + 23*t + 931*t**2 - 308*t**2 - 312*t**2 - 311*t**2 as c*t + m + j*t**3 + p*t**2 and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 5:10 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65173 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 174 + -243. Let k = 122 + x. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 + (-2 + 4)\/(-2). Let c(h) = -59*h**2 - h. Let n be c(1). What are the prime factors of n\/j*8\/10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 5. Let w = 19 - s. Let a(g) = -15*g - 268. Calculate the least common multiple of a(-22) and w.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*c + 2*c - 2*c)*(5*c**2 - 8*c**2 + 5*c**2) + 23*c**3 - 11*c**3 - 14*c**3)*(-4 + 1 + 4) as m*c**3 + w + n*c + k*c**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 239 = 3*c + 199, 4*z = -4*c + 544. Calculate the remainder when z is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/88723637?\nAnswer: -2\/88723637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.624 to the nearest integer.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2268 divided by -74.\nAnswer: 1134\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*o - 1211 = 407 - 197 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/5)\/s*s)\/s**4)**(-4\/9)*(s**4*s*s*s**(-1\/7)*s*s*s)\/((s**4*s)\/s*(s**2*s)\/s) assuming s is positive.\nAnswer: s**(156\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -13*i - 3. Let d(h) = 6*h + 1. Let j(z) = 7*d(z) + 3*v(z). Suppose -3 = 3*s - 9. Give j(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(o - 6 + 10 + 5)*(3 - 1 + 0) as r + n*o and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1768008\/308 - (3 - (19\/7)\/1). What is the greatest common divisor of 35 and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28843, 115329, 259457, 461227, 720639?\n\"Answer: 28821*v**2 + 23*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 6 = 4*h, 0 = -h + 5*d - 19 + 48 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 110549470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b - 40. Let v(z) = 4*z + 39. Let a(i) = -5*l(i) - 4*v(i). Let q be a(0). Let t = q - 25. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 9 + 5 - 2*l)*(12028 - 12028 + 625*l).\nAnswer: -1250*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809620 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 21*w + 3. Let o be u(2). Let i be (o\/(-20) + 3)*-12. Let l be (-1)\/(-5)*i - -2. What is the second biggest value in 2, l, -13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114263 to the power of 1\/2, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6\/5)*t\/t**(-2\/11)*t**(-1)\/t*t*t**(-6)*t assuming t is positive.\nAnswer: t**(-331\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((1 + -2)*1)\/(-1). Let k be (x - (1 + 3))\/(-1). Let f(m) = -9*m**k - m - 1 + 3*m**3 + m. Give f(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1931 + -27023\/14. Find the common denominator of v and 31\/1848.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2711 - -23?\nAnswer: -2688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2066?\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -2\/105, 43, 3360?\nAnswer: 3360","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v. Let m(d) be the first derivative of 159*d**2\/2 + 121. What is y(m(t))?\nAnswer: 159*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/28 - (-86)\/602.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 4:58 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -15*p**2. Let r(x) = 7*x - 4. Let f(j) = 13*j - 7. Let u(y) = 4*f(y) - 7*r(y). What is u(z(h))?\nAnswer: -45*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -0.31. Let n = 0.31 - r. Which is bigger: n or -37?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 102795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + z = 6*z - 170, -5*z + 110 = 3*a. Is a < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 251*n**2. Let j(m) = 11036*m + 1. Give j(l(q)).\nAnswer: 2770036*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (-67923)\/(-7) + 760\/1064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 444919594*i**3*o*t**3 - i**3*t**2 - 103*i**3 + 2*i**2*o*t**2 - 8*i**2*o*t + 868*i**2*t**2 + 2*i**2 - i*o*t**2 wrt t.\nAnswer: 2669517564*i**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 11, g: 5}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -4, 5, -30, -18, -3 in ascending order.\nAnswer: -30, -18, -4, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {x: 2, t: 7, q: 1, l: 7}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 17 = -5*i - 5, s + 4*i = -15. Suppose -p + s = -48. Let m = -45 + p. Which is the smallest value? (a) 0.06 (b) 5 (c) m (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 442?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/(-15) - 3\/5. Let b(p) = 9*p**4 + 15*p**3 + 3*p - 15. Let a(g) = g**3 + g - 1. Let x(v) = w*b(v) + 30*a(v). Find the second derivative of x(q) wrt q.\nAnswer: -216*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (277200\/(-24750))\/((-2)\/15)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14251 and 4?\nAnswer: 14255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 54465640 (base 7) to base 16\nAnswer: 4749ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5063355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574 - 8*b + 70*b - 585.\nAnswer: 62*b - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(5\/(-4)) - -2. Let m be n\/(-6) + (-33)\/(-9). Solve m*s + 9 - 1 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -10*w**3 - 2*w**2 + w. Let m be i(1). Let z = m + 112. Suppose -j + 3*f + 10 = 0, -5*j - f + z = f. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 284713*0.5\nAnswer: 142356.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 187 + -90. Let j = i + 175. Does 19 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36968 is divided by 1369.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 676270 (base 9) to base 10.\nAnswer: 404820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -13*v**2 + 27. Let x = 36 + -44. Let k(f) = -4*f**2 + 9. Let y(d) = x*k(d) + 3*g(d). Differentiate y(w) with respect to w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-3580)\/179*(-24)\/15.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/126*15*6\/(-65).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 2*a + 5. Let x be h(3). Suppose -10 = -4*q - x. What is u in 2\/7*u - 2\/7*u**5 + 0 + 0*u**3 + 4\/7*u**4 - 4\/7*u**q = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -931557.12 less than -5523413?\nAnswer: -4591855.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**2\/3 + 2068*s\/3 = 0.\nAnswer: -517, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*g + g + 70, -g = r - 14. Let j = r - 5. What is the common denominator of j\/(-3) - (-2)\/(-22) and 57\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, m: 2}. What is prob of picking 2 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v = 3. Let b(g) = 6*g + 3. Let q(u) = 5*u + 2. Let n(m) = 3*b(m) - 4*q(m). Give n(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 47\/4, -0.3, 0.4, 4229537?\nAnswer: 4229537","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -b + 1. Let n be (-1272)\/(-264) + b\/11. Solve 2 = v + d, -n - 10 = -3*d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 403 divided by 18\nAnswer: 403\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (440278\/4 - 1)\/((-60)\/(-40)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9372926 * 0.04.\nAnswer: 374917.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -1. Let g = -9 + 21. Suppose 2*z + 2*a - g = -2, 0 = -z + 2*a - 4. What is the nearest to z in h, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.929 and -1532174.272.\nAnswer: -1532172.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(1\/1)*((-2552)\/33)\/29?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.46 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + -4 + (-2 - (-15 - -10)) + 16 + -10.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*4*-1*(-60)\/(-48)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m**3 - 2*m**3 - 2*m**3 + (-2 - 2*m + 2)*(-32260 - 958*m + 32260)*(3*m + m - 3*m) - m**2 + m**2 + 3*m**3 + (3 - m**2 - 3)*(-6*m + m + 4*m).\nAnswer: 1922*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 6. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 33 = -q, -14*q = 4*t - 11*q - 139. Suppose -65*u = -34*u - t*u. Solve -4*w = -8*w + 2*i - 20, u = 5*w - i + 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-570)\/(-12) + 15).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -1 (c) -7 (d) 5 (e) 1\/5 (f) 9 (g) -0.141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*((-760)\/2)\/5. Suppose w - k = 8*m - 5*m, -134 = 5*m + 2*w. Is m != -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + -31 + 1 + 41.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 289 + 1611 = 2*b, 0 = 4*b - 2*m - 3800. What is the least common multiple of b and 950?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3231 is divided by 154.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 35*l**2 - l + 88. Let q be o(-16). Suppose -5*z + q = -z - 4*h, 11337 = 5*z + 2*h. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*x**5 + 844*x**2 wrt x.\nAnswer: 3420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrre when four letters picked without replacement from {n: 5, f: 5, e: 2, r: 2, m: 5}?\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1908954 and 232.\nAnswer: 7635816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v. Let z(f) = 42178999*f. Calculate z(t(g)).\nAnswer: -210894995*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**4 - z. Let m(k) = 3*k**2 - 703 + 343 + 360. Determine m(q(v)).\nAnswer: 432*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.26 + 9.26. Which is the third smallest value? (a) k (b) -0.19 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 25*x - 28*x. Let u(i) = -14*i - 8. List the prime factors of u(x).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -2*c**6\/3 - 8*c**5\/5 - c**4 - 5. What is w in v(w) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 31796?\nAnswer: 63592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/5 + 144*w - 1424\/5.\nAnswer: -4*(w - 178)*(w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.223 * -0.03127\nAnswer: 0.00697321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = z - 110. Let o be (-1 - (-15)\/9)\/(z\/45). Solve -o*s - 2*s + 19 = -u, 4*s - 24 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 28*j + 18.\nAnswer: -28*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7095\/(-473)*(-17218)\/6.\nAnswer: 5, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -467893349.92202 - -416094412.921981. Let y = s - -51799032. Let m = 95 - y. Round m to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.124646 rounded to three dps?\nAnswer: 2.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20300000 rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (180\/(-16))\/((-6)\/32). Suppose 150 = -o + 154. Calculate the least common multiple of 2168\/a + o\/(-30) and 44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -12 - -30 - 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*z - 43*z + 5768. Does 21 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + -9 - -26) + -6 + (-7 - (0 - -2))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 8*y**2 + 26*y + 10. Is k(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 times 10\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -159234 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -706*q + 285*q - 8260 = -109*q - 76*q for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + r + 2)*(1 + 0 + 0) + 1 - 1 + 3*r)*(-117077*r + 117077*r - 13*r**2).\nAnswer: -52*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r + 1. Let c = -46 - -68. Let x = c + -22. What is the second biggest value in -11, x, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-3 - (7 - 8)). Find the third derivative of -6*a**3 + 36*a**b - 36*a**2 - 2*a - 48 + 48 wrt a.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 399*w - 1. Let b = 12 + -8. Let d(r) = 399*r - 2. Let s(n) = b*c(n) - 3*d(n). Let m be s(2). Round m to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-513)\/228456*-167)\/((-2)\/(-368)*1)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1873.979216 to 1 decimal place.\nAnswer: 1874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -2651*f**4\/12 + f**3\/3 + 2673*f**2 - 613*f + 2. What is the derivative of v(o) wrt o?\nAnswer: -5302*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1111)\/(-303) - (-7 + 5 + 4).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69 (base 10) to base 6.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/7)\/((-1)\/(-7)). Suppose t + 3 = -x*t. What is the nearest to 0.1 in 1, t, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 22*c**2 + 100*c + 67. Give z(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 621 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.1 - -230.1. Let m = 794.94 + -1001.8. Let f = m + j. Round f to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 253729.33.\nAnswer: 253732.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -3. Let m = y - -10. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(6\/(-18)) - (-2 - -1). Solve -j + 2*d + 7 = -t*j, -5*j - d = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7293462, -7293464, -7293466, -7293468?\nAnswer: -7293470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.676 to one dp.\nAnswer: -12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 53018000 rounded to the nearest 1000000?\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from ffffffffffffqff?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 13*t. Let c be n(-9). Find the common denominator of -2 - -113*(-3)\/c and -2\/5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.1 - 12. Which is the closest to z? (a) 0.5 (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10269876271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -296263086*a**3 + 1429943*a**2 - 3*a - 2.\nAnswer: -1777578516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 776*n + 11620. What is x(-15)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 2*b**2 + b + 1. Suppose -3*m + 40 = -7*m. Let q = 16 + m. Suppose 3*h - 6*h = q. What is v(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 4*a + 9*a - 10, 4*x - 2*a + 4 = 0. Suppose 0 = -3*o - x - 3. Let h be (-18 - -20) + 0\/(0 - 2). Sort -2, h, 0, o.\nAnswer: -2, o, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l**3 + 3*l**2 + 2*l + 7. What is the thousands digit of z(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 1) + (7 - 6) - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5e6 (base 16) to base 10\nAnswer: -1510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-57)\/9 - (-2)\/(-3). Let p(s) be the second derivative of s**4\/6 + 7*s**3\/3 + s**2\/2 + 108*s + 2. What is the smallest common multiple of p(y) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*a - 18 = 0, a - 6*a = l - 23. Calculate the greatest common divisor of l and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*f**3*v**2 + f**3 - 18*f*v**2 + 2*v**2 wrt f?\nAnswer: -252*f*v**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 3\/8 (c) 4.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 14 = -2*g, 0 = g - 6*g - y - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**2 - 5*f - 15. Let u(b) = -8*b**2 + 4*b + 16. Let h(g) = -3*u(g) - 4*w(g). Factor h(q).\nAnswer: -4*(q - 3)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, 0.2, 5, -16, -1\/4 in increasing order.\nAnswer: -16, -1\/4, 0.2, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-3) - -7) + -1. Suppose -f*z = -z - 39. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j - 3. Let b be s(2). Let t = -5 + b. Suppose 6*p = t*p + 2*o + 34, 3*p = 4*o + 18. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 - 2 + 2 + (m + 1 - 1)*(-4*m + 3*m - m) + 5*m**2 - 3*m**2 - m**2 + (29*m**2 + 109*m**2 - 16*m**2)*(-1 - 1 + 4).\nAnswer: 241*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -5 + sqrt(432) + -3 + sqrt(432) - -2*sqrt(432)*-2)**2*-2.\nAnswer: -992 - 384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/3 + 159286*a**3\/3 + 1056344450*a**2 - 32797722426*a.\nAnswer: 2*a*(a - 31)*(a + 39837)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*w**4\/5 + 96516*w**3\/5 - 2457204*w**2\/5 + 15023996*w\/5 + 8138364\/5 = 0. Calculate w.\nAnswer: -1\/2, 13, 12039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.24783 + 0.44783. Which is the closest to 0.1? (a) -0.5 (b) q (c) -443\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-24)\/(-138)*6\/((-12)\/1)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 + 30610*t - 15307*t - 15303*t - t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24132967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -16321113.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-6 + 2 - -1) + 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000111001 + 10?\nAnswer: 110000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 - -164. Suppose -h + r - 35 = 0. Calculate the highest common factor of h and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.1, 2\/9, 114, -0.2 in descending order.\nAnswer: 114, 6, 2\/9, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*(f\/(f*f*f**(-1\/25)*f*f))\/f)**26*(f**(-2\/9))**(-3\/41)\/(f*f\/f**(-1\/2)*f*f)**(-41) assuming f is positive.\nAnswer: f**(661471\/6150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 9485\/3 and -26 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*b - 41*b + 471 + 1070 = 0 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0652008 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 10*g + 3*g + 2*g - 9*g to the form c + p*g and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 6 = 9*k. What is the third biggest value in -4\/7, k, -3\/164?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + p**2 + 2*p + 2. Let h be f(-2). Suppose 2*m = h + 2. What is the highest common factor of m and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a (base 13) in base 10?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5099121091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**3 + 26*p**2 + 11*p - 15. Suppose -17 = -3*r + 5*j, 5*j = -2*r + 17 + 11. Give o(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -6. Let h = -12.74 - 0.26. Let i = 18 + h. Which is the second biggest value? (a) i (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*n**2 + 4\/5*n + 1.\nAnswer: -(n - 5)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.4 - -2.6. Which is the second smallest value? (a) -0.3 (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12a9 (base 11) in base 4?\nAnswer: -122130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2189412821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 2*w + 3*w)*((w + 0*w + 0*w)*(1125*w**2 - 227722*w + 227722*w) + (-w - 2*w + w)*(4*w + 2*w**2 - 4*w)) + 0*w**4 - 3*w**4 - 2*w**4.\nAnswer: 2237*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.035 - -3.\nAnswer: -7.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/3 - 10) + (-32)\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000111101100011 + -111?\nAnswer: -111000111101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/19)*f)**45)**42 assuming f is positive.\nAnswer: f**(73710\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 147 times -0.4\nAnswer: -58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 6*j**2 - j - 2. Let o be a(6). Let y be (-66)\/(-14) + o\/(-28). Suppose -5*h = 2*i + y, i = 3*h + h - 9. Solve -3*q + 5 = -h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 540 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -3*d**3 + 6*d**2 - 2*d**2 + 41 + 40*d**3. What is the second derivative of c(b) wrt b?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1149 or -35614?\nAnswer: 0.1149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/4 of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18715?\nAnswer: 5, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {t: 3, i: 6, p: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17\/60 - 1\/30. Let i be 10\/(-55) - (-26)\/22. Let s(g) = g**2 + g - 1. Let f be s(i). Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153639727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24801723 to the power of 1\/2, to the nearest integer?\nAnswer: 4980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -35*3\/(-30)*4. Suppose -w - f = -14. What is the nearest to -1\/2 in 3, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t - 384 = 128 - 128. Let u(j) = 5*j - 2. Determine u(t).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 41 - 6*d)*(-2*d**2 + d**2 + 0*d**2)*(2*d - 2*d + 2*d**2).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/117)\/(148\/(-37))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2993, -2994, -2995?\nAnswer: -2996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 22649?\nAnswer: 22649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 4. Let f be p(-4). Let y be 4 + 0 + f\/(-3). Suppose -y*w + 160 = w. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 4:47 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 434437?\nAnswer: 2\/434437","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/49 in -1, 2\/3, -3\/37376?\nAnswer: -3\/37376","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11158207?\nAnswer: 2251, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*n + 3. Suppose 5*u - 14 = 3*o, o - u = -2*o - 10. Let k be (o - 57)\/((-4)\/n). Calculate the greatest common factor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -448, -898, -1348, -1798?\n\"Answer: -450*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 111010?\nAnswer: 111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**26\/f)\/f*((f**(-4\/3)*f)\/f*f)\/f*f*(f\/f**(1\/3))**(5\/17))**(-37) assuming f is positive.\nAnswer: f**(-48803\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a + 280 + 140 = 0. Solve -7*p = -10*p - a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1823 is divided by 390?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 510 and 1110?\nAnswer: 18870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -12. Suppose 2*c + r = -6. Does 9 divide (-4)\/(c\/(-3)) + 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1654 and 19992725?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3)*-2*3. Suppose -25 = c*t + t. Let f(o) = -o - o + 2*o + o**3 + 3*o**2. Let h(r) = 2*r**3 + 5*r**2. Determine t*f(k) + 3*h(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9020 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2)*(-2 - -10). Solve x + f*o + 9 = o, -3*x - 6 = 2*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 6*u**2 - 2*u + 5. Let l be f(-6). Suppose -2*k = -69 + l. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 - -134?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0 = 12. Suppose d*h = 4 + 26. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(304)*-1.\nAnswer: -4*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 97, -2\/3, 2, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440*n - 973*n + 1408*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 64 = 4*k, -4*h - 3550 = -6*k - 3594 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -724 divided by 4.\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*l + 2, -3*l - 2 + 12 = r. Let k = 1750 - -428. Suppose l*t + 615 - k = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -163, -250?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -340 divided by 68\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/3)\/(1\/15). Let t(i) = -i**3 - 6*i**2 - 5*i + 5. Let a be t(x). Suppose -5*g + 12 = -4*h, -a*h + 3*h = 6. Which is smaller: 1\/18 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1357, 13, 0.2, 2, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 3418 from -32.35563.\nAnswer: -3450.35563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 585750962 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -25 + 134 - 2500*f + 27 + 175. Is r(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 730\/8*(-9 - 11869\/(-1320)) and -83\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -133467, -266932, -400397, -533862?\n\"Answer: -133465*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 9*l**2 + 7*l - 4. Let p be b(-8). Solve -p*d + 4 = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2124001606 to the power of 1\/2, to the nearest integer?\nAnswer: 46087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 3, g: 5, n: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 (base 10) in base 4?\nAnswer: 12202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006036 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-23 + -2)*-1)\/1. Let s = -17 + y. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**5 + 15*t**4\/2 - 55*t**3\/3 + 15*t**2 - 68. Factor j(y).\nAnswer: -5*y*(y - 3)*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - (-2856)\/(-10))\/(42\/(-210)).\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = u - 14. Suppose -5 = -0*t - t. What is the lowest common multiple of u and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -1210?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10))\/(3213\/(-273105))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 - 1083*b - 43829. Give x(308).\nAnswer: 2063","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 6*x + 58 = 14*x, -2 = 87*t - 80*t + 2*x - 4*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197891 is divided by 1113.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 710911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*-1*(1 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 455.2346 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1020 - 1489 - 346 - 1785 - 5*o in the form r*o + q and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1716705589?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 + 4*o + 8. Let t = -1044 + 1066. Let n(f) = -15*f**2 - 15*f - 31. What is t*i(k) + 6*n(k)?\nAnswer: -2*k**2 - 2*k - 10","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -6215 - -10881. Is 40 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-30))\/(-3)*130\/78.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(396) + -2 - sqrt(77)\/(1*sqrt(7))).\nAnswer: -8 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -19*s**2 - 2*s + 1. Calculate q(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 1\/67, -99273, 2\/21 in ascending order.\nAnswer: -99273, 1\/67, 2\/21, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-133)\/21)\/((-120)\/330*11\/(-6)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 134682085 to the power of 1\/2, to the nearest integer?\nAnswer: 11605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z**3 + 3*z**4 + 3*z**3)*(2 + 2 + 0)*(-5 + 2 + 1)*(0 + 0 - 3) to u*z + k*z**3 + r*z**2 + b*z**4 + m and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2878 is divided by 719.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 244 (b) 0 (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0, -1\/3, -12, -1\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -56 - (2308 + -2228)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -104\/9, -3, 3101?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 102 = 11. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*u + 78*u + 1313 - 106*u)*(4*u**3 - 4*u**3 + 3*u**3) + 3*u**4 + 2*u**4 - 3*u**4.\nAnswer: -4*u**4 + 3939*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 4*w**2 - w - 3. Let o be i(-5). Let t be -3 - 2*(-95)\/(-10). Let v be (-9 + (-209)\/t)*(1 + -1). Solve v = 4*k + 7 - o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 - 0.28. Let q = -1259 - -1262. What is the fourth biggest value in 5\/4, q, u, 75?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 225000 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3092 + -1953. Let a = 1055 + c. What are the prime factors of a\/14 + 6 + (-80)\/14?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 4. Let c be 72\/(((-4)\/2)\/14). Let m be c\/16*20\/k. Calculate the greatest common divisor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.24 + 4.76. Let n be (-1 - -18 - 15) + ((-192)\/20)\/4. Let f be (-1 - (1 - 1))*-2. Which is the closest to f? (a) -3 (b) l (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 732941, -12, 1 in descending order.\nAnswer: 732941, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v + v**2 - 3 - 9*v - 5. Let z be r(4). Let b be 0*(z - (1 + 0)). Solve 8 = -b*h - 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/10)\/(12\/10). Let o = 13 - 8. Sort o, 3, u in descending order.\nAnswer: o, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6486449.\nAnswer: 1721, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 265357 less than -717.1569?\nAnswer: -266074.1569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 10*q + 14. Let y be n(10). Let f = 18 + y. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 5*d = 9*n + 15, 3*d = 0. What is the remainder when 2172 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1185001\/46 + 25762. Find the common denominator of 23\/2 and j.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -416, -1660, -3712, -6572, -10240?\nAnswer: -14716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 4. Suppose 0 = 3*r - 98 - 100. Suppose -r + 3 = -3*l. Calculate the greatest common divisor of l and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - 5*sqrt(76)*-3) + sqrt(76))\/((sqrt(28) - 4*sqrt(28))\/sqrt(7)).\nAnswer: -17*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 184.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 + 0*f**5 - 4*f**5 + (-f + 4 - 4)*(4*f**4 - f**4 - f**4) - 18*f**4 + 18*f**4 - 4*f**5 + (5 - 2 - 2)*(-f**5 - 3*f**5 + 2*f**5).\nAnswer: -10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -961.2 and -0.378.\nAnswer: 363.3336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 divided by -18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 470 + 4?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 0 + 2)*(-2 + 4 - 1) - 3 + 6 - 2 + 53 + 130 + 11 + (2 - 1 + 1)*(-3 + 3 + 1))*(0*d - 2*d + 0*d) to i + b*d and give b.\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 8*f - 4. Let y be x(7). Suppose -y*k + 5 = -4. Let q = 2 - 0. Solve 4 = -5*r + k*g, g = q*r - g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.3 - 7.3. Which is the second biggest value? (a) t (b) 2\/3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -1.4. Let r = y - -0.2. Suppose 3*d - 15 = 5*x, 20 = 4*d - 6*x + x. Which is the second biggest value? (a) 2\/3 (b) r (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 434*y + 41 + 32 - 803*y + 420*y to p*y + l and give l.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -91*f + 96*f - 3*h, 12*f + 9 = -4*h - 27 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*l**2 - 51*l**2 + 14*l**2)*(6 - 4 + 0)*(-l**3 + l**3 + 2*l**3).\nAnswer: -96*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 - -6919?\nAnswer: 6944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - k = -0*y + 31, -3*k - 9 = 0. What is the highest common divisor of y and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, 0, 5, 4 in increasing order.\nAnswer: -137, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12504 and -3.\nAnswer: 37512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/30 - 5*a**4\/3 + 125*a**3\/6 - 4584*a**2. What is p(16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 7*d**6\/900 + d**5\/225 - 14*d**2. Suppose q(l) = 0. Calculate l.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 3.5. Let p = 1 + -1. Let r = -5.54 - -1.54. What is the biggest value in r, p, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 55\/(-20) + (-2)\/8. Let t(b) = -3*b - 1. Calculate the smallest common multiple of 8 and t(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*(-2*1*sqrt(1377) + 3 + ((1 + sqrt(1377))*3 - sqrt(1377)*-1*-1)))**2.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32, 134, 300, 530, 824, 1182?\n\"Answer: 32*k**2 + 6*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 10 = 4*j. Suppose -h + 4*s = -14, 3*s + 4 + 13 = 4*h. Calculate the greatest common divisor of j and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(700) + sqrt(700)*4) + sqrt(14)\/(sqrt(2) - sqrt(324)\/sqrt(2)))*-2.\nAnswer: -399*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8248231.\nAnswer: 53, 155627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36*312\/(-39)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/7786698 and -145\/1806?\nAnswer: 54506886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3664 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 59954 divided by -4\nAnswer: -29977\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**5 - 3234*m**4 + 103641*m**3 + 633794028*m**2 + 1267264212*m + 633577056 = 0.\nAnswer: -734, -1, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129081 and 19255848?\nAnswer: 7593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2. Let f(b) = -25*b + 6. Let r(u) = 49*u - 11. Let h(j) = 11*f(j) + 6*r(j). Give h(d(c)).\nAnswer: 38*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35\/(-50)*8 + 2*3. What is the nearest to m in 0.1, 2\/17, 0.39?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4887673 - 0?\nAnswer: -4887673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-14)*k\/(k*k*k**(2\/37)*k))**(1\/21) assuming k is positive.\nAnswer: k**(-198\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 q when four letters picked without replacement from stqqshqtqs.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1138*o = -1139*o + r + 16, o - 52 = -35*r + 27*r for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5492*l**3*q**2 + l**2 - 2*l*q**3 + 142*q**3 - 16*q**2 + 2 wrt l.\nAnswer: 16476*l**2*q**2 + 2*l - 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 7*z - 181. Suppose -2*j = 3*t - 7, z = 6*j - 3*j - 5*t. Solve 0 = -c + 3*c - j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 696347690 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -25*l. Suppose -232*o + 217*o = -8 + 83. Let x(u) = -1 - 20*u + 4*u - 10*u. Let d(j) = o*g(j) + 4*x(j). What is the first derivative of d(p) wrt p?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16847447?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 12*s**2 + 4*s + 24. Let t be r(12). Suppose 108*y - t = 99*y. Solve j + y*j + 27 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -677\/4 + 169. Let w(t) = t + 1. Suppose -o + 6*d + 4 = 4*d, 4*d + 8 = -2*o. Let c be w(o). Is l at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 903 + 103. What is the greatest common divisor of l and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96644 = 4172*w - 103612 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 8. Let x be 2 - (1 + (-2 - -1)). Suppose 9 + 3 = 4*d. Suppose x*h = d*h. What is g(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1380)\/1035*3\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 21087\/108 + 2\/((-16)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -1260?\nAnswer: -1259.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {o: 4, p: 3, b: 2, v: 2, a: 2}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 11:37 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(-180)*4\/3. Let q = 18 + -13. Let h = q + -3. Which is smaller: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 u when four letters picked without replacement from uwuuwwuuuuusuwuwu?\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-324))\/(1\/(-6))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/56 and 53\/4282544?\nAnswer: 4282544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/16 and -93\/5864.\nAnswer: 11728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 128*h**5 + 80646*h**4\/7 + 158236*h**3\/7 + 1056*h**2\/7 = 0. Calculate h.\nAnswer: -88, -2, -3\/448, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5123?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 100?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 126\/45)*15\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3313, 802, 2.\nAnswer: -3313, -5, 2, 802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 x when three letters picked without replacement from xyyyyuyxyvvvvx?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-2)*(-8)\/20. Let m be (1\/(-2))\/(v\/22). Let r = m + 34. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 7:42 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)\/h**(6\/11))\/(h**(1\/8)*h**(-6))*(h**(2\/7)*h**(4\/3))\/((h*h\/h**2)\/h**(2\/13)) assuming h is positive.\nAnswer: h**(901193\/120120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 4:27 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 - 18*v + 17. Let m be w(-10). Is (m*(-4)\/(-24))\/((-1)\/578) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 426152254760 - 426154698389.1000035. Let g = h - -2443632. Let t = g - 2.9. Round t to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Let v(w) be the second derivative of 0 + 1\/6*w**3 + w**2 - 68*w + 1\/12*w**4. What is v(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 368138354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/3)*y**(-9\/7) assuming y is positive.\nAnswer: y**(-41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1033942\/76)\/(-161) + 80.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 9*z - 4. Let t = 72 - 65. Determine c(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-four fifths of a kilogram?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 11*x**2 + 37*x - 97. Let g be b(8). Solve -4*z + 8*z - g*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -2, -11 in ascending order.\nAnswer: -11, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + z + 2*z)*((-3 + 0 + 2)*(2 + 2 - 5) - 51 + 1 + 92)*(0*z**2 + 3*z**2 - z**2) in the form m + s*z**2 + t*z**3 + o*z and give t.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11*x**2 + 50*x - 111. What are the prime factors of j(-20)?\nAnswer: 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 50 + 7\/3*y**3 + 6*y - y**2 - 1\/4*y**4. Give f(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 515 - 323. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -155, -351, -633, -1007, -1479, -2055?\nAnswer: -2741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5117 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-7 - -1) + 0 - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 72599 = -4*w + 2*x, -3*x = 12. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47670324 times -0.05?\nAnswer: -2383516.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-2 - 7)*1. Suppose -2*r - 14 = -4*z, 3 = z - 2*r - c. Solve 4*v + z - 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -429.6391 - -0.2391. Let z = k - -429. Let l = 0.2 + 0. Put z, -4, l, 2\/7 in descending order.\nAnswer: 2\/7, l, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**2 + 2*w**2 - 2*w**2 + (6*w - 2*w - 3*w)*(-3 + 3 - 2*w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 42 = 3*t. Let v be 2\/7 + (-6)\/t. Suppose -5083*s - 5 = -5088*s - x, 5*x + 8 = -14*s. Solve -3*g + s - 6 = v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pgggggggpgggggpgggp?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 135 - -200. List the prime factors of n.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687073 is divided by 9677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-556)\/(-70) - 112\/(-1960). Let k = -51 - -73. Suppose -5*a - k - y = 0. Is a equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.1 - 3. Let a = 0.2 + 0.1. Put a, v, -4\/5 in decreasing order.\nAnswer: a, v, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0, -2\/7, -5, 4\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k**2 + 1 - k**2 - 1.\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - -7. Let g(n) = 7*n + 1. Let f(m) = -20*m - 1 + 3 - 5. Calculate i*g(z) + 6*f(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11315 = 149*m - 30*m + 36*m for m.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18696.\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115.8 + -116. Which is the nearest to -2? (a) 5 (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 6. Suppose -2*z + 8 = -d*o, -12 = 3*o + 3. What is the units digit of (1*-333)\/(-3) + z + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31\/42 - 4\/7. Let k(x) be the second derivative of -1\/15*x**6 - w*x**3 + 0*x**2 - 2*x + 0 + 1\/6*x**4 + 1\/20*x**5. Factor k(r).\nAnswer: -r*(r - 1)*(r + 1)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(3\/8))\/b*b)\/(b\/(b*b*b*(b*b*b\/(b*(b\/b**11*b*b)\/b)*b)\/b*b)))\/((b*b**(5\/2)*b)\/b*b\/(b*b\/(b\/b**(-9)*b))) assuming b is positive.\nAnswer: b**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by 35.\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -970 or -854?\nAnswer: -854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20, 65, 132, 215, 308, 405, 500, 587?\n\"Answer: -a**3 + 17*a**2 + a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 11. Let s(f) = -2. Let g(y) = 2*b(y) - 11*s(y). Let a(x) be the second derivative of -4*x**4\/3 - 205*x. What is a(g(q))?\nAnswer: -64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*z + 87. Suppose -15 = -4*c + z. What are the prime factors of (2\/4)\/(c\/1106)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 178 and 26611?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvovvnnvvvvvvvnv. Give prob of picking 2 v.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20868*b**3 - 49 + 36 + 13.\nAnswer: -20868*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 - 65 = -4*t. Let s = 64 + -44. Calculate the remainder when t is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(48) + 5)*-6 + 5.\nAnswer: -24*sqrt(3) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwllwwlllwllwlwl. Give prob of picking 1 l and 1 w.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r + 7. Suppose 0 = 8*v - 5*v - 6. Let o be a(v). Let b(n) = 11*n**2 - n. What is b(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.02 and 139?\nAnswer: 139.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9219, -36697, -82501, -146637, -229111, -329929?\nAnswer: -449097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -15*u**3 + 4*u**3 + u**3 + 9*u**3 - u + 1. Let h(w) = 4*w**3 + 2*w - 2. What is -2*h(d) - 6*o(d)?\nAnswer: -2*d**3 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/5 - 72759*l\/5 - 5946786.\nAnswer: 3*(l - 24655)*(l + 402)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -147, -218, -291, -366?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -336 - 630 - 124 - 362 - 2*a**2 to the form m + r*a + g*a**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008)*4 + 2 + sqrt(1008) + -5*(sqrt(28) + -2 + 2 + sqrt(28))**2.\nAnswer: -558 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/16 and 119\/975820?\nAnswer: 3903280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -3*s + 5*j, 4*s - 2*j - 96 = 2*j. Suppose -2*t = -3*i - s, 4 = -t - 3*i - 7. Find the second derivative of -o + o**2 + t*o - 2*o wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 - -2273162707?\nAnswer: 2273162822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 20*w + 51. Determine j(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14335 + 14300. Which is the second smallest value? (a) q (b) 0.4 (c) -9 (d) 3 (e) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 623990000 to the nearest one million.\nAnswer: 624000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 14581340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6384 + 51547*k + 4790 - 51549*k.\nAnswer: -2*k + 11174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 5*l**2 + 9*l - 4. Calculate t(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 + 4375.91?\nAnswer: 4374.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -7. Let i(q) be the second derivative of -5*q**3\/6 - q**2 + q - 19. Determine i(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/11120 and -41\/1946?\nAnswer: 77840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 4*f**2 - 2. Suppose 3*p - 5*b = -p + 41, 0 = 4*b + 20. Let s be (0 - 0) + 0 + p. Suppose -s*d + 5*j = -8 - 1, 5*j + 25 = 0. Give g(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/232*4)\/(5\/62)?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.278 * -4.\nAnswer: -5.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 18 - 4*n**2 - 7*n**2.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3 = -4*l + 20, -23 = 4*l - 3*z. Let r be (l - 76\/(-40))*2. Let t = -1 + 1. Which is the nearest to -0.2? (a) -4 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*d + 29*d + 5. Let w be d - (-4 + 5\/2). Factor -1\/2*a**5 - 5*a**3 + 5*a**2 + 1\/2 - w*a + 5\/2*a**4.\nAnswer: -(a - 1)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 1176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*y**3 - 3)*(-2*y + y + 2*y) + (y**2 + y**3 - y**2)*(-108 - 39 + 15)*(0*y - 2*y + 8*y) + (2*y**2 - 3 + 3)*(5*y**2 + y**2 - 3*y**2).\nAnswer: -790*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 8:33 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 197 + -194. Let n = -28 + 197\/7. What is the closest to -8 in n, q, -2\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 21*z - 14. Suppose 3*o - 3*j = -21, 5*o + 3*j + 3 = z*o. Is 39 a factor of 4\/(-16) - (564\/(-16) + o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 1:05 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 21) + (182 - 152)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.03233 and -6.\nAnswer: -5.96767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/13526205 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1198 - -368. Let z = -276 - -256. Is a\/(-4)*(-5)\/(z\/8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**7\/21 - b**5\/30 + 18*b**2. Find the third derivative of l(j) wrt j.\nAnswer: -240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2 = -2*w. What is the third derivative of q**2 + 4*q**4 + 3*q**w + q**4 wrt q?\nAnswer: 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + n + 0*n + 0*n + 2*n + 0*n + (-1 + 6 - 4)*(3*n - n - 3*n) + n + 0*n + 0*n + 0*n + n + 0*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1810 (base 9) to base 10.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 665, 4, -10337 in descending order.\nAnswer: 665, 6, 4, -10337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 768 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/12811435 and 113\/370.\nAnswer: 25622870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - c + 1. Let a(s) = -4*s**2 - 9*s. Let r(k) = a(k) - 5*i(k). Let t be r(-4). What is the highest common factor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**2 - 6*x**2 - 7*x**2 as v*x**2 + m*x + d and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2799 + 2794. What is the closest to 0.09 in w, 1\/4, 9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.127630259 - 0.14182776. Let n = 42.385579499 - r. Let w = n + -42.4. What is w rounded to 5 dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -14) + 11 + -72 + 14?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, -12, -3, -7\/8, 7 in increasing order.\nAnswer: -12, -3, -7\/8, 0.12, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9734730500 rounded to the nearest 1000000?\nAnswer: 9735000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 7*q**2 - 7*q + 25. Calculate z(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8677.318ng?\nAnswer: 0.000000000008677318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21301282 divided by 2\nAnswer: 10650641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 2*k + 111 - 70, 0 = 4*w - 4*k - 52 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 11. Suppose 5*f = -3*g - g + 101, o*g + f - 97 = 0. Suppose -12 = -3*r + g. What is the remainder when 21 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - -0.2. Let k = 2195\/13 - 169. Which is the nearest to -0.09? (a) w (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + c - 27 = -79, -3*m = -2*c - 151. Solve -m = -11*s - 36*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1133325 (base 8) to base 14\nAnswer: -8083b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -66 (c) -2\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 7:21 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -254 - -513. What are the prime factors of r?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110001100110 (base 2) to base 11\nAnswer: -550a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**7*c**(-3\/10))\/(c**(1\/4))**(2\/7) assuming c is positive.\nAnswer: c**(232\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55942.31ms to microseconds.\nAnswer: 55942310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**4\/4 - 675*y**3\/2 - 8*y - 598. Factor x(w).\nAnswer: 3*w*(w - 675)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 938*l - 1911*l = -787*l + 19455 - 5133 for l.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 3 = -g - 9 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 8238, 11.\nAnswer: 0, 4, 11, 8238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - 3*x**3 + 12*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4\/3 + 173*s**3\/3 + 2220*s**2 + 4212*s = 0. Calculate s.\nAnswer: -117, -54, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 2*f**2 - 2. Let l be s(-2). Let b(u) = 3*u**2 - 2*u - 1. What is the remainder when ((-7)\/2)\/((-2050)\/120 - -17) is divided by b(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*z - 10135335 = 23*z. Suppose 5*a - 2*y = z - 1638125, 3*a + 693305 = -y. What is a rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 502*a - 2001. Let u be h(4). Solve -d - 4*i = -u, 0 = -11*d + 7*d + 3*i - 29 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -40*t. Let b = -16280 + 16370. Let h(p) = -p + 3. Let f(a) = -2*a + 7. Let z(q) = -3*f(q) + 7*h(q). What is b*z(j) - 2*r(j)?\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.05, 3, 1\/2351.\nAnswer: -0.05, 1\/2351, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - q + 17. Let d(l) = l**2 - l + 11. Let b(o) = 8*d(o) - 5*f(o). Let m(v) = -v**2 - 2*v + 2. Determine -2*b(y) + 3*m(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 464, 928, 1392?\n\"Answer: 464*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -145*h + 144*h. Which is the nearest to -1? (a) 2\/3 (b) 4 (c) 5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 6*x**2 + 2*x. Let q be m(-5). Let y be 18\/(-105)*-15*9\/54. Let j = 76 - 78. Which is the second biggest value? (a) j (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34599 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-120))\/((16\/2)\/2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*(sqrt(85) + 1*sqrt(85)*-1)\/(-3*sqrt(15)\/sqrt(3)))**2)*3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 301 and 33110?\nAnswer: 33110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + -0.39. Let k = -1.0034 - -0.0034. Let j be (-1)\/5 - (-104)\/320. What is the nearest to k in j, g, -2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 5. Is 23 - (-3 + i + -3) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + sqrt(68) + 1 + 1)**2 + ((1 + sqrt(68))*5)**2 + -1*6*(1 + sqrt(68)).\nAnswer: 112*sqrt(17) + 2335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - ((-2)\/6)\/(-1)*-3. Suppose 3*m + o*m - 16 = 0. Suppose m*w - d = 201, -2*w = 3*d + d - 186. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*o = 2*a - 10, -o - 9 = 2*a. Let z(n) = -n - 1. Let v be z(a). Let q(r) = -r**3 + 3*r**2 + 4*r - 1. Is q(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*s**3 + 1\/3*s**2 + 0*s + 0 + 1\/3*s**4.\nAnswer: s**2*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/12 and 4\/(-4) + 473\/94 + -4.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179, -773, -1767, -3167, -4979, -7209?\nAnswer: -9863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 369554 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 637048 to the power of 1\/2, to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 6 + 1247*b**3 - 2 - 11.\nAnswer: 1247*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1140259*f**4 - 2*f**3 + 8623257*f - 1 wrt f?\nAnswer: 13683108*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-26) + (-1575)\/(-325).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100867981937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.62156 + 221669?\nAnswer: 221648.37844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.14151 - 0.04151. What is the nearest to k in -90, -0.3, -5\/2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 15*k = -3*l - 4, 0 = l + 4*k + 16. Is 11\/53 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, i: 1, z: 1, l: 1, u: 2, f: 1}. What is prob of sequence fuhu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 8*w + 4*n - 49 = 0, -5*n - 25 = -2*w. What is the smallest common multiple of 1 and 68\/(w\/((-270)\/(-12)))?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 174*g**3 + 353*g**3 - 104*g**3 + (g + 0*g - 2*g)*(-10*g**2 + 29 - 29) + 4*g**3 + 3*g**3 - 6*g**3 + 1 + g**3 - 1.\nAnswer: 435*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -6.3. Let s(i) = i**2 + 12*i. Let l be s(-12). Which is the nearest to l? (a) 0 (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - p + 2. What is a(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9194692.\nAnswer: 2, 13, 151, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 7 - 2)*(5 - 1 + 15*g - 2) as z + d*g and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 99*f - 9. Let a be q(4). Let p = a + -211. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**8)\/(d*d**0)*(d**(-2\/9)*d*d)**35*d**(3\/4)*d*d\/(d\/(d\/(d**3*d)))*(d**(1\/9)*d)\/(d**4\/d) assuming d is positive.\nAnswer: d**(805\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2776 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347 = -50*z + 1097 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1159 and 3439.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14243447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931 is divided by 913.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11379*1 + (-2 - (-16 - -13)). Round o to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-338)\/(-91) - 4\/(-14). Suppose j - w*r - 22 = 0, -5*j + 3 + 2 = r. Factor 3\/2*k**3 + 3\/2*k + 3*k**j + 0.\nAnswer: 3*k*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2898\/313057 or 0?\nAnswer: -2898\/313057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 2*u + 2. Let n be p(2). Let o be ((0\/1)\/(-3))\/n. Which is the biggest value? (a) o (b) -2\/9 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*t + 5*h - 21, 0 = -5*t + 2*h + 51. Suppose x = 3*x - 18. Suppose n + 6 = x. Calculate the highest common factor of n and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 50 = -34. Let s(f) = 2*f**2 - 7*f + 6. Let h be s(5). Calculate the highest common factor of c and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.419 - 4.4. Let k = 0.181 + l. Let n = 0.1 - 0. Which is the closest to n? (a) k (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 18*h**2 - 17*h + 83. Is r(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-165))\/(54\/(-10))*(-48)\/(-16).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (13 - 28) - 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3357*a - 78929 = 139276 for a.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -675757.2 rounded to the nearest one thousand?\nAnswer: -676000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2*i + 22 = 0, 41*i - 45*i + 16 = -2*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4770.4ug?\nAnswer: 0.0000000047704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1990245567?\nAnswer: 3, 373, 1778593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 9.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -15\/8, -0.04, -14, -4, -0.4, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*r = 51*r - 2. Is (38616\/(-44))\/r - 4\/(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665\/2 + 24\/(-48)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22704 = 22*q - 0*q. What are the prime factors of q?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -103*l**5\/30 + 221*l**4\/24 - l**3\/3 - 487*l**2. What is the second derivative of k(s) wrt s?\nAnswer: -412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*b = 0, 4*u - 5*b = -b + 4. Calculate the lowest common multiple of 11 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 502203 and 19397?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, 3.5, -6, -0.1?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.054 and -0.71.\nAnswer: -0.03834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-5 - (6 + -5)). Sort 1, n, -77 in decreasing order.\nAnswer: 1, n, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 2. Let q(x) = 1. Let s(o) = 2*i(o) + 4*q(o). Let r(u) be the second derivative of 5*u**3\/6 + 270*u. Determine r(s(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 23, 45, 87, 155, 255, 393?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 730.4696 decades to millennia.\nAnswer: 7.304696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 0*t + 48. Let n be (-6)\/(-9) - 56\/t. Let i(h) = h**3 + 7*h**2 - 22*h - 39. Let x be i(-9). Sort n, -2, x, 5 in descending order.\nAnswer: 5, -2, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19142264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**2 + 2 - 2*n**2 - 2*n**2 + (2*n + 1 - 1)*(2*n - 3*n - n) + n**2 - 1 + 1 - 4*n**2 + 5*n**2 + 0*n**2 + 8 + 7*n**2 - 8.\nAnswer: 6*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/15 + -11 + (-107)\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*y**3 - c**3*y + 786*c**2*y**3 + c*y**3 + c*y**2 + c*y - 174 wrt c.\nAnswer: -12*c*y**3 - 6*c*y + 1572*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 223*m - 246. Let l(i) = 668*i - 820. Let x(q) = -10*a(q) + 3*l(q). Let t(c) = 18*c**2. Give x(t(p)).\nAnswer: -4068*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (97 + 62618\/(-655))*(-12)\/70.\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l - 1. Let g(u) = -u**2 + 10*u + 33. Let t(z) = -g(z) - 7*j(z). Give t(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -3*a**2 + 0 - 1\/3*a**3 + 3*a. Calculate the remainder when s(-7) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15550 and 65450261.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13*-2*(-3)\/6. Let v = 53\/4 - t. Let r be 0 + ((-3)\/8)\/((-3)\/10). Sort -4, v, r in increasing order.\nAnswer: -4, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73494447.\nAnswer: 3, 13, 61, 30893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + j = -6*o + 2, 10*j = -3*j. Let x = 6.4 + -9. Let q = x - -3. What is the nearest to 1 in o, q, -2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**5 - 193655787*n**4 + 774623112*n**3 - 774623100*n**2 = 0. Calculate n.\nAnswer: 0, 2, 64551925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4449005 and 1265?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1527.5 + 1527. Sort -3\/7, g, 3\/4, 14 in descending order.\nAnswer: 14, 3\/4, -3\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*i - 21, -i - 10 = 4*i. Suppose 11 = -3*p - 2*s, 0*s - 3*s = 3*p + 9. Let o = -57 + 55. Put p, h, o in decreasing order.\nAnswer: h, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (13 - 2) - -3. Let t(y) = -3*y - 1. Let v be t(r). Differentiate -1 + 5 + 6*x + 4 - v*x wrt x.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68592076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, -339, -509, -679, -849?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -49*n + 659. Does n = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/2000)\/(12\/16). Let q(z) be the third derivative of 1\/5*z**4 + 0 + 5*z**2 - 1\/25*z**5 - 8\/15*z**3 + 0*z + x*z**6. Factor q(f).\nAnswer: 2*(f - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(60)\/((sqrt(15)*-2)\/sqrt(3)))**2*-4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9421 (base 13) to base 12.\nAnswer: ba24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9539\/6485 or 0?\nAnswer: -9539\/6485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -573 - 261 = 139*d. Let b(u) = 6*u + 7. Let a(k) = 11*k + 8. Let w(o) = 10*o + 8. Let h(l) = 3*a(l) - 4*w(l). What is d*b(y) - 5*h(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -137.9 - -0.029?\nAnswer: -137.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*s - 62, 0 = -3*p - 5*s - 6 + 7. Solve 9*g + p*g = -42 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -137.533497.\nAnswer: -140.533497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43 and -34.41.\nAnswer: 1479.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7922 + -7649. Solve 4*f - 289 = -l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - l = 3*l + 841, u - l = -271. Let w = 579 + u. Let p = w - 163. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**6\/360 - b**5\/60 + b**4\/8 + b**3 + 4. Let l(u) be the third derivative of f(u). What is l(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + j - 2. Let h be f(2). Let u be (-48)\/128 - 470\/(-16). Suppose i + u = h*i - 5*q, -3*q = 5*i - 37. Solve s = -s + i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2892665 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11022987 divided by 648411?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*v**3 - 2*v**2 - 29*v - 2.\nAnswer: -624*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from vxbvxvbbb?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from {v: 5, d: 1, f: 4, z: 1, h: 1, a: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from {p: 2, u: 10, k: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 1776 + 1774 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-200*c**2 - 8*c**2 - 53 + 53)*(0*c - c**2 + 2*c**2 + 3*c).\nAnswer: -208*c**4 - 624*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 + -0.1. Which is the nearest to -2\/3? (a) -5 (b) -2\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 9:03 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from iiiiiiiciuvicvvjvii.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6301769.56 rounded to the nearest 100000?\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3035143, 3035145, 3035147, 3035149, 3035151, 3035153?\n\"Answer: 2*d + 3035141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 26. Which is the biggest value? (a) -4 (b) -0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -24, -38, -44, -36, -8?\n\"Answer: m**3 - 2*m**2 - 15*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (91\/(-14) - -7)*8. What is the derivative of 11849*f**o - 114 - 11817*f**4 - 27 wrt f?\nAnswer: 128*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**6\/120 + 7*b**5\/20 - 5*b**4\/6 + 47*b**3\/6 + 2*b**2 + 40. Give v(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539)*-2 + (5*sqrt(396))**2.\nAnswer: -14*sqrt(11) + 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(2\/3))\/m)\/m*m)\/((m\/(m**4*m))\/m))\/(m\/(m\/(m\/(m*m*m*m**(-1)))))**(1\/4) assuming m is positive.\nAnswer: m**(55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -57.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 5*m**2 + 2*m + 6. Let z be l(-6). Let d(k) = 27*k + 21. Let u = -93 + 100. Let i be d(u). What is the highest common divisor of i and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 2*n**2. Let t be f(-4). Suppose 3*b = -5*b + t. Suppose 0 = -j - b*j + 170. Calculate the greatest common divisor of j and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 32 = -0*g. Suppose -c - 16 = -5*m, 0 = -c - 0*m + 3*m - g. List the prime factors of 12*(-2)\/(-2 - c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 27 + 27)*(2*t**2 - 8*t**2 + t**2) + 2*t**3 + 4988*t**4 - 4990*t**4 + 0*t**3.\nAnswer: -22*t**4 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000498912811 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(5 + 56\/(-7)). Let z be (1 + 0)\/1*-1. Does 9 divide (-2 + 2 + z)*a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 4*v - v + 9 + 11 - 28. Let d be i(-5). Suppose -d*a = -2*n + 18, -a + 3 = n + 4. What is the remainder when 6 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.052 (b) -3\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = -46*b - 260 - 319. Let z be (0 + (-4)\/6)*-6. Let q be (8\/2)\/((-1)\/z). Is b equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*l + 3*l - 3*l)*(l - 4*l + 2*l + (1 + 1 - 1)*(1 - 1 - l)) as x + m*l**2 + j*l and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 211718816 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6071102 and 15148?\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d + 89. What is m(-10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**4\/24 + l**3\/6 - 3*l**2\/2 - l. Let k(p) be the first derivative of f(p). Suppose -3*t + 0 - 12 = 0. Calculate k(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5425 times -382\nAnswer: -2072350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19468 * -828.\nAnswer: -16119504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 42 = 5*a - 4, -5*v + a + 178 = 0. Let r be 1\/2 + (-6)\/v. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 2207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*n + 10 = 0, 3*n = -4*x + 2*n + 7. Let z(g) be the first derivative of 519*g**2\/2 + 2*g - 1. Is z(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q - 12 = 0. Suppose 2*v - 12 = -6. Let x = 29 + v. What is the highest common divisor of q and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -48. Calculate the highest common factor of 20 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2689055581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 17103 and 17071 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = a - 0*a. Let c be (a\/(-20))\/(2\/5). Let k = 38.4 - 38. What is the biggest value in k, c, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxfx when four letters picked without replacement from {f: 5, z: 2, x: 2}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2732.7 - 2850. Let t = 118 + a. Let f = -0.7017 + t. Round f to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 6, 3*l + 67 = 4*a + 6*l. Let z = 33 - a. What is the remainder when 97 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21737020961+-12\nAnswer: -21737020973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/12)\/(((-474)\/395)\/((-48)\/(-15)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14635920, -14635923, -14635928, -14635935, -14635944, -14635955, -14635968?\nAnswer: -14635983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59.3 - -62. Let d = o - 3. Let v = -6.7 + 7. Which is the third biggest value? (a) d (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + -59 + 477\/(-53). Which is the third smallest value? (a) 0 (b) 17\/4 (c) -5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r**2 - r - 2. Let c be h(2). Suppose 4*n - 5*n = 4, 2*n = 4*t - c. Let f be (1 - 7)\/(3\/t). Let i(w) = -2*w - 4. Calculate i(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 + 90*o - o**3 - 95*o)*(3*o - 2 + 2).\nAnswer: 6*o**4 - 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4935 = -3*r + 4971, 2*i - 4952 = -2*r. List the prime factors of i.\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 8*x - 1. Let t be m(7). Let k be 3\/9*(t - 0). Solve -v - 2 = k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1903068 (base 12) to base 16\nAnswer: -4fd090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/12 and 1\/366.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 2. Let a(n) = 4*n - 9. Let c(l) = 4*a(l) + 18*s(l). Let q(w) = -3*w - 261. Let v(x) = 2*x + 174. Let j(b) = -5*q(b) - 7*v(b). What is j(c(m))?\nAnswer: -2*m + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 1 - (6 - -7 - (-6 + 17))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (5 - (8 + -9 - 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjjpbpzjrpj. Give prob of sequence ppb.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24\/1141 - -76308\/1141. Solve h*w**2 - 1690\/7*w - 38\/7*w**3 + 1\/7*w**4 - 2197\/7 = 0 for w.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 2\/11, -6\/11, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 143?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 not equal to -38\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 8) in base 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1701 + 1703. Suppose 5*s + 0 = -5*w - 5, 0 = 3*w + s - 5. Solve w*z - f = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k**3 - 463*k**2 - 67*k - 65. Determine h(-66).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1935290.\nAnswer: 2, 5, 7, 27647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 40128 = 40117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 601235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h - 1. Let p be z(1). Suppose x + 1 - 2 = -4*k, 1 = x + k. What is the highest common factor of p and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 650 = 5*g - 6*n, 0 = -4*n. Calculate the highest common factor of g and 754.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {w: 1, i: 2, g: 2, j: 1, e: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14642.14 - 14642. Which is the third biggest value? (a) -2\/9 (b) y (c) 83 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*o + 96 = 150*o. Let t = -0.5 + 0.3. What is the third biggest value in o, -1, -1\/4, t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17884 and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 16) in base 4?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 9:07 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 * 0.08.\nAnswer: -3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31329, -62683, -94097, -125601, -157225, -188999, -220953?\n\"Answer: -5*q**3 - 31319*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -122 (c) -1\/6 (d) -5 (e) -1 (f) -0.2 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -112 + 5*x - x**3 - 2*x**2 - 430 + 79 - 5*x as d*x + b*x**2 + u*x**3 + h and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.046 + -2.054. Let b = 1159\/8130 - 5\/542. What is the nearest to d in b, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**3 + 294*q**2 + q - 9658 wrt q.\nAnswer: -3*q**2 + 588*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322*m = 324*m - 18. Suppose -r = -1 - 13. What is the least common multiple of r and m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 188974?\nAnswer: -5\/188974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d - 5. Let x(k) = -6*k + 6. Give 4*g(j) + 3*x(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1461828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.1 * 0.22.\nAnswer: 2.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 14, -28, -23, -1 in decreasing order.\nAnswer: 14, -1, -2, -6, -23, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 57130, 34, 4?\nAnswer: 57130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*a = 2*u + 22, -5*u + 42 = 2*a. Suppose 2*f - 160 = -3*f. What is the least common multiple of (f\/20)\/(1\/10) and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -529\/6, -5, -1, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-1))\/5)\/((-184)\/(-115))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(3\/8)*d*d*d)\/d**15)\/(d**(-3\/8)\/d*d\/(d*d**(-1\/17))))**(-29) assuming d is positive.\nAnswer: d**(4959\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 25190*f**2 - 25295*f - 503900.\nAnswer: 5*(f - 5)*(f + 4)*(f + 5039)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 7*m, 2*u - 8 = m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 638 divide 330649521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4 + 46 = 4*f, x - 4*f = -2. Let r = x + 14. Calculate the highest common factor of r and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, x: 1, n: 2, b: 1}. Give prob of picking 2 n and 1 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.71 + 1.19. Let p = q + -5. Let a be (-50)\/60*(-4)\/(-15). Which is smaller: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -12*t + 25. Let l(p) = 18*p - 35. Let g(o) = 7*f(o) + 5*l(o). Let m be (-6)\/(-9) + (-20)\/(-6). Let z(d) = -2*d - d + m*d. Give g(z(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*j = -474*j - 386*j - 8512 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.11 + 0.11. Let a = 417\/4 - 105. Let p = 247\/7 + -35. What is the nearest to l in p, a, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4023 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4560199801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 + 1. Let v be m(-1). Suppose -4*n + 3628 = -3*i - i, 0 = v*n + i - 3628. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 181\/4. Let t = -0.487 + 0.087. Let j = -273 + 277. Sort 3, j, c, t.\nAnswer: t, c, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01028248602 rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - w**2 + 2*w**2 - 165*w**3 + 163*w**3 as k + j*w + s*w**2 + m*w**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4*y + 24 = 4*m - 10, 7*m - 43 = 9*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 11*d**2 + 2. Let z be y(11). Solve -z = 5*l - 4*n - 28, 2*l = -5*n - 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 324 = 96. Let t = 72 + g. What is the tens digit of (-344)\/(-34) - 4\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 13, -46, -3, 326?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1427*m*r**2 + 13*m + 2*r**3 - 1005 wrt r?\nAnswer: -2854*m*r + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 62971312 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + -42. Is 0.1 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - 8 + 8 + (4*m + m - 3*m)*(-6 - 1 + 4)*(3 - 2 - 5) to u*m + k and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17914 by 17914.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 61*l**2. Let z be j(-1). Let k = 19 + z. Suppose -2*u = 3*u - k. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 2*z + 40. Solve -p - z = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90095.03 rounded to the nearest 1000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/4 + 7455\/140. Suppose 18*j + 26915 = s*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1583874573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdgmdgvmmdg. Give prob of sequence vmm.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4\/7, 188, -1835, 2\/17.\nAnswer: -1835, -4\/7, 0.1, 2\/17, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 7920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b + 6. Let c be z(6). Let k be c\/(-4) + (-1)\/(-2). Let j = 3 - k. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 636*s**2 - 1059*s**2 + 289*s**2.\nAnswer: -1406*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 7*m - 35. Let d(y) = -95*y**2 + 35*y - 35. Let t(l) = 8*l**2 - 3*l + 3. Let v(h) = m*t(h) + 3*d(h). Let s(n) = -2*n. Calculate v(s(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 11*t**3 - 3*t + 1. Let v be x(2). Suppose 12 + 356 = -8*q. Let y = v + q. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-15))\/(4\/(-6)). Which is smaller: j or 19\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0*z)\/z)**(-2)\/(z*z**2)**(-50) assuming z is positive.\nAnswer: z**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 4*c**2 + 30*c - 44. Let z be u(7). What is the nearest to -2 in z, -3\/4, 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -0.026 (c) -3\/8 (d) 4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/9))**(-23))**(-42) assuming p is positive.\nAnswer: p**(644\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 0*m**2 + 1\/12*m**4 + 0 + 0*m**3 + 2*m - 1\/30*m**6 + 0*m**5. Find the third derivative of y(c) wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*p = v - 24, v = 4062*p - 4061*p + 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 2*g - 22. Let i be f(-4). Suppose 3*v + 7*t - 12 = i*t, t = 0. Let d(r) = -4*r. Let w(o) = 19*o. What is v*w(a) + 20*d(a)?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84145304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -584 >= 19.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 2, 0, -6, -122 in ascending order.\nAnswer: -122, -6, -5, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -110, -4, 3, -2, 0, 234 in increasing order.\nAnswer: -110, -4, -2, -1, 0, 3, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 917\/1196 + -5\/299. Is w greater than -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3081168 divided by 385146.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 23\/9*f**3 + f**4 + 0*f + 1\/9*f**5 + 5\/3*f**2 = 0 for f.\nAnswer: -5, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, 33, 170, 387?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {q: 5, z: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4168 - -4175. What is the smallest value in 0.14, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooxoxox. What is prob of picking 2 x?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 14 = -i, -612*i + 617*i + r + 35 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2142, 1799, 1466, 1149, 854, 587, 354?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.38142.\nAnswer: -1.14426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 25323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2220)\/(-32) + (-6)\/16. Suppose -10*w - 308 = 292. Let z = m + w. Solve -z = 4*a - v, 0 = 5*a - 5*v + v + 25 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(567) + 6*sqrt(7)*-2 + sqrt(7).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133422 is divided by 74?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 444\/(-75))\/(8\/(-320)*-64)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**8\/112 - 2*u**7\/35 + u**6\/8 - u**5\/10 - 3*u**2 - 17. Factor b(q).\nAnswer: 3*q**2*(q - 2)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -443 - -481. Let v be (-2)\/5 - 660\/(-25). Suppose v = -3*w + 5*w. What is the remainder when y is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 49296 and -373?\nAnswer: 49669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*n + 1. Let f be -1*(-10*n)\/4. Suppose -5*l - 5*h + 384 = -251, -f*l - h = -619. Does 34 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140dc (base 15) to base 6.\nAnswer: 1213500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -676 (base 8) to base 7\nAnswer: -1205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-44 - (-32690)\/448) + 11\/352\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38327964 is divided by 1127293.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 27*z + 28*z + 8, 3*z = b + 8 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6987*g**2 - 1811*g**2 - 1555*g**2 - 1807*g**2 - 1813*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16582*f*n**3 + 3*f*n - 2*n**5 + 957*n wrt n?\nAnswer: 99492*f*n - 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10.62*0.3\nAnswer: 3.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-7 + -3) - 5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-25)*5\/1 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2602*g**6 - 2*g**4*m**3 + g**2*m**3 + 2*g**2*m - 29*g*m**3 wrt g?\nAnswer: 312240*g**3 - 48*g*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -50*h**2 + 4*h + 23. Let y(s) = 99*s**2 - 9*s - 45. Let x(c) = 7*m(c) + 3*y(c). Find the second derivative of x(k) wrt k.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 237*g - 10 + 243*g + 212*g - 662*g - g**2 in the form z + i*g**2 + u*g and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 33394425*s - 33394428.\nAnswer: 3*(s - 11131476)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -14. Let l = 28 - y. What is the remainder when l is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide (1\/7 + (-454564)\/(-14))\/(33 + -32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 19008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 532924?\nAnswer: -532924.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25aa6 (base 12) to base 3.\nAnswer: -2121220000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o**2 - 6*o + 97. Let k(g) = 13*g**2 - 14*g + 194. Determine 7*j(y) - 3*k(y).\nAnswer: 3*y**2 + 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49973*a**2 + 56900*a.\nAnswer: -99946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -14. Find the common denominator of -73\/8 and 406\/(-60) + n\/35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 5*h + 4*j, -749*h = -747*h + 5*j + 84. Factor 4 - 1\/9*w**h - 16\/3*w + 13\/9*w**2.\nAnswer: -(w - 6)**2*(w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-15)*4\/(-8)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 10*u**2 + 9*u - 1. Let r be d(11). Let w = r + 38. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*r**3*w + 9143324*r**3 + 2*r**2*w - 47813*r*w**2 wrt w.\nAnswer: 11*r**3 + 2*r**2 - 95626*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5614 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63741*f*y + 2*f + 14331 wrt y.\nAnswer: -63741*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(60))\/sqrt(5) - sqrt(48)\/(sqrt(24)\/sqrt(96)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9188869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1 = 5*x, -5*r - 19 = -x - 2. Suppose -3*b - 5 = -4*b + g, -2*b + 7 = -g. Suppose x*l + b*l = 92. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1222370?\nAnswer: 2, 5, 251, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(8)\/sqrt(4)*3.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-3 - ((-3 - 0) + -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**8*o))\/o**(1\/10))\/(o**0)**0 assuming o is positive.\nAnswer: o**(-81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 5*s - 4. Let o be k(-1). Solve -2*c = o*g - 2 - 2, -3*g + 9 = 2*c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 + 13816*m - 124665. What is t(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -96 + 87. Let u be ((-3 - 39\/j) + -1)*228. What is the third derivative of -2*y**4 - 78*y**2 + u*y**2 + 18*y**4 wrt y?\nAnswer: 384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 15*n**2 + 16*n - 31. Calculate i(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbyykzyyyyyyyb. Give prob of picking 2 y and 1 k.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-4)*o**(-2\/9)*(o**(-1\/6)\/o)\/((o*o**2)\/o))\/((o*o**(-1))**(-9\/4)*o**(-1\/9)\/((o\/(o\/(o\/(o\/o**(-3\/7)))*o))\/o)) assuming o is positive.\nAnswer: o**(-1097\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340*u - 61*u = 167642 - 468793. What is the smallest common multiple of 2253 and u?\nAnswer: 2253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(-35\/3)*(z**(-2\/9))**(-26) assuming z is positive.\nAnswer: z**(157\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 224? (a) 11 (b) -3 (c) -6122 (d) 5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 is divided by 183.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937 is divided by 309?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 13*l + 10. Solve -2*v - 2*v + l*h = -4, 3*v - 8 = 4*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 29056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*v + 566 = 290 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*m - 2. Suppose m*o = -3*w + 16, -2*o = -0*w - w. Suppose -64 = -2*b - o*b. What is the remainder when 29 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443048103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.153894 weeks in days?\nAnswer: 36.077258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-2)\/15 + 7\/21). Suppose -255 = -s*y + 475. List the prime factors of y.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 3) in base 12?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111 - 56. Suppose 44*x = 63*x - 95. Calculate the highest common factor of c and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -9*y**2 + 7. Suppose -28 = 3*a - a. Suppose -61*f - 11*f + 288 = 0. Let l(x) = -3*x**2 + 2. Determine a*l(i) + f*n(i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mbmfft?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000110100110001111 (base 2) in base 13?\nAnswer: -594b11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 261213 = -5*w, -2*w + 30*b - 29*b + 104488 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47852 - 6178 + 5093 = 1185*b + 1042*b for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -63, -97, -133, -171?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y - 8 = 0. Let u = 6 - y. Suppose u*z + 1 - 5 = 0, -3*m + 3*z = -459. What is the highest common divisor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + 2*sqrt(99)\/sqrt(9)*4*1) + 5.\nAnswer: 8 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = n + 18, v + 4*n = 2*v - 17. Let f(l) be the second derivative of 4*l**3 - 9*l**2\/2 - 10*l. Is f(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216 and 54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/9, -13, 0.96?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*k**3 + 2*k**3 - 7*k**3)*(1 + 3 + 0) in the form u*k + p + n*k**3 + f*k**2 and give n.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92 - -110. What is the remainder when 106 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 478856 and 765.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*z - 13*z - 39664 = 0. Suppose -t - 2 + 5 = 0. Suppose 2*s = 2*p - z + 68, -t*p - 2*s + 347 = 0. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21027, -20933, -20837, -20739, -20639?\n\"Answer: p**2 + 91*p - 21119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j = 3*t + 30, 0 = t - j + 15. Let l be 1\/t + 3\/12. Which is the nearest to -1? (a) 1 (b) 6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 0.02 (c) 0.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-2 - (1 + -10)). Let b(m) = -8*m - 5*m + 4*m. Calculate the remainder when b(f) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -630*s**2 - 520*s**2 + 498*s**2 + 4*s.\nAnswer: -652*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c - 6. Suppose -162*d - 255 = -179*d. Suppose 0 = -r - 10 + d. What is the remainder when r is divided by w(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2855 < 9774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107769 + -107765. Find r, given that 2\/7*r**y + 16\/7*r + 0 + 12\/7*r**3 - 30\/7*r**2 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 3177901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5252025 (base 6) in base 2?\nAnswer: -111110011100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 1291 - 261. Suppose 5*s = -5*q + 460, -s = 5*q - 270 - b. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u = 26*u + 14. Which is smaller: -9 or u?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, l: 2, e: 9}. What is prob of sequence lel?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1412609?\nAnswer: 11, 53, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/10)*a)\/(a**10*a) assuming a is positive.\nAnswer: a**(-97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**2 + 0 + 1\/120*f**6 + 3\/2*f**3 + 0*f**5 + 0*f + 1\/24*f**4. Suppose 5*h + 8*h = 0. Determine x(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1351661 (base 7) to base 6.\nAnswer: -3512455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -11*v**3 + 11*v - 9 + 17*v**3 - 5*v**2 - 4*v**3. Let j be g(8). Suppose -z = -4*f + 4*z + j, -2*z = 4*f - 762. Is f a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 9 + 17. Solve 24*f = r*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5427593909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**2 + 8. Let h(p) be the first derivative of 4*p**3\/3 - 9*p - 25. Give -7*b(l) - 6*h(l).\nAnswer: 4*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45.18 - 42.9. Let s = -0.48 + a. Put 2, s, -0.5 in ascending order.\nAnswer: -0.5, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1559089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*v + 4*t, -6*v = -9*v + 3*t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/((-2)\/(-4) - 2). What is the units digit of (u\/(-9))\/((-2)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*-3*(2 + 4*6*sqrt(99)))**2.\nAnswer: 64800*sqrt(11) + 12831303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2292545586 a multiple of 1713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-10))\/(3\/(-15)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 268991551 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14729 is divided by 125?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 998280 a multiple of 472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((9 + 2 - 16)*(1 + 2 - 5) - 2 - 1 + 1)*(-3*p**3 + 3*p**3 - 2*p**3) as f + m*p**3 + u*p**2 + n*p and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilwt when four letters picked without replacement from {n: 4, o: 1, t: 2, l: 6, i: 2, w: 3}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7606*x - 10042*x - 8055*x - 1 - 1 - 8459*x)*(2 + 1 - 2).\nAnswer: -18950*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**4\/7 + 68*v**3\/7 + 230*v**2\/7 - 296*v\/7 = 0?\nAnswer: -4, 0, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = 0. Suppose -2*a = -b - 7, x*b - 10 = -5*a - 5*b. Suppose 0 = -3*d - 3 - 0, -2*p - a*d = -35. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001001 - 110?\nAnswer: -11001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 11*q - 9. Let t be j(12). Solve t*a = -2*a - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639043 is divided by 9985?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**4\/24 - 3*x**3\/2 + 113*x**2. Let g(p) = -4. Let c(z) = -12. Let a(s) = 3*c(s) - 8*g(s). Give -5*a(d) + 2*w(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -4) + 3 + 4. Let f be ((-38)\/57)\/((-2)\/42). Is f less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51653451 to the nearest ten thousand.\nAnswer: -51650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**22\/y**(3\/2) assuming y is positive.\nAnswer: y**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 4*o - 35, 14 = 17*o - 16*o - 3*h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -947561, -947441, -947321, -947201, -947081, -946961?\nAnswer: -946841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*z**5 - 518*z**3 + z + 6113?\nAnswer: 60*z**3 - 3108*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, y: 2, z: 1, t: 2, h: 1}. What is prob of sequence yhy?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from buqwo. Give prob of picking 1 b, 1 q, 1 w, and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 23325505063 to the nearest one hundred thousand.\nAnswer: 23325500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from {x: 4, w: 3, a: 5, z: 7}.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 5*r**2 - 3*r + 3. Let i(v) = v**2 + 10*v + 11. Let d be i(-8). Is 6 a factor of a(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*m - 3*m. Calculate the common denominator of 371\/252 - m\/8 and 41\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41201666?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*i - 32*i - 21*i.\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-2 - 2781\/(-111)). Let f = -23 - s. Let q = f - -60\/259. Which is greater: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 83619381, 83619377, 83619363, 83619333, 83619281, 83619201?\n\"Answer: -b**3 + b**2 + 83619381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/5 of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) 0.09 (c) 5 (d) 0.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3 + 2 = o, -3*s - 3*o = -15. Let p be s*(0 + (-1 - -2)). Suppose p*b - 24 = -4*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**2\/15 - 8764*p - 144014430 = 0?\nAnswer: -32865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -1\/6*s**3 + 0*s**4 + 0*s + 1\/15*s**5 + 0 + 2*s**2. What is the first derivative of f(x) wrt x?\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3 = -0*j + 3*k, j - 3*k = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 4*j + 5*j**2 + 0*j**2 - 4*j**2 + 1. Suppose -k - 10 = -u, -k + 0*u = u. Determine a(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.28 + 7.2788. Let q = b + 0.0012001728. Round q to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 47 = -6*z + 2*z, 4*z + 5*c - 49 = 0. Let w = 24 - z. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*a - 14*a - 13*a)*(-4*a + 3*a - a)*(-1 + 2 - 4)*(0 - 15 - 2).\nAnswer: 918*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/4 - 19\/44. Let t = 339.1 - 366.1. What is the nearest to t in -4, 2, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -6*m + 18. Let n be (-4)\/m - (32\/6)\/(-2). Suppose -32 = -n*r - h, -3*r + 4*h = -24 - 46. Calculate the least common multiple of 8 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 4*s)*(265193*s**3 - 265193*s**3 + 141*s**4) + 0*s**5 - s**5 + 2*s**5 + 2*s**5 + 0*s**2 + 0*s**2.\nAnswer: -561*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 3*z - 11*z)*((1 + 5 - 1)*(5 + 0 - 4) + 0 + 0 - 1).\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3 + 22*t**2 - 21*t**2 + 2. Let y = -12 + 12. What is h(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4824\/3216)\/(18\/40)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*w + 15*w - 1 - 8. Let 0 - 44\/3*g**3 + 0*g - 38\/3*g**4 - 8\/3*g**2 - w*g**5 = 0. Calculate g.\nAnswer: -2, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2132 = -5*q + 2173. Let c = q + -421. Round c to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -335.75339 + 0.10339. Let n = i - -48.75. What is n rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-1*(-5)\/105). Let o = q - 19. Suppose o*x = 1 + 3. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 947488\/9 - 105276. Factor -u*r + 0 - 2\/9*r**2.\nAnswer: -2*r*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.7 - -16. Let m be (69\/6 - 2)*-2. Let s = m + 56\/3. Which is the third biggest value? (a) o (b) s (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 168*d - 4. Let i(p) = p**2 - 503*p + 13. Determine 2*i(g) + 7*o(g).\nAnswer: 2*g**2 + 170*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 398 by 2.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 3) to base 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-30)*(-4 + 2)*-3. Let u be 9 - ((-2)\/(-1) + w). Suppose -3*n = -15, -u*h + 2*h - n + 29 = 0. Solve -2*x = -4*o - h, -4*o = -0*o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + (sqrt(4)*-1)\/sqrt(2) + (2 + (-1 + sqrt(2) + sqrt(2) - sqrt(2)))**2.\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 9*p**2 - 10*p + 9. Let l = -24 + 14. Calculate the remainder when 15 is divided by t(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, q: 6, h: 1, t: 3, b: 5, j: 3}. What is prob of picking 1 q, 1 n, and 1 j?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4041 and 4.\nAnswer: -16164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - 1*sqrt(133)*2 - sqrt(133))\/(sqrt(56)\/(-2*sqrt(8))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 585745485?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 + 6*o + 1. Let q(r) = 19*r**2 - 17*r + 5. Let p(c) = 3*a(c) + q(c). Determine p(-2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 2:11 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 19.4, 2, -1\/4, 2\/3, -2\/31, 4 in decreasing order.\nAnswer: 19.4, 4, 2, 2\/3, -2\/31, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7589.8 - -7590. What is the closest to 14 in 3, l, -110?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-4 - 8) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*u**3 - 7336*u**2 + 7334*u**2 + 228*u**3.\nAnswer: 8*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10856887 is divided by 1145.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -692 (base 13) to base 12\nAnswer: -7a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20128164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 0 - -1) + 1*5. Solve -2*x - 2*b + 3 - a = 0, 2*x + 16 = -5*b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -2\/127, 2\/353?\nAnswer: 2\/353","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1373*x + 4221*x + 218166 = 0 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2248 + -2247.8. Let c = -0.8 + -10.2. Which is smaller: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6533*o - 18111*o**3 + 44549*o**3 - 6533*o.\nAnswer: 26438*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131662*d**2*x**3 + d**2*x**2 - 2*d**2*x + d**2 + 144020*d*x - 9*x**3 wrt d.\nAnswer: 263324*x**3 + 2*x**2 - 4*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12599 and -3.4.\nAnswer: -42836.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 792649 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**7\/11340 + 11*s**6\/1620 + 7*s**5\/180 - 31*s**4\/24 + 3*s**2 - 10*s. Let m(t) be the second derivative of d(t). Factor m(h).\nAnswer: 2*(h + 1)*(h + 21)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 111 = 5*l, -7 = 4*i - 4*l - 159. Let s = i + -41. Is ((-1826)\/(-44))\/(1\/s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/7 - 8388*f\/7 - 2434608\/7.\nAnswer: -4*(f + 348)*(f + 1749)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 + 7*c - 7*c)*((3 - 7 + 2)*(-3 + 7 - 2) + 5 + 2 - 5).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 4*j**2 - 5*j + 5. Let h be k(3). Let b be h*(6 - -1) + -2. Sort -4, b, 1 in descending order.\nAnswer: 1, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.867489 decades in months?\nAnswer: 104.09868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4 - 14. Let t(j) = -j**2 - 17*j - 3. Let x(b) = b + 1. Let l(p) = t(p) + 5*x(p). What is the smallest common multiple of l(-12) and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -1, -0.5, -6\/11, 0.3 in descending order.\nAnswer: 4\/9, 0.3, -0.5, -6\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 49 + 1 = 4*b, 4*m = 2*b + 28. Calculate the remainder when (-3726)\/b - 8\/20*-1 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 - 2*b**2 + 4*b**2)*(-3 + 3 - 2)*(-3*b**3 - b**3 + b + 2*b**3).\nAnswer: -8*b**5 + 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.29 + -2.29. What is the closest to 0 in v, -27, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 + 379 = -10*p + 42*p for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 5*d - 3*b - 57, 99 = -2*d + 6*d - 9*d + 4*b - 52*b for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-3\/11))\/x)\/(x*x**(-30)*x))\/(x**(-17))**(-2\/147) assuming x is positive.\nAnswer: x**(44461\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77\/(-21) + 624\/(-144) - 603\/(-75).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 3*k**7\/14 - k**4\/12 - 7*k. Find the third derivative of f(v) wrt v.\nAnswer: 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (361*l + 29*l - 40*l)*(-l**2 + l**2 + l**2).\nAnswer: 350*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2*(0 + sqrt(704) + sqrt(704)))**2 + 3)*-1.\nAnswer: -11262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*1.63.\nAnswer: -1.467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1265\/4512 + -31\/96. What is the closest to -0.2 in 2\/9, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 23 - 7*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274140474.\nAnswer: 2, 3, 19, 37, 103, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*v**3 + 0 + 46*v**2 + 228\/5*v.\nAnswer: 2*v*(v + 1)*(v + 114)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 662*l + 13243. Let q be f(-20). Solve -3*w = -2*a + 3, -q*a - 2*w - 7 = 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 28*c + 293. Let h be g(8). Solve 4*f = 2*b, h*f + 17 = -3*b - 27 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 13*u**3 + 2*u**2 + 18. Let j(m) = m**3 + 3. What is -6*j(v) + l(v)?\nAnswer: 7*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.540269 milliseconds in microseconds?\nAnswer: 8540.269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8765428 litres in millilitres?\nAnswer: 876.5428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**3 - 2*d**2 - 3*d - 3. Let q(s) = -9*s**3 - 4*s**2 - 5*s - 5. Calculate -5*p(o) + 3*q(o).\nAnswer: -7*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c**2 - c**2 + c**2)*(4447 - 2314 - 2277) to the form k*c + q*c**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 6, p: 1, z: 1, y: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -18*z**2. Let f(u) = 21*u. Determine f(j(t)).\nAnswer: -378*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 x, and 1 o when four letters picked without replacement from {o: 1, s: 3, j: 3, x: 7}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 659, 5, 4, -10366, -3 in descending order.\nAnswer: 659, 5, 4, -3, -10366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 6. Let i = -468 - -475. What is o(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42156, 41985, 41696, 41289?\nAnswer: 40764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-44) - 40\/(-22). Suppose 4*g = c*o + 242, -2*o + 0*o + 298 = 5*g. What is the highest common divisor of g and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004268 to 4 dps.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -394, 1\/6 in decreasing order.\nAnswer: 1\/6, -25, -394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)*j*j)**22*(j*j*j\/(j\/j**(-1\/7))*j*j)**45 assuming j is positive.\nAnswer: j**(1600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(76) + 4*sqrt(76)*-2 + sqrt(76))\/sqrt(4) + (sqrt(19) - -1*sqrt(2736)) + sqrt(171)\/(-2*sqrt(9)))**2.\nAnswer: 3211\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.043655 + 2.604955. What is r rounded to two dps?\nAnswer: 2.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/4, -2063\/16, -1, -13, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*x = -0*x + 5132 + 268 for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -1926?\nAnswer: 1923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 1. Let w(i) = -i. Determine p(k) - 3*w(k).\nAnswer: 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1901*z = -52104 - 158907 for z.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*m + 7. What is the units digit of ((-7)\/14)\/(m\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3937766920.9999906 + 3937766362. Let x = 559 + f. What is x rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202408147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -41593d?\nAnswer: -415939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 1300 - 221 - 222 - 217 + 28*z - 640.\nAnswer: z**2 + 28*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -209 + 19420?\nAnswer: 19214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 - 22*a**2 - 8239993 + 5*a**2 + 8239994 + 3*a**2.\nAnswer: -14*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 8*a - 5*a, -2*t + 272 = -5*a. Let c = t - -459. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/2855 and -31\/4.\nAnswer: 11420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 48.56675 microseconds?\nAnswer: 0.04856675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 542658442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 q when three letters picked without replacement from qprpnrqqqqqpqqpqq?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = m + 19, 9 = 3*a - m - 2*m. Put a, 3, 0 in ascending order.\nAnswer: 0, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*120\/(-32).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4209080 + -9324?\nAnswer: 4199756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70688 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*r + 3*a**3*v + 37*a**2*r - 765*a**2*v - 6*r*v - 2*r + 1 with respect to v.\nAnswer: 3*a**3 - 765*a**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 0.08, 151, 0.52, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41842188, 41842190, 41842192?\nAnswer: 41842194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -14 - 36. Solve 4*a - t = 5, -3*a - 5*t = -a + r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 787*x - 219 + 71 - 178 - 765*x.\nAnswer: 22*x - 326","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-149)\/4)\/(3\/(-84)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 24\/49 (b) 2 (c) -3\/4 (d) -1\/9 (e) 0 (f) -38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -3*b + 1, -4*b = c - 1 + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdmr. What is prob of sequence dr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**2 + 5*o**3 - 4*o**3 - 11 - 2*o + 9. Calculate b(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 28441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1505.5583 to zero decimal places.\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 247 - 166. Let r = t - 81. Which is the nearest to -1? (a) r (b) 5\/3 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 3*j**2 + 4*j + 6. Let i be v(0). Let h(l) = -l**3 + 6*l**2. Calculate h(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 756 and 29214?\nAnswer: 408996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*r**3 + 39 - 23*r**3 + 66*r**3 - 25*r**3 to the form h*r + d + f*r**3 + a*r**2 and give d.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2611998154 + -2?\nAnswer: -2611998156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6\/51 - 80\/(-476)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - -12) + -2 + -13 + -8 + -4?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, 49, -34582 in ascending order.\nAnswer: -34582, 5, 6, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1737978 is divided by 768.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27, -39, -57, -81, -111?\n\"Answer: -3*p**2 - 3*p - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -124471 equal to -124471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4879409, 4879398, 4879387, 4879376, 4879365, 4879354?\n\"Answer: -11*k + 4879420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.46 - 0.1. Let v = u - 1.359999648. Round v to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/455 (b) 0.4 (c) -103 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18*235\/2200 + 8\/20 and -47\/136.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1329000 and -73\/3?\nAnswer: 1329000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 574831 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i - 3*i - 2*i)*(6*i**2 + 3 - 3 - 1)*(i + 2 - 3*i - 4) to g*i**3 + k*i**2 + q*i + l*i**4 + z and give g.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23 and 1081.\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1233609076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 7:18 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341602040.\nAnswer: 2, 5, 13, 73, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-15))**(-21\/2)*(g**(-7\/2)\/g)\/(g**(-2\/9)\/g))**14 assuming g is positive.\nAnswer: g**(18109\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (2 - (2 - 2)). Suppose 4*g + 8 = 3*l, 0 = -4*g - 36 + 40. Solve 0 = -l*t - n*t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 20 + 12240090*y - 12241675*y.\nAnswer: -1585*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*y + 925 = -22*y + 197 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -4. Calculate the remainder when 2 - -34 - (-9)\/f is divided by 12\/10*(11 - -4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4801, 4819, 4857, 4921, 5017, 5151?\n\"Answer: r**3 + 4*r**2 - r + 4797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 - 61*l**2 + 95*l - 45. Determine m(-32).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 359022038 and 1928?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4))\/((-2)\/8). Let h be -3 - (-1)\/((-1)\/j). Sort 5, 1, h in increasing order.\nAnswer: h, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + sqrt(363)*-2 + -5 + (sqrt(363) + -1)*3 + 0 + -5)**2.\nAnswer: -2748 + 1584*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 164808427 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u + 1. Let z(j) = 8*j - 13. Let t be z(-5). Let h = 51 + t. What is g(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*f + 10 + 18 = 0, -5*f = -2*m + 15. Let y(w) = -w**3 + 10*w**2 + 6. Let g be y(m). Let u(i) = i - i + i + g. Determine u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000641836594 to 6 dps.\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - g = -2*h - 2, 5*g = 5*h - 10. Suppose -h*w = -w - 57. What is the remainder when 37 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2661 = -4*d - x, -568*d + 566*d + 1347 = -5*x. Calculate the highest common divisor of 888 and d.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372723.\nAnswer: 3, 13, 19, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 14 - (-1 + 4 + -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 865.57 - -0.04\nAnswer: 865.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -580, -585, -592, -601?\n\"Answer: -k**2 - 2*k - 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 5*(-5 + sqrt(396)*-1 + 4 + sqrt(396) + sqrt(396) + sqrt(396)*-2 + sqrt(396) + 1) + 2)*5)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12501.37 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o - 6 = 3*r, -o = 5*r + 22. What is the units digit of (-290)\/(-25) + (-2)\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1022451*a*g*i**3*z - 5*a*g*i**2*z + 9*a*i**3*z - 3*a*i - 17427*g*i**2 + g*i wrt i.\nAnswer: 6134706*a*g*z + 54*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4674 and 246.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 36. Determine z(10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**4\/4 + 65*z**3\/2 + 1245*z**2\/4 + 1300*z + 2000 = 0. What is z?\nAnswer: -8, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 30. Suppose 4*a = 6*a. Let h be s(a). Let o = 97 - h. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 2924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*u + 3338 + 1174 = 0. What is the remainder when 58 is divided by u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/(q\/(q\/(q\/q**2*q)))))\/q)**11\/(q**2\/q*q*q)**(2\/43) assuming q is positive.\nAnswer: q**(-952\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 8173*m. Let i(p) = -3*p**2 - 12261*p. Give -5*i(g) + 7*l(g).\nAnswer: g**2 + 4094*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 6 - -5) + -2 - (68 + 45).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z**2 + 2486*z - 2 + 26*z**2 - 2539*z to the form u*z + y*z**2 + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192.8637 centuries to millennia.\nAnswer: 19.28637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 - 75. Let t be (3 - (3 + c))\/(6\/(-16)). Let p be 18\/(-15)*5*(-4)\/t. Solve 0 = -p*l - 5 - 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 485 - -3731. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**2 + 6*s - 3. Let g(r) = -r**3 - 10*r**2 - 23*r + 4. Let l be g(-6). Let j be t(l). Solve -26 = f - j*k, 0*f = f - 2*k + 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 369 + -367. Suppose -3*y - 5*t + 151 = 0, -4*y - w*t + 171 = -21. Which is the third biggest value? (a) 0.2 (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004141 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3732 and 209303.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 10*n**2 - 13*n - 9. Let b(t) = t - 5. Let z be b(-4). What is the units digit of r(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142608 by -24.\nAnswer: -5942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55674904469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 172*z**2 + 28*z + 41691 with respect to z.\nAnswer: 344*z + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38594206 by 6.\nAnswer: -19297103\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109146911.6941619527539 - 14.6941711527539. Let z = s - 109146932. Let h = z - -35. Round h to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -70, -111, -156, -205, -258, -315?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13 - 10)*(-4)\/2. Let l be (-130)\/14 - 4\/(-14). Let a be l\/d*16\/6. Solve -2*c - a = 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8564814 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 349 = 3*s - 9420, -2*s - 24451 = -5*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*q**4 - 251*q**3 - 12*q**2 - 10*q - 4292 wrt q.\nAnswer: -144*q**2 - 1506*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 + -1 - (-1804)\/220?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/3)\/((-4)\/(-12)). Let w be 2\/y - 610\/(-30). Let r = w - 20. Solve r = 3*t - 7*t + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)*-1 - sqrt(52))*3 - -3*sqrt(260)\/sqrt(5))\/((sqrt(256)*-2 + sqrt(256))*4*5).\nAnswer: 3*sqrt(13)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 51?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 94803*k - 94812*k + 284438*k - 94827*k + 0.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22551?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/((-9072)\/(-3424)) + -9 and (-226)\/24 + -1 + 0.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-756)\/(-2079) - ((-24)\/16 + (-974)\/44)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002776 rounded to 6 dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/572 and -7\/61?\nAnswer: 34892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 407 - (-6 - -4). Suppose -4*w + 200 = 3*u - 129, -5*w = 3*u - s. Suppose -120 - w = -8*v. Solve 0 = -n - 4*n + v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 201112?\nAnswer: 201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 105*d**2 + 225*d + 115.\nAnswer: -5*(d - 23)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025 at most 1932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 466635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21011220121 - -10?\nAnswer: -21011220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -26205.35 rounded to the nearest ten?\nAnswer: -26210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**6\/120 + g**5\/3 + 3*g**4\/2 - 94*g**2. Factor y(s).\nAnswer: s*(s + 2)*(s + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8390 - 8369. Calculate the least common multiple of b and 1101.\nAnswer: 7707","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (3 + -6 + 0 + 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.013 (b) -0.1 (c) -0.2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/20 and (-95)\/475 + (-2)\/(-40) + (-3)\/(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3763, 3745, 3707, 3637, 3523, 3353?\nAnswer: 3115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**5 - 159825*m**4 + 5118425*m**3 - 35036875*m**2 - 5118420*m + 35196700 = 0. What is m?\nAnswer: -31997, -1, 1, 10, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.2 and -1.053378?\nAnswer: -3.3708096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdvdaxd. Give prob of sequence az.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 11*q - 48. Let j be f(-15). Calculate the highest common factor of j and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from {n: 2, s: 1, b: 2, a: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**4\/5 - 2889*f**3\/5 - 47643*f**2\/5 + 637929*f\/5 - 117480 = 0. What is f?\nAnswer: -25, 1, 8, 979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y + 21 = 5*j, -y = -j. Suppose 3*o = -2*p + 34, 3 = j*o - 3. Suppose 48 = -p*q + 15*q. What is the remainder when q is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*x - 52722 = -424*x - 890*x for x.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2\/(m\/(m\/m**(3\/8))))**(-15\/4)\/((m*m\/(m\/(m*m*m*m**(-1\/3))))**(-19)*m**(4\/5)\/m**6) assuming m is positive.\nAnswer: m**(33011\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -7, -0.1, 27, -3\/935, 5 in descending order.\nAnswer: 27, 5, -3\/935, -0.1, -1\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3100425 - -1?\nAnswer: 3100430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -5 - 3*d - 2*d**2 + 1\/4*d**4 + 0*d**3. Suppose -s + 3*s = -4. Give i(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (959*a**3 - 25*a**5 - 959*a**3)*(-11 + 18 + 30).\nAnswer: -925*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/465 in -15, 1\/21, -0.2, 2?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) 6\/13 (c) -2\/81 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w + 1\/4 + 4*w**2.\nAnswer: (4*w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from {a: 1, r: 1, n: 1, o: 1, z: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.034 + -2. What is y rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 7*o + 47. Let w be j(8). What is the greatest common divisor of w and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -596836 divided by 268\nAnswer: -2227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 584 divide 2724175456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -32*j + 301. Determine d(8).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 907785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*sqrt(17)*1 + 4 - (sqrt(68)*1 + 0)).\nAnswer: -16 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**5\/60 - 3*x**4\/8 - 8*x**3\/3 + 2*x**2 - 66*x. Let d be s(-4). Calculate the highest common divisor of 32 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(1\/4)*u)\/(u*u*u**0))\/((u\/(u*u\/u**(-5)))\/(u*u**(-3\/4))))\/((u\/(u\/u**(-1\/4)*u))\/((u*(u**1\/u*u)\/u)\/u))**29 assuming u is positive.\nAnswer: u**(171\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14753413 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s. Let p = -10 + 7. Let q be x(p). Suppose q*g + 51 = -z + 2*z, 2*z - 92 = -4*g. What is the highest common factor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 33*t - 16. What are the prime factors of k(19)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-100)\/240*12\/(-45))\/((-2)\/12). What is the nearest to 1\/3 in 0.5, -7\/10, z, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 21*u - 59. Let w be d(17). Suppose 0 = f - 4*m + 10, 3*f + 5*m - 46 = w. Let o be 2\/(-3)*(f + -4)*1. Put -7, o, -1, 1 in increasing order.\nAnswer: -7, o, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231250\/190 - 10\/95 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -28*x**2 + 118*x**2 + 27182*x - 27182*x in the form c*x + v + g*x**2 and give g.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b6 - -1?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/(t*t*t**5*t*t))**10 assuming t is positive.\nAnswer: t**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 3)*(2 - 2 + 2*h) + (-4 + 4 - 10*h)*(3 - 1 - 3) as m*h + g and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g. Let j(p) be the second derivative of 0*p**3 - 7*p + 0 - 1\/4*p**4 + 0*p**2. Calculate j(b(y)).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60\/293886053 - -856182931311\/258619726640. Let f = 2\/1045 + a. Let v = -34973\/42 + 5984\/7. Calculate the common denominator of f and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -0.1 (c) 78\/23 (d) 3\/4 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 815 a factor of 339855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1580.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 16*i**2 - 40*i + 13. Let w be r(13). Which is bigger: -1\/1754 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100 - 245332?\nAnswer: -245232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 3*s - 37, 15 = 11*s - 10*s - 3*z. Sort 139, -2, 2, -4, s.\nAnswer: -4, -2, 2, s, 139","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -375*y**3\/2 + 35*y**2 + 87*y. Is a(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 300 = 2*y + 11157, 0 = -3*q + 5*y + 34374. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**3 + 1617*r**2 + 155250*r = 0.\nAnswer: -414, -125, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4251 - 4240. Calculate the lowest common multiple of 641 and x.\nAnswer: 7051","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -107, -80, -65, -68, -95, -152, -245?\n\"Answer: -i**3 + 34*i - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/21 + -1 + (4 - 1). What is the closest to b in -0.3, 7, -12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r - 21. Let x be a(11). What are the prime factors of 52\/x*31*-5?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*k**2 - 10*k**2 + 21*k**2 + 10*k**2 to y + t*k**2 + u*k and give t.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323728.\nAnswer: 2, 20233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11 + -7 + -2 + -2. Suppose k*v + 3*p - 9 = -3*v, -4*v = -2*p + 6. Suppose v = 3*w - c - 7 - 9, -13 = -4*w + 3*c. Solve -w*y - 16 = -3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 20. Let l be 2\/7 + k\/14. Suppose -6*p - 8 = -l*p, 0 = 4*g - 4*p - 76. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.94305 + -50\nAnswer: -47.05695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.11 + 3. Let b = -10.89 + w. Let l = -10.7 - b. Sort -1\/7, -5\/4, l in descending order.\nAnswer: l, -1\/7, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.055252 - 51.730748. Let a = -52 - x. What is a rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -345*d**2 + 5801*d + 78. Determine h(17).\nAnswer: -1010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + d - 12 = 0. Let z be -2 - -1 - 18\/d. Suppose -z*o + 75 = -90. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + 4*(sqrt(128) + -1)**2)*-4.\nAnswer: -2088 + 256*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93114?\nAnswer: 2, 3, 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5*u - 4. Let d(r) = -r**3 - 11*r**2 - 10*r. Let a be d(-10). Is a at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*s = 101*s + 156. Suppose 5*m = 36 + 29. What is the greatest common divisor of m and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 27 - 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 9:35 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*(-1)\/(-25)*-5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 32*h - 10. Let q(g) = 2*g - 2. Calculate 4*q(m) - y(m).\nAnswer: -24*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5402303 + -5?\nAnswer: 5402254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 2:52 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 13. Let t = 11 - 18. Let c = -2 - t. Solve -c*r = -4 + a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -299*o**2 - 27*o**4 + 299*o**2 + (-5*o**4 + 9*o**3 - 9*o**3)*(-1 + 3 - 1) - 4*o + 3*o - o**4 + 2*o + 6*o**4 - 3*o**4 - 2*o**4.\nAnswer: -32*o**4 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3078284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53759563309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*a - a. Let h(l) be the first derivative of l**2 - 1 + a + 0*l**2 + l. Give h(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**3 + 273*y - 17. Let q(m) = 2*m**3 - 182*m + 12. Determine -5*a(n) - 7*q(n).\nAnswer: n**3 - 91*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2136504 and 2413466.\nAnswer: 276962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (4 - (-36)\/(-8))*-60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9975222 to the nearest ten thousand.\nAnswer: -9980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, 27, -4, 35 in increasing order.\nAnswer: -4, 1, 8, 27, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1101100100101 (base 2) to base 14\nAnswer: 2765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**3*u**3 + k**3*u + 1426*k**3 - 8*k**2*u**3 - 176*u**3 + 2*u**2 wrt k.\nAnswer: -18*u**3 + 6*u + 8556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1911117, -3822246, -5733375, -7644504?\nAnswer: -9555633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j + 20 = -4*p, 5*p + j + 18 = 0. Let a = -6263 - -6261. Sort 2, 6, p, a in decreasing order.\nAnswer: 6, 2, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193270 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i. Suppose -7*y - 15 = -2*y. Let r be (-2)\/y - 16\/24. Let p(v) = -v - 2*v + 7*v + r*v. Give p(h(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1437\/(-7) - -5*14\/(-35). Let x = -207 - d. Factor 0*f - 2\/7 + x*f**2.\nAnswer: 2*(f - 1)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 3078.\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86280 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/(2\/(-28)). Let x = -9 + d. Suppose -5*i = 4*q + 1, 2*q = -2*i - 0 - 2. Sort 0, x, i in descending order.\nAnswer: i, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 916569 and 864.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w**2 + 625*w + 148965. Give v(181).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q + 4 - 4)*(5 - 3 - 3) - 82*q - 11 + 11.\nAnswer: -74*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 2*i - 3. Suppose -3*q = 38 - 20. Is g(q) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1051.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -0.5 (c) 90 (d) 0.201 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -165 - -155. Is 1.9 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 2)*(-z - 4*z + 4*z)*(-1 + 0 + 0) - 48 + z + 48 + (2*z + 0*z + 0*z)*(1 - 3 + 0) - z - 7*z - 5*z as x + v*z and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/24)*o**30*o*(o*(o\/o**7*o)\/o*o)**21 assuming o is positive.\nAnswer: o**(-1273\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k**2 - 4*k - 4. Let c(a) = a**3 + 22*a**2 - 4. Let i be c(-22). What is the units digit of h(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9889 - -9913. Solve -4*w = p*w + 56 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4*(sqrt(85) + (sqrt(85)*-1 - sqrt(85))) - 1*-2*sqrt(85)))\/(-5*sqrt(15)\/(sqrt(27)\/(sqrt(27)\/sqrt(3))))*-1.\nAnswer: -12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1737*t**2 + 45*t + 45. Let y(u) = -79*u**2 - 2*u - 2. Determine -2*l(b) - 45*y(b).\nAnswer: 81*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 69 = 2*k. Suppose 3*s - 5*g - 331 = 0, -1132*s + 4*g = -1131*s - 108. Calculate the remainder when s is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -10 - 10 - (-5 + 0)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 14) to base 10.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/4 + 5\/(-20). Find the second derivative of -4*i**2 + 5*i - 6*i**s + 4*i**2 - 7*i wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 6:55 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1425 + 1426. Put q, -22, -11, 4 in descending order.\nAnswer: 4, q, -11, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 235053 or 375?\nAnswer: 375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a. Let b be j(-4). Suppose 0 = 6*l - b*l - 6. Let u(p) = 2*p**2 - 3*p - 2. Does 3 divide u(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 22993, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 1. Let y be c(1). Suppose 4*s + y*s - 16 = 0. Calculate the highest common factor of s and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -10*s. Let g(w) = 10*w. Determine v(g(i)).\nAnswer: -100*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 11:56 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -3*y + 34, -5*g + 40 = -24*y + 29*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -24, -4, 1 in decreasing order.\nAnswer: 4, 1, -1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*v + 78*v - 105 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*g - 8 = 0, -a + 2*g = -3 - 8. Suppose -3*u + 856 = 4*m, a*m - 2*u + u - 655 = 0. Suppose 5*i - 83 - m = 0. Is i a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 6 - 0. Suppose -11 = -4*n - z. Let d(x) = x - x**n - 2*x + x. Determine d(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -212 + 207. Let a(f) = 2*f**2 + 2*f - 2. Let k be a(-2). Let h = k + p. Which is smaller: h or 2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/10*20\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10073 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108349 + 74435 = 34*f. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.001*-11.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-11\/2)\/(t**(2\/75)*t)*t*t**(15\/8)*t\/t**(5\/3))**(-45) assuming t is positive.\nAnswer: t**(7773\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 333.364 minutes in nanoseconds?\nAnswer: 20001840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1164883 divided by -10687?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3) - 264\/(-18). Let m = -15 - -60. What is the highest common factor of o and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(11) - sqrt(66)\/sqrt(6)*-6)**2 + 3.\nAnswer: 3237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1151\/28 - -169\/4. Let z = -1697 - -11855\/7. What is the common denominator of y and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20220*v**3 + 10112*v**3 + 4*v + 3*v - v - 3*v + 10112*v**3.\nAnswer: 4*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -q + 168, -o - 339 = -3*q + 193. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1913*v - 179*v - 10371*v)*(5 + v - 5).\nAnswer: -12463*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 156067615 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893875471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*m - 25, -4*v + 726*m = 723*m - 36. Solve 9*s = 10*s + v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 1959*x + 21433. Determine d(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -181 (base 10) to base 7.\nAnswer: -346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, l: 8, y: 2}. Give prob of sequence fyy.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -536089139*a**2*z - 45*a*z - 2454697*a wrt a?\nAnswer: -1072178278*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.24759 and 4.\nAnswer: 4.24759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 131*v - 166*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 + 1 + 2 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/13)*y*y**(-9)\/y*y assuming y is positive.\nAnswer: y**(-103\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2 + 30*a = 0. What is a?\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040 take away 5570.3?\nAnswer: -4530.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 + (-77 - 11) + 0 + -6.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12910 is divided by 123.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -144, -296, -520, -816?\nAnswer: -1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3.5, 2\/5, -2, 4\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 889 and 254?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-5)*(2548\/(-52))\/(-6958)?\nAnswer: -4\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0+6037401191\nAnswer: 6037401191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8464, 16959, 25468, 33997, 42552, 51139?\nAnswer: 59764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30441.\nAnswer: 3, 73, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10117207, 10117201, 10117195, 10117189, 10117183?\n\"Answer: -6*t + 10117213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(84))\/(sqrt(189)\/sqrt(3)).\nAnswer: 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -665219 divided by -6?\nAnswer: 665219\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 436 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/5)\/(s*s**(2\/23))*s*s**31*s\/(s\/((s\/((s\/(s\/(s**(1\/35)\/s)))\/s))\/s)) assuming s is positive.\nAnswer: s**(5230\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**4 - 43 + 3*a + 403 - 2*a - 1647 - 2*a**3 as t*a**4 + v + o*a + w*a**3 + b*a**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q**3\/4 - 46919409*q**2\/4 - 31279603*q\/4 - 5213267\/4 = 0. Calculate q.\nAnswer: -5213267, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 9*f**2 + 8*f + 5. Let a be p(8). Find the third derivative of -a*y**5 + 3*y**5 - 5*y**2 + 2*y**2 wrt y.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 - 70. Let k be (45 - 3)\/((-13)\/(260\/(-30))). Suppose -u*c + 15 = -k*c. What is the remainder when 41 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4397 and 4397 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3870 and 3615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5905567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*a**3 - 42*a + 222*a**3 - 82*a**3 + 20*a**2 + 42*a - 18*a**2 - 89*a**3.\nAnswer: -18*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 233 + 336. Let s = o + -567. Suppose -3*x**3 + 2*x**s + 0 - 1\/2*x**5 - 1\/2*x + 2*x**4 = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-96)\/36)\/(2\/(-3)). Let g(t) = -2*t**3 + 2*t**2 + t. Let r = -5 + 4. Let d be g(r). Solve q*h = d*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.109 times -47.6295?\nAnswer: -52.8211155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00128493 to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a minute in seconds?\nAnswer: 825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 s, 1 p, and 1 k when four letters picked without replacement from zkkspfu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.48 - 0.4. Let n = g + -0.08. Suppose 9*d - 13*d + 12 = 0. What is the nearest to n in d, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 540478 + 6?\nAnswer: 540481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 319*x + 6 + 99*x - 2.\nAnswer: 418*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 6*r - 331 = -3*v, -r + 1 = 0. Let a = 6 + 38. What is the greatest common factor of a and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*g - 236, 0*g + g - 143 = 3*h. Let w be h\/(-216) + (-4)\/18. Suppose w = -4*c + 7 + 65. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2298384?\nAnswer: 2, 3, 11, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**2 - 1252*x - 4944 = 0. Calculate x.\nAnswer: -309, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35 and -499.\nAnswer: 17465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + (-4 - (-4)\/(3 + -1)). Suppose -4*n - z = -91. Calculate the highest common factor of 55 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39\/15)\/1 - 27\/(-117)*-13\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-930)\/775*(54\/(-22) - -2).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8*6)\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5 = -6*c + g, 5*g = -2*c - 29 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/11 - 3887*r\/11 + 2959072\/11 = 0. What is r?\nAnswer: 1039, 2848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 438\nAnswer: -2190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 341316 - -43?\nAnswer: 341361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 668*v + 824*v + 13428 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257877 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.26789073 to 0 decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 3 - (-10 + 2). Let p = d + -7. Let i be (-3)\/(-12) - (-10)\/24. What is the nearest to p in i, -4\/5, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k - 2*k - 2*k + (0 + 11 + 1)*(k + 0*k + 2*k) - k + 4*k - k to the form m*k + y and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9*3)\/(((-2)\/7)\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**4\/2 - v**3\/3 + 2*v**2 + 4*v + 25651. Let o = 6 - 13. Let u(g) = -4*g**3 + 2*g**2 - 7*g - 7. Determine o*h(p) - 4*u(p).\nAnswer: 2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - (4 + (sqrt(1872) - sqrt(1872)*2 - sqrt(1872)) + sqrt(1872))**2) + sqrt(1872).\nAnswer: -1888 + 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3618881 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38444*z**3 - 13801*z**3 - 13194*z**3 + (1 - z**2 - 1)*(0 + 0 + z).\nAnswer: 11448*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*i**2 + 1 + 3 + i**2 - 3 + (4 - 1 - 2)*(-2 + i**2 + 2) + i**2 + 0*i**2 + 0*i**2 + i**2 - 3*i**2 + 3*i**2 - i + 2*i**2 + i - i**2 - 4*i + 4*i.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, -36, -133, -320, -627, -1084?\n\"Answer: -5*j**3 - 2*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**4\/4 + 2*i**3 - 3*i**2 + 7*i + 38. Let o(d) = -d**3 + 3*d**2 + 3*d - 4. Let r be o(3). Determine g(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 32841*n**3 - 2*n**2 + 240*n - 239. What is the thousands digit of q(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/24)\/(-4 - (-219)\/54)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407581 = -2*m + p, -m + 203792 = -29*p + 28*p. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -114*h**2*t**2 + 741*h**2*t + 608*h*t + 14*h + 528138*t**4 - 1 wrt t.\nAnswer: -228*h**2 + 6337656*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {s: 4, w: 4, t: 10, e: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 66*x + 316. What is i(5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/165 and 29\/165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, -2\/13, -0.01, -28?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (942\/(-15))\/(-1)*(-210)\/(-14). Suppose 2*m + t - k = 1267, 2*m - 5*t - 2191 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*f - 18 = 0, 2*f - 14 = i + 6*f. Suppose 0 = -i*c + 4*c - 12. What is the remainder when 15 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -131\/3 + 395\/9. Which is the biggest value? (a) 2 (b) 2\/3 (c) q (d) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**6\/120 + v**5\/10 - 7*v**4\/24 - 2*v**3\/3 - 5*v**2. Let l be c(4). Suppose l = 2*n + 4*n - 24. Solve m + 9 = n*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.3. Let j = -2 + 8. Let i be (-39)\/104*4\/j. Which is the nearest to y? (a) i (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**33*p**(-36)*p**(-34)*p\/(p*p\/((p*p**19)\/p)*p) assuming p is positive.\nAnswer: p**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - g + 1455480 = 0. Suppose -669997 = z - 3*m, z + m = -378905 - g. Round z to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 530001?\nAnswer: 526660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159904?\nAnswer: 2, 19, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21201 + -211?\nAnswer: -22112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 - 0.1. Let k = -15 - -17. Let a = k + -1.6. What is the second biggest value in -0.2, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19742*s + 31945 = 18703*s - 34551 for s.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1089*b - 3240. Determine o(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15189 - -42?\nAnswer: -15147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -158 - -470\/3. What is the biggest value in 8, -0.4, r?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 4*y**2 - 4*y - 4. Let p be m(-4). Suppose -q + p = q. Is (38\/3)\/(4\/q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1437 - 7611 = 441*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43673058 + -0.365.\nAnswer: 43673057.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 825*k - 4150.\nAnswer: (k - 5)*(k + 830)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 0 - (-11 - -69 - 49)) + -39?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -156*r**2 + 76*r**2 - r + 56*r**2 + 22 - 18 as m*r + n*r**2 + y and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -17*t**3 - 2*t + 2. Suppose 5*q = 5*m - 30, 5*m - 7 = -2. Let i(n) = -4*n**2 - 4*n**3 + n + 15*n**3 - 1 + 4*n**2. Give q*c(g) - 8*i(g).\nAnswer: -3*g**3 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64 in 0.01, -108, 7, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 8:19 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljj when three letters picked without replacement from nllljlpjlpl?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 51*w - 770 = 0 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 + 311*c.\nAnswer: 311*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a - 16. Let w be i(-7). Find the common denominator of (w\/(-2) - -1)*(-84)\/50 and -95\/2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*b**2*i**3*k*s - b**2*i**2*s + b**2*i - 15*b*k*s - 2*i**3*k*s + 7*i**3*s + 3*i**2*k*s - i*k*s + i*k wrt i?\nAnswer: 360*b**2*k*s - 12*k*s + 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3106, 6209, 9312, 12415, 15518, 18621?\nAnswer: 21724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1242 + -1219. Suppose -4*d = d - 30. Calculate the remainder when j is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.442 - 26.842. What is the smallest value in 31, z, 27?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a - 50. Calculate x(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 z when three letters picked without replacement from {o: 1, f: 1, n: 9, z: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.017 + -3473\nAnswer: -3471.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5657 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4 + 123*k**3 + 1978*k**2 + 2580*k - 1800 = 0 for k.\nAnswer: -30, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + -3 + 3)*1. Let o(k) = 2*k**2 + k - 3. Let t be o(u). Calculate the greatest common factor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 0*h**5 - 4*h + 1\/3*h**3 + 0*h**4 - 1\/21*h**7 + 0 + 0*h**6 + 0*h**2. Find the second derivative of t(w) wrt w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 6*c**2 + 9*c + 6. Let x be n(-4). Let o(j) = 2*j**3 - 3*j**2 - 2*j - 1. What is the smallest common multiple of 23\/((-69)\/(-36))*x and o(3)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-12) - (-19)\/(-57)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 0 + -1 + -1. Let g = 19394 + -174565\/9. Does g = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29 and 254?\nAnswer: 7366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 2*u + 3 - 1 + (-1 - 1 + 3)*(2 - 2 - 2*u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*t**2 + 50*t**2 - 106*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 464.4837095 and 0?\nAnswer: 464.4837095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -61 - ((14 - 28 - -1) + 18 + -23)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-6)*(3 + 0). Let l be (-1 - -6)*8\/20. Solve l*k = 5*m + u*k + 10, 0 = 4*k + 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -519 - -517. Which is the closest to f? (a) -1 (b) 2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**2*u + 48*q*u**2 - 303*u**2 with respect to q.\nAnswer: 2*q*u + 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from qlqyylcqq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43890 by 330.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/9 + 182*m\/3 - 1084\/9.\nAnswer: -2*(m - 271)*(m - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(22)\/sqrt(1584) + 1)*-3)**2.\nAnswer: 9*sqrt(2) + 2593\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 27185450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.77 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.03? (a) -4 (b) 3 (c) 110540\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 532?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246293348?\nAnswer: 2, 7, 17, 47, 101, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -559511924, -559511925, -559511926?\nAnswer: -559511927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**4\/6 + 9*u**3 - 125*u**2\/6 + 14*u - 221. Find z such that y(z) = 0.\nAnswer: -42, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 2*g + 1. Suppose 0 = -3*t - 2 - 4. Let f be h(t). Suppose 4*x = 3*l + 44, -12 = -f*x + 3*x - l. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hccf when four letters picked without replacement from {t: 1, f: 7, u: 4, h: 4, c: 2}.\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 4 = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004292830132 to 7 decimal places.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -30.5141.\nAnswer: 30.4141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**2 + 8*u**2 - 5 + u**2 + 2*u**3 - 4*u. Let c(o) = -2*o**3 - 3*o**2 + 3*o + 4. Calculate -4*c(g) - 3*h(g).\nAnswer: 2*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 3. Determine t(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 16, -3472, -2 in ascending order.\nAnswer: -3472, -2, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + -3*((sqrt(1377) - (-1 + sqrt(1377))) + sqrt(1377))*2 + ((1 + sqrt(1377))*-1 - (-1 + sqrt(1377))*3)*6))**2.\nAnswer: -53460*sqrt(17) + 11154789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + c + 1. Let u(i) = -3*i**2 + 5*i + 5. Let j = -12711 - -12712. Give j*u(f) - 6*p(f).\nAnswer: 3*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -2. Suppose -x = 3, s*t - 4*x = -20 + 116. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5344195 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o - 5. Let p(j) = -1. Suppose f = -2*f - 9. Calculate f*p(m) + y(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 70758905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - -1)\/(-2)*1. Let g(p) = -4*p + 4. Let v be g(w). Calculate the highest common factor of 264 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-20)*90\/12. Let x = i + 5\/4. Sort 0.2, -1, x in descending order.\nAnswer: x, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 15*v - 127. Calculate n(21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 596 divide 4984044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5075 and 3451?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*z + 204 = 64*z. Calculate the lowest common multiple of 12 and z + -1 + (3 - -4).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 0*q + 3*q - 4*q + 7 - 3*q + q**2. Give k(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3 = -t. Let l be (t - 3)*3\/(1 + -7). Suppose 0*m + 9*m - 27 = l. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4.6 (b) -1\/54 (c) -26 (d) -1\/6 (e) -1\/8 (f) -4 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 1 - 1)*(2 - 1 + 1) - 1 - 2*z + 1 + (139 - 139 - 43*z)*(4 + 18 + 23) - 3*z + z + z.\nAnswer: -1940*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*i - 18 = 0, -3*k + k + 4*i + 4 = 0. Suppose -5*y = k*h - 3*h - 35, 0 = -3*y - 9. What is the remainder when h is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11295 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 - 67. Suppose -2*h = -a*h - 5*d + 105, 5*d = 0. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5179851 years in months?\nAnswer: 6.2158212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/5052 and 7\/6736?\nAnswer: 20208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d + 3*d**3 - 24*d**2 + 22*d**2 - 2*d**4 - d**3 + d to c*d**2 + k*d + o*d**3 + z*d**4 + h and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*v + 309 + 2388. Let p be (6 - 1)\/(7 - (-370)\/(-60)). Calculate the highest common factor of v and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2087?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*b - 5, -4*b = -4*g - 6*b + 22. Calculate the greatest common factor of g and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 15410*n - 812*n - 7069*n - 2)*(-4 - 1 + 4) to the form d*n + w and give d.\nAnswer: 23291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - -10001?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/5 - 1440378*p**2\/5 + 11522928*p\/5 - 23045792\/5 = 0. Calculate p.\nAnswer: 4, 720181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1952047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.4, 70?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 11:27 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*q + 40*q**4 - 73*q - 2 - 2*q**3 - 6*q**4 + 2 wrt q.\nAnswer: 408*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -281*t**2 + 47*t + 3.\nAnswer: -562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + sqrt(1900) + 1 + -3 - -3*sqrt(1900)*1) + 1 + sqrt(19) + 3 + (sqrt(19) - (3 + sqrt(19) + -1)).\nAnswer: 51*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(2)*3 + (sqrt(2) - (sqrt(6)*3)\/sqrt(3))**2 + sqrt(2).\nAnswer: 4*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(2 + 0 - 1)*(-2*v + 9*v + 2*v)*(-2 + 2 + v) in the form m*v**2 + j*v + w and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 267.1 + -285.1. Which is the nearest to -2? (a) g (b) 0.02 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 0*y - 72\/7*y**2 + 38\/7*y**4 + 0 - 32\/7*y**3 - 2\/7*y**5 = 0.\nAnswer: -1, 0, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 y when three letters picked without replacement from {j: 6, l: 1, y: 1, p: 8}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2 + 2. Let u = 9 + s. Suppose -3*g + 23 = 2*x - u*x, 8 = 2*g + 4*x. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10*(-7)\/(-280))\/(1\/12). Let i = 31228\/59261 + -2\/3119. Sort -0.4, n, i in ascending order.\nAnswer: -0.4, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)*b)**(-37\/5))**(-28) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9.713292 centimeters?\nAnswer: 97132.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -24438242444.\nAnswer: 24438242443.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.43 in 33, -0.1, -0.2, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/19 (b) 0.05 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 513\/39 - (-186)\/(-1209). Solve 0 = 3*v - 3*t + 27, -g*t + 12*t + 24 = -4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.214 - -0.094. Let f = 0.035 + n. Let c = f + -0.115. What is the third smallest value in c, 8, 0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(2\/6*-1). What is the derivative of l*p + 10 - 3*p + 9*p wrt p?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -3*o**8\/8 - 13*o**6\/30 - 13*o**4\/12 + o**3\/6 + 31*o. Find the third derivative of h(m) wrt m.\nAnswer: -2520*m**3 - 312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306603152?\nAnswer: 2, 19, 1008563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44.43 + -44. What is k rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1241421 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3595 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -848*h + 846*h - 1 + 1.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -100, -119, -138?\n\"Answer: -19*u - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -11074.\nAnswer: 3\/11074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8 - 2*y + 0*y + 2*y**2 + 0*y**2 - 8*y. Is x(6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -4*k + 4, 2*h + 3 = 3*k - 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooocotctoo. What is prob of sequence otc?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 11*x**2 + 13*x + 33. Give o(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9050.366997 rounded to the nearest 100?\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247177031.\nAnswer: 103, 337, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*i = -4*m - 4, 0 = -4*m - 2*i + 2. Suppose 2*z - 3*z + 80 = m. Calculate the highest common divisor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.42 - -0.22. Let u = -21.9 + 22.1. What is the closest to u in 1\/2, 4, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 - 228969*k\/2 - 6183621.\nAnswer: (k - 229023)*(k + 54)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.961 - 0.331. Let j = z + 0.07. Let u = j - -29.1. Round u to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(5 + 31\/(-6)). Let c(l) = -l + 1. Give c(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -350 and -1401\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7455788*c**4 + 10454206*c.\nAnswer: -89469456*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -127 (b) 3\/8 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moy when three letters picked without replacement from romicmyo?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**3 - 5*c**2 + 9*c. Let p(d) = 2*d**3 - 2*d**2 + 4*d. Suppose -2*z - 15 = 3. What is z*p(f) + 4*k(f)?\nAnswer: -2*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52901636677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 - 6.8. Let m = -23\/4 + 6. Which is the second smallest value? (a) m (b) p (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -12. Sort c, 0, 1.\nAnswer: 0, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 3535 (c) -0.16 (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15863.29 nanoseconds to microseconds.\nAnswer: 15.86329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 325869087\/226634 + -67579\/47. Find the common denominator of -87\/4 and x.\nAnswer: 9644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81.3 + 82.1. Sort 2\/17, w, 0.3, 1\/6 in decreasing order.\nAnswer: w, 0.3, 1\/6, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*s**3 - 216*s**3 + 297*s + 299*s - 220*s**3 + 11*s**2 - 5*s.\nAnswer: s**3 + 11*s**2 + 591*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*h)*(11 - 6*h - 11)*(-2 + 0 + 0) as w*h + y*h**2 + t and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 8*z - 18. Let n be w(10). Suppose n*d = 3*p - 646, 0 = 3*p - 8*p + d + 1086. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.45 - 0.05. Let u = l + -0.8. Let o = -0.6 - u. What is o rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 13*m - 5*z = -16, -2*z + 28 = 5*m. Which is greater: 29\/11 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -791.000722 + 791. Round l to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43\/26 - 58\/39. What is h in -14\/3*h - 98\/3 - d*h**2 = 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**11)**(-2\/23)*a**(-8\/7)\/(a\/(a*((a\/a**(-28))\/a)\/a)) assuming a is positive.\nAnswer: a**(4009\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51122304 + 1?\nAnswer: 51122305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -487 (b) -5 (c) 4\/17 (d) -2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 132463, 132450, 132439, 132436, 132447?\n\"Answer: i**3 - 5*i**2 - 5*i + 132472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 + 42. Let i = n - -3.068. Let l = i + -0.0779. Round l to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -31. Suppose k*b + 4 = -5*t - 9, 0 = 5*t - 5*b + 40. Let o = t + 21. What is the remainder when 44 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 19 = 5*l, 58*l - 56*l + 11 = 5*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83\/(-2 - (-56)\/24) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*z - 18 = 0, 3*z - 2 = 4*x + 2. Find the third derivative of -67*j**3 - 49*j**3 + 23*j**x + j + 159*j**3 wrt j.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133.14 - 0.14. Let b = 133.5 - n. What is the closest to -0.06 in b, -3, -8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -6018.767?\nAnswer: 2407.5068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.09 and 776170.\nAnswer: 776169.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((3 - -1) + 39\/(-10)). What is the least common multiple of 422\/c - 1 - (-26)\/(-260) and (-4)\/(-14) + 124\/7?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from {h: 4, f: 1, i: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 43 (b) 0.4 (c) 2\/15 (d) 1\/13 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 7*p**2 - 4*p - 12. Let o be w(6). Suppose -2 = -3*g - d + 15, 5*g + 4*d - 40 = o. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 602 and 47971.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 88. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936 is divided by 901.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -8.893.\nAnswer: -8.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 6, 39*k - 3*r = 43*k - 2*r - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1804 - -891. Let a = m + 913.0559. What is a rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 3*f**2 + 17*f + 3. Let z = -1482 + 1488. Determine v(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000123054436 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124228 is divided by 603.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 4*r**2 - 2*r**2 + 29*r - 21*r - 9. Let c be d(5). Suppose 2 = -c*s + 338. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 0*r**5 - 6*r**2 + 0*r + 0*r**4 - 1\/6*r**3 + 0 + 29\/120*r**6. What is the derivative of y(b) wrt b?\nAnswer: 87*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-59 + 40 - 73)*(2*w + 0*w + w) + (-w + w - w)*(-8 - 13 - 6))*(2 + 2 - 2).\nAnswer: -498*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*s - 218 = 55 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/665 and -117\/2223380.\nAnswer: 15563660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 7. Let l(v) = v - 1. Let d be l(-4). Let i be g(d). Solve -i*f = -6 - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2. Let n(c) be the third derivative of -c**4\/12 + 112*c**3\/3 + 20*c**2. Determine n(j(m)).\nAnswer: 2*m**2 + 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2130232312 + -2011?\nAnswer: 2130230301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -3*f, -5*w = 32526*f - 32533*f + 88 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1364, -1350, -1326, -1292, -1248, -1194, -1130?\nAnswer: -1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 = 5*q + j, -3*j + 4*j = -5. What is the highest common factor of q and 3503?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -17 (b) -2\/3 (c) 14 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(153) + sqrt(153)*-2)*-5 + 4 - ((sqrt(153) - (sqrt(153) + 0)) + 4)*5))**2 + 1.\nAnswer: -1920*sqrt(17) + 16325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 7*w**2 + 12*w - 13. Let q be ((-3)\/2)\/(33\/(-154)). Is v(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 15 - 16 - 33. Let o be ((4 + -4)\/(-5))\/(-1). What is q(o)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*y - 40041 + 36131 = 0 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*y - 25, 0 = -4*c + 2*y + 4 + 10. Let l = c - 6. List the prime factors of (9\/2)\/(l\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 2*z - 32. Let j be a(5). Let g be (-4)\/j*(1 - -8)\/3. What are the prime factors of (-98)\/(-2) - g - -2?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/194833 and 9\/2167.\nAnswer: 2143163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -361335, -361394, -361567, -361914, -362495, -363370, -364599?\nAnswer: -366242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*i + 3)*(7*i + 4*i - 5*i)*(-1 + 1 + 2*i).\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -97787460 divided by 2385060\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 244*a**3 - 11*a**2 - 48*a - 120. Let q be x(38). Let m be (q\/(-198))\/(((-3)\/(-200))\/1). What is m rounded to the nearest 100000?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/393509 and -2\/23769?\nAnswer: 3541581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7199424 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(4*s - s - 2*s) + 2*s - 5*s + 0*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.114, -1\/6, -2.7, -5, 38 in ascending order.\nAnswer: -5, -2.7, -1\/6, -0.114, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 26 + 2 = 5*j, 12*i = -j - 28 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 5*i**2 - 7*i + 1. Let z be m(6). Calculate the smallest common multiple of 3 and 3*z*(-3)\/5.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, v: 9, f: 4}. What is prob of picking 4 d?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 50560*l + 3150096.\nAnswer: -4*(l - 62)*(l + 12702)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6115 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**6\/90 - u**5\/30 - u**4\/3 - 5*u**3\/3 - 32*u. Let q(y) be the second derivative of n(y). Factor q(x).\nAnswer: 4*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 2*k**2 - 12*k + 3. What is x(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 - 1222002222?\nAnswer: -1222002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (231 - 116 - 212) + -20\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-310138\nAnswer: -62027.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618*l - 9522 = 211*l + 147*l + 122*l for l.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + i**2 - i + 12. Let z be s(0). Suppose 4*f + 0 - z = 0. Suppose 6*o = f*o + 42. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*o**2 - 345 + 364 + 5*o - 13*o**2 + 0*o - 3*o as p*o**2 + q + k*o and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3.639419 kilograms?\nAnswer: 3639419000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/4 - 7158*k**2 + 200253*k\/4 + 57222.\nAnswer: 3*(k - 9537)*(k - 8)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**5\/12 - 3*y**2 - 5. Let w(g) be the second derivative of d(g). Let x(q) = 2*q. Calculate w(x(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 6 = -0*n. Let t be (1\/1 - 4)*n. Let j = 13 - 8. Solve 3*x - j*x + t = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27665, -27778, -27901, -28040, -28201, -28390?\n\"Answer: -i**3 + i**2 - 109*i - 27556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-486)\/(-48))\/(-9)*24\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5983 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 468 and 780.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - 537. Let a(g) = g. What is q(a(y))?\nAnswer: 2*y**2 - 537","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}